Octoquinquagintasescentillion

An octoquinquagintasescentillion is equal to \(10^{1977}\) in the short scale and \(10^{3948}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 658th -illion number.
In the long scale, \(10^{1977}\) is called novemvigintitrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1977}\) (exact) 	\(1\times10^{1977}\) (exact)
Arrow notation 	\(10\uparrow 1977\) (exact) 	\(10\uparrow 1977\) (exact)
Steinhaus-Moser Notation 	695[3] 	696[3]
Chained arrow notation 	\(10\rightarrow 1977\) (exact) 	\(10\rightarrow 1977\) (exact)
Taro's multivariable Ackermann function	A(3,6564) 	A(3,6565)
BEAF & Bird's array notation 	{10,1977} (exact) 	{10,1977} (exact)
Hyper-E notation 	E1977 (exact) 	E1977 (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)(695) 	m(1)(696)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6554)\) 	\(f_2(6555)\)
Hardy hierarchy 	\(H_{\omega^2}(6554)\) 	\(H_{\omega^2}(6555)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 9+\omega 7+7}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 9+\omega 7+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3948}\) (exact) 	\(1\times10^{3948}\) (exact)
Arrow notation 	\(10\uparrow 3948\) (exact) 	\(10\uparrow 3948\) (exact)
Steinhaus-Moser Notation 	1271[3] 	1272[3]
Chained arrow notation 	\(10\rightarrow 3948\) (exact) 	\(10\rightarrow 3948\) (exact)
Taro's multivariable Ackermann function	A(3,13111) 	A(3,13112)
BEAF & Bird's array notation 	{10,3948} (exact) 	{10,3948} (exact)
Hyper-E notation 	E3948 (exact) 	E3948 (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)(1271) 	m(1)(1272)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13101)\) 	\(f_2(13102)\)
Hardy hierarchy 	\(H_{\omega^2}(13101)\) 	\(H_{\omega^2}(13102)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 9+\omega 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 9+\omega 4+8}}(10)\) (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