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142424043653664 = 2532796259847207
BaseRepresentation
bin100000011000100010101110…
…100001111000101000100000
3200200021121100111000220211100
4200120202232201320220200
5122131433420133404124
61222524411415114400
741666540400261603
oct4030425641705040
9620247314026740
10142424043653664
1141420774723283
1213b82898072a00
1361616b6954cb6
1427255092a033a
15116eb99b281c9
hex8188ae878a20

142424043653664 has 72 divisors (see below), whose sum is σ = 410145189068160. Its totient is φ = 46873735878528.

The previous prime is 142424043653623. The next prime is 142424043653681. The reversal of 142424043653664 is 466356340424241.

142424043653664 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 2 + 4 + 0 + 43 + 6 + 536 + 64 = 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 142424043653664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129900852 + ... + 3129946355.

It is an arithmetic number, because the mean of its divisors is an integer number (5696460959280).

Almost surely, 2142424043653664 is an apocalyptic number.

It is an amenable number.

142424043653664 is an abundant number, since it is smaller than the sum of its proper divisors (267721145414496).

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

142424043653664 is a wasteful number, since it uses less digits than its factorization.

142424043653664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259847302 (or 6259847291 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 142424043653664 in words is "one hundred forty-two trillion, four hundred twenty-four billion, forty-three million, six hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 11376 22752 6259847207 12519694414 18779541621 25039388828 37559083242 50078777656 56338624863 75118166484 100157555312 112677249726 150236332968 200315110624 225354499452 300472665936 450708998904 494527929353 600945331872 901417997808 989055858706 1483583788059 1802835995616 1978111717412 2967167576118 3956223434824 4450751364177 5934335152236 7912446869648 8901502728354 11868670304472 15824893739296 17803005456708 23737340608944 35606010913416 47474681217888 71212021826832 142424043653664