Octooctogintacentillion

An octooctogintacentillion is equal to \(10^{567}\) in the short scale and \(10^{1128}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 188th -illion number.
In the long scale, \(10^{567}\) is called quattuornonagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{567}\) (exact) 	\(1\times10^{567}\) (exact)
Arrow notation 	\(10\uparrow 567\) (exact) 	\(10\uparrow 567\) (exact)
Steinhaus-Moser Notation 	238[3] 	239[3]
Chained arrow notation 	\(10\rightarrow 567\) (exact) 	\(10\rightarrow 567\) (exact)
Taro's multivariable Ackermann function	A(3,1880) 	A(3,1881)
BEAF & Bird's array notation 	{10,567} (exact) 	{10,567} (exact)
Hyper-E notation 	E567 (exact) 	E567 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(238) 	m(1)(239)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[12] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[13]
Fast-growing hierarchy 	\(f_2(1872)\) 	\(f_2(1873)\)
Hardy hierarchy 	\(H_{\omega^2}(1872)\) 	\(H_{\omega^2}(1873)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 6+7}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 6+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1128}\) (exact) 	\(1\times10^{1128}\) (exact)
Arrow notation 	\(10\uparrow 1128\) (exact) 	\(10\uparrow 1128\) (exact)
Steinhaus-Moser Notation 	428[3] 	429[3]
Chained arrow notation 	\(10\rightarrow 1128\) (exact) 	\(10\rightarrow 1128\) (exact)
Taro's multivariable Ackermann function	A(3,3744) 	A(3,3745)
BEAF & Bird's array notation 	{10,1128} (exact) 	{10,1128} (exact)
Hyper-E notation 	E1128 (exact) 	E1128 (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)(428) 	m(1)(429)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3735)\) 	\(f_2(3736)\)
Hardy hierarchy 	\(H_{\omega^2}(3735)\) 	\(H_{\omega^2}(3736)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2+\omega 2+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers