Unquingentillion

An unquingentillion is equal to \(10^{1506}\) in the short scale and \(10^{3006}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 501st -illion number.
In the long scale, \(10^{1506}\) is called unquinquagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1506}\) (exact) 	\(1\times10^{1506}\) (exact)
Arrow notation 	\(10\uparrow 1506\) (exact) 	\(10\uparrow 1506\) (exact)
Steinhaus-Moser Notation 	549[3] 	550[3]
Chained arrow notation 	\(10\rightarrow 1506\) (exact) 	\(10\rightarrow 1506\) (exact)
Taro's multivariable Ackermann function	A(3,4999) 	A(3,5000)
BEAF & Bird's array notation 	{10,1506} (exact) 	{10,1506} (exact)
Hyper-E notation 	E1506 (exact) 	E1506 (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)(549) 	m(1)(550)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4990)\) 	\(f_2(4991)\)
Hardy hierarchy 	\(H_{\omega^2}(4990)\) 	\(H_{\omega^2}(4991)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+6}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+6}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3006}\) (exact) 	\(1\times10^{3006}\) (exact)
Arrow notation 	\(10\uparrow 3006\) (exact) 	\(10\uparrow 3006\) (exact)
Steinhaus-Moser Notation 	1001[3] 	1002[3]
Chained arrow notation 	\(10\rightarrow 3006\) (exact) 	\(10\rightarrow 3006\) (exact)
Taro's multivariable Ackermann function	A(3,9982) 	A(3,9983)
BEAF & Bird's array notation 	{10,3006} (exact) 	{10,3006} (exact)
Hyper-E notation 	E3006 (exact) 	E3006 (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)(1001) 	m(1)(1002)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9972)\) 	\(f_2(9973)\)
Hardy hierarchy 	\(H_{\omega^2}(9972)\) 	\(H_{\omega^2}(9973)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+6}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+6}}(10)\) (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