Octodecioctingentillion

An octodecioctingentillion is equal to \(10^{2457}\) in the short scale and \(10^{4908}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 818th -illion number.
In the long scale, \(10^{2457}\) is called novenquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2457}\) (exact) 	\(1\times10^{2457}\) (exact)
Arrow notation 	\(10\uparrow 2457\) (exact) 	\(10\uparrow 2457\) (exact)
Steinhaus-Moser Notation 	840[3] 	841[3]
Chained arrow notation 	\(10\rightarrow 2457\) (exact) 	\(10\rightarrow 2457\) (exact)
Taro's multivariable Ackermann function	A(3,8158) 	A(3,8159)
BEAF & Bird's array notation 	{10,2457} (exact) 	{10,2457} (exact)
Hyper-E notation 	E2457 (exact) 	E2457 (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)(840) 	m(1)(841)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8148)\) 	\(f_2(8149)\)
Hardy hierarchy 	\(H_{\omega^2}(8148)\) 	\(H_{\omega^2}(8149)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4908}\) (exact) 	\(1\times10^{4908}\) (exact)
Arrow notation 	\(10\uparrow 4908\) (exact) 	\(10\uparrow 4908\) (exact)
Steinhaus-Moser Notation 	1539[3] 	1540[3]
Chained arrow notation 	\(10\rightarrow 4908\) (exact) 	\(10\rightarrow 4908\) (exact)
Taro's multivariable Ackermann function	A(3,16301) 	A(3,16302)
BEAF & Bird's array notation 	{10,4908} (exact) 	{10,4908} (exact)
Hyper-E notation 	E4908 (exact) 	E4908 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(10)\) 	\(s(1)^3(\lambda x.x+1)(11)\)
m(n) map 	m(1)(1539) 	m(1)(1540)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16290)\) 	\(f_2(16291)\)
Hardy hierarchy 	\(H_{\omega^2}(16290)\) 	\(H_{\omega^2}(16291)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 9+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 9+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers