Quadragintaoctingentillion

A quadragintaoctingentillion is equal to \(10^{2523}\) in the short scale and \(10^{5040}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 840th -illion number.
In the long scale, \(10^{2523}\) is called vigintiquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2523}\) (exact) 	\(1\times10^{2523}\) (exact)
Arrow notation 	\(10\uparrow 2523\) (exact) 	\(10\uparrow 2523\) (exact)
Steinhaus-Moser Notation 	859[3] 	860[3]
Chained arrow notation 	\(10\rightarrow 2523\) (exact) 	\(10\rightarrow 2523\) (exact)
Taro's multivariable Ackermann function	A(3,8378) 	A(3,8379)
BEAF & Bird's array notation 	{10,2523} (exact) 	{10,2523} (exact)
Hyper-E notation 	E2523 (exact) 	E2523 (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)(859) 	m(1)(860)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8368)\) 	\(f_2(8369)\)
Hardy hierarchy 	\(H_{\omega^2}(8368)\) 	\(H_{\omega^2}(8369)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5040}\) (exact) 	\(1\times10^{5040}\) (exact)
Arrow notation 	\(10\uparrow 5040\) (exact) 	\(10\uparrow 5040\) (exact)
Steinhaus-Moser Notation 	1576[3] 	1577[3]
Chained arrow notation 	\(10\rightarrow 5040\) (exact) 	\(10\rightarrow 5040\) (exact)
Taro's multivariable Ackermann function	A(3,16739) 	A(3,16740)
BEAF & Bird's array notation 	{10,5040} (exact) 	{10,5040} (exact)
Hyper-E notation 	E5040 (exact) 	E5040 (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)(1576) 	m(1)(1577)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16728)\) 	\(f_2(16729)\)
Hardy hierarchy 	\(H_{\omega^2}(16728)\) 	\(H_{\omega^2}(16729)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega 4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers