User:Unnamed2019/Octacontillion

The octacontillion is equal to 10^3x10240+3, or 10^{3 novemseptuagintillion 3}. The term was coined by Jonathan Bowers.

Written out in decimal form octacontillion (in the short scale) is:

10^{3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003}

In long scale:

10^{6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}

Etymology

The name of this number is based on the suffix "-illion" and the prefix "octaconta-" (from Greek 80).

Approximations in other notations

Notation	Lower bound	Upper bound
Arrow notation	\(1000\uparrow(1+10\uparrow240)\)
Down-arrow notation	\(1000\downarrow\downarrow81\)	\(64\downarrow\downarrow134\)
Steinhaus-Moser Notation	115[3][3]	116[3][3]
Copy notation	2[2[241]]	3[3[241]]
H* function	H(H(79))
Taro's multivariable Ackermann function	A(3,A(3,797))	A(3,A(3,798))
Pound-Star Notation	#*((1))*((3))*8	#*((1))*((4))*8
BEAF	{1000,1+{10,240}}
Hyper-E notation	E(3+3E240)
Bashicu matrix system	(0)(1)[796]	(0)(1)[797]
Hyperfactorial array notation	(138!)!	(139!)!
Fast-growing hierarchy	\(f_2(f_2(790))\)	\(f_2(f_2(791))\)
Hardy hierarchy	\(H_{\omega^22}(790)\)	\(H_{\omega^22}(791)\)
Slow-growing hierarchy	\(g_{\omega^{\omega^{\omega^22+\omega4}3+3}}(10)\)

See also

Jonathan Bowers' -illions

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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