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23014441032 = 2331127925083
BaseRepresentation
bin10101011011110001…
…001000000001001000
32012101220201201221220
4111123301020001020
5334113144103112
614323411202040
71443214343502
oct253361100110
965356651856
1023014441032
119840063200
1245635a6320
13222a07725b
1411847aad72
158ea71398c
hex55bc48048

23014441032 has 48 divisors (see below), whose sum is σ = 63242170320. Its totient is φ = 6974072160.

The previous prime is 23014441031. The next prime is 23014441057.

23014441032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23014440993 and 23014441011.

It is not an unprimeable number, because it can be changed into a prime (23014441031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3959638 + ... + 3965445.

It is an arithmetic number, because the mean of its divisors is an integer number (1317545215).

Almost surely, 223014441032 is an apocalyptic number.

23014441032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23014441032 is an abundant number, since it is smaller than the sum of its proper divisors (40227729288).

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

23014441032 is a wasteful number, since it uses less digits than its factorization.

23014441032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925114 (or 7925099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 23014441032 in words is "twenty-three billion, fourteen million, four hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 7925083 15850166 23775249 31700332 47550498 63400664 87175913 95100996 174351826 190201992 261527739 348703652 523055478 697407304 958935043 1046110956 1917870086 2092221912 2876805129 3835740172 5753610258 7671480344 11507220516 23014441032