Tredecioctingentillion

A tredecioctingentillion is equal to \(10^{2442}\) in the short scale and \(10^{4878}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 813th -illion number.
In the long scale, \(10^{2442}\) is called septenquadringentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2442}\) (exact) 	\(1\times10^{2442}\) (exact)
Arrow notation 	\(10\uparrow 2442\) (exact) 	\(10\uparrow 2442\) (exact)
Steinhaus-Moser Notation 	835[3] 	836[3]
Chained arrow notation 	\(10\rightarrow 2442\) (exact) 	\(10\rightarrow 2442\) (exact)
Taro's multivariable Ackermann function	A(3,8109) 	A(3,8110)
BEAF & Bird's array notation 	{10,2442} (exact) 	{10,2442} (exact)
Hyper-E notation 	E2442 (exact) 	E2442 (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)(835) 	m(1)(836)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8099)\) 	\(f_2(8100)\)
Hardy hierarchy 	\(H_{\omega^2}(8099)\) 	\(H_{\omega^2}(8100)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{4878}\) (exact) 	\(1\times10^{4878}\) (exact)
Arrow notation 	\(10\uparrow 4878\) (exact) 	\(10\uparrow 4878\) (exact)
Steinhaus-Moser Notation 	1531[3] 	1532[3]
Chained arrow notation 	\(10\rightarrow 4878\) (exact) 	\(10\rightarrow 4878\) (exact)
Taro's multivariable Ackermann function	A(3,16201) 	A(3,16202)
BEAF & Bird's array notation 	{10,4878} (exact) 	{10,4878} (exact)
Hyper-E notation 	E4878 (exact) 	E4878 (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)(1531) 	m(1)(1532)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(16190)\) 	\(f_2(16191)\)
Hardy hierarchy 	\(H_{\omega^2}(16190)\) 	\(H_{\omega^2}(16191)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 4+\omega^2 8+\omega 7+8}}(10)\) (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