Search a number
-
+
40431318564 = 22371337025017
BaseRepresentation
bin100101101001111001…
…001111011000100100
310212100201122210100010
4211221321033120210
51130300404143224
630323543250220
72630632352220
oct455171173044
9125321583303
1040431318564
111616847506a
127a04449970
133a7453b050
141d579a5780
1510b97d4e29
hex969e4f624

40431318564 has 48 divisors (see below), whose sum is σ = 116110456448. Its totient is φ = 10663204608.

The previous prime is 40431318563. The next prime is 40431318593. The reversal of 40431318564 is 46581313404.

It is a happy number.

40431318564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40431318563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18511417 + ... + 18513600.

Almost surely, 240431318564 is an apocalyptic number.

It is an amenable number.

40431318564 is an abundant number, since it is smaller than the sum of its proper divisors (75679137884).

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

40431318564 is a wasteful number, since it uses less digits than its factorization.

40431318564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37025044 (or 37025042 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 40431318564 in words is "forty billion, four hundred thirty-one million, three hundred eighteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 37025017 74050034 111075051 148100068 222150102 259175119 444300204 481325221 518350238 777525357 962650442 1036700476 1443975663 1555050714 1925300884 2887951326 3110101428 3369276547 5775902652 6738553094 10107829641 13477106188 20215659282 40431318564