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Egol is equal to \(\lfloor 10^{99}e \rfloor\), or the first 100 digits of e without the decimal point.[1] Its full decimal expansion is:

2,718,281,828,459,045,235,360,287,471,352,662,497,757,247,093,699,959,574,966,967,627,724,076,630,353,547,594,571,382,178,525,166,427

Its prime factorization is 29 × 61 × 19,593,819,737 × 3,342,441,565,210,469 × 13,932,047,451,386,272,306,472,790,809 × 1,684,103,476,737,232,696,586,957,297,712,240,202,601,879.

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(2.718\times10^{99}\) \(2.719\times10^{99}\)
Arrow notation \(162\uparrow45\) \(107\uparrow49\)
Steinhaus-Moser Notation 56[3] 57[3]
Copy notation 2[100] 3[100]
Taro's multivariable Ackermann function A(3,327) A(3,328)
Pound-Star Notation #*(6,10,7,9,7,5,1)*9 #*(10,9,13,8,1,1)*12
BEAF {162,45} {107,49}
Hyper-E notation 2E99 3E99
Bashicu matrix system (0)(0)(0)(0)(0)[1280] (0)(0)(0)(0)(0)[1281]
Bird's array notation {162,45} {107,49}
Hyperfactorial array notation 69! 70!
Strong array notation s(162,45) s(107,49)
Fast-growing hierarchy \(f_2(321)\) \(f_2(322)\)
Hardy hierarchy \(H_{\omega^2}(321)\) \(H_{\omega^2}(322)\)
Slow-growing hierarchy \(g_{\omega^{53}44}(70)\) \(g_{\omega^{50}6}(94)\)

Sources Edit

  1. A googol is a tiny dot

See also Edit

Numbers from A googol is a tiny dot

Hypermathematics: bigoogol · trigoogol · quadrigoogol · ggoogol · biggoogol · gggoogol · gwgoogol · coogol(plex)
Hyperlicious: wakoogol(plex) · wakamoogol(plex) · wonkapoogol(plex) · ultron
Numbers with a W: woogol · wiggol · waggol · weegol · wigol · woggol · wagol · bwoogol · bwiggol · bwaggol · bweegol · bwigol · bwoggol · bwagol
Primes: Gooprol · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)