Quincentillion

A quincentillion is equal to \(10^{318}\) in the short scale and \(10^{630}\) in the long scale by Conway and Guy's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 105th -illion number.
In the long scale, \(10^{318}\) is called tresquinquagintillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{318}\) 	\(1\times10^{318}\)
Arrow notation 	\(10\uparrow 318\) 	\(10\uparrow 318\)
Taro's multivariable Ackermann function	A(3,1053) 	A(3,1054)
BEAF 	{10,318} 	{10,318}
Hyper-E notation 	E318 	E318
Fast-growing hierarchy 	\(f_2(1046)\) 	\(f_2(1047)\)
Hardy hierarchy 	\(H_{\omega^2}(1046)\)	\(H_{\omega^2}(1047)\)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{630}\) 	\(1\times10^{630}\)
Arrow notation 	\(10\uparrow 630\) 	\(10\uparrow 630\)
Taro's multivariable Ackermann function	A(3,2089) 	A(3,2090)
BEAF 	{10,630} 	{10,630}
Hyper-E notation 	E630 	E630
Fast-growing hierarchy 	\(f_2(2081)\) 	\(f_2(2082)\)
Hardy hierarchy 	\(H_{\omega^2}(2081)\)	\(H_{\omega^2}(2082)\)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers