Quadragintaquadringentillion

A quadragintaquadringentillion is equal to \(10^{1323}\) in the short scale and \(10^{2640}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 440th -illion number.
In the long scale, \(10^{1323}\) is called vigintiducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1323}\) (exact) 	\(1\times10^{1323}\) (exact)
Arrow notation 	\(10\uparrow 1323\) (exact) 	\(10\uparrow 1323\) (exact)
Steinhaus-Moser Notation 	491[3] 	492[3]
Chained arrow notation 	\(10\rightarrow 1323\) (exact) 	\(10\rightarrow 1323\) (exact)
Taro's multivariable Ackermann function	A(3,4391) 	A(3,4392)
BEAF & Bird's array notation 	{10,1323} (exact) 	{10,1323} (exact)
Hyper-E notation 	E1323 (exact) 	E1323 (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)(491) 	m(1)(492)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4382)\) 	\(f_2(4383)\)
Hardy hierarchy 	\(H_{\omega^2}(4382)\) 	\(H_{\omega^2}(4383)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 2+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2640}\) (exact) 	\(1\times10^{2640}\) (exact)
Arrow notation 	\(10\uparrow 2640\) (exact) 	\(10\uparrow 2640\) (exact)
Steinhaus-Moser Notation 	894[3] 	895[3]
Chained arrow notation 	\(10\rightarrow 2640\) (exact) 	\(10\rightarrow 2640\) (exact)
Taro's multivariable Ackermann function	A(3,8766) 	A(3,8767)
BEAF & Bird's array notation 	{10,2640} (exact) 	{10,2640} (exact)
Hyper-E notation 	E2640 (exact) 	E2640 (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)(894) 	m(1)(895)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8756)\) 	\(f_2(8757)\)
Hardy hierarchy 	\(H_{\omega^2}(8756)\) 	\(H_{\omega^2}(8757)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers