Quinquadragintaquadringentillion

A quinquadragintaquadringentillion is equal to \(10^{1338}\) in the short scale and \(10^{2670}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 445th -illion number.
In the long scale, \(10^{1338}\) is called tresvigintiducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1338}\) (exact) 	\(1\times10^{1338}\) (exact)
Arrow notation 	\(10\uparrow 1338\) (exact) 	\(10\uparrow 1338\) (exact)
Steinhaus-Moser Notation 	496[3] 	497[3]
Chained arrow notation 	\(10\rightarrow 1338\) (exact) 	\(10\rightarrow 1338\) (exact)
Taro's multivariable Ackermann function	A(3,4441) 	A(3,4442)
BEAF & Bird's array notation 	{10,1338} (exact) 	{10,1338} (exact)
Hyper-E notation 	E1338 (exact) 	E1338 (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)(496) 	m(1)(497)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4432)\) 	\(f_2(4433)\)
Hardy hierarchy 	\(H_{\omega^2}(4432)\) 	\(H_{\omega^2}(4433)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 3+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2670}\) (exact) 	\(1\times10^{2670}\) (exact)
Arrow notation 	\(10\uparrow 2670\) (exact) 	\(10\uparrow 2670\) (exact)
Steinhaus-Moser Notation 	903[3] 	904[3]
Chained arrow notation 	\(10\rightarrow 2670\) (exact) 	\(10\rightarrow 2670\) (exact)
Taro's multivariable Ackermann function	A(3,8866) 	A(3,8867)
BEAF & Bird's array notation 	{10,2670} (exact) 	{10,2670} (exact)
Hyper-E notation 	E2670 (exact) 	E2670 (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)(903) 	m(1)(904)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8856)\) 	\(f_2(8857)\)
Hardy hierarchy 	\(H_{\omega^2}(8856)\) 	\(H_{\omega^2}(8857)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 7}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers