Octoquinquagintatrecentillion

An octoquinquagintatrecentillion is equal to \(10^{1077}\) in the short scale and \(10^{2148}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 358th -illion number.
In the long scale, \(10^{1077}\) is called novenseptuagintacentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1077}\) (exact) 	\(1\times10^{1077}\) (exact)
Arrow notation 	\(10\uparrow 1077\) (exact) 	\(10\uparrow 1077\) (exact)
Steinhaus-Moser Notation 	411[3] 	412[3]
Chained arrow notation 	\(10\rightarrow 1077\) (exact) 	\(10\rightarrow 1077\) (exact)
Taro's multivariable Ackermann function	A(3,3574) 	A(3,3575)
BEAF & Bird's array notation 	{10,1077} (exact) 	{10,1077} (exact)
Hyper-E notation 	E1077 (exact) 	E1077 (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)(411) 	m(1)(412)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3565)\) 	\(f_2(3566)\)
Hardy hierarchy 	\(H_{\omega^2}(3565)\) 	\(H_{\omega^2}(3566)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2148}\) (exact) 	\(1\times10^{2148}\) (exact)
Arrow notation 	\(10\uparrow 2148\) (exact) 	\(10\uparrow 2148\) (exact)
Steinhaus-Moser Notation 	747[3] 	748[3]
Chained arrow notation 	\(10\rightarrow 2148\) (exact) 	\(10\rightarrow 2148\) (exact)
Taro's multivariable Ackermann function	A(3,7132) 	A(3,7133)
BEAF & Bird's array notation 	{10,2148} (exact) 	{10,2148} (exact)
Hyper-E notation 	E2148 (exact) 	E2148 (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)(747) 	m(1)(748)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7122)\) 	\(f_2(7123)\)
Hardy hierarchy 	\(H_{\omega^2}(7122)\) 	\(H_{\omega^2}(7123)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+\omega 4+8}}(10)\) (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