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34013542013 = 1121728311719
BaseRepresentation
bin11111101011010111…
…010111011001111101
310020210110110221222022
4133223113113121331
51024124431321023
623343044125525
72312613223343
oct375327273175
9106713427868
1034013542013
1113474837600
1267130968a5
133290a48629
1419094c5993
15d411767c8
hex7eb5d767d

34013542013 has 36 divisors (see below), whose sum is σ = 40197302880. Its totient is φ = 28749409920.

The previous prime is 34013541983. The next prime is 34013542033. The reversal of 34013542013 is 31024531043.

It is not a de Polignac number, because 34013542013 - 214 = 34013525629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013542033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2896568 + ... + 2908286.

Almost surely, 234013542013 is an apocalyptic number.

It is an amenable number.

34013542013 is a deficient number, since it is larger than the sum of its proper divisors (6183760867).

34013542013 is a wasteful number, since it uses less digits than its factorization.

34013542013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11858 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 34013542013 in words is "thirty-four billion, thirteen million, five hundred forty-two thousand, thirteen".

Divisors: 1 11 17 83 121 187 289 913 1411 2057 3179 10043 11719 15521 23987 34969 128909 170731 199223 263857 972677 1417999 2191453 2902427 3386791 10699447 16535509 24105983 37254701 117693917 181890599 281103653 409801711 2000796589 3092140183 34013542013