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41137147135 = 5722931118617
BaseRepresentation
bin100110010011111101…
…110000110011111111
310221011220210121010001
4212103331300303333
51133222102202020
630521555455131
72654262660400
oct462375606377
9127156717101
1041137147135
111649a935567
127b808b74a7
133b5783b3a6
141dc36199a7
15110b75950a
hex993f70cff

41137147135 has 48 divisors (see below), whose sum is σ = 59598452160. Its totient is φ = 27146595840.

The previous prime is 41137147123. The next prime is 41137147153. The reversal of 41137147135 is 53174173114.

It is a de Polignac number, because none of the positive numbers 2k-41137147135 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41137147094 and 41137147103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200347 + ... + 2218963.

It is an arithmetic number, because the mean of its divisors is an integer number (1241634420).

Almost surely, 241137147135 is an apocalyptic number.

41137147135 is a deficient number, since it is larger than the sum of its proper divisors (18461305025).

41137147135 is a wasteful number, since it uses less digits than its factorization.

41137147135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18976 (or 18969 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The spelling of 41137147135 in words is "forty-one billion, one hundred thirty-seven million, one hundred forty-seven thousand, one hundred thirty-five".

Divisors: 1 5 7 29 35 49 145 203 245 311 1015 1421 1555 2177 7105 9019 10885 15239 18617 45095 63133 76195 93085 130319 315665 441931 539893 651595 912233 2209655 2699465 3779251 4561165 5789887 18896255 26454757 28949435 40529209 132273785 167906723 202646045 283704463 839533615 1175347061 1418522315 5876735305 8227429427 41137147135