Search a number
-
+
5040421311135 = 357192526526973
BaseRepresentation
bin100100101011001000010…
…0001011001001010011111
3122211212012121221111010210
41021112100201121022133
51130040240323424020
614415312041303503
71030105224144240
oct111262041311237
918755177844123
105040421311135
1116736a3476921
12694a4aa94b93
132a740450a252
14135d59ca4cc7
158b1a61cb3e0
hex4959085929f

5040421311135 has 32 divisors (see below), whose sum is σ = 9701863580160. Its totient is φ = 2182919303808.

The previous prime is 5040421311127. The next prime is 5040421311143. The reversal of 5040421311135 is 5311131240405.

It is an interprime number because it is at equal distance from previous prime (5040421311127) and next prime (5040421311143).

It is not a de Polignac number, because 5040421311135 - 23 = 5040421311127 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 1263261492 + ... + 1263265481.

It is an arithmetic number, because the mean of its divisors is an integer number (303183236880).

Almost surely, 25040421311135 is an apocalyptic number.

5040421311135 is a deficient number, since it is larger than the sum of its proper divisors (4661442269025).

5040421311135 is a wasteful number, since it uses less digits than its factorization.

5040421311135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526527007.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 5040421311135 in words is "five trillion, forty billion, four hundred twenty-one million, three hundred eleven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 57 95 105 133 285 399 665 1995 2526526973 7579580919 12632634865 17685688811 37897904595 48004012487 53057066433 88428444055 144012037461 240020062435 265285332165 336028087409 720060187305 1008084262227 1680140437045 5040421311135