Quintrigintacentillion

A quintrigintacentillion is equal to \(10^{408}\) in the short scale and \(10^{810}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 135th -illion number.
In the long scale, \(10^{408}\) is called octosexagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{408}\) (exact) 	\(1\times10^{408}\) (exact)
Arrow notation 	\(10\uparrow 408\) (exact) 	\(10\uparrow 408\) (exact)
Steinhaus-Moser Notation 	180[3] 	181[3]
Chained arrow notation 	\(10\rightarrow 408\) (exact) 	\(10\rightarrow 408\) (exact)
Taro's multivariable Ackermann function	A(3,1352) 	A(3,1353)
BEAF & Bird's array notation 	{10,408} (exact) 	{10,408} (exact)
Hyper-E notation 	E408 (exact) 	E408 (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)(180) 	m(1)(181)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[39] 	(0)(0)(0)(0)(0)(0)(0)(0)[40]
Fast-growing hierarchy 	\(f_2(1344)\) 	\(f_2(1345)\)
Hardy hierarchy 	\(H_{\omega^2}(1344)\) 	\(H_{\omega^2}(1345)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+8}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{810}\) (exact) 	\(1\times10^{810}\) (exact)
Arrow notation 	\(10\uparrow 810\) (exact) 	\(10\uparrow 810\) (exact)
Steinhaus-Moser Notation 	322[3] 	323[3]
Chained arrow notation 	\(10\rightarrow 810\) (exact) 	\(10\rightarrow 810\) (exact)
Taro's multivariable Ackermann function	A(3,2687) 	A(3,2688)
BEAF & Bird's array notation 	{10,810} (exact) 	{10,810} (exact)
Hyper-E notation 	E810 (exact) 	E810 (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)(322) 	m(1)(323)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[38] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[39]
Fast-growing hierarchy 	\(f_2(2679)\) 	\(f_2(2680)\)
Hardy hierarchy 	\(H_{\omega^2}(2679)\) 	\(H_{\omega^2}(2680)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+\omega}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+\omega}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers