Quinquadragintaquingentillion

A quinquadragintaquingentillion is equal to \(10^{1638}\) in the short scale and \(10^{3270}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 545th -illion number.
In the long scale, \(10^{1638}\) is called treseptuagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1638}\) (exact) 	\(1\times10^{1638}\) (exact)
Arrow notation 	\(10\uparrow 1638\) (exact) 	\(10\uparrow 1638\) (exact)
Steinhaus-Moser Notation 	590[3] 	591[3]
Chained arrow notation 	\(10\rightarrow 1638\) (exact) 	\(10\rightarrow 1638\) (exact)
Taro's multivariable Ackermann function	A(3,5438) 	A(3,5439)
BEAF & Bird's array notation 	{10,1638} (exact) 	{10,1638} (exact)
Hyper-E notation 	E1638 (exact) 	E1638 (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)(590) 	m(1)(591)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5428)\) 	\(f_2(5429)\)
Hardy hierarchy 	\(H_{\omega^2}(5428)\) 	\(H_{\omega^2}(5429)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 3+8}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3270}\) (exact) 	\(1\times10^{3270}\) (exact)
Arrow notation 	\(10\uparrow 3270\) (exact) 	\(10\uparrow 3270\) (exact)
Steinhaus-Moser Notation 	1078[3] 	1079[3]
Chained arrow notation 	\(10\rightarrow 3270\) (exact) 	\(10\rightarrow 3270\) (exact)
Taro's multivariable Ackermann function	A(3,10859) 	A(3,10860)
BEAF & Bird's array notation 	{10,3270} (exact) 	{10,3270} (exact)
Hyper-E notation 	E3270 (exact) 	E3270 (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)(1078) 	m(1)(1079)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10849)\) 	\(f_2(10850)\)
Hardy hierarchy 	\(H_{\omega^2}(10849)\) 	\(H_{\omega^2}(10850)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 7}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 2+\omega 7}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers