Octoquinquagintaquadringentillion

An octoquinquagintaquadringentillion is equal to \(10^{1377}\) in the short scale and \(10^{2748}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 458th -illion number.
In the long scale, \(10^{1377}\) is called novemvigintiducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1377}\) (exact) 	\(1\times10^{1377}\) (exact)
Arrow notation 	\(10\uparrow 1377\) (exact) 	\(10\uparrow 1377\) (exact)
Steinhaus-Moser Notation 	508[3] 	509[3]
Chained arrow notation 	\(10\rightarrow 1377\) (exact) 	\(10\rightarrow 1377\) (exact)
Taro's multivariable Ackermann function	A(3,4571) 	A(3,4572)
BEAF & Bird's array notation 	{10,1377} (exact) 	{10,1377} (exact)
Hyper-E notation 	E1377 (exact) 	E1377 (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)(508) 	m(1)(509)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4562)\) 	\(f_2(4563)\)
Hardy hierarchy 	\(H_{\omega^2}(4562)\) 	\(H_{\omega^2}(4563)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2748}\) (exact) 	\(1\times10^{2748}\) (exact)
Arrow notation 	\(10\uparrow 2748\) (exact) 	\(10\uparrow 2748\) (exact)
Steinhaus-Moser Notation 	926[3] 	927[3]
Chained arrow notation 	\(10\rightarrow 2748\) (exact) 	\(10\rightarrow 2748\) (exact)
Taro's multivariable Ackermann function	A(3,9125) 	A(3,9126)
BEAF & Bird's array notation 	{10,2748} (exact) 	{10,2748} (exact)
Hyper-E notation 	E2748 (exact) 	E2748 (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)(926) 	m(1)(927)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9115)\) 	\(f_2(9116)\)
Hardy hierarchy 	\(H_{\omega^2}(9115)\) 	\(H_{\omega^2}(9116)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 7+\omega 4+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers