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23312372940 = 2233543171061
BaseRepresentation
bin10101101101100001…
…101001010011001100
32020011200100020201000
4111231201221103030
5340220431413230
614413133020300
71453462620603
oct255541512314
966150306630
1023312372940
11998325491a
124627324690
1322769cc91c
1411b21a2a3a
15916964b60
hex56d8694cc

23312372940 has 48 divisors (see below), whose sum is σ = 72527384160. Its totient is φ = 6216632640.

The previous prime is 23312372927. The next prime is 23312372977. The reversal of 23312372940 is 4927321332.

23312372940 is a `hidden beast` number, since 2 + 331 + 2 + 37 + 294 + 0 = 666.

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 = 23312372895 and 23312372904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21584991 + ... + 21586070.

It is an arithmetic number, because the mean of its divisors is an integer number (1510987170).

Almost surely, 223312372940 is an apocalyptic number.

23312372940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23312372940 is an abundant number, since it is smaller than the sum of its proper divisors (49215011220).

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

23312372940 is a wasteful number, since it uses less digits than its factorization.

23312372940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43171079 (or 43171071 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23312372940 in words is "twenty-three billion, three hundred twelve million, three hundred seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 43171061 86342122 129513183 172684244 215855305 259026366 388539549 431710610 518052732 647565915 777079098 863421220 1165618647 1295131830 1554158196 1942697745 2331237294 2590263660 3885395490 4662474588 5828093235 7770790980 11656186470 23312372940