Search a number
-
+
40431537192897 = 3215597213399499
BaseRepresentation
bin10010011000101101100110…
…11010010111111111000001
312022011012212100021202220200
421030112303122113333001
520244412242010133042
6221553554115555413
711342040116465364
oct1114266332277701
9168135770252820
1040431537192897
1111978a11774254
12464ba9bbbbb69
1319738a68b3096
149dac7ad0c0db
154a1ab5183c4c
hex24c5b3697fc1

40431537192897 has 24 divisors (see below), whose sum is σ = 58446818040000. Its totient is φ = 26933266676448.

The previous prime is 40431537192881. The next prime is 40431537192911. The reversal of 40431537192897 is 79829173513404.

40431537192897 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 1 + 537 + 1 + 9 + 2 + 8 + 97 = 666.

It is not a de Polignac number, because 40431537192897 - 24 = 40431537192881 is a prime.

It is a super-2 number, since 2×404315371928972 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40431537192797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101005854 + ... + 101405352.

It is an arithmetic number, because the mean of its divisors is an integer number (2435284085000).

Almost surely, 240431537192897 is an apocalyptic number.

It is an amenable number.

40431537192897 is a deficient number, since it is larger than the sum of its proper divisors (18015280847103).

40431537192897 is a wasteful number, since it uses less digits than its factorization.

40431537192897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408277 (or 408274 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 40431537192897 in words is "forty trillion, four hundred thirty-one billion, five hundred thirty-seven million, one hundred ninety-two thousand, eight hundred ninety-seven".

Divisors: 1 3 9 1559 4677 7213 14031 21639 64917 399499 1198497 3595491 11245067 33735201 101205603 622818941 1868456823 2881586287 5605370469 8644758861 25934276583 4492393021433 13477179064299 40431537192897