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431290695940 = 225131658810369
BaseRepresentation
bin1100100011010101110…
…11011100000100000100
31112020020101112102100021
412101222323130010010
524031240404232230
6530044320224524
743105533266536
oct6215273340404
91466211472307
10431290695940
11156a00399395
126b70646b144
1331894231540
1416c35bc9856
15b3439c5c7a
hex646aedc104

431290695940 has 24 divisors (see below), whose sum is σ = 975380497560. Its totient is φ = 159245795328.

The previous prime is 431290695937. The next prime is 431290695943. The reversal of 431290695940 is 49596092134.

It is an interprime number because it is at equal distance from previous prime (431290695937) and next prime (431290695943).

It can be written as a sum of positive squares in 4 ways, for example, as 10787730496 + 420502965444 = 103864^2 + 648462^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (431290695943) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 829404925 + ... + 829405444.

It is an arithmetic number, because the mean of its divisors is an integer number (40640854065).

Almost surely, 2431290695940 is an apocalyptic number.

It is an amenable number.

431290695940 is an abundant number, since it is smaller than the sum of its proper divisors (544089801620).

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

431290695940 is a wasteful number, since it uses less digits than its factorization.

431290695940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658810391 (or 1658810389 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 431290695940 in words is "four hundred thirty-one billion, two hundred ninety million, six hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1658810369 3317620738 6635241476 8294051845 16588103690 21564534797 33176207380 43129069594 86258139188 107822673985 215645347970 431290695940