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40102872511932 = 22331931220336431
BaseRepresentation
bin10010001111001001011010…
…11110000111010110111100
312020222210112010201002011000
421013210231132013112330
520224021140330340212
6221143001051130300
711306223365005416
oct1107445536072674
9166883463632130
1040102872511932
111186159506497a
1245b8256a43990
13194b8b92423b9
149c8dbcc379b6
1549827b2161dc
hex24792d7875bc

40102872511932 has 144 divisors (see below), whose sum is σ = 113086831065600. Its totient is φ = 12255546175200.

The previous prime is 40102872511909. The next prime is 40102872511943. The reversal of 40102872511932 is 23911527820104.

40102872511932 is a `hidden beast` number, since 4 + 0 + 10 + 28 + 72 + 511 + 9 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8196244 + ... + 12140187.

Almost surely, 240102872511932 is an apocalyptic number.

It is an amenable number.

40102872511932 is an abundant number, since it is smaller than the sum of its proper divisors (72983958553668).

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

40102872511932 is a wasteful number, since it uses less digits than its factorization.

40102872511932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20336525 (or 20336486 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40102872511932 in words is "forty trillion, one hundred two billion, eight hundred seventy-two million, five hundred eleven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 837 961 1026 1116 1178 1674 1767 1922 2052 2356 2883 3348 3534 3844 5301 5766 7068 8649 10602 11532 15903 17298 18259 21204 25947 31806 34596 36518 51894 54777 63612 73036 103788 109554 164331 219108 328662 492993 657324 985986 1971972 20336431 40672862 61009293 81345724 122018586 183027879 244037172 366055758 386392189 549083637 630429361 732111516 772784378 1098167274 1159176567 1260858722 1545568756 1891288083 2196334548 2318353134 2521717444 3477529701 3782576166 4636706268 5673864249 6955059402 7565152332 10432589103 11347728498 11978157859 13910118804 17021592747 19543310191 20865178206 22695456996 23956315718 34043185494 35934473577 39086620382 41730356412 47912631436 58629930573 68086370988 71868947154 78173240764 107803420731 117259861146 143737894308 175889791719 215606841462 234519722292 323410262193 351779583438 371322893629 431213682924 527669375157 646820524386 703559166876 742645787258 1055338750314 1113968680887 1293641048772 1485291574516 2110677500628 2227937361774 3341906042661 4455874723548 6683812085322 10025718127983 13367624170644 20051436255966 40102872511932