Duosexagintaquingentillion

A duosexagintaquingentillion is equal to \(10^{1689}\) in the short scale and \(10^{3372}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 562nd -illion number.
In the long scale, \(10^{1689}\) is called unoctogintaducentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1689}\) (exact) 	\(1\times10^{1689}\) (exact)
Arrow notation 	\(10\uparrow 1689\) (exact) 	\(10\uparrow 1689\) (exact)
Steinhaus-Moser Notation 	606[3] 	607[3]
Chained arrow notation 	\(10\rightarrow 1689\) (exact) 	\(10\rightarrow 1689\) (exact)
Taro's multivariable Ackermann function	A(3,5607) 	A(3,5608)
BEAF & Bird's array notation 	{10,1689} (exact) 	{10,1689} (exact)
Hyper-E notation 	E1689 (exact) 	E1689 (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)(606) 	m(1)(607)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5598)\) 	\(f_2(5599)\)
Hardy hierarchy 	\(H_{\omega^2}(5598)\) 	\(H_{\omega^2}(5599)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+9}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 6+\omega 8+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3372}\) (exact) 	\(1\times10^{3372}\) (exact)
Arrow notation 	\(10\uparrow 3372\) (exact) 	\(10\uparrow 3372\) (exact)
Steinhaus-Moser Notation 	1107[3] 	1108[3]
Chained arrow notation 	\(10\rightarrow 3372\) (exact) 	\(10\rightarrow 3372\) (exact)
Taro's multivariable Ackermann function	A(3,11198) 	A(3,11199)
BEAF & Bird's array notation 	{10,3372} (exact) 	{10,3372} (exact)
Hyper-E notation 	E3372 (exact) 	E3372 (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)(1107) 	m(1)(1108)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(11188)\) 	\(f_2(11189)\)
Hardy hierarchy 	\(H_{\omega^2}(11188)\) 	\(H_{\omega^2}(11189)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega^2 3+\omega 7+2}}(10)\) (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