Duooctogintasescentillion

A duooctogintasescentillion is equal to \(10^{2049}\) in the short scale and \(10^{4092}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 682nd -illion number.
In the long scale, \(10^{2049}\) is called unquadragintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2049}\) (exact) 	\(1\times10^{2049}\) (exact)
Arrow notation 	\(10\uparrow 2049\) (exact) 	\(10\uparrow 2049\) (exact)
Steinhaus-Moser Notation 	717[3] 	718[3]
Chained arrow notation 	\(10\rightarrow 2049\) (exact) 	\(10\rightarrow 2049\) (exact)
Taro's multivariable Ackermann function	A(3,6803) 	A(3,6804)
BEAF & Bird's array notation 	{10,2049} (exact) 	{10,2049} (exact)
Hyper-E notation 	E2049 (exact) 	E2049 (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)(717) 	m(1)(718)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6793)\) 	\(f_2(6794)\)
Hardy hierarchy 	\(H_{\omega^2}(6793)\) 	\(H_{\omega^2}(6794)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega 4+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega 4+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4092}\) (exact) 	\(1\times10^{4092}\) (exact)
Arrow notation 	\(10\uparrow 4092\) (exact) 	\(10\uparrow 4092\) (exact)
Steinhaus-Moser Notation 	1312[3] 	1313[3]
Chained arrow notation 	\(10\rightarrow 4092\) (exact) 	\(10\rightarrow 4092\) (exact)
Taro's multivariable Ackermann function	A(3,13590) 	A(3,13591)
BEAF & Bird's array notation 	{10,4092} (exact) 	{10,4092} (exact)
Hyper-E notation 	E4092 (exact) 	E4092 (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)(1312) 	m(1)(1313)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13579)\) 	\(f_2(13580)\)
Hardy hierarchy 	\(H_{\omega^2}(13579)\) 	\(H_{\omega^2}(13580)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega 9+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega 9+2}}(10)\) (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