Octodeciducentillion

An octodeciducentillion is equal to \(10^{657}\) in the short scale and \(10^{1308}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 218th -illion number.
In the long scale, \(10^{657}\) is called novencentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{657}\) (exact) 	\(1\times10^{657}\) (exact)
Arrow notation 	\(10\uparrow 657\) (exact) 	\(10\uparrow 657\) (exact)
Steinhaus-Moser Notation 	270[3] 	271[3]
Chained arrow notation 	\(10\rightarrow 657\) (exact) 	\(10\rightarrow 657\) (exact)
Taro's multivariable Ackermann function	A(3,2179) 	A(3,2180)
BEAF & Bird's array notation 	{10,657} (exact) 	{10,657} (exact)
Hyper-E notation 	E657 (exact) 	E657 (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)(270) 	m(1)(271)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[19] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[20]
Fast-growing hierarchy 	\(f_2(2171)\) 	\(f_2(2172)\)
Hardy hierarchy 	\(H_{\omega^2}(2171)\) 	\(H_{\omega^2}(2172)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1308}\) (exact) 	\(1\times10^{1308}\) (exact)
Arrow notation 	\(10\uparrow 1308\) (exact) 	\(10\uparrow 1308\) (exact)
Steinhaus-Moser Notation 	486[3] 	487[3]
Chained arrow notation 	\(10\rightarrow 1308\) (exact) 	\(10\rightarrow 1308\) (exact)
Taro's multivariable Ackermann function	A(3,4342) 	A(3,4343)
BEAF & Bird's array notation 	{10,1308} (exact) 	{10,1308} (exact)
Hyper-E notation 	E1308 (exact) 	E1308 (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)(486) 	m(1)(487)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4333)\) 	\(f_2(4334)\)
Hardy hierarchy 	\(H_{\omega^2}(4333)\) 	\(H_{\omega^2}(4334)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers