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42402313431 = 362919110501
BaseRepresentation
bin100111011111010111…
…111111010011010111
311001110002102201000000
4213133113333103113
51143314443012211
631251312422343
73030524501022
oct473727772327
9131402381000
1042402313431
1116a8a000745
1282745479b3
133cc999b1ba
1420a36701b9
151182868656
hex9df5ff4d7

42402313431 has 56 divisors (see below), whose sum is σ = 66117231360. Its totient is φ = 27147960000.

The previous prime is 42402313411. The next prime is 42402313451. The reversal of 42402313431 is 13431320424.

42402313431 is a `hidden beast` number, since 424 + 0 + 231 + 3 + 4 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42402313411) and next prime (42402313451).

It is not a de Polignac number, because 42402313431 - 25 = 42402313399 is a prime.

It is a super-2 number, since 2×424023134312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42402313395 and 42402313404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402313411) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4032681 + ... + 4043181.

Almost surely, 242402313431 is an apocalyptic number.

42402313431 is a deficient number, since it is larger than the sum of its proper divisors (23714917929).

42402313431 is a wasteful number, since it uses less digits than its factorization.

42402313431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10739 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 42402313431 its reverse (13431320424), we get a palindrome (55833633855).

The spelling of 42402313431 in words is "forty-two billion, four hundred two million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 81 87 191 243 261 573 729 783 1719 2349 5157 5539 7047 10501 15471 16617 21141 31503 46413 49851 94509 139239 149553 283527 304529 448659 850581 913587 1345977 2005691 2551743 2740761 4037931 6017073 7655229 8222283 18051219 24666849 54153657 58165039 74000547 162460971 174495117 222001641 487382913 523485351 1462148739 1570456053 4711368159 14134104477 42402313431