Search a number
-
+
40157415045 = 32511177167213
BaseRepresentation
bin100101011001100100…
…011000011010000101
310211122122021001100100
4211121210120122011
51124220244240140
630240440434313
72621065252536
oct453144303205
9124578231310
1040157415045
11160378a5320
127948778999
133a2c879567
141d2d46668d
1510a072d530
hex959918685

40157415045 has 96 divisors (see below), whose sum is σ = 81534345984. Its totient is φ = 18066585600.

The previous prime is 40157415013. The next prime is 40157415049. The reversal of 40157415045 is 54051475104.

40157415045 is a `hidden beast` number, since 40 + 1 + 574 + 1 + 5 + 0 + 45 = 666.

It is not a de Polignac number, because 40157415045 - 25 = 40157415013 is a prime.

It is a super-2 number, since 2×401574150452 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157415049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563859 + ... + 631071.

It is an arithmetic number, because the mean of its divisors is an integer number (849316104).

Almost surely, 240157415045 is an apocalyptic number.

40157415045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40157415045 is an abundant number, since it is smaller than the sum of its proper divisors (41376930939).

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

40157415045 is a wasteful number, since it uses less digits than its factorization.

40157415045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67323 (or 67320 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 40157415045 in words is "forty billion, one hundred fifty-seven million, four hundred fifteen thousand, forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 71 85 99 153 165 187 213 255 355 495 561 639 765 781 935 1065 1207 1683 2343 2805 3195 3621 3905 6035 7029 8415 10863 11715 13277 18105 35145 39831 54315 66385 67213 119493 199155 201639 336065 597465 604917 739343 1008195 1142621 2218029 3024585 3427863 3696715 4772123 5713105 6654087 10283589 11090145 12568831 14316369 17139315 23860615 33270435 37706493 42949107 51417945 52493353 62844155 71581845 81126091 113119479 157480059 188532465 214745535 243378273 262466765 405630455 472440177 565597395 730134819 787400295 892387001 1216891365 2362200885 2677161003 3650674095 4461935005 8031483009 13385805015 40157415045