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40807490445 = 33519234116871
BaseRepresentation
bin100110000000010100…
…001110001110001101
310220022221111022011000
4212000110032032031
51132033204143240
630425142050513
72643150642231
oct460024161615
9126287438130
1040807490445
1116340845617
127aaa419a39
133b04458967
141d919265c1
1510dc83d430
hex98050e38d

40807490445 has 128 divisors (see below), whose sum is σ = 81633484800. Its totient is φ = 19239897600.

The previous prime is 40807490377. The next prime is 40807490461. The reversal of 40807490445 is 54409470804.

40807490445 is a `hidden beast` number, since 40 + 80 + 7 + 4 + 90 + 445 = 666.

It is not a de Polignac number, because 40807490445 - 216 = 40807424909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40807490445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2410360 + ... + 2427230.

It is an arithmetic number, because the mean of its divisors is an integer number (637761600).

Almost surely, 240807490445 is an apocalyptic number.

40807490445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40807490445 is an abundant number, since it is smaller than the sum of its proper divisors (40825994355).

40807490445 is a wasteful number, since it uses less digits than its factorization.

40807490445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16968 (or 16962 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40807490445 in words is "forty billion, eight hundred seven million, four hundred ninety thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 19 23 27 41 45 57 69 95 115 123 135 171 205 207 285 345 369 437 513 615 621 779 855 943 1035 1107 1311 1845 2185 2337 2565 2829 3105 3895 3933 4715 5535 6555 7011 8487 11685 11799 14145 16871 17917 19665 21033 25461 35055 42435 50613 53751 58995 84355 89585 105165 127305 151839 161253 253065 268755 320549 388033 455517 483759 691711 759195 806265 961647 1164099 1602745 1940165 2075133 2277585 2418795 2884941 3458555 3492297 4808235 5820495 6225399 7372627 8654823 10375665 10476891 13142509 14424705 15909353 17461485 18676197 22117881 31126995 36863135 39427527 43274115 47728059 52384455 65712545 66353643 79546765 93380985 110589405 118282581 143184177 197137635 199060929 238640295 302277707 331768215 354847743 429552531 591412905 715920885 906833121 995304645 1511388535 1774238715 2147762655 2720499363 4534165605 8161498089 13602496815 40807490445