Quinquagintaseptingentillion

A quinquagintaseptingentillion is equal to \(10^{2253}\) in the short scale and \(10^{4500}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 750th -illion number.
In the long scale, \(10^{2253}\) is called quinseptuagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2253}\) (exact) 	\(1\times10^{2253}\) (exact)
Arrow notation 	\(10\uparrow 2253\) (exact) 	\(10\uparrow 2253\) (exact)
Steinhaus-Moser Notation 	779[3] 	780[3]
Chained arrow notation 	\(10\rightarrow 2253\) (exact) 	\(10\rightarrow 2253\) (exact)
Taro's multivariable Ackermann function	A(3,7481) 	A(3,7482)
BEAF & Bird's array notation 	{10,2253} (exact) 	{10,2253} (exact)
Hyper-E notation 	E2253 (exact) 	E2253 (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)(779) 	m(1)(780)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(7471)\) 	\(f_2(7472)\)
Hardy hierarchy 	\(H_{\omega^2}(7471)\) 	\(H_{\omega^2}(7472)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 5+3}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 2+\omega 5+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4500}\) (exact) 	\(1\times10^{4500}\) (exact)
Arrow notation 	\(10\uparrow 4500\) (exact) 	\(10\uparrow 4500\) (exact)
Steinhaus-Moser Notation 	1426[3] 	1427[3]
Chained arrow notation 	\(10\rightarrow 4500\) (exact) 	\(10\rightarrow 4500\) (exact)
Taro's multivariable Ackermann function	A(3,14945) 	A(3,14946)
BEAF & Bird's array notation 	{10,4500} (exact) 	{10,4500} (exact)
Hyper-E notation 	E4500 (exact) 	E4500 (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)(1426) 	m(1)(1427)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(14934)\) 	\(f_2(14935)\)
Hardy hierarchy 	\(H_{\omega^2}(14934)\) 	\(H_{\omega^2}(14935)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 5}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 5}}(10)\) (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