Quadragintaseptingentillion

A quadragintaseptingentillion is equal to \(10^{2223}\) in the short scale and \(10^{4440}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 740th -illion number.
In the long scale, \(10^{2223}\) is called septuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2223}\) (exact) 	\(1\times10^{2223}\) (exact)
Arrow notation 	\(10\uparrow 2223\) (exact) 	\(10\uparrow 2223\) (exact)
Steinhaus-Moser Notation 	770[3] 	771[3]
Chained arrow notation 	\(10\rightarrow 2223\) (exact) 	\(10\rightarrow 2223\) (exact)
Taro's multivariable Ackermann function	A(3,7381) 	A(3,7382)
BEAF & Bird's array notation 	{10,2223} (exact) 	{10,2223} (exact)
Hyper-E notation 	E2223 (exact) 	E2223 (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)(770) 	m(1)(771)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7371)\) 	\(f_2(7372)\)
Hardy hierarchy 	\(H_{\omega^2}(7371)\) 	\(H_{\omega^2}(7372)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4440}\) (exact) 	\(1\times10^{4440}\) (exact)
Arrow notation 	\(10\uparrow 4440\) (exact) 	\(10\uparrow 4440\) (exact)
Steinhaus-Moser Notation 	1409[3] 	1410[3]
Chained arrow notation 	\(10\rightarrow 4440\) (exact) 	\(10\rightarrow 4440\) (exact)
Taro's multivariable Ackermann function	A(3,14746) 	A(3,14747)
BEAF & Bird's array notation 	{10,4440} (exact) 	{10,4440} (exact)
Hyper-E notation 	E4440 (exact) 	E4440 (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)(1409) 	m(1)(1410)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14735)\) 	\(f_2(14736)\)
Hardy hierarchy 	\(H_{\omega^2}(14735)\) 	\(H_{\omega^2}(14736)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 4+\omega 4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers