Octodeciseptingentillion

An octodeciseptingentillion is equal to \(10^{2157}\) in the short scale and \(10^{4308}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 718th -illion number.
In the long scale, \(10^{2157}\) is called novenquinquagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2157}\) (exact) 	\(1\times10^{2157}\) (exact)
Arrow notation 	\(10\uparrow 2157\) (exact) 	\(10\uparrow 2157\) (exact)
Steinhaus-Moser Notation 	750[3] 	751[3]
Chained arrow notation 	\(10\rightarrow 2157\) (exact) 	\(10\rightarrow 2157\) (exact)
Taro's multivariable Ackermann function	A(3,7162) 	A(3,7163)
BEAF & Bird's array notation 	{10,2157} (exact) 	{10,2157} (exact)
Hyper-E notation 	E2157 (exact) 	E2157 (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)(750) 	m(1)(751)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7152)\) 	\(f_2(7153)\)
Hardy hierarchy 	\(H_{\omega^2}(7152)\) 	\(H_{\omega^2}(7153)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 5+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 5+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4308}\) (exact) 	\(1\times10^{4308}\) (exact)
Arrow notation 	\(10\uparrow 4308\) (exact) 	\(10\uparrow 4308\) (exact)
Steinhaus-Moser Notation 	1372[3] 	1373[3]
Chained arrow notation 	\(10\rightarrow 4308\) (exact) 	\(10\rightarrow 4308\) (exact)
Taro's multivariable Ackermann function	A(3,14307) 	A(3,14308)
BEAF & Bird's array notation 	{10,4308} (exact) 	{10,4308} (exact)
Hyper-E notation 	E4308 (exact) 	E4308 (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)(1372) 	m(1)(1373)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14297)\) 	\(f_2(14298)\)
Hardy hierarchy 	\(H_{\omega^2}(14297)\) 	\(H_{\omega^2}(14298)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 3+8}}(10)\) (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