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431725138542 = 23419913391809
BaseRepresentation
bin1100100100001001101…
…00101101001001101110
31112021100200000101120000
412102010310231021232
524033133113413132
6530155400005130
743122360062205
oct6220464551156
91467320011500
10431725138542
11157103649565
126b807a607a6
1331933241c79
1416c7779823c
15b36bbde87c
hex6484d2d26e

431725138542 has 40 divisors (see below), whose sum is σ = 972245406000. Its totient is φ = 143185211136.

The previous prime is 431725138513. The next prime is 431725138571. The reversal of 431725138542 is 245831527134.

431725138542 is a `hidden beast` number, since 4 + 3 + 1 + 72 + 5 + 1 + 38 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (431725138513) and next prime (431725138571).

It is a super-3 number, since 3×4317251385423 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6663667 + ... + 6728142.

It is an arithmetic number, because the mean of its divisors is an integer number (24306135150).

Almost surely, 2431725138542 is an apocalyptic number.

431725138542 is an abundant number, since it is smaller than the sum of its proper divisors (540520267458).

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

431725138542 is a wasteful number, since it uses less digits than its factorization.

431725138542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392022 (or 13392013 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 431725138542 in words is "four hundred thirty-one billion, seven hundred twenty-five million, one hundred thirty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 199 398 597 1194 1791 3582 5373 10746 16119 32238 13391809 26783618 40175427 80350854 120526281 241052562 361578843 723157686 1084736529 2169473058 2664969991 5329939982 7994909973 15989819946 23984729919 47969459838 71954189757 143908379514 215862569271 431725138542