Quadragintaducentillion

A quadragintaducentillion is equal to \(10^{723}\) in the short scale and \(10^{1440}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 240th -illion number.
In the long scale, \(10^{723}\) is called viginticentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{723}\) (exact) 	\(1\times10^{723}\) (exact)
Arrow notation 	\(10\uparrow 723\) (exact) 	\(10\uparrow 723\) (exact)
Steinhaus-Moser Notation 	293[3] 	294[3]
Chained arrow notation 	\(10\rightarrow 723\) (exact) 	\(10\rightarrow 723\) (exact)
Taro's multivariable Ackermann function	A(3,2398) 	A(3,2399)
BEAF & Bird's array notation 	{10,723} (exact) 	{10,723} (exact)
Hyper-E notation 	E723 (exact) 	E723 (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)(293) 	m(1)(294)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[25] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[26]
Fast-growing hierarchy 	\(f_2(2390)\) 	\(f_2(2391)\)
Hardy hierarchy 	\(H_{\omega^2}(2390)\) 	\(H_{\omega^2}(2391)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1440}\) (exact) 	\(1\times10^{1440}\) (exact)
Arrow notation 	\(10\uparrow 1440\) (exact) 	\(10\uparrow 1440\) (exact)
Steinhaus-Moser Notation 	528[3] 	529[3]
Chained arrow notation 	\(10\rightarrow 1440\) (exact) 	\(10\rightarrow 1440\) (exact)
Taro's multivariable Ackermann function	A(3,4780) 	A(3,4781)
BEAF & Bird's array notation 	{10,1440} (exact) 	{10,1440} (exact)
Hyper-E notation 	E1440 (exact) 	E1440 (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)(528) 	m(1)(529)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4771)\) 	\(f_2(4772)\)
Hardy hierarchy 	\(H_{\omega^2}(4771)\) 	\(H_{\omega^2}(4772)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 4+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 4+\omega 4}}(10)\) (exact)
== 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