Duooctogintaquingentillion

A duooctogintaquingentillion is equal to \(10^{1749}\) in the short scale and \(10^{3492}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 582nd -illion number.
In the long scale, \(10^{1749}\) is called unnonagintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1749}\) (exact) 	\(1\times10^{1749}\) (exact)
Arrow notation 	\(10\uparrow 1749\) (exact) 	\(10\uparrow 1749\) (exact)
Steinhaus-Moser Notation 	625[3] 	626[3]
Chained arrow notation 	\(10\rightarrow 1749\) (exact) 	\(10\rightarrow 1749\) (exact)
Taro's multivariable Ackermann function	A(3,5807) 	A(3,5808)
BEAF & Bird's array notation 	{10,1749} (exact) 	{10,1749} (exact)
Hyper-E notation 	E1749 (exact) 	E1749 (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)(625) 	m(1)(626)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5797)\) 	\(f_2(5798)\)
Hardy hierarchy 	\(H_{\omega^2}(5797)\) 	\(H_{\omega^2}(5798)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 7+\omega 4+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3492}\) (exact) 	\(1\times10^{3492}\) (exact)
Arrow notation 	\(10\uparrow 3492\) (exact) 	\(10\uparrow 3492\) (exact)
Steinhaus-Moser Notation 	1142[3] 	1143[3]
Chained arrow notation 	\(10\rightarrow 3492\) (exact) 	\(10\rightarrow 3492\) (exact)
Taro's multivariable Ackermann function	A(3,11597) 	A(3,11598)
BEAF & Bird's array notation 	{10,3492} (exact) 	{10,3492} (exact)
Hyper-E notation 	E3492 (exact) 	E3492 (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)(1142) 	m(1)(1143)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11586)\) 	\(f_2(11587)\)
Hardy hierarchy 	\(H_{\omega^2}(11586)\) 	\(H_{\omega^2}(11587)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 4+\omega 9+2}}(10)\) (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