Ninety-nines

Ninety-nines is equal to \(9 \lfloor 10^{90} / 9\rfloor = 10^{90} - 1\), or 90 copies of 9:
: or metamathematically with interior superscription as \(9^{88}9\)
It is exactly googol/dialogue - 1, or one novemvigintillion - 1.
Its prime factorization is 34 × 7 × 11 × 13 × 19 × 31 × 37 × 41 × 211 × 241 × 271 × 2,161 × 9,091 × 29,611 × 52,579 × 238,681 × 333,667 × 2,906,161 × 3,762,091 × 8,985,695,684,401 × 4,185,502,830,133,110,721.
== Approximations ==
Notation 	Lower bound 	Upper bound
Scientific notation 	\(9.999\times10^{89}\) 	\(1\times10^{90}\)
Arrow notation 	\(111\uparrow44\) 	\(10\uparrow90\)
Steinhaus-Moser Notation 	52[3] 	53[3]
Copy notation 	9[90] 	9[90]
Taro's multivariable Ackermann function	A(3,295) 	A(3,296)
Pound-Star Notation 	#*(2,12,2,8,4,3)*10 	#*(1,3,7,7,2,2,10)*7
BEAF 	{111,44} 	{10,90}
Hyper-E notation 	9E89 	E90
Bashicu matrix system 	(0)(0)(0)(0)(0)[649] 	(0)(0)(0)(0)(0)[650]
Hyperfactorial array notation 	64! 	65!
Fast-growing hierarchy 	\(f_2(290)\) 	\(f_2(291)\)
Hardy hierarchy 	\(H_{\omega^2}(290)\) 	\(H_{\omega^2}(291)\)
Slow-growing hierarchy 	\(g_{\omega^{\omega^2+\omega+4}2}(9)\)	\(g_{\omega^{\omega9}}(10)\)
== Sources ==
== See also ==
Category:Numbers
Category:Class 2
Category:Repdigit numbers
Category:Numbers by André Joyce
Category:Numbers with 30 to 100 digits
Category:Odd-abundant numbers