Duoquingentillion

A duoquingentillion is equal to \(10^{1509}\) in the short scale and \(10^{3012}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 502nd -illion number.
In the long scale, \(10^{1509}\) is called unquinquagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1509}\) (exact) 	\(1\times10^{1509}\) (exact)
Arrow notation 	\(10\uparrow 1509\) (exact) 	\(10\uparrow 1509\) (exact)
Steinhaus-Moser Notation 	550[3] 	551[3]
Chained arrow notation 	\(10\rightarrow 1509\) (exact) 	\(10\rightarrow 1509\) (exact)
Taro's multivariable Ackermann function	A(3,5009) 	A(3,5010)
BEAF & Bird's array notation 	{10,1509} (exact) 	{10,1509} (exact)
Hyper-E notation 	E1509 (exact) 	E1509 (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)(550) 	m(1)(551)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5000)\) 	\(f_2(5001)\)
Hardy hierarchy 	\(H_{\omega^2}(5000)\) 	\(H_{\omega^2}(5001)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3012}\) (exact) 	\(1\times10^{3012}\) (exact)
Arrow notation 	\(10\uparrow 3012\) (exact) 	\(10\uparrow 3012\) (exact)
Steinhaus-Moser Notation 	1003[3] 	1004[3]
Chained arrow notation 	\(10\rightarrow 3012\) (exact) 	\(10\rightarrow 3012\) (exact)
Taro's multivariable Ackermann function	A(3,10002) 	A(3,10003)
BEAF & Bird's array notation 	{10,3012} (exact) 	{10,3012} (exact)
Hyper-E notation 	E3012 (exact) 	E3012 (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)(1003) 	m(1)(1004)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(9992)\) 	\(f_2(9993)\)
Hardy hierarchy 	\(H_{\omega^2}(9992)\) 	\(H_{\omega^2}(9993)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega+2}}(10)\) (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