Tredeciquadringentillion

A tredeciquadringentillion is equal to \(10^{1242}\) in the short scale and \(10^{2478}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 413th -illion number.
In the long scale, \(10^{1242}\) is called septenducentillion.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1242}\) (exact) 	\(1\times10^{1242}\) (exact)
Arrow notation 	\(10\uparrow 1242\) (exact) 	\(10\uparrow 1242\) (exact)
Steinhaus-Moser Notation 	465[3] 	466[3]
Chained arrow notation 	\(10\rightarrow 1242\) (exact) 	\(10\rightarrow 1242\) (exact)
Taro's multivariable Ackermann function	A(3,4122) 	A(3,4123)
BEAF & Bird's array notation 	{10,1242} (exact) 	{10,1242} (exact)
Hyper-E notation 	E1242 (exact) 	E1242 (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)(465) 	m(1)(466)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4113)\) 	\(f_2(4114)\)
Hardy hierarchy 	\(H_{\omega^2}(4113)\) 	\(H_{\omega^2}(4114)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 2+\omega 4+2}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 2+\omega 4+2}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{2478}\) (exact) 	\(1\times10^{2478}\) (exact)
Arrow notation 	\(10\uparrow 2478\) (exact) 	\(10\uparrow 2478\) (exact)
Steinhaus-Moser Notation 	846[3] 	847[3]
Chained arrow notation 	\(10\rightarrow 2478\) (exact) 	\(10\rightarrow 2478\) (exact)
Taro's multivariable Ackermann function	A(3,8228) 	A(3,8229)
BEAF & Bird's array notation 	{10,2478} (exact) 	{10,2478} (exact)
Hyper-E notation 	E2478 (exact) 	E2478 (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)(846) 	m(1)(847)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(8218)\) 	\(f_2(8219)\)
Hardy hierarchy 	\(H_{\omega^2}(8218)\) 	\(H_{\omega^2}(8219)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 7+8}}(10)\) (exact)	\(g_{\omega^{\omega^3 2+\omega^2 4+\omega 7+8}}(10)\) (exact)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Illion
Category:Numbers with 1000 to 1000000 digits
Category:Tier 1 -illion numbers