Octooctogintasescentillion

An octooctogintasescentillion is equal to \(10^{2067}\) in the short scale and \(10^{4128}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 688th -illion number.
In the long scale, \(10^{2067}\) is called quattuorquadragintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2067}\) (exact) 	\(1\times10^{2067}\) (exact)
Arrow notation 	\(10\uparrow 2067\) (exact) 	\(10\uparrow 2067\) (exact)
Steinhaus-Moser Notation 	722[3] 	723[3]
Chained arrow notation 	\(10\rightarrow 2067\) (exact) 	\(10\rightarrow 2067\) (exact)
Taro's multivariable Ackermann function	A(3,6863) 	A(3,6864)
BEAF & Bird's array notation 	{10,2067} (exact) 	{10,2067} (exact)
Hyper-E notation 	E2067 (exact) 	E2067 (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)(722) 	m(1)(723)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6853)\) 	\(f_2(6854)\)
Hardy hierarchy 	\(H_{\omega^2}(6853)\) 	\(H_{\omega^2}(6854)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 6+7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 6+7}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4128}\) (exact) 	\(1\times10^{4128}\) (exact)
Arrow notation 	\(10\uparrow 4128\) (exact) 	\(10\uparrow 4128\) (exact)
Steinhaus-Moser Notation 	1322[3] 	1323[3]
Chained arrow notation 	\(10\rightarrow 4128\) (exact) 	\(10\rightarrow 4128\) (exact)
Taro's multivariable Ackermann function	A(3,13709) 	A(3,13710)
BEAF & Bird's array notation 	{10,4128} (exact) 	{10,4128} (exact)
Hyper-E notation 	E4128 (exact) 	E4128 (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)(1322) 	m(1)(1323)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13699)\) 	\(f_2(13700)\)
Hardy hierarchy 	\(H_{\omega^2}(13699)\) 	\(H_{\omega^2}(13700)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2+\omega 2+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2+\omega 2+8}}(10)\) (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