Duovigintiquingentillion

A duovigintiquingentillion is equal to \(10^{1569}\) in the short scale and \(10^{3132}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 522nd -illion number.
In the long scale, \(10^{1569}\) is called unsexagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1569}\) (exact) 	\(1\times10^{1569}\) (exact)
Arrow notation 	\(10\uparrow 1569\) (exact) 	\(10\uparrow 1569\) (exact)
Steinhaus-Moser Notation 	569[3] 	570[3]
Chained arrow notation 	\(10\rightarrow 1569\) (exact) 	\(10\rightarrow 1569\) (exact)
Taro's multivariable Ackermann function	A(3,5209) 	A(3,5210)
BEAF & Bird's array notation 	{10,1569} (exact) 	{10,1569} (exact)
Hyper-E notation 	E1569 (exact) 	E1569 (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)(569) 	m(1)(570)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5199)\) 	\(f_2(5200)\)
Hardy hierarchy 	\(H_{\omega^2}(5199)\) 	\(H_{\omega^2}(5200)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 6+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 6+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3132}\) (exact) 	\(1\times10^{3132}\) (exact)
Arrow notation 	\(10\uparrow 3132\) (exact) 	\(10\uparrow 3132\) (exact)
Steinhaus-Moser Notation 	1038[3] 	1039[3]
Chained arrow notation 	\(10\rightarrow 3132\) (exact) 	\(10\rightarrow 3132\) (exact)
Taro's multivariable Ackermann function	A(3,10401) 	A(3,10402)
BEAF & Bird's array notation 	{10,3132} (exact) 	{10,3132} (exact)
Hyper-E notation 	E3132 (exact) 	E3132 (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)(1038) 	m(1)(1039)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10390)\) 	\(f_2(10391)\)
Hardy hierarchy 	\(H_{\omega^2}(10390)\) 	\(H_{\omega^2}(10391)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2+\omega 3+2}}(10)\) (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