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34053502431 = 3134320306203
BaseRepresentation
bin11111101101101111…
…110011010111011111
310020220020200011100210
4133231233303113133
51024220144034211
623351032423503
72313606665124
oct375557632737
9106806604323
1034053502431
1113495350443
126724547b93
1332990ca150
14191092874b
15d4491b9a6
hex7edbf35df

34053502431 has 16 divisors (see below), whose sum is σ = 50034486656. Its totient is φ = 20468651616.

The previous prime is 34053502429. The next prime is 34053502433. The reversal of 34053502431 is 13420535043.

It is an interprime number because it is at equal distance from previous prime (34053502429) and next prime (34053502433).

It is not a de Polignac number, because 34053502431 - 21 = 34053502429 is a prime.

It is a super-2 number, since 2×340535024312 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053502433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10151425 + ... + 10154778.

It is an arithmetic number, because the mean of its divisors is an integer number (3127155416).

Almost surely, 234053502431 is an apocalyptic number.

34053502431 is a deficient number, since it is larger than the sum of its proper divisors (15980984225).

34053502431 is a wasteful number, since it uses less digits than its factorization.

34053502431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20306262.

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 34053502431 in words is "thirty-four billion, fifty-three million, five hundred two thousand, four hundred thirty-one".

Divisors: 1 3 13 39 43 129 559 1677 20306203 60918609 263980639 791941917 873166729 2619500187 11351167477 34053502431