Quinquagintaquingentillion

A quinquagintaquingentillion is equal to \(10^{1653}\) in the short scale and \(10^{3300}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 550th -illion number.
In the long scale, \(10^{1653}\) is called quinseptuagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1653}\) (exact) 	\(1\times10^{1653}\) (exact)
Arrow notation 	\(10\uparrow 1653\) (exact) 	\(10\uparrow 1653\) (exact)
Steinhaus-Moser Notation 	595[3] 	596[3]
Chained arrow notation 	\(10\rightarrow 1653\) (exact) 	\(10\rightarrow 1653\) (exact)
Taro's multivariable Ackermann function	A(3,5488) 	A(3,5489)
BEAF & Bird's array notation 	{10,1653} (exact) 	{10,1653} (exact)
Hyper-E notation 	E1653 (exact) 	E1653 (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)(595) 	m(1)(596)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5478)\) 	\(f_2(5479)\)
Hardy hierarchy 	\(H_{\omega^2}(5478)\) 	\(H_{\omega^2}(5479)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 5+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 5+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3300}\) (exact) 	\(1\times10^{3300}\) (exact)
Arrow notation 	\(10\uparrow 3300\) (exact) 	\(10\uparrow 3300\) (exact)
Steinhaus-Moser Notation 	1086[3] 	1087[3]
Chained arrow notation 	\(10\rightarrow 3300\) (exact) 	\(10\rightarrow 3300\) (exact)
Taro's multivariable Ackermann function	A(3,10959) 	A(3,10960)
BEAF & Bird's array notation 	{10,3300} (exact) 	{10,3300} (exact)
Hyper-E notation 	E3300 (exact) 	E3300 (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)(1086) 	m(1)(1087)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10948)\) 	\(f_2(10949)\)
Hardy hierarchy 	\(H_{\omega^2}(10948)\) 	\(H_{\omega^2}(10949)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3}}(10)\) (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