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40813418832048 = 2432319142790957
BaseRepresentation
bin10010100011110100111010…
…10101001110000010110000
312100111201120022222001022200
421101322131111032002300
520322141340210111143
6222445231544503200
711411446365041052
oct1121723525160260
9170451508861280
1040813418832048
1112005967a21a05
1246b1ab747ab00
1319a08c561c035
14a11546a738d2
154ab9b60e41d3
hex251e9d54e0b0

40813418832048 has 60 divisors (see below), whose sum is σ = 117905432194368. Its totient is φ = 13165618976640.

The previous prime is 40813418832041. The next prime is 40813418832083. The reversal of 40813418832048 is 84023881431804.

40813418832048 is a `hidden beast` number, since 4 + 0 + 8 + 13 + 418 + 8 + 3 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40813418831985 and 40813418832003.

It is not an unprimeable number, because it can be changed into a prime (40813418832041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4571391015 + ... + 4571399942.

Almost surely, 240813418832048 is an apocalyptic number.

40813418832048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40813418832048 is an abundant number, since it is smaller than the sum of its proper divisors (77092013362320).

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

40813418832048 is a wasteful number, since it uses less digits than its factorization.

40813418832048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142791002 (or 9142790993 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 40813418832048 in words is "forty trillion, eight hundred thirteen billion, four hundred eighteen million, eight hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9142790957 18285581914 27428372871 36571163828 54856745742 73142327656 82285118613 109713491484 146284655312 164570237226 219426982968 283426519667 329140474452 438853965936 566853039334 658280948904 850279559001 1133706078668 1316561897808 1700559118002 2267412157336 2550838677003 3401118236004 4534824314672 5101677354006 6802236472008 10203354708012 13604472944016 20406709416024 40813418832048