- "Kilillion" redirects here. It is not to be confused with killillion.
A novenonagintanongentillion is equal to \(10^{3000}\) in the short scale and \(10^{5994}\) in the long scale by the Conway and Guy's naming system[1][2][3][4][5] as it is the 999th -illion number.
In the long scale, \(10^{3000}\) is called quingentillion.[6]
Aarex Tiaokhiao gave the name mlastillion, referring to the value of this number.[7]
103000 is also called googood, nongentinonagentanonillion, novemnonagintanongentillion, undemillillion, and novemnonagintinongentillion.[8][9]
It can be named "fzthousand" using the fz- prefix.[10][11][12]
This number is also called kilillion in Russ Rowlett's Greek-based naming system of zillions.[13]
Wikia user NumLynx gave the name millisand for this number's short scale value.[14]
Wikia user BlankEntity gave the name Cerillion for this number's short scale value.[15]
CompactStar gave the name emptoldeka for this number, and it's equal to 1000[] in Ampersand Notation.[16]
Decimal expansion[]
Its full decimal expansion is:
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations[]
For the short scale:
| Notation | Lower bound | Upper bound | |
|---|---|---|---|
| Scientific notation | \(1\times10^{3000}\) (exact) | ||
| Arrow notation | \(10\uparrow 3000\) (exact) | ||
| Steinhaus-Moser Notation | 1000[3] (exact) | ||
| Chained arrow notation | \(10\rightarrow 3000\) (exact) | ||
| Taro's multivariable Ackermann function | A(3,9962) | A(3,9963) | |
| BEAF & Bird's array notation | {10,3000} (exact) | ||
| Hyper-E notation | E3000 (exact) | ||
| s(n) map | \(s(1)^3(\lambda x.x+1)(9)\) | \(s(1)^3(\lambda x.x+1)(10)\) | |
| m(n) map | m(1)(1000) | m(1)(1001) | |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] | |
| Copy notation | 9[3000] | 1[3001] | |
| Pound-Star Notation | #*((2388))*30 | #*((2389))*30 | |
| Strong array notation | s(10,3000) | ||
| Fast-growing hierarchy | \(f_2(9952)\) | \(f_2(9953)\) | |
| Hardy hierarchy | \(H_{\omega^2}(9952)\) | \(H_{\omega^2}(9953)\) | |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3 3}}(10)\) (exact) | ||
For the long scale:
| Notation | Lower bound | Upper bound |
|---|---|---|
| Scientific notation | \(1\times10^{5994}\) (exact) | |
| Arrow notation | \(10\uparrow 5994\) (exact) | |
| Steinhaus-Moser Notation | 1836[3] | 1837[3] |
| Chained arrow notation | \(10\rightarrow 5994\) (exact) | |
| Taro's multivariable Ackermann function | A(3,19908) | A(3,19909) |
| BEAF & Bird's array notation | {10,5994} (exact) | |
| Hyper-E notation | E5994 (exact) | |
| s(n) map | \(s(1)^3(\lambda x.x+1)(10)\) | \(s(1)^3(\lambda x.x+1)(11)\) |
| m(n) map | m(1)(1836) | m(1)(1837) |
| Bashicu matrix system | (0)(1)[3] | (0)(1)[4] |
| Copy notation | 9[5994] | 1[5995] |
| Pound-Star Notation | #*((1053))*41 | #*((1054))*41 |
| Strong array notation | s(10,5994) | |
| Fast-growing hierarchy | \(f_2(19897)\) | \(f_2(19898)\) |
| Hardy hierarchy | \(H_{\omega^2}(19897)\) | \(H_{\omega^2}(19898)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^3 5+\omega^2 9+\omega 9+4}}(10)\) (exact) | |
Sources[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Munafo, Robert. The Conway-Wechsler System. Retrieved 2023-10-05.
- ↑ Olsen, Steve. Big-Ass Numbers. Retrieved 2023-10-05.
- ↑ Fish. Conway's zillion numbers. Retrieved 2023-10-05.
- ↑ Fish. Conway's illion converter - 10^3000. Retrieved 2023-10-05.
- ↑ Fish. Conway's illion converter - 10^3000 (long scale). Retrieved 2023-10-05.
- ↑ Aarex Tiaokhiao's illion numbers[dead link]
- ↑ [1]
- ↑ [2]
- ↑ Cockburn, Alistair. A fuga really big numbers (archived 2016-04-11).
- ↑ Saibian, Sbiis. The Fz, The Fuga & The Megafuga. Retrieved 2021-07-22.
- ↑ Cookiefonster. 2.5A. Googological prefixes and suffixes - Pointless Large Number Stuff. Retrieved 2021-07-22.
- ↑ Russ Rowlett's Greek Based -illions
- ↑ NumLynx's Large Numbers
- ↑ BlankEntity. BlankEntity's Googology - Class 1 and Higher. Retrieved 2022-06-10.
- ↑ CompactStar. Ampersand Notation numbers. Retrieved Jul 23, 2022.
See also[]
Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct
Main article: -illion
900–909: nongentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)910–919: decinongentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
920–929: vigintinongentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septem- · octo- · novem-)
930–939: trigintanongentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
940–949: quadragintanongentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
950–959: quinquagintanongentillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
960–969: sexagintanongentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
970–979: septuagintanongentillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
980–989: octogintanongentillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
990–999: nonagintanongentillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
Numbers by André Joyce
Repunits: twenty-twos · thirty-threes · forty-fours · fifty-fives · sixty-sixes · seventy-sevens · eighty-eights
Googo- series: googoli · googolex · googoc · googoci · googocci · googoccic · googoxem · googolmox · googomump ·
Googoo- series: googool · googoodix
Googgoo- series: googgol · googgool · geegeel · geeggeel · geiggeil · geiggeim
Googolplux series: googolplux · googolpluc · googolplum
Bowers' numbers attempts: Joycian gaggol · Joycian gygol · Joycian gagol · Joyce's tetratri · Joyce's pentatri · Joycian grand tridecal · Joycian dimentri · Joycian dulatri · Joycian trimentri · Joycian decaltrix
Archive André Joyce archive
Gar-: garone · gartwo · garthree · garfour · garfive · garsix · garseven · gareight · garnine · garten · garhundred · garmillion · gargoogol · gareceton · gartrialogue · gargoogolplex · gargiggol
Fz-: fzone · fztwo · fzthree · fzfour · fzfive · fzsix · fzseven · fzeight · fznine · fzten · fztwenty · fzhundred · fzthousand · fzmillion · fzgoogol · fzmilliplexion · fzgoogolplex · fzgargoogolplex · fzgargantugoogolplex · fzgiggol
Fuga-: fugaone · fugatwo · fugathree · fugafour · fugafive · fugasix · fugaseven · fugaeight · fuganine · fugaten · fugahundred · fugagoogol · fugagoogolplex · fugagargoogolplex · fugagargantugoogolplex · fugagiggol
Megafuga-: megafugaone · megafugatwo · megafugathree · megafugafour · megafugafive · megafugasix · megafugaseven · megafugaeight · megafuganine · megafugaten · megafugahundred · megafugagoogol · megafugagoogolplex · megafugagargoogolplex · megafugagargantugoogolplex · megafugagrangol
Extensions:
Booga-:: boogaone · boogatwo · boogathree · boogafour · boogafive · boogasix · boogaten · boogahundred · boogagoogol · boogagoogolplex
Gag-:: gagone · gagtwo · gagthree · gagfour · gagfive · gagsix · gagseven · gageight · gagnine · gagten · gaggoogol · gaggoogolplex
Ampersand Notation numbers
Basic Ampersand Notation
Emptol group:
Unol group:
Duol group:
Triol group:
Quadrol group:
Quintol group:
Sextol group:
Septol group:
Octol group:
Nonol group:
Decol group:
emptoltetarto · emptolmiso · emptol · emptoldyo · emptoltria · emptoltessera · emptolpente · emptolexi · emptoldeka · emptolpeninta · emptolekato · superior-emptoltetarto · superior-emptolmiso · superior-emptol · superior-emptoldyo · superior-emptoltria · superior-emptoltessera · superior-emptolpente · superior-emptolexi · superior-emptoldeka · superior-emptolpeninta · superior-emptolekato · bisuperior-emptol · bisuperior-emptoldyo · bisuperior-emptolpente · bisuperior-emptoldeka · bisuperior-emptolekato · trisuperior-emptol · quadrisuperior-emptol · quintisuperior-emptol · sextisuperior-emptol · septisuperior-emptol · octisuperior-emptol
Unol group:
unoltetarto · unolmiso · unol · unoldyo · unoltria · unoltessera · unolpente · unolexi · unoldeka · unolpeninta · unolekato · superior-unoltetarto · superior-unolmiso · superior-unol · superior-unoldyo · superior-unoltria · superior-unoltessera · superior-unolpente · superior-unolexi · superior-unoldeka · superior-unolpeninta · superior-unolekato · bisuperior-unol · bisuperior-unoldyo · bisuperior-unolpente · bisuperior-unoldeka · bisuperior-unolekato · trisuperior-unol · quadrisuperior-unol · quintisuperior-unol · sextisuperior-unol · septisuperior-unol · octisuperior-unol
Duol group:
duoltetarto · duolmiso · duol · duoldyo · duoltria · duoltessera · duolpente · duolexi · duoldeka · duolpeninta · duolekato · superior-duoltetarto · superior-duolmiso · superior-duol · superior-duoldyo · superior-duoltria · superior-duoltessera · superior-duolpente · superior-duolexi · superior-duoldeka · superior-duolpeninta · superior-duolekato · bisuperior-duol · bisuperior-duoldyo · bisuperior-duolpente · bisuperior-duoldeka · bisuperior-duolekato · trisuperior-duol · quadrisuperior-duol · quintisuperior-duol · sextisuperior-duol · septisuperior-duol · octisuperior-duol
Triol group:
trioltetarto · triolmiso · triol · trioldyo · trioltria · trioltessera · triolpente · triolexi · trioldeka · triolpeninta · triolekato · superior-trioltetarto · superior-triolmiso · superior-triol · superior-trioldyo · superior-trioltria · superior-trioltessera · superior-triolpente · superior-triolexi · superior-trioldeka · superior-triolpeninta · superior-triolekato · bisuperior-triol · bisuperior-trioldyo · bisuperior-triolpente · bisuperior-trioldeka · bisuperior-triolekato · trisuperior-triol · quadrisuperior-triol · quintisuperior-triol · sextisuperior-triol · septisuperior-triol · octisuperior-triol
Quadrol group:
quadroltetarto · quadrolmiso · quadrol · quadroldyo · quadroltria · quadroltessera · quadrolpente · quadrolexi · quadroldeka · quadrolpeninta · quadrolekato · superior-quadroltetarto · superior-quadrolmiso · superior-quadrol · superior-quadroldyo · superior-quadroltria · superior-quadroltessera · superior-quadrolpente · superior-quadrolexi · superior-quadroldeka · superior-quadrolpeninta · superior-quadrolekato · bisuperior-quadrol · bisuperior-quadroldyo · bisuperior-quadrolpente · bisuperior-quadroldeka · bisuperior-quadrolekato · trisuperior-quadrol · quadrisuperior-quadrol · quintisuperior-quadrol · sextisuperior-quadrol · septisuperior-quadrol · octisuperior-quadrol
Quintol group:
quintoltetarto · quintolmiso · quintol · quintoldyo · quintoltria · quintoltessera · quintolpente · quintolexi · quintoldeka · quintolpeninta · quintolekato · superior-quintoltetarto · superior-quintolmiso · superior-quintol · superior-quintoldyo · superior-quintoltria · superior-quintoltessera · superior-quintolpente · superior-quintolexi · superior-quintoldeka · superior-quintolpeninta · superior-quintolekato · bisuperior-quintol · bisuperior-quintoldyo · bisuperior-quintolpente · bisuperior-quintoldeka · bisuperior-quintolekato · trisuperior-quintol · quadrisuperior-quintol · quintisuperior-quintol · sextisuperior-quintol · septisuperior-quintol · octisuperior-quintol
Sextol group:
sextoltetarto · sextolmiso · sextol · sextoldyo · sextoltria · sextoltessera · sextolpente · sextolexi · sextoldeka · sextolpeninta · sextolekato · superior-sextoltetarto · superior-sextolmiso · superior-sextol · superior-sextoldyo · superior-sextoltria · superior-sextoltessera · superior-sextolpente · superior-sextolexi · superior-sextoldeka · superior-sextolpeninta · superior-sextolekato · bisuperior-sextol · bisuperior-sextoldyo · bisuperior-sextolpente · bisuperior-sextoldeka · bisuperior-sextolekato · trisuperior-sextol · quadrisuperior-sextol · quintisuperior-sextol · sextisuperior-sextol · septisuperior-sextol · octisuperior-sextol
Septol group:
septoltetarto · septolmiso · septol · septoldyo · septoltria · septoltessera · septolpente · septolexi · septoldeka · septolpeninta · septolekato · superior-septoltetarto · superior-septolmiso · superior-septol · superior-septoldyo · superior-septoltria · superior-septoltessera · superior-septolpente · superior-septolexi · superior-septoldeka · superior-septolpeninta · superior-septolekato · bisuperior-septol · bisuperior-septoldyo · bisuperior-septolpente · bisuperior-septoldeka · bisuperior-septolekato · trisuperior-septol · quadrisuperior-septol · quintisuperior-septol · sextisuperior-septol · septisuperior-septol · octisuperior-septol
Octol group:
octoltetarto · octolmiso · octol · octoldyo · octoltria · octoltessera · octolpente · octolexi · octoldeka · octolpeninta · octolekato · superior-octoltetarto · superior-octolmiso · superior-octol · superior-octoldyo · superior-octoltria · superior-octoltessera · superior-octolpente · superior-octolexi · superior-octoldeka · superior-octolpeninta · superior-octolekato · bisuperior-octol · bisuperior-octoldyo · bisuperior-octolpente · bisuperior-octoldeka · bisuperior-octolekato · trisuperior-octol · quadrisuperior-octol · quintisuperior-octol · sextisuperior-octol · septisuperior-octol · octisuperior-octol
Nonol group:
nonoltetarto · nonolmiso · nonol · nonoldyo · nonoltria · nonoltessera · nonolpente · nonolexi · nonoldeka · nonolpeninta · nonolekato · superior-nonoltetarto · superior-nonolmiso · superior-nonol · superior-nonoldyo · superior-nonoltria · superior-nonoltessera · superior-nonolpente · superior-nonolexi · superior-nonoldeka · superior-nonolpeninta · superior-nonolekato · bisuperior-nonol · bisuperior-nonoldyo · bisuperior-nonolpente · bisuperior-nonoldeka · bisuperior-nonolekato · trisuperior-nonol · quadrisuperior-nonol · quintisuperior-nonol · sextisuperior-nonol · septisuperior-nonol · octisuperior-nonol
Decol group:
decoltetarto · decolmiso · decol · decoldyo · decoltria · decoltessera · decolpente · decolexi · decoldeka · decolpeninta · decolekato · superior-decoltetarto · superior-decolmiso · superior-decol · superior-decoldyo · superior-decoltria · superior-decoltessera · superior-decolpente · superior-decolexi · superior-decoldeka · superior-decolpeninta · superior-decolekato · bisuperior-decol · bisuperior-decoldyo · bisuperior-decolpente · bisuperior-decoldeka · bisuperior-decolekato · trisuperior-decol · quadrisuperior-decol · quintisuperior-decol · sextisuperior-decol · septisuperior-decol · octisuperior-decol