Search a number
-
+
40103022537 = 3312750323251
BaseRepresentation
bin100101010110010100…
…111000111111001001
310211111211220121212000
4211112110320333021
51124112333210122
630231214541213
72616535032024
oct452624707711
9124454817760
1040103022537
111600a124436
127932507809
133a21513a46
141d261481bb
15109aa870ac
hex956538fc9

40103022537 has 32 divisors (see below), whose sum is σ = 60001320960. Its totient is φ = 26470962000.

The previous prime is 40103022517. The next prime is 40103022587. The reversal of 40103022537 is 73522030104.

40103022537 is a `hidden beast` number, since 4 + 0 + 103 + 0 + 22 + 537 = 666.

It is a de Polignac number, because none of the positive numbers 2k-40103022537 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40103022537.

It is not an unprimeable number, because it can be changed into a prime (40103022517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1713162 + ... + 1736412.

It is an arithmetic number, because the mean of its divisors is an integer number (1875041280).

Almost surely, 240103022537 is an apocalyptic number.

It is an amenable number.

40103022537 is a deficient number, since it is larger than the sum of its proper divisors (19898298423).

40103022537 is a wasteful number, since it uses less digits than its factorization.

40103022537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23890 (or 23884 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 40103022537 in words is "forty billion, one hundred three million, twenty-two thousand, five hundred thirty-seven".

Divisors: 1 3 9 27 127 381 503 1143 1509 3429 4527 13581 23251 63881 69753 191643 209259 574929 627777 1724787 2952877 8858631 11695253 26575893 35085759 79727679 105257277 315771831 1485297131 4455891393 13367674179 40103022537