Quingentillion

A quingentillion is equal to \(10^{1503}\) in the short scale and \(10^{3000}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 500th -illion number.
In the long scale, \(10^{1503}\) is called quinquagintaducentilliard.
ARsygo coined a doze pol for this number (referring to the short scale), and it is the 30th number of Vast Irregulars of Goals.AR Googol - Vast Irregulars of Goals numbers Retrieved 2023-03-03.
== Decimal expansion ==
Written out in decimal form quingentillion (in the short scale) is:
In long scale:
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1503}\) (exact) 	\(1\times10^{1503}\) (exact)
Arrow notation 	\(10\uparrow 1503\) (exact) 	\(10\uparrow 1503\) (exact)
Steinhaus-Moser Notation 	548[3] 	549[3]
Chained arrow notation 	\(10\rightarrow 1503\) (exact) 	\(10\rightarrow 1503\) (exact)
Taro's multivariable Ackermann function	A(3,4989) 	A(3,4990)
BEAF & Bird's array notation 	{10,1503} (exact) 	{10,1503} (exact)
Hyper-E notation 	E1503 (exact) 	E1503 (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)(548) 	m(1)(549)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Copy notation 	9[1503] 	10[752]
Pound-Star Notation 	#*((2857))*22 	#*((2858))*22
PlantStar's Debut Notation 	[893] 	[894]
Hyperfactorial array notation 	634! 	635!
Strong array notation 	s(10,1503) 	s(10,1503)
Fast-growing hierarchy 	\(f_2(4980)\) 	\(f_2(4981)\)
Hardy hierarchy 	\(H_{\omega^2}(4980)\) 	\(H_{\omega^2}(4981)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+3}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+3}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound 	
Scientific notation 	\(1\times10^{3000}\) (exact) 	\(1\times10^{3000}\) (exact) 	
Arrow notation 	\(10\uparrow 3000\) (exact) 	\(10\uparrow 3000\) (exact) 	
Steinhaus-Moser Notation 	1000[3] (exact) 	1000[3] (exact) 	
Chained arrow notation 	\(10\rightarrow 3000\) (exact) 	\(10\rightarrow 3000\) (exact) 	
Taro's multivariable Ackermann function	A(3,9962) 	A(3,9963) 	
BEAF & Bird's array notation 	{10,3000} (exact) 	{10,3000} (exact) 	
Hyper-E notation 	E3000 (exact) 	E3000 (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)(1000) 	m(1)(1001) 	
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4] 	
Copy notation 	9[3000] 	1[3001] 	
Pound-Star Notation 	#*((2388))*30 	#*((2389))*30 	
PlantStar's Debut Notation 	[1784] 	[1785] 	
Fast-growing hierarchy 	\(f_2(9952)\) 	\(f_2(9953)\) 	
Hardy hierarchy 	\(H_{\omega^2}(9952)\) 	\(H_{\omega^2}(9953)\) 	
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3}}(10)\) (exact)	\(g_{\omega^{\omega^3 3}}(10)\) (exact)	
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers