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14038128765 = 335562318493
BaseRepresentation
bin11010001001011110…
…01101100001111101
31100020100012211102000
431010233031201331
5212222230110030
610240553452513
71004610061053
oct150457154175
940210184360
1014038128765
115a54180a11
122879411139
13142949ba8b
149725a01d3
15572665860
hex344bcd87d

14038128765 has 32 divisors (see below), whose sum is σ = 24962461440. Its totient is φ = 7485265728.

The previous prime is 14038128763. The next prime is 14038128787. The reversal of 14038128765 is 56782183041.

It is not a de Polignac number, because 14038128765 - 21 = 14038128763 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14038128765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14038128761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749859 + ... + 768351.

It is an arithmetic number, because the mean of its divisors is an integer number (780076920).

Almost surely, 214038128765 is an apocalyptic number.

14038128765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14038128765 is a deficient number, since it is larger than the sum of its proper divisors (10924332675).

14038128765 is a wasteful number, since it uses less digits than its factorization.

14038128765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24130 (or 24124 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 14038128765 in words is "fourteen billion, thirty-eight million, one hundred twenty-eight thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 5623 16869 18493 28115 50607 55479 84345 92465 151821 166437 253035 277395 499311 759105 832185 2496555 103986139 311958417 519930695 935875251 1559792085 2807625753 4679376255 14038128765