Duosexagintaoctingentillion

A duosexagintaoctingentillion is equal to \(10^{2589}\) in the short scale and \(10^{5172}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 862nd -illion number.
In the long scale, \(10^{2589}\) is called untrigintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2589}\) (exact) 	\(1\times10^{2589}\) (exact)
Arrow notation 	\(10\uparrow 2589\) (exact) 	\(10\uparrow 2589\) (exact)
Steinhaus-Moser Notation 	879[3] 	880[3]
Chained arrow notation 	\(10\rightarrow 2589\) (exact) 	\(10\rightarrow 2589\) (exact)
Taro's multivariable Ackermann function	A(3,8597) 	A(3,8598)
BEAF & Bird's array notation 	{10,2589} (exact) 	{10,2589} (exact)
Hyper-E notation 	E2589 (exact) 	E2589 (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)(879) 	m(1)(880)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8587)\) 	\(f_2(8588)\)
Hardy hierarchy 	\(H_{\omega^2}(8587)\) 	\(H_{\omega^2}(8588)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 8+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 5+\omega 8+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5172}\) (exact) 	\(1\times10^{5172}\) (exact)
Arrow notation 	\(10\uparrow 5172\) (exact) 	\(10\uparrow 5172\) (exact)
Steinhaus-Moser Notation 	1612[3] 	1613[3]
Chained arrow notation 	\(10\rightarrow 5172\) (exact) 	\(10\rightarrow 5172\) (exact)
Taro's multivariable Ackermann function	A(3,17178) 	A(3,17179)
BEAF & Bird's array notation 	{10,5172} (exact) 	{10,5172} (exact)
Hyper-E notation 	E5172 (exact) 	E5172 (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)(1612) 	m(1)(1613)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17166)\) 	\(f_2(17167)\)
Hardy hierarchy 	\(H_{\omega^2}(17166)\) 	\(H_{\omega^2}(17167)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2+\omega 7+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2+\omega 7+2}}(10)\) (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