Search a number
-
+
41135162436 = 223210111313301
BaseRepresentation
bin100110010011110110…
…001100010001000100
310221011210001202121200
4212103312030101010
51133221100144221
630521445142500
72654240053164
oct462366142104
9127153052550
1041135162436
11164997aa415
127b800baa30
133b572c4c04
141dc32605a4
15110b4b6426
hex993d8c444

41135162436 has 36 divisors (see below), whose sum is σ = 105010069164. Its totient is φ = 13575960000.

The previous prime is 41135162417. The next prime is 41135162443. The reversal of 41135162436 is 63426153114.

41135162436 is a `hidden beast` number, since 4 + 113 + 51 + 62 + 436 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39728462400 + 1406700036 = 199320^2 + 37506^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×411351624362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41135162436.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5653015 + ... + 5660286.

Almost surely, 241135162436 is an apocalyptic number.

It is an amenable number.

41135162436 is an abundant number, since it is smaller than the sum of its proper divisors (63874906728).

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

41135162436 is a wasteful number, since it uses less digits than its factorization.

41135162436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11313412 (or 11313407 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 41135162436 in words is "forty-one billion, one hundred thirty-five million, one hundred sixty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 11313301 22626602 33939903 45253204 67879806 101819709 135759612 203639418 407278836 1142643401 2285286802 3427930203 4570573604 6855860406 10283790609 13711720812 20567581218 41135162436