Tredeciducentillion

A tredeciducentillion is equal to \(10^{642}\) in the short scale and \(10^{1278}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 213th -illion number.
In the long scale, \(10^{642}\) is called septencentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{642}\) (exact) 	\(1\times10^{642}\) (exact)
Arrow notation 	\(10\uparrow 642\) (exact) 	\(10\uparrow 642\) (exact)
Steinhaus-Moser Notation 	264[3] 	265[3]
Chained arrow notation 	\(10\rightarrow 642\) (exact) 	\(10\rightarrow 642\) (exact)
Taro's multivariable Ackermann function	A(3,2129) 	A(3,2130)
BEAF & Bird's array notation 	{10,642} (exact) 	{10,642} (exact)
Hyper-E notation 	E642 (exact) 	E642 (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)(264) 	m(1)(265)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[17] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[18]
Fast-growing hierarchy 	\(f_2(2121)\) 	\(f_2(2122)\)
Hardy hierarchy 	\(H_{\omega^2}(2121)\) 	\(H_{\omega^2}(2122)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 6+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^2 6+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1278}\) (exact) 	\(1\times10^{1278}\) (exact)
Arrow notation 	\(10\uparrow 1278\) (exact) 	\(10\uparrow 1278\) (exact)
Steinhaus-Moser Notation 	477[3] 	478[3]
Chained arrow notation 	\(10\rightarrow 1278\) (exact) 	\(10\rightarrow 1278\) (exact)
Taro's multivariable Ackermann function	A(3,4242) 	A(3,4243)
BEAF & Bird's array notation 	{10,1278} (exact) 	{10,1278} (exact)
Hyper-E notation 	E1278 (exact) 	E1278 (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)(477) 	m(1)(478)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4233)\) 	\(f_2(4234)\)
Hardy hierarchy 	\(H_{\omega^2}(4233)\) 	\(H_{\omega^2}(4234)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 7+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 101 to 999 digits
Category:Powers of 10 with squarefree exponent
Category:Tier 1 -illion numbers