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40803813611424 = 25321031375533091
BaseRepresentation
bin10010100011100011000001…
…10100001101011110100000
312100110210202221001021200200
421101301200310031132200
520322012202241031144
6222441002503345200
711410656353025303
oct1121614064153640
9170423687037620
1040803813611424
1112001889037546
1246b0076752200
13199ca24665b36
14a10cb5116b3a
154ab602c17c69
hex251c60d0d7a0

40803813611424 has 72 divisors (see below), whose sum is σ = 117162406644192. Its totient is φ = 13469220017280.

The previous prime is 40803813611399. The next prime is 40803813611447. The reversal of 40803813611424 is 42411631830804.

40803813611424 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 3 + 8 + 1 + 3 + 611 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40803813611424.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 687736882 + ... + 687796209.

It is an arithmetic number, because the mean of its divisors is an integer number (1627255647836).

Almost surely, 240803813611424 is an apocalyptic number.

It is an amenable number.

40803813611424 is an abundant number, since it is smaller than the sum of its proper divisors (76358593032768).

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

40803813611424 is a wasteful number, since it uses less digits than its factorization.

40803813611424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375533210 (or 1375533199 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40803813611424 in words is "forty trillion, eight hundred three billion, eight hundred thirteen million, six hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 206 288 309 412 618 824 927 1236 1648 1854 2472 3296 3708 4944 7416 9888 14832 29664 1375533091 2751066182 4126599273 5502132364 8253198546 11004264728 12379797819 16506397092 22008529456 24759595638 33012794184 44017058912 49519191276 66025588368 99038382552 132051176736 141679908373 198076765104 283359816746 396153530208 425039725119 566719633492 850079450238 1133439266984 1275119175357 1700158900476 2266878533968 2550238350714 3400317800952 4533757067936 5100476701428 6800635601904 10200953402856 13601271203808 20401906805712 40803813611424