Duoseptuagintacentillion

A duoseptuagintacentillion is equal to \(10^{519}\) in the short scale and \(10^{1032}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 172nd -illion number.
In the long scale, \(10^{519}\) is called sexoctogintilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{519}\) (exact) 	\(1\times10^{519}\) (exact)
Arrow notation 	\(10\uparrow 519\) (exact) 	\(10\uparrow 519\) (exact)
Steinhaus-Moser Notation 	221[3] 	222[3]
Chained arrow notation 	\(10\rightarrow 519\) (exact) 	\(10\rightarrow 519\) (exact)
Taro's multivariable Ackermann function	A(3,1721) 	A(3,1722)
BEAF & Bird's array notation 	{10,519} (exact) 	{10,519} (exact)
Hyper-E notation 	E519 (exact) 	E519 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(7)\) 	\(s(1)^3(\lambda x.x+1)(8)\)
m(n) map 	m(1)(221) 	m(1)(222)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[10] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[11]
Fast-growing hierarchy 	\(f_2(1713)\) 	\(f_2(1714)\)
Hardy hierarchy 	\(H_{\omega^2}(1713)\) 	\(H_{\omega^2}(1714)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 5+\omega+9}}(10)\) (exact)	\(g_{\omega^{\omega^2 5+\omega+9}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1032}\) (exact) 	\(1\times10^{1032}\) (exact)
Arrow notation 	\(10\uparrow 1032\) (exact) 	\(10\uparrow 1032\) (exact)
Steinhaus-Moser Notation 	397[3] 	398[3]
Chained arrow notation 	\(10\rightarrow 1032\) (exact) 	\(10\rightarrow 1032\) (exact)
Taro's multivariable Ackermann function	A(3,3425) 	A(3,3426)
BEAF & Bird's array notation 	{10,1032} (exact) 	{10,1032} (exact)
Hyper-E notation 	E1032 (exact) 	E1032 (exact)
s(n) map 	\(s(1)^3(\lambda x.x+1)(8)\) 	\(s(1)^3(\lambda x.x+1)(9)\)
m(n) map 	m(1)(397) 	m(1)(398)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(3416)\) 	\(f_2(3417)\)
Hardy hierarchy 	\(H_{\omega^2}(3416)\) 	\(H_{\omega^2}(3417)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega 3+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega 3+2}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Tier 1 -illion numbers
Category:Powers of 10 with squarefree exponent