Quattuortrigintaducentillion

A quattuortrigintaducentillion is equal to \(10^{705}\) in the short scale and \(10^{1404}\) in the long scale by the and 's naming systemConway and Guy. (1995) "The book of Numbers" Copernicus as it is the 234th -illion number.
In the long scale, \(10^{705}\) is called septendecicentilliard.
==Approximations==
For the short scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{705}\) (exact) 	\(1\times10^{705}\) (exact)
Arrow notation 	\(10\uparrow 705\) (exact) 	\(10\uparrow 705\) (exact)
Steinhaus-Moser Notation 	286[3] 	287[3]
Chained arrow notation 	\(10\rightarrow 705\) (exact) 	\(10\rightarrow 705\) (exact)
Taro's multivariable Ackermann function	A(3,2338) 	A(3,2339)
BEAF & Bird's array notation 	{10,705} (exact) 	{10,705} (exact)
Hyper-E notation 	E705 (exact) 	E705 (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)(286) 	m(1)(287)
Bashicu matrix system 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[23] 	(0)(0)(0)(0)(0)(0)(0)(0)(0)[24]
Fast-growing hierarchy 	\(f_2(2330)\) 	\(f_2(2331)\)
Hardy hierarchy 	\(H_{\omega^2}(2330)\) 	\(H_{\omega^2}(2331)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2 7+5}}(10)\) (exact)	\(g_{\omega^{\omega^2 7+5}}(10)\) (exact)
For the long scale:
Notation 	Lower bound 	Upper bound
Scientific notation 	\(1\times10^{1404}\) (exact) 	\(1\times10^{1404}\) (exact)
Arrow notation 	\(10\uparrow 1404\) (exact) 	\(10\uparrow 1404\) (exact)
Steinhaus-Moser Notation 	517[3] 	518[3]
Chained arrow notation 	\(10\rightarrow 1404\) (exact) 	\(10\rightarrow 1404\) (exact)
Taro's multivariable Ackermann function	A(3,4660) 	A(3,4661)
BEAF & Bird's array notation 	{10,1404} (exact) 	{10,1404} (exact)
Hyper-E notation 	E1404 (exact) 	E1404 (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)(517) 	m(1)(518)
Bashicu matrix system 	(0)(1)[3] 	(0)(1)[4]
Fast-growing hierarchy 	\(f_2(4651)\) 	\(f_2(4652)\)
Hardy hierarchy 	\(H_{\omega^2}(4651)\) 	\(H_{\omega^2}(4652)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^3+\omega^2 4+4}}(10)\) (exact)	\(g_{\omega^{\omega^3+\omega^2 4+4}}(10)\) (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