Duoseptingentillion

A duoseptingentillion is equal to \(10^{2109}\) in the short scale and \(10^{4212}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 702nd -illion number.
In the long scale, \(10^{2109}\) is called unquinquagintatrecentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2109}\) (exact) 	\(1\times10^{2109}\) (exact)
Arrow notation 	\(10\uparrow 2109\) (exact) 	\(10\uparrow 2109\) (exact)
Steinhaus-Moser Notation 	735[3] 	736[3]
Chained arrow notation 	\(10\rightarrow 2109\) (exact) 	\(10\rightarrow 2109\) (exact)
Taro's multivariable Ackermann function	A(3,7002) 	A(3,7003)
BEAF & Bird's array notation 	{10,2109} (exact) 	{10,2109} (exact)
Hyper-E notation 	E2109 (exact) 	E2109 (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)(735) 	m(1)(736)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(6993)\) 	\(f_2(6994)\)
Hardy hierarchy 	\(H_{\omega^2}(6993)\) 	\(H_{\omega^2}(6994)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2+9}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4212}\) (exact) 	\(1\times10^{4212}\) (exact)
Arrow notation 	\(10\uparrow 4212\) (exact) 	\(10\uparrow 4212\) (exact)
Steinhaus-Moser Notation 	1346[3] 	1347[3]
Chained arrow notation 	\(10\rightarrow 4212\) (exact) 	\(10\rightarrow 4212\) (exact)
Taro's multivariable Ackermann function	A(3,13988) 	A(3,13989)
BEAF & Bird's array notation 	{10,4212} (exact) 	{10,4212} (exact)
Hyper-E notation 	E4212 (exact) 	E4212 (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)(1346) 	m(1)(1347)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(13978)\) 	\(f_2(13979)\)
Hardy hierarchy 	\(H_{\omega^2}(13978)\) 	\(H_{\omega^2}(13979)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 2+\omega+2}}(10)\) (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