Quattuorquinquagintaseptingentillion

A quattuorquinquagintaseptingentillion is equal to \(10^{2265}\) in the short scale and \(10^{4524}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 754th -illion number.
In the long scale, \(10^{2265}\) is called septenseptuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2265}\) (exact) 	\(1\times10^{2265}\) (exact)
Arrow notation 	\(10\uparrow 2265\) (exact) 	\(10\uparrow 2265\) (exact)
Steinhaus-Moser Notation 	782[3] 	783[3]
Chained arrow notation 	\(10\rightarrow 2265\) (exact) 	\(10\rightarrow 2265\) (exact)
Taro's multivariable Ackermann function	A(3,7521) 	A(3,7522)
BEAF & Bird's array notation 	{10,2265} (exact) 	{10,2265} (exact)
Hyper-E notation 	E2265 (exact) 	E2265 (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)(782) 	m(1)(783)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7511)\) 	\(f_2(7512)\)
Hardy hierarchy 	\(H_{\omega^2}(7511)\) 	\(H_{\omega^2}(7512)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+5}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 6+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4524}\) (exact) 	\(1\times10^{4524}\) (exact)
Arrow notation 	\(10\uparrow 4524\) (exact) 	\(10\uparrow 4524\) (exact)
Steinhaus-Moser Notation 	1433[3] 	1434[3]
Chained arrow notation 	\(10\rightarrow 4524\) (exact) 	\(10\rightarrow 4524\) (exact)
Taro's multivariable Ackermann function	A(3,15025) 	A(3,15026)
BEAF & Bird's array notation 	{10,4524} (exact) 	{10,4524} (exact)
Hyper-E notation 	E4524 (exact) 	E4524 (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)(1433) 	m(1)(1434)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(15014)\) 	\(f_2(15015)\)
Hardy hierarchy 	\(H_{\omega^2}(15014)\) 	\(H_{\omega^2}(15015)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 2+4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5+\omega 2+4}}(10)\) (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