Octotrigintaquadringentillion

An octotrigintaquadringentillion is equal to \(10^{1317}\) in the short scale and \(10^{2628}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 438th -illion number.
In the long scale, \(10^{1317}\) is called novendeciducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1317}\) (exact) 	\(1\times10^{1317}\) (exact)
Arrow notation 	\(10\uparrow 1317\) (exact) 	\(10\uparrow 1317\) (exact)
Steinhaus-Moser Notation 	489[3] 	490[3]
Chained arrow notation 	\(10\rightarrow 1317\) (exact) 	\(10\rightarrow 1317\) (exact)
Taro's multivariable Ackermann function	A(3,4371) 	A(3,4372)
BEAF & Bird's array notation 	{10,1317} (exact) 	{10,1317} (exact)
Hyper-E notation 	E1317 (exact) 	E1317 (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)(489) 	m(1)(490)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4362)\) 	\(f_2(4363)\)
Hardy hierarchy 	\(H_{\omega^2}(4362)\) 	\(H_{\omega^2}(4363)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2628}\) (exact) 	\(1\times10^{2628}\) (exact)
Arrow notation 	\(10\uparrow 2628\) (exact) 	\(10\uparrow 2628\) (exact)
Steinhaus-Moser Notation 	890[3] 	891[3]
Chained arrow notation 	\(10\rightarrow 2628\) (exact) 	\(10\rightarrow 2628\) (exact)
Taro's multivariable Ackermann function	A(3,8727) 	A(3,8728)
BEAF & Bird's array notation 	{10,2628} (exact) 	{10,2628} (exact)
Hyper-E notation 	E2628 (exact) 	E2628 (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)(890) 	m(1)(891)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8716)\) 	\(f_2(8717)\)
Hardy hierarchy 	\(H_{\omega^2}(8716)\) 	\(H_{\omega^2}(8717)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 2+8}}(10)\) (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