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123314750244 = 2236729292
BaseRepresentation
bin111001011011000100…
…0011100001100100100
3102210022000110101000000
41302312020130030210
54010022034001434
6132352223021300
711623566040200
oct1626610341444
9383260411000
10123314750244
114832aa64034
121ba95a3a830
13b822b6244a
145d7b681b00
15331aebdb99
hex1cb621c324

123314750244 has 189 divisors, whose sum is σ = 376783800897. Its totient is φ = 35194860288.

The previous prime is 123314750231. The next prime is 123314750269. The reversal of 123314750244 is 442057413321.

The square root of 123314750244 is 351162.

It is a perfect power (a square), and thus also a powerful number.

123314750244 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 147 + 502 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2377732644 + 120937017600 = 48762^2 + 347760^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123314750199 and 123314750208.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 132738772 + ... + 132739700.

Almost surely, 2123314750244 is an apocalyptic number.

123314750244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

123314750244 is the 351162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123314750244

123314750244 is an abundant number, since it is smaller than the sum of its proper divisors (253469050653).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123314750244 is an frugal number, since it uses more digits than its factorization.

123314750244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 123314750244 by its sum of digits (36), we get a square (4439331008784 = 21069722).

123314750244 divided by its sum of digits (36) gives a square (3425409729 = 585272).

The spelling of 123314750244 in words is "one hundred twenty-three billion, three hundred fourteen million, seven hundred fifty thousand, two hundred forty-four".