Duooctogintaoctingentillion

A duooctogintaoctingentillion is equal to \(10^{2649}\) in the short scale and \(10^{5292}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 882nd -illion number.
In the long scale, \(10^{2649}\) is called unquadragintaquadringentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2649}\) (exact) 	\(1\times10^{2649}\) (exact)
Arrow notation 	\(10\uparrow 2649\) (exact) 	\(10\uparrow 2649\) (exact)
Steinhaus-Moser Notation 	897[3] 	898[3]
Chained arrow notation 	\(10\rightarrow 2649\) (exact) 	\(10\rightarrow 2649\) (exact)
Taro's multivariable Ackermann function	A(3,8796) 	A(3,8797)
BEAF & Bird's array notation 	{10,2649} (exact) 	{10,2649} (exact)
Hyper-E notation 	E2649 (exact) 	E2649 (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)(897) 	m(1)(898)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8786)\) 	\(f_2(8787)\)
Hardy hierarchy 	\(H_{\omega^2}(8786)\) 	\(H_{\omega^2}(8787)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 6+\omega 4+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{5292}\) (exact) 	\(1\times10^{5292}\) (exact)
Arrow notation 	\(10\uparrow 5292\) (exact) 	\(10\uparrow 5292\) (exact)
Steinhaus-Moser Notation 	1645[3] 	1646[3]
Chained arrow notation 	\(10\rightarrow 5292\) (exact) 	\(10\rightarrow 5292\) (exact)
Taro's multivariable Ackermann function	A(3,17576) 	A(3,17577)
BEAF & Bird's array notation 	{10,5292} (exact) 	{10,5292} (exact)
Hyper-E notation 	E5292 (exact) 	E5292 (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)(1645) 	m(1)(1646)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(17565)\) 	\(f_2(17566)\)
Hardy hierarchy 	\(H_{\omega^2}(17565)\) 	\(H_{\omega^2}(17566)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 5+\omega^2 2+\omega 9+2}}(10)\) (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