FANDOM


The guppy regiment is a series of 504 numbers from up to tetrational growth rate defined using Hyper-E Notation.[1] The numbers were coined by Sbiis Saibian.

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List of numbers in the regimentEdit

Name of number Hyper-E Notation (exact) Standard notation/Numerical value Fast-growing hierarchy Hardy hierarchy Slow-growing hierarchy
Googol-minutia-speck E(-110) 10-110 f2(357)-1 \({H_{\omega^2}(357)}^{-1}\) \({g_{\omega^{\omega^2+\omega}}(10)}^{-1}\)
Googol-minutia E(-100) 10-100 f2(324)-1 \({H_{\omega^2}(324)}^{-1}\) \({g_{\omega^{\omega^2}}(10)}^{-1}\)
Ogol-minutia E(-80) 10-80 f2(258)-1 \({H_{\omega^2}(258)}^{-1}\) \({g_{\omega^{\omega\times8}}(10)}^{-1}\)
Gogol-minutia E(-50) 10-50 f2(159)-1 \({H_{\omega^2}(159)}^{-1}\) \({g_{\omega^{\omega\times5}}(10)}^{-1}\)
Goby-minutia E(-35) 10-35 f2(109)-1 \({H_{\omega^2}(109)}^{-1}\) \({g_{\omega^{\omega\times3+5}}(10)}^{-1}\)
Minnow-minutia E(-25) 10-25 f2(77)-1 \({H_{\omega^2}(77)}^{-1}\) \({g_{\omega^{\omega\times2+5}}(10)}^{-1}\)
Guppy-minutia E(-20) 10-20 f2(61)-1) \({H_{\omega^2}(61)}^{-1}\) \({g_{\omega^{\omega\times2}}(10)}^{-1}\)
Eyelash mite-speck 2E(-6) 0.000002 f2(15)-1 \({H_{\omega^2}(15)}^{-1}\) \({g_{\omega^5\times5}(10)}^{-1}\)
Dust mite-speck 5E(-6) 0.000005 f2(14)-1 \({H_{\omega^2}(14)}^{-1}\) \({g_{\omega^5\times2}(10)}^{-1}\)
Cheese mite-speck 8E(-6) 0.000008 f2(13)-1 \({H_{\omega^2}(13)}^{-1}\) \({g_{\omega^5}(10)}^{-1}\)
Clover mite-speck 2E(-5) 0.00002 f2(12)-1 \({H_{\omega^2}(12)}^{-1}\) \({g_{\omega^4\times5}(10)}^{-1}\)
Eyelash mite-crumb 2E(-1) 0.2 0.2
Dust mite-crumb 5E(-1) 0.5 0.5
Cheese mite-crumb 8E(-1) 0.8 0.8
Clover mite-crumb 2E0 2 2
Monologue E1#1 10 10
Binary-eyelash mite 2*2^4 32 32
Binary-clover mite 2*2^5 64 64
Binary-dust mite 5*2^4 80 80
Binary-cheese mite, binary-pipsqueak 8*2^4 128 f2(5) \(H_{\omega^2}(5)\) \(g_{\omega^2+\omega\times3}(10)\)
Ternary-eyelash mite 2*3^4 162 f2(5) \(H_{\omega^2}(5)\) \(g_{\omega^2+\omega\times6}(10)\)
Ternary-dust mite 5*3^4 405 f2(6) \(H_{\omega^2}(6)\) \(g_{\omega^2\times4}(10)\)
Ternary-clover mite 2*3^5 486 f2(6) \(H_{\omega^2}(6)\) \(g_{\omega^2\times5}(10)\)
Ternary-cheese mite 8*3^4 648 f2(6) \(H_{\omega^2}(6)\) \(g_{\omega^2\times6}(10)\)
Binary-guppyspeck 2^10 1024 f2(7) \(H_{\omega^2}(7)\) \(g_{\omega^3}(10)\)
Eyelash mite-chunk 2E3 2000 f2(8) \(H_{\omega^2}(8)\) \(g_{\omega^3\times2}(10)\)
Ternary-pipsqueak 3^7 2187 f2(8) \(H_{\omega^2}(8)\) \(g_{\omega^3\times2}(10)\)
Dust mite-chunk 5E3 5000 f2(9) \(H_{\omega^2}(9)\) \(g_{\omega^3\times5}(10)\)
Binary-squeaker 5*2^10 5120 f2(9) \(H_{\omega^2}(9)\) \(g_{\omega^3\times5+\omega^2}(10)\)
Cheese mite-chunk 8E3 8000 f2(10) \(H_{\omega^2}(10)\) \(g_{\omega^3\times8}(10)\)
Octal-eyelash mite 2*8^4 8192 f2(10) \(H_{\omega^2}(10)\) \(g_{\omega^3\times8+\omega^2\times2}(10)\)
Eyelash mite, Clover mite-chunk 2E4 20,000 f2(11) \(H_{\omega^2}(11)\) \(g_{\omega^4\times2}(10)\)
Octal-dust mite 5*8^4 20,480 f2(11) \(H_{\omega^2}(11)\) \(g_{\omega^4\times2}(10)\)
Octal-cheese mite, Binary-small fry, Binary-guppycrumb, Binary-minnowspeck 8*8^4 = 2^15 32,768 f2(11) \(H_{\omega^2}(11)\) \(g_{\omega^4\times3}(10)\)
Dust mite 5E4 50,000 f2(12) \(H_{\omega^2}(12)\) \(g_{\omega^4\times5}(10)\)
Ternary-guppyspeck 3^10 59,049 f2(12) \(H_{\omega^2}(12)\) \(g_{\omega^4\times6}(10)\)
Octal-clover mite 2*8^5 65,536 f2(12) \(H_{\omega^2}(12)\) \(g_{\omega^4\times6+\omega^3\times6}(10)\)
Cheese mite 8E4 80,000 f2(13) \(H_{\omega^2}(13)\) \(g_{\omega^4\times8}(10)\)
Clover mite, Eyelash mite-bunch 2E5 200,000 f2(14) \(H_{\omega^2}(14)\) \(g_{\omega^5\times2}(10)\)
Ternary-squeaker 5*3^10 295,245 f2(14) \(H_{\omega^2}(14)\) \(g_{\omega^5\times3}(10)\)
Dust mite-bunch 5E5 500,000 f2(15) \(H_{\omega^2}(15)\) \(g_{\omega^5\times5}(10)\)
Binary-guppychunk 2^19 524,288 f2(15) \(H_{\omega^2}(15)\) \(g_{\omega^5\times5+\omega^4\times2}(10)\)
Cheese mite-bunch 8E5 800,000 f2(16) \(H_{\omega^2}(16)\) \(g_{\omega^5\times8}(10)\)
Guppybit, Binary-minnowcrumb 2^20 1,048,576 f2(16) \(H_{\omega^2}(16)\) \(g_{\omega^6}(10)\)
Clover mite-bunch 2E6 2,000,000 f2(17) \(H_{\omega^2}(17)\) \(g_{\omega^6\times2}(10)\)
Octal-pipsqueak 8^7=2^21 2,097,152 f2(17) \(H_{\omega^2}(17)\) \(g_{\omega^6\times2+\omega^5}(10)\)
Pipsqueak E7 10,000,000 f2(19) \(H_{\omega^2}(19)\) \(g_{\omega^7}(10)\)
Ternary-small fry, Ternary-guppycrumb, Ternary-minnowspeck 3^15 14,348,907 f2(19) \(H_{\omega^2}(19)\) \(g_{\omega^7+\omega^6\times4}(10)\)
Binary-minnowchunk 2^24 16,777,216 f2(20) \(H_{\omega^2}(20)\) \(g_{\omega^7+\omega^6\times7}(10)\)
Minnowbit, Binary-gobyspeck 2^25 33,554,432 f2(21) \(H_{\omega^2}(21)\) \(g_{\omega^7\times3+\omega^6\times3}(10)\)
Binary-gobycrumb, Octal-guppyspeck 2^30 = 8^10 1,073,741,824 f2(25) \(H_{\omega^2}(25)\) \(g_{\omega^9}(10)\)
Ternary-guppychunk 3^19 1,162,261,467 f2(25) \(H_{\omega^2}(25)\) \(g_{\omega^9+\omega^8}(10)\)
Eyelash mite-crowd 2E9 2,000,000,000 f2(26) \(H_{\omega^2}(26)\) \(g_{\omega^9\times2}(10)\)
Ternary-guppy, Ternary-minnowcrumb 3^20 3,486,784,401 f2(27) \(H_{\omega^2}(27)\) \(g_{\omega^9\times3}(10)\)
Dust mite-crowd 5E9 5,000,000,000 f2(27) \(H_{\omega^2}(27)\) \(g_{\omega^9\times5}(10)\)
Octal-squeaker 5*8^10 5,368,709,120 f2(27) \(H_{\omega^2}(27)\) \(g_{\omega^9\times5+\omega^8\times4}(10)\)
Cheese mite-crowd 8E9 8,000,000,000 f2(28) \(H_{\omega^2}(28)\) \(g_{\omega^9\times8}(10)\)
Guppyspeck, Dialogue 10^10 10,000,000,000 f2(28) \(H_{\omega^2}(28)\) \(g_{\omega^\omega}(10)\)
Binary-gobychunk 2^34 17,179,869,184 f2(29) \(H_{\omega^2}(29)\) \(g_{\omega^\omega+\omega^9\times7}(10)\)
Clover mite-crowd 2E10 20,000,000,000 f2(29) \(H_{\omega^2}(29)\) \(g_{\omega^\omega\times2}(10)\)
Gobybit 2^35 34,359,738,368 f2(30) \(H_{\omega^2}(30)\) \(g_{\omega^\omega\times3}(10)\)
Little squeaker 5E10 50,000,000,000 f2(31) \(H_{\omega^2}(31)\) \(g_{\omega^\omega\times5}(10)\)
Ternary-minnowchunk 3^24 282,429,536,481 f2(33) \(H_{\omega^2}(33)\) \(g_{\omega^{\omega+1}\times3}(10)\)
Ternary-minnow, Ternary-gobyspeck 3^25 847,288,609,443 f2(34) \(H_{\omega^2}(34)\) \(g_{\omega^{\omega+1}\times8}(10)\)
Binary-gogolspeck, Quaternary-guppy 2^40 1,099,511,627,776 \(f_2(35)\) \(H_{\omega^2}(35)\) \(g_{\omega^{\omega+2}+\omega^{\omega+1}}(10)\)
Octal-small fry, Octal-guppycrumb, Octal-minnowspeck, Binary-gogolcrumb 8^15=2^45 35,184,372,088,832 f2(40) \(H_{\omega^2}(40)\) \(g_{\omega^{\omega+3}\times4}(10)\)
Quinary-guppy 5^20 95,367,431,640,625 f2(41) \(H_{\omega^2}(41)\) \(g_{\omega^{\omega+4}}(10)\)
Eyelash mite-swarm 2E14 200,000,000,000,000 f2(42) \(H_{\omega^2}(42)\) \(g_{\omega^{\omega+4}\times2}(10)\)
Ternary-gobycrumb 3^30 205,891,132,094,649 f2(42) \(H_{\omega^2}(42)\) \(g_{\omega^{\omega+4}\times2+\omega^{\omega+2}\times6}(10)\)
Dust mite-swarm 5E14 500,000,000,000,000 f2(43) \(H_{\omega^2}(43)\) \(g_{\omega^{\omega+4}\times5}(10)\)
Binary-gogolchunk 2^49 562,949,953,421,312 f2(44) \(H_{\omega^2}(44)\) \(g_{\omega^{\omega+4}\times6}(10)\)
Cheese mite-swarm 8E14 800,000,000,000,000 f2(44) \(H_{\omega^2}(44)\) \(g_{\omega^{\omega+4}\times8}(10)\)
Small fry, Guppycrumb, Minnowspeck E15 1,000,000,000,000,000 f2(44) \(H_{\omega^2}(44)\) \(g_{\omega^{\omega+5}}(10)\)
Gogolbit 2^50 1,125,899,906,842,624 f2(45) \(H_{\omega^2}(45)\) \(g_{\omega^{\omega+5}+\omega^{\omega+4}}(10)\)
Clover mite-swarm 2E15 2,000,000,000,000,000 f2(45) \(H_{\omega^2}(45)\) \(g_{\omega^{\omega+5}\times2}(10)\)
Ternary-gobychunk 3^34 16,677,181,699,666,569 f2(48) \(H_{\omega^2}(48)\) \(g_{\omega^{\omega+6}\times2}(10)\)
Ternary-goby 3^35 50,031,545,098,999,707 f2(50) \(H_{\omega^2}(50)\) \(g_{\omega^{\omega+6}\times5}(10)\)
Octal-guppychunk 8^19=2^57 144,115,188,075,855,872 f2(51) \(H_{\omega^2}(51)\) \(g_{\omega^{\omega+7}}(10)\)
Guppybyte, Octal-minnowcrumb 8^20=2^60 1,152,921,504,606,846,976 f2(55) \(H_{\omega^2}(55)\) \(g_{\omega^{\omega+8}}(10)\)
Guppychunk 10^19 10,000,000,000,000,000,000 f2(57) \(H_{\omega^2}(57)\) \(g_{\omega^{\omega+9}}(10)\)
Ternary-gogolspeck 3^40 12,157,665,459,056,928,801 f2(57) \(H_{\omega^2}(57)\) \(g_{\omega^{\omega+9}+\omega^{\omega+8}\times2}(10)\)
Binary-prawn 2^65 36,893,488,147,419,103,232 f2(59) \(H_{\omega^2}(59)\) \(g_{\omega^{\omega+9}\times4}(10)\)
Guppy, Minnowcrumb E20 1020 f2(60) \(H_{\omega^2}(60)\) \(g_{\omega^{\omega\times2}}(10)\)
Binary-ogolspeck 2^70 ~1.180592*1021 f2(64) \(H_{\omega^2}(64)\) \(g_{\omega^{\omega\times2+1}}(10)\)
Ternary-gogolcrumb 3^45 ~2.954312*1021 f2(65) \(H_{\omega^2}(65)\) \(g_{\omega^{\omega\times2+1}\times3}(10)\)
Duodecimal-guppy 12^20 ~3.833760*1021 f2(66) \(H_{\omega^2}(66)\) \(g_{\omega^{\omega\times2+1}\times4}(10)\)
Octal-minnowchunk 8^24=2^72 ~4.722366*1021 f2(66) \(H_{\omega^2}(66)\) \(g_{\omega^{\omega\times2+1}\times5}(10)\)
Ternary-gogolchunk 3^49 ~2.392293*1023 f2(71) \(H_{\omega^2}(71)\) \(g_{\omega^{\omega\times2+3}\times2}(10)\)
Minnowbyte, Binary-lightweight, Octal-gobyspeck, Binary-ogolcrumb 8^25=2^75 ~3.777893*1023 f2(72) \(H_{\omega^2}(72)\) \(g_{\omega^{\omega\times2+3}\times3}(10)\)
Binary-ogolchunk 2^79 ~6.044629*1023 f2(73) \(H_{\omega^2}(73)\) \(g_{\omega^{\omega\times2+3}\times6}(10)\)
Ternary-gogol 3^50 ~7.178980*1023 f2(73) \(H_{\omega^2}(73)\) \(g_{\omega^{\omega\times2+3}\times7}(10)\)
Minnowchunk 10^24 1024 f2(73) \(H_{\omega^2}(73)\) \(g_{\omega^{\omega\times2+4}}(10)\)
Ogolbit, Hexadecimal-guppy 2^80=16^20 ~1.208926*1024 f2(74) \(H_{\omega^2}(74)\) \(g_{\omega^{\omega\times2+4}}(10)\)
Minnow, Gobyspeck E25 1025 f2(77) \(H_{\omega^2}(77)\) \(g_{\omega^{\omega\times2+5}}(10)\)
Binary-twerpuloid 2^85 ~3.868562*1025 f2(79) \(H_{\omega^2}(79)\) \(g_{\omega^{\omega\times2+5}\times4}(10)\)
Vigesimal-guppy 20^20 1.048576*1026 f2(80) \(H_{\omega^2}(80)\) \(g_{\omega^{\omega\times2+6}}(10)\)
Binary-googolspeck, Octal-gobycrumb 2^90=8^30 ~1.237940*1027 f2(84) \(H_{\omega^2}(84)\) \(g_{\omega^{\omega\times2+7}}(10)\)
Binary-googolcrumb 2^95 ~3.961408*1028 f2(88) \(H_{\omega^2}(88)\) \(g_{\omega^{\omega\times2+7}}(10)\)
Binary-googolchunk 2^99 ~6.338253*1029 f2(92) \(H_{\omega^2}(92)\) \(g_{\omega^{\omega\times2+9}\times6}(10)\)
Gobycrumb 10^30 1030 f2(93) \(H_{\omega^2}(93)\) \(g_{\omega^{\omega\times3}}(10)\)
Googolbit, Quaternary-gogol, Binary-guppyding 2^100 ~1.267651*1030 f2(93) \(H_{\omega^2}(93)\) \(g_{\omega^{\omega\times3}}(10)\)
Octal-gobychunk 8^34=2^102 ~5.070602*1030 f2(95) \(H_{\omega^2}(95)\) \(g_{\omega^{\omega\times3}\times5}(10)\)
Ternary-prawn 3^65 ~1.030105*1031 f2(96) \(H_{\omega^2}(96)\) \(g_{\omega^{\omega\times3+1}}(10)\)
Gobybyte 8^35=2^105 ~4.056482*1031 f2(98) \(H_{\omega^2}(98)\) \(g_{\omega^{\omega\times3+1}\times4}(10)\)
Ternary-ogolspeck 3^70 ~2.503156*1033 f2(104) \(H_{\omega^2}(104)\) \(g_{\omega^{\omega\times3+3}\times3}(10)\)
Gobychunk 10^34 1034 f2(107) \(H_{\omega^2}(107)\) \(g_{\omega^{\omega\times3+4}}(10)\)
Quinary-gogol 5^50 ~8.881784*1034 f2(109) \(H_{\omega^2}(109)\) \(g_{\omega^{\omega\times3+9}}(10)\)
Goby E35 1035 f2(109) \(H_{\omega^2}(109)\) \(g_{\omega^{\omega\times3+5}}(10)\)
Sexagesimal-guppy 60^20 ~3.656158*1035 f2(111) \(H_{\omega^2}(111)\) \(g_{\omega^{\omega\times3+5}\times4}(10)\)
Ternary-ogolcrumb 3^75 ~6.082668*1035 f2(112) \(H_{\omega^2}(112)\) \(g_{\omega^{\omega\times3+5}\times6}(10)\)
Octal-gogolspeck 8^40=2^120 ~1.329228*1036 f2(113) \(H_{\omega^2}(113)\) \(g_{\omega^{\omega\times3+6}}(10)\)
Ternary-ogolchunk 3^79 ~4.926961*1037 f2(118) \(H_{\omega^2}(118)\) \(g_{\omega^{\omega\times3+7}\times5}(10)\)
Ternary-ogol 3^80 ~1.478088*1038 f2(120) \(H_{\omega^2}(120)\) \(g_{\omega^{\omega\times3+8}}(10)\)
Gogolspeck 10^40 1040 f2(126) \(H_{\omega^2}(126)\) \(g_{\omega^{\omega\times4}}(10)\)
Ternary-twerpuloid 3^85 ~3.591756*1040 f2(128) \(H_{\omega^2}(128)\) \(g_{\omega^{\omega\times4}\times4}(10)\)
Octal-gogolcrumb 8^45=2^135 ~4.355614*1040 f2(128) \(H_{\omega^2}(128)\) \(g_{\omega^{\omega\times4}\times4}(10)\)
Ternary-googolspeck 3^90 ~8.727964*1042 f2(135) \(H_{\omega^2}(135)\) \(g_{\omega^{\omega\times4+1}\times9}(10)\)
Octal-gogolchunk 8^49=2^147 ~1.784060*1044 f2(140) \(H_{\omega^2}(140)\) \(g_{\omega^{\omega\times4+4}\times2}(10)\)
Gogolcrumb 10^45 1045 f2(142) \(H_{\omega^2}(142)\) \(g_{\omega^{\omega\times4+5}}(10)\)
Gogolbyte 8^50=2^150 ~1.427248*1045 f2(143) \(H_{\omega^2}(143)\) \(g_{\omega^{\omega\times4+5}}(10)\)
Ternary-googolcrumb 3^95 ~2.120895*1045 f2(143) \(H_{\omega^2}(143)\) \(g_{\omega^{\omega\times4+5}\times2}(10)\)
Ternary-googolchunk 3^99 ~1.717925*1047 f2(150) \(H_{\omega^2}(150)\) \(g_{\omega^{\omega\times4+7}\times2}(10)\)
Ternary-googol 3^100 ~5.153775*1047 f2(151) \(H_{\omega^2}(151)\) \(g_{\omega^{\omega\times4+7}\times5}(10)\)
Quaternary-gogol 4^80=2^160 ~1.461502*1048 f2(153) \(H_{\omega^2}(153)\) \(g_{\omega^{\omega\times4+7}\times2}(10)\)
Gogolchunk 10^49 1049 f2(155) \(H_{\omega^2}(155)\) \(g_{\omega^{\omega\times4+9}}(10)\)
Gogol E50 1050 f2(159) \(H_{\omega^2}(159)\) \(g_{\omega^{\omega\times5}}(10)\)
Duodecimal-gogol 12^50 ~9.100438*1053 f2(172) \(H_{\omega^2}(172)\) \(g_{\omega^{\omega\times5+3}\times9}(10)\)
Quinary-ogol 5^80 ~8.271806*1055 f2(178) \(H_{\omega^2}(178)\) \(g_{\omega^{\omega\times5+5}\times8}(10)\)
Octal-prawn 8^65=2^195 ~5.021681*1058 f2(187) \(H_{\omega^2}(187)\) \(g_{\omega^{\omega\times5+8}\times5}(8)\)
Quaternary-googol, Hexadecimal-ogol, Binary-guppychime 4^100=16^50=2^200 ~1.606938*1060 f2(192) \(H_{\omega^2}(192)\) \(g_{\omega^{\omega\times6}\times2}(8)\)
Octal-ogolspeck 8^70=2^210 ~1.645505*1063 f2(202) \(H_{\omega^2}(202)\) \(g_{\omega^{\omega\times6+3}\times2}(10)\)
Jumbo shrimp E65 1065 f2(208) \(H_{\omega^2}(208)\) \(g_{\omega^{\omega\times6+5}}(10)\)
Vigesimal-gogol 20^50 ~1.125900*1065 f2(208) \(H_{\omega^2}(208)\) \(g_{\omega^{\omega\times6+5}}(10)\)
Octal-lightweight, Octal-ogolcrumb 8^75=2^225 ~5.391989*1067 f2(217) \(H_{\omega^2}(217)\) \(g_{\omega^{\omega\times6+7}\times5}(10)\)
Quinary-googol 5^100 ~7.888609*1069 f2(224) \(H_{\omega^2}(224)\) \(g_{\omega^{\omega\times6+9}\times8}(10)\)
Ogolspeck 10^70 1070 f2(225) \(H_{\omega^2}(225)\) \(g_{\omega^{\omega\times7}}(10)\)
Octal-ogolchunk 8^79=2^237 ~2.208559*1071 f2(229) \(H_{\omega^2}(229)\) \(g_{\omega^{\omega\times7+1}\times2}(10)\)
Ogolbyte 8^80=2^240 ~1.766847*1072 f2(232) \(H_{\omega^2}(232)\) \(g_{\omega^{\omega\times7+2}\times2}(10)\)
Lightweight, Ogolcrumb E75 1075 f2(241) \(H_{\omega^2}(241)\) \(g_{\omega^{\omega\times7+5}}(10)\)
Binary-gogolding 2^250 ~1.809251*1075 f2(242) \(H_{\omega^2}(242)\) \(g_{\omega^{\omega\times7+5}\times2}(10)\)
Octal-twerpuloid 8^85=2^255 ~5.789604*1076 f2(247) \(H_{\omega^2}(247)\) \(g_{\omega^{\omega\times7+6}\times6}(10)\)
Ogolchunk 10^79 1079 f2(254) \(H_{\omega^2}(254)\) \(g_{\omega^{\omega\times7+9}}(10)\)
Ogol E80 1080 f2(258) \(H_{\omega^2}(258)\) \(g_{\omega^{\omega\times8}}(10)\)
Octal-googolspeck 8^90=2^270 ~1.897137*1081 f2(262) \(H_{\omega^2}(262)\) \(g_{\omega^{\omega\times8+1}\times2}(10)\)
Tiny twerpuloid E85 1085 f2(274) \(H_{\omega^2}(274)\) \(g_{\omega^{\omega\times8+5}}(10)\)
Octal-googolcrumb 8^95=2^285 ~6.216540*1085 f2(277) \(H_{\omega^2}(277)\) \(g_{\omega^{\omega\times8+5}\times6}(10)\)
Duodecimal-ogol 12^80 ~2.160228*1086 f2(279) \(H_{\omega^2}(279)\) \(g_{\omega^{\omega\times8+6}\times2}(10)\)
Sexagesimal-gogol 60^50 ~8.082813*1088 f2(287) \(H_{\omega^2}(287)\) \(g_{\omega^{\omega\times8+8}\times8}(10)\)
Octal-googolchunk 8^99=2^297 ~2.546295*1089 f2(289) \(H_{\omega^2}(289)\) \(g_{\omega^{\omega\times8+9}\times3}(10)\)
Googolspeck E90 1090 f2(291) \(H_{\omega^2}(291)\) \(g_{\omega^{\omega\times9}}(10)\)
Googolbyte, Octal-guppyding 8^100=2^300 ~2.037036*1090 f2(292) \(H_{\omega^2}(292)\) \(g_{\omega^{\omega\times8+9}\times2}(10)\)
Googolcrumb E95 1095 f2(307) \(H_{\omega^2}(307)\) \(g_{\omega^{\omega\times9+5}}(10)\)
Hexadecimal-ogol 16^80=2^320 ~2.135987*1096 f2(312) \(H_{\omega^2}(312)\) \(g_{\omega^{\omega\times9+6}\times2}(10)\)
Googolchunk E99 1099 f2(320) \(H_{\omega^2}(320)\) \(g_{\omega^{\omega\times9+9}}(10)\)
Guppyding E100 10100 f2(324) \(H_{\omega^2}(324)\) \(g_{\omega^{\omega^2}}(10)\)
Googolbunch E101 10101 f2(327) \(H_{\omega^2}(327)\) \(g_{\omega^{\omega^2+1}}(10)\)
Vigesimal-ogol 20^80 ~1.208926*10104 f2(337) \(H_{\omega^2}(337)\) \(g_{\omega^{\omega^2+4}}(10)\)
Googolcrowd E105 10105 f2(340) \(H_{\omega^2}(340)\) \(g_{\omega^{\omega^2+5}}(10)\)
Duodecimal-googol 12^100 ~8.281797*10107 f2(350) \(H_{\omega^2}(350)\) \(g_{\omega^{\omega^2+7}\times8}(10)\)
Googolswarm E110 10110 f2(357) \(H_{\omega^2}(357)\) \(g_{\omega^{\omega^2+\omega}}(10)\)
Hexadecimal-googol 16^100 ~2.582250*10120 f2(391) \(H_{\omega^2}(391)\) \(g_{\omega^{\omega^2+\omega\times2}\times3}(10)\)
Vigesimal-googol 20^100 ~1.267651*10130 f2(423) \(H_{\omega^2}(423)\) \(g_{\omega^{\omega^2+\omega\times3}}(10)\)
Sexagesimal-ogol 60^80 ~1.786899*10142 f2(464) \(H_{\omega^2}(464)\) \(g_{\omega^{\omega^2+\omega\times4+2}\times2}(10)\)
Binary-googolding, Binary-gogolchime 2^500 ~3.273391*10150 f2(491) \(H_{\omega^2}(491)\) \(g_{\omega^{\omega^2+\omega\times5}\times3}(10)\)
Sexagesimal-googol 60^100 ~6.533186*10177 f2(581) \(H_{\omega^2}(581)\) \(g_{\omega^{\omega^2+\omega\times7+7}\times6}(10)\)
Octal-guppychime 8^200=2^600 ~4.149516*10180 f2(591) \(H_{\omega^2}(591)\) \(g_{\omega^{\omega^2+\omega\times8}\times4}(10)\)
Guppychime E200 10200 f2(655) \(H_{\omega^2}(655)\) \(g_{\omega^{\omega^2\times2}}(10)\)
Octal-gogolding 8^250=2^750 ~5.922387*10225 f2(740) \(H_{\omega^2}(740)\) \(g_{\omega^{\omega^2\times2+\omega\times2+5}\times6}(10)\)
Gogolding E250 10250 f2(821) \(H_{\omega^2}(821)\) \(g_{\omega^{\omega^2\times2+\omega\times5}}(10)\)
Ecetonspeck E293 10293 f2(963) \(H_{\omega^2}(963)\) \(g_{\omega^{\omega^2\times2+\omega\times9+3}}(10)\)
Ecetoncrumb E298 10298 f2(980) \(H_{\omega^2}(980)\) \(g_{\omega^{\omega^2\times2+\omega\times9+8}}(10)\)
Binary-googolchime 2^1000 ~1.071509*10301 f2(990) \(H_{\omega^2}(990)\) \(g_{\omega^{\omega^2\times3+1}}(10)\)
Ecetonchunk E302 10302 f2(993) \(H_{\omega^2}(993)\) \(g_{\omega^{\omega^2\times3+2}}(10)\)
Ecetonbunch E304 10304 f2(1000) \(H_{\omega^2}(1000)\) \(g_{\omega^{\omega^2\times3+4}}(10)\)
Ecetoncrowd E308 10308 f2(1013) \(H_{\omega^2}(1013)\) \(g_{\omega^{\omega^2\times3+8}}(10)\)
Ecetonswarm E313 10313 f2(1030) \(H_{\omega^2}(1030)\) \(g_{\omega^{\omega^2\times3+\omega+3}}(10)\)
Ogolding E400 10400 f2(1318) \(H_{\omega^2}(1318)\) \(g_{\omega^{\omega^2\times4}}(10)\)
Octal-googolding, Octal-gogolchime 8^500=2^1500 ~3.507466*10451 f2(1489) \(H_{\omega^2}(1489)\) \(g_{\omega^{\omega^2\times4+\omega\times5+1}\times4}(10)\)
Gogolchime, Googolding E500 10500 f2(1650) \(H_{\omega^2}(1650)\) \(g_{\omega^{\omega^2\times5}}(10)\)
Ogolchime E800 10800 f222(8) \(H_{\omega^2\times2}(8)\) \(g_{\omega^{\omega^2\times8}}(10)\)
Octal-googolchime 8^1000=2^3000 ~1.230232*10963 f222(8) \(H_{\omega^2\times2}(8)\) \(g_{\omega^{\omega^2\times9+\omega\times6+3}}(10)\)
Googolchime, Guppybell E1000 101000 f222(8) \(H_{\omega^2\times2}(8)\) \(g_{\omega^{\omega^3}}(10)\)
Ecetonding E1515 101515 f222(9) \(H_{\omega^2\times2}(9)\) \(g_{\omega^{\omega^3+\omega^2\times5+\omega+5}}(10)\)
Guppytoll E2000 102000 f222(9) \(H_{\omega^2\times2}(9)\) \(g_{\omega^{\omega^3\times2}}(10)\)
Gogolbell E2500 102500 f222(9) \(H_{\omega^2\times2}(9)\) \(g_{\omega^{\omega^3\times2+\omega^2\times5}}(10)\)
Ecetonchime E3030 103030 f222(9) \(H_{\omega^2\times2}(9)\) \(g_{\omega^{\omega^3\times3+\omega\times3}}(10)\)
Ogolbell E4000 104000 f222(10) \(H_{\omega^2\times2}(10)\) \(g_{\omega^{\omega^3\times4}}(19)\)
Googolbell, Gogoltoll E5000 105000 f222(10) \(H_{\omega^2\times2}(10)\) \(g_{\omega^{\omega^3\times5}}(10)\)
Ogoltoll E8000 108000 f222(11) \(H_{\omega^2\times2}(11)\) \(g_{\omega^{\omega^3\times8}}(10)\)
Googoltoll E10,000 1010,000 f222(11) \(H_{\omega^2\times2}(11)\) \(g_{\omega^{\omega^4}}(10)\)
Ecetonbell E15,150 1015,150 f222(12) \(H_{\omega^2\times2}(12)\) \(g_{\omega^{\omega^4+\omega^3\times5+\omega^2+\omega+5}}(10)\)
Guppygong E20,000 1020,000 f222(12) \(H_{\omega^2\times2}(12)\) \(g_{\omega^{\omega^4\times2}}(10)\)
Ecetontoll E30,300 1030,300 f222(12) \(H_{\omega^2\times2}(12)\) \(g_{\omega^{\omega^4\times3+\omega^2\times3}}(10)\)
Gogolgong E50,000 1050,000 f222(13) \(H_{\omega^2\times2}(13)\) \(g_{\omega^{\omega^4\times5}}(10)\)
Ogolgong E80,000 1080,000 f222(14) \(H_{\omega^2\times2}(14)\) \(g_{\omega^{\omega^4\times8}}(10)\)
Googolgong E100,000 10100,000 f222(14) \(H_{\omega^2\times2}(14)\) \(g_{\omega^{\omega^5}}(10)\)
Ecetongong E303,000 10303,000 f222(15) \(H_{\omega^2\times2}(15)\) \(g_{\omega^{\omega^5\times3+\omega^3\times3}}(10)\)
Milliplexion E6#2 10106 f222(17) \(H_{\omega^2\times2}(17)\) \(g_{\omega^{\omega^6}}(10)\)
Guppybong E20,000,000 102*107 f222(21) \(H_{\omega^2\times2}(21)\) \(g_{\omega^{\omega^7\times2}}(10)\)
Gogolbong E50,000,000 105*107 f222(22) \(H_{\omega^2\times2}(22)\) \(g_{\omega^{\omega^7\times5}}(10)\)
Ogolbong E80,000,000 108*107 f222(23) \(H_{\omega^2\times2}(23)\) \(g_{\omega^{\omega^7\times8}}(10)\)
Googolbong E100,000,000 10108 f222(23) \(H_{\omega^2\times2}(23)\) \(g_{\omega^{\omega^8}}(10)\)
Ecetonbong E303,000,000 103.03*108 f222(25) \(H_{\omega^2\times2}(25)\) \(g_{\omega^{\omega^8\times3+\omega^6\times3}}(10)\)
Billiplexion E9#2 10109 f222(26) \(H_{\omega^2\times2}(26)\) \(g_{\omega^{\omega^9}}(10)\)
Trialogue E1#3 101010 f222(30) \(H_{\omega^2\times2}(30)\) \(g_{\omega^{\omega^\omega}}(10)\)
Guppythrong E20,000,000,000 102*1010 \(g_{\omega^{\omega^\omega\times2}}(10)\)
Gogolthrong E50,000,000,000 105*1010 \(g_{\omega^{\omega^\omega\times5}}(10)\)
Oogolthrong E80,000,000,000 108*1010 \(g_{\omega^{\omega^\omega\times8}}(10)\)
Googolthrong E100,000,000,000 101011 \(g_{\omega^{\omega^{\omega+1}}}(10)\)
Ecetonthrong E303,000,000,000 103.03*1011 \(g_{\omega^{\omega^{\omega+1}\times3+\omega^9\times3}}(10)\)
Trilliplexion E12#2 101012 \(g_{\omega^{\omega^{\omega+2}}}(10)\)
Guppygandingan E20,000,000,000,000 102*1013 \(g_{\omega^{\omega^{\omega+3}\times2}}(10)\)
Gogolgandingan E50,000,000,000,000 105*1010 \(g_{\omega^{\omega^{\omega+3}\times5}}(10)\)
Ogolgandingan E80,000,000,000,000 108*1010 \(g_{\omega^{\omega^{\omega+3}\times8}}(10)\)
Googolgandingan,Googolquadrigong E100,000,000,000,000 101014 \(g_{\omega^{\omega^{\omega+4}}}(10)\)
Ecetongandingan E303,000,000,000,000 103.03*1014 \(g_{\omega^{\omega^{\omega+4}\times3+\omega^{\omega+2}\times3}}(10)\)
Googolquintigong EE17 101017 \(g_{\omega^{\omega^{\omega+7}}}(10)\)
Googolsextigong, Guppyplex EE20 101020 \(g_{\omega^{\omega^{\omega\times2}}}(10)\)
Googolseptigong EE23 101023 \(g_{\omega^{\omega^{\omega\times2+3}}}(10)\)
Googoloctigong EE26 101026 \(g_{\omega^{\omega^{\omega\times2+6}}}(10)\)
Googolnonigong EE29 101029 \(g_{\omega^{\omega^{\omega\times2+9}}}(10)\)
Googolplexibit E(2)100#2 ≈ 103.816009*1029
Googoldecigong EE32 101032 \(g_{\omega^{\omega^{\omega\times3+2}}}(10)\)
Googol-undecigong EE35 101035 \(g_{\omega^{\omega^{\omega\times3+5}}}(10)\)
Googol-duodecigong EE38 101038 \(g_{\omega^{\omega^{\omega\times3+8}}}(10)\)
Googol-tredecigong EE41 101041 \(g_{\omega^{\omega^{\omega\times4+1}}}(10)\)
Googol-quattuordecigong EE44 101044 \(g_{\omega^{\omega^{\omega\times4+4}}}(10)\)
Googol-quindecigong EE47 101047 \(g_{\omega^{\omega^{\omega\times4+7}}}(10)\)
Googol-sexdecigong, Gogolduplex EE50 101050 \(g_{\omega^{\omega^{\omega\times5}}}(10)\)
Googol-septendecigong EE53 101053 \(g_{\omega^{\omega^{\omega\times5+3}}}(10)\)
Googol-octodecigong EE56 101056 \(g_{\omega^{\omega^{\omega\times5+6}}}(10)\)
Googol-novemdecigong EE59 101059 \(g_{\omega^{\omega^{\omega\times5+9}}}(10)\)
Googolvigintigong EE62 101062 \(g_{\omega^{\omega^{\omega\times6+2}}}(10)\)
Googoltrigintigong EE92 101092 \(g_{\omega^{\omega^{\omega\times9+2}}}(10)\)
Googolquadragintigong EE122 1010122 \(g_{\omega^{\omega^{\omega^2+\omega\times2+2}}}(10)\)
Googolquinquagintigong EE152 1010152 \(g_{\omega^{\omega^{\omega^2+\omega\times5+2}}}(10)\)
Googolsexagintigong EE182 1010182 \(g_{\omega^{\omega^{\omega^2+\omega\times8+2}}}(10)\)
Googolseptuagintigong EE212 1010212 \(g_{\omega^{\omega^{\omega^2\times2+\omega+2}}}(10)\)
Googoloctogintigong EE242 1010242 \(g_{\omega^{\omega^{\omega^2\times2+\omega\times4+2}}}(10)\)
Googolnonigintigong EE272 1010272 \(g_{\omega^{\omega^{\omega^2\times2+\omega\times7+2}}}(10)\)
Googolcentigong EE302 1010302 \(g_{\omega^{\omega^{\omega^2\times3+2}}}(10)\)
Googolmilligong EE3002 10103002 \(g_{\omega^{\omega^{\omega^3\times3+2}}}(10)\)
Milliduplexion E6#3 10101,000,000 \(g_{\omega^{\omega^{\omega^6}}}(10)\)
Googolmilli-milligong EE3,000,002 10103,000,002 \(g_{\omega^{\omega^{\omega^6\times3+2}}}(10)\)
Billiduplexion E9#3 1010109 \(g_{\omega^{\omega^{\omega^9}}}(10)\)
Tetralogue E1#4 10101010 \(g_{\omega^{\omega^{\omega^\omega}}}(10)\)
Trilliduplexion E12#3 10101012 \(g_{\omega^{\omega^{\omega^{\omega+2}}}}(10)\)
Guppyduplex EEE20 10101020 \(g_{\omega^{\omega^{\omega^{\omega\times2}}}}(10)\)
Googolduplexibit E(2)100#3 ≈ 10103.816009*1029 \(g_{\omega^{\omega^{\omega^{\omega\times3}}}}(10)\)
Gogolduplex E50#3 10101050 \(g_{\omega^{\omega^{\omega^{\omega\times5}}}}(10)\)
Millitriplexion E6#4 101010106 \(g_{\omega^{\omega^{\omega^{\omega^6}}}}(10)\)
Billitriplexion E9#4 101010109 \(g_{\omega^{\omega^{\omega^{\omega^9}}}}(10)\)
Pentalogue E1#5 1010101010 \(g_{\omega^{\omega^{\omega^{\omega^\omega}}}}(10)\)
Trillitriplexion E12#4 1010101012 \(g_{\omega^{\omega^{\omega^{\omega^{\omega+2}}}}}(10)\)
Guppytriplex EEEE20 1010101020 \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}(10)\)
Googoltriplexibit E(2)100#4 ≈ 1010103.816009*1029 \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}(10)\)
Gogoltriplex E50#4 1010101050 \(g_{\omega^{\omega^{\omega^{\omega^{\omega\times5}}}}}(10)\)
Hexalogue E1#6 101010101010 \(g_{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}(10)\)
Guppyquadriplex EEEEE20 101010101020 \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times2}}}}}}(10)\)
Googolquadriplexibit E(2)100#5 ≈ 101010103.816009*1029 \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega\times3}}}}}}(10)\)
Heptalogue E1#7 10↑↑7 \(g_{\omega^{\omega^{\omega^{\omega^{\omega^{\omega^\omega}}}}}}(10)\)
Guppyquintiplex EEEEEE20 \(g_{\omega\uparrow\uparrow7}(10)\)
Googolquintiplexibit E(2)100#6
Octalogue E1#8 10↑↑8
Guppysextiplex E20#7 \(g_{\omega\uparrow\uparrow8}(10)\)
Googolsextiplexibit E(2)100#7
Ennalogue E1#9 10↑↑9
Guppyseptiplex E20#8 \(g_{\omega\uparrow\uparrow9}(10)\)
Googolseptiplexibit E(2)100#8
Dekalogue E1#10 10↑↑10
Guppyoctiplex E20#9 \(g_{\varepsilon_0}(10)\)
Googoloctiplexibit E(2)100#9
Endekalogue E1#11 10↑↑11
Guppynoniplex E20#10 \(g_{\varepsilon_0^{\varepsilon_0}}(10)\)
Googolnoniplexibit E(2)100#10
Dodekalogue E1#12 10↑↑12
Guppydeciplex E20#11 \(g_{\varepsilon_0\uparrow\uparrow3}(10)\)
Googoldeciplexibit E(2)100#11
Triadekalogue E1#13 10↑↑13
Tetradekalogue E1#14 10↑↑14
Pentadekalogue E1#15 10↑↑15
Hexadekalogue E1#16 10↑↑16
Heptadekalogue E1#17 10↑↑17
Octadekalogue E1#18 10↑↑18
Ennadekalogue E1#19 10↑↑19
Icosalogue E1#20 10↑↑20
Guppyvigintiplex E20#21 \(g_{\varepsilon_1\uparrow\uparrow3}(10)\)
Googolvigintiplexibit E(2)100#21
Triantalogue E1#30 10↑↑30
Guppytrigintiplex E20#31 \(g_{\varepsilon_2\uparrow\uparrow3}(10)\)
Googolrtigintiplexibit E(2)100#31
Terantalogue E1#40 10↑↑40
Guppyquadragintiplex E20#41 \(g_{\varepsilon_3\uparrow\uparrow3}(10)\)
Googolquadragintiplexibit E(2)100#41
Penantalogue E1#50 10↑↑50
Guppyquinquagintiplex E20#51 \(g_{\varepsilon_4\uparrow\uparrow3}(10)\)
Googolquinquagintiplexibit E(2)100#51
Exatalogue E1#60 10↑↑60
Guppysexagintiplex E20#61 \(g_{\varepsilon_5\uparrow\uparrow3}(10)\)
Googolsexagintiplexibit E(2)100#61
Eptatalogue E1#70 10↑↑70
Guppyseptuagintiplex E20#71 \(g_{\varepsilon_6\uparrow\uparrow3}(10)\)
Googolseptuagintiplexibit E(2)100#71
Ogdatalogue E1#80 10↑↑80
Guppyoctogintiplex E20#81 \(g_{\varepsilon_7\uparrow\uparrow3}(10)\)
Googoloctogintiplexibit E(2)100#81
Entataogue E1#90 10↑↑90
Guppynovagintiplex E20#91 \(g_{\varepsilon_8\uparrow\uparrow3}(10)\)
Googolnovagintiplexibit E(2)100#91
Hectalogue E1#100 10↑↑100
Guppycentiplex E20#101 \(g_{\varepsilon_9\uparrow\uparrow3}(10)\)
Googolcentiplexibit E(2)100#101
Chilialogue E1#1000 10↑↑1000
Guppymilliplex E20#1001 \(g_{\varepsilon_{\omega^2}\uparrow\uparrow3}(10)\)
Googolmilliplexibit E(2)100#1001
Myrialogue E1#10,000 10↑↑10,000
Chilia-chilialogue E1#1,000,000 10↑↑106
Guppymilli-milliplex E20#1,000,001 \(g_{\varepsilon_{\omega^5}\uparrow\uparrow3}(10)\)
Googolmilli-milliiplexibit E(2)100#1,000,001
Chilia-myrialogue E1#10,000,000 10↑↑107
Myria-myrialogue, Octadalogue E1#100,000,000 10↑↑108
Sedeniadalogue E1#10,000,000,000,000,000 10↑↑1016

SourcesEdit

  1. Sbiis Saibian, Hyper-E Numbers - Large Numbers
Saibian's regiments

Hyper-E Regiments: Guppy regiment · Grangol regiment · Greagol regiment · Gigangol regiment · Gorgegol regiment · Gulgol regiment · Gaspgol regiment · Ginorgol regiment · Gargantuul regiment · Googondol regiment
Extended Hyper-E Regiments: Gugold regiment · Graatagold regiment · Greegold regiment · Grinningold regiment · Golaagold regiment · Gruelohgold regiment · Gaspgold regiment · Ginorgold regiment · Gargantuuld regiment · Googondold regiment · Gugolthra regiment · Throogol regiment · Tetroogol regiment · Pentoogol regiment · Hexoogol regiment · Heptoogol regiment · Ogdoogol regiment · Entoogol regiment · Dektoogol regiment
Cascading-E Regiments: Godgahlah regiment · Gridgahlah regiment · Kubikahlah regiment · Quarticahlah regiment · Quinticahlah regiment · Sexticahlah regiment · Septicahlah regiment · Octicahlah regiment · Nonicahlah regiment · Decicahlah regiment · Godgathor regiment · Gralgathor regiment · Thraelgathor regiment · Terinngathor regiment · Pentaelgathor regiment · Hexaelgathor regiment · Heptaelgathor regiment · Octaelgathor regiment · Ennaelgathor regiment · Dekaelgathor regiment · Godtothol regiment · Godtertol regiment · Godtopol regiment · Godhathor regiment · Godheptol regiment · Godoctol regiment · Godentol regiment · Goddekathol regiment
Extended Cascading-E Regiments: Tethrathoth regiment · Monster-Giant Regiment · Tethriterator regiment · Tethracross regiment · Tethracubor regiment · Tethrateron regiment · Tethrapeton regiment · Tethrahexon regiment · Tethrahepton regiment · Tethra-ogdon regiment · Tethraennon Regiment · Tethradekon regiment · Tethratope regiment · Pentacthulhum regiment · Pentacthulcross regiment · Pentacthulcubor regiment · Pentaccthulteron regiment · Pentacthulpeton regiment · Pentacthulhexon regiment · Pentacthulhepton regiment · Pentacthul-ogdon regiment · Pentacthulennon regiment · Pentacthuldekon regiment · Pentacthultope regiment · Hexacthulhum super regiment · Heptathulhum super regiment · Ogdacthulhum super regiment · Ennacthulhum super regiment · Dekacthulhum super regiment

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