Octodeciquadringentillion

An octodeciquadringentillion is equal to \(10^{1257}\) in the short scale and \(10^{2508}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 418th -illion number.
In the long scale, \(10^{1257}\) is called novenducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1257}\) (exact) 	\(1\times10^{1257}\) (exact)
Arrow notation 	\(10\uparrow 1257\) (exact) 	\(10\uparrow 1257\) (exact)
Steinhaus-Moser Notation 	470[3] 	471[3]
Chained arrow notation 	\(10\rightarrow 1257\) (exact) 	\(10\rightarrow 1257\) (exact)
Taro's multivariable Ackermann function	A(3,4172) 	A(3,4173)
BEAF & Bird's array notation 	{10,1257} (exact) 	{10,1257} (exact)
Hyper-E notation 	E1257 (exact) 	E1257 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(470) 	m(1)(471)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4163)\) 	\(f_2(4164)\)
Hardy hierarchy 	\(H_{\omega^2}(4163)\) 	\(H_{\omega^2}(4164)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2508}\) (exact) 	\(1\times10^{2508}\) (exact)
Arrow notation 	\(10\uparrow 2508\) (exact) 	\(10\uparrow 2508\) (exact)
Steinhaus-Moser Notation 	855[3] 	856[3]
Chained arrow notation 	\(10\rightarrow 2508\) (exact) 	\(10\rightarrow 2508\) (exact)
Taro's multivariable Ackermann function	A(3,8328) 	A(3,8329)
BEAF & Bird's array notation 	{10,2508} (exact) 	{10,2508} (exact)
Hyper-E notation 	E2508 (exact) 	E2508 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(9)\) 	\(s(1)^3(\lambda x.x+1)(10)\)
m(n) map 	m(1)(855) 	m(1)(856)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8318)\) 	\(f_2(8319)\)
Hardy hierarchy 	\(H_{\omega^2}(8318)\) 	\(H_{\omega^2}(8319)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers