Quattuortrigintacentillion

A quattuortrigintacentillion is equal to \(10^{405}\) in the short scale and \(10^{804}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 134th -illion number.
In the long scale, \(10^{405}\) is called septensexagintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{405}\) (exact) 	\(1\times10^{405}\) (exact)
Arrow notation 	\(10\uparrow 405\) (exact) 	\(10\uparrow 405\) (exact)
Steinhaus-Moser Notation 	179[3] 	180[3]
Chained arrow notation 	\(10\rightarrow 405\) (exact) 	\(10\rightarrow 405\) (exact)
Taro's multivariable Ackermann function	A(3,1342) 	A(3,1343)
BEAF & Bird's array notation 	{10,405} (exact) 	{10,405} (exact)
Hyper-E notation 	E405 (exact) 	E405 (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)(179) 	m(1)(180)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)[38] 	(0)(0)(0)(0)(0)(0)(0)(0)[39]
Fast-growing hierarchy 	\(f_2(1334)\) 	\(f_2(1335)\)
Hardy hierarchy 	\(H_{\omega^2}(1334)\) 	\(H_{\omega^2}(1335)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 4+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 4+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{804}\) (exact) 	\(1\times10^{804}\) (exact)
Arrow notation 	\(10\uparrow 804\) (exact) 	\(10\uparrow 804\) (exact)
Steinhaus-Moser Notation 	320[3] 	321[3]
Chained arrow notation 	\(10\rightarrow 804\) (exact) 	\(10\rightarrow 804\) (exact)
Taro's multivariable Ackermann function	A(3,2667) 	A(3,2668)
BEAF & Bird's array notation 	{10,804} (exact) 	{10,804} (exact)
Hyper-E notation 	E804 (exact) 	E804 (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)(320) 	m(1)(321)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[37] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[38]
Fast-growing hierarchy 	\(f_2(2659)\) 	\(f_2(2660)\)
Hardy hierarchy 	\(H_{\omega^2}(2659)\) 	\(H_{\omega^2}(2660)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 8+4}}(10)\) (exact)	\(g_{\omega^{\omega^2 8+4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers