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The googolplexibit is equal to 22100 = 2^100#2 ≒ 103.816×1029 using Hyper-E notation.[1] The name was coined by Sbiis Saibian.

Username5243 calls this number Binary-Googolplex, and it's equal to 2[1]2[1]100 in Username5243's Array Notation.[2]

Aarex Tiaokhiao calls this number binary-googolplex.[3]

ApproximationsEdit

Notation Lower bound Upper bound
Arrow notation $$2\uparrow2\uparrow100$$
Down-arrow notation $$2\downarrow\downarrow101$$
Steinhaus-Moser Notation 21[3][3] 22[3][3]
Copy notation 3[3[30]] 4[4[30]]
H* function H(127H(8)) H(128H(8))
Taro's multivariable Ackermann function A(3,A(3,97)) A(3,A(3,98))
Pound-Star Notation #*((1))*(3,0,8)*4 #*((1))*(4,0,8)*4
BEAF {2,{2,100}}
Bashicu matrix system (0)(1)[96] (0)(1)[97]
Hyperfactorial array notation (27!)! (28!)!
Fast-growing hierarchy $$f_2(f_2(93))$$ $$f_2(f_2(94))$$
Hardy hierarchy $$H_{\omega^22}(93)$$ $$H_{\omega^22}(94)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega+8}4}}(16)$$

Sources Edit

1. Saibian, Sbiis. Hyper-E Numbers. Retrieved 2016-07-11.
2. Part 1 - My Large Numbers
3. Part 1 (LAN) - Aarex Googology

-minutia group
n-ary numbers with multipliers
Eyelash mite group: eyelash mite-speck · eyelash mite-crumb · eyelash mite-chunk · (binary/ternary/octal)eyelash mite · eyelash mite-bunch · eyelash mite-crowd · eyelash mite-swarm
Dust mite group: dust mite-speck · dust mite-crumb · dust mite-chunk · (binary/ternary/octal)dust mite · dust mite-bunch · dust mite-crowd · dust mite-swarm
Cheese mite group: cheese mite-speck · cheese mite-crumb · cheese mite-chunk · (binary/ternary/octal)cheese mite · cheese mite-bunch · cheese mite-crowd · cheese mite-swarm
Clover mite group: clover mite-speck · clover mite-crumb · clover mite-chunk · (binary/ternary/octal)clover mite · clover mite-bunch · clover mite-crowd · clover mite-swarm
Pipsqueak group: (binary/ternary/octal)pipsqueak
Little squeaker group: (binary/ternary/octal)little squeaker
Small fry group: (binary/ternary/octal)small fry
Guppy group: (binary/ternary/octal)guppyspeck · (binary/ternary/octal)guppycrumb · (binary/ternary/octal)guppychunk · (ternary/quaternary/quinary/duodecimal/hexadecimal/vigesimal/sexagesimal)guppy(bit/byte)
Minnow group: (binary/ternary/octal)minnowspeck · (binary/ternary/octal)minnowcrumb · (binary/ternary/octal)minnowchunk · (ternary)minnow(bit/byte)
Goby group: (binary/ternary/octal)gobyspeck · (binary/ternary/octal)gobycrumb · (binary/ternary/octal)gobychunk · (ternary)goby(bit/byte)