Tredeciquingentillion

A tredeciquingentillion is equal to \(10^{1542}\) in the short scale and \(10^{3078}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 513th -illion number.
In the long scale, \(10^{1542}\) is called septenquinquagintaducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1542}\) (exact) 	\(1\times10^{1542}\) (exact)
Arrow notation 	\(10\uparrow 1542\) (exact) 	\(10\uparrow 1542\) (exact)
Steinhaus-Moser Notation 	560[3] 	561[3]
Chained arrow notation 	\(10\rightarrow 1542\) (exact) 	\(10\rightarrow 1542\) (exact)
Taro's multivariable Ackermann function	A(3,5119) 	A(3,5120)
BEAF & Bird's array notation 	{10,1542} (exact) 	{10,1542} (exact)
Hyper-E notation 	E1542 (exact) 	E1542 (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)(560) 	m(1)(561)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(5110)\) 	\(f_2(5111)\)
Hardy hierarchy 	\(H_{\omega^2}(5110)\) 	\(H_{\omega^2}(5111)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 5+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{3078}\) (exact) 	\(1\times10^{3078}\) (exact)
Arrow notation 	\(10\uparrow 3078\) (exact) 	\(10\uparrow 3078\) (exact)
Steinhaus-Moser Notation 	1022[3] 	1023[3]
Chained arrow notation 	\(10\rightarrow 3078\) (exact) 	\(10\rightarrow 3078\) (exact)
Taro's multivariable Ackermann function	A(3,10221) 	A(3,10222)
BEAF & Bird's array notation 	{10,3078} (exact) 	{10,3078} (exact)
Hyper-E notation 	E3078 (exact) 	E3078 (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)(1022) 	m(1)(1023)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(10211)\) 	\(f_2(10212)\)
Hardy hierarchy 	\(H_{\omega^2}(10211)\) 	\(H_{\omega^2}(10212)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 3+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 3+\omega 7+8}}(10)\) (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