Search a number
-
+
14153136174 = 23217109424331
BaseRepresentation
bin11010010111001011…
…11011100000101110
31100112100121210220200
431023211323200232
5212441200324144
610300222454330
71010504446452
oct151345734056
940470553820
1014153136174
116003092761
1228aba343a6
1314472683b8
1498397a662
1557c7d1c69
hex34b97b82e

14153136174 has 48 divisors (see below), whose sum is σ = 32766917040. Its totient is φ = 4399453440.

The previous prime is 14153136169. The next prime is 14153136187. The reversal of 14153136174 is 47163135141.

14153136174 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 31 + 3 + 617 + 4 = 666.

It is a super-2 number, since 2×141531361742 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 178812 + ... + 245519.

It is an arithmetic number, because the mean of its divisors is an integer number (682644105).

Almost surely, 214153136174 is an apocalyptic number.

14153136174 is an abundant number, since it is smaller than the sum of its proper divisors (18613780866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14153136174 is a wasteful number, since it uses less digits than its factorization.

14153136174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424465 (or 424462 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 14153136174 in words is "fourteen billion, one hundred fifty-three million, one hundred thirty-six thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1853 1962 3706 5559 11118 16677 33354 424331 848662 1272993 2545986 3818979 7213627 7637958 14427254 21640881 43281762 46252079 64922643 92504158 129845286 138756237 277512474 416268711 786285343 832537422 1572570686 2358856029 4717712058 7076568087 14153136174