The pentacontillion is equal to 103x10150+3, or 103 novemquadragintillion 3.[1] The term was coined by Jonathan Bowers.
Written out in decimal form pentacontillion (in the short scale) is:
In long scale:
Etymology
The name of this number is based on the suffix "-illion" and the prefix "pentaconta-" (from Greek 50).
Approximations
| Notation | Lower bound | Upper bound |
|---|---|---|
| Arrow notation | \(1000\uparrow(1+10\uparrow150)\) | |
| Down-arrow notation | \(1000\downarrow\downarrow51\) | \(22\downarrow\downarrow113\) |
| Steinhaus-Moser Notation | 78[3][3] | 79[3][3] |
| Copy notation | 2[2[151]] | 3[3[151]] |
| H* function | H(H(49)) | |
| Taro's multivariable Ackermann function | A(3,A(3,498)) | A(3,A(3,499)) |
| Pound-Star Notation | #*((1))*(4,1,6,8,2,4)*8 | #*((1))*(5,0,6,5,0,1)*9 |
| BEAF | {1000,1+{10,150}} | |
| Hyper-E notation | E(3+3E150) | |
| Bashicu matrix system | (0)(1)[497] | (0)(1)[498] |
| Hyperfactorial array notation | (95!)! | (96!)! |
| Fast-growing hierarchy | \(f_2(f_2(492))\) | \(f_2(f_2(493))\) |
| Hardy hierarchy | \(H_{\omega^22}(492)\) | \(H_{\omega^22}(493)\) |
| Slow-growing hierarchy | \(g_{\omega^{\omega^{\omega^2+\omega5}3+3}}(10)\) | |
Sources
See also
Tier 1: m · b · tr · quadr · quint · sext · sept · oct · non · dec · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec · vigint · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint · trigint · untrigint · duotrigint · tretrigint · quattuortrigint · quintrigint · sextrigint · septentrigint · octotrigint · novemtrigint · quadragint · quinquagint · sexagint · septuagint · octogint · nonagint · novemnonagint · cent · cenunt · duocent · centret · decicent · quinquaginticent · ducent · trecent · quadringent · quingent · sescent · septingent · octingent · nongent · nonagintinongent · novemnonagintinongent
Tier 2: mill · dumill · tremill · quattuormil · quinmill · sexmill · septenmill · octomill · novemmill · decimill · vigintimill · trigintimill · quadragintimill · quinquagintimill · sexagintimill · septuagintimill · octogontimill · nonagintimill · centimill
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