Quinquagintaducentillion

A quinquagintaducentillion is equal to \(10^{753}\) in the short scale and \(10^{1500}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 250th -illion number.
In the long scale, \(10^{753}\) is called quinviginticentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{753}\) (exact) 	\(1\times10^{753}\) (exact)
Arrow notation 	\(10\uparrow 753\) (exact) 	\(10\uparrow 753\) (exact)
Steinhaus-Moser Notation 	303[3] 	304[3]
Chained arrow notation 	\(10\rightarrow 753\) (exact) 	\(10\rightarrow 753\) (exact)
Taro's multivariable Ackermann function	A(3,2498) 	A(3,2499)
BEAF & Bird's array notation 	{10,753} (exact) 	{10,753} (exact)
Hyper-E notation 	E753 (exact) 	E753 (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)(303) 	m(1)(304)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[29] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[30]
Fast-growing hierarchy 	\(f_2(2490)\) 	\(f_2(2491)\)
Hardy hierarchy 	\(H_{\omega^2}(2490)\) 	\(H_{\omega^2}(2491)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+\omega 5+3}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+\omega 5+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1500}\) (exact) 	\(1\times10^{1500}\) (exact)
Arrow notation 	\(10\uparrow 1500\) (exact) 	\(10\uparrow 1500\) (exact)
Steinhaus-Moser Notation 	547[3] 	548[3]
Chained arrow notation 	\(10\rightarrow 1500\) (exact) 	\(10\rightarrow 1500\) (exact)
Taro's multivariable Ackermann function	A(3,4979) 	A(3,4980)
BEAF & Bird's array notation 	{10,1500} (exact) 	{10,1500} (exact)
Hyper-E notation 	E1500 (exact) 	E1500 (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)(547) 	m(1)(548)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4970)\) 	\(f_2(4971)\)
Hardy hierarchy 	\(H_{\omega^2}(4970)\) 	\(H_{\omega^2}(4971)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers