Septemoctogintacentillion

A septemoctogintacentillion is equal to \(10^{564}\) in the short scale and \(10^{1122}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 187th -illion number.
In the long scale, \(10^{564}\) is called quattuornonagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{564}\) (exact) 	\(1\times10^{564}\) (exact)
Arrow notation 	\(10\uparrow 564\) (exact) 	\(10\uparrow 564\) (exact)
Steinhaus-Moser Notation 	237[3] 	238[3]
Chained arrow notation 	\(10\rightarrow 564\) (exact) 	\(10\rightarrow 564\) (exact)
Taro's multivariable Ackermann function	A(3,1870) 	A(3,1871)
BEAF & Bird's array notation 	{10,564} (exact) 	{10,564} (exact)
Hyper-E notation 	E564 (exact) 	E564 (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)(237) 	m(1)(238)
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 	\(f_2(1862)\) 	\(f_2(1863)\)
Hardy hierarchy 	\(H_{\omega^2}(1862)\) 	\(H_{\omega^2}(1863)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega 6+4}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega 6+4}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1122}\) (exact) 	\(1\times10^{1122}\) (exact)
Arrow notation 	\(10\uparrow 1122\) (exact) 	\(10\uparrow 1122\) (exact)
Steinhaus-Moser Notation 	426[3] 	427[3]
Chained arrow notation 	\(10\rightarrow 1122\) (exact) 	\(10\rightarrow 1122\) (exact)
Taro's multivariable Ackermann function	A(3,3724) 	A(3,3725)
BEAF & Bird's array notation 	{10,1122} (exact) 	{10,1122} (exact)
Hyper-E notation 	E1122 (exact) 	E1122 (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)(426) 	m(1)(427)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3715)\) 	\(f_2(3716)\)
Hardy hierarchy 	\(H_{\omega^2}(3715)\) 	\(H_{\omega^2}(3716)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2+\omega 2+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2+\omega 2+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers