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:
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[]
| 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[]
See also[]
Hypermathematics: bigoogol · trigoogol · quadrigoogol · 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(plex) · Booprol · Trooprol · Quadrooprol
Other: Bentley's Number · Pigol · Egol · Phigol · gongol(plex) · kaboodol(plex) · gaz(illion)