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142895526968736 = 2534194928286017
BaseRepresentation
bin100000011111011001110101…
…000111111111110110100000
3200201221200022222001221110000
4200133121311013333312200
5122212200014400444421
61223525144314540000
742045601240316163
oct4037316507776640
9621850288057400
10142895526968736
114159271a771273
121403a13aa37600
136196cb4b0a6b9
142740275077ada
15117c091e83226
hex81f6751ffda0

142895526968736 has 120 divisors (see below), whose sum is σ = 420467414667300. Its totient is φ = 47607401521152.

The previous prime is 142895526968717. The next prime is 142895526968749. The reversal of 142895526968736 is 637869625598241.

142895526968736 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 9 + 5 + 526 + 9 + 6 + 87 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 139161187155600 + 3734339813136 = 11796660^2 + 1932444^2 .

It is a super-4 number, since 4×1428955269687364 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9091201 + ... + 19194816.

Almost surely, 2142895526968736 is an apocalyptic number.

142895526968736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142895526968736 is an abundant number, since it is smaller than the sum of its proper divisors (277571887698564).

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

142895526968736 is a wasteful number, since it uses less digits than its factorization.

142895526968736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28287988 (or 28287971 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

The spelling of 142895526968736 in words is "one hundred forty-two trillion, eight hundred ninety-five billion, five hundred twenty-six million, nine hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1949 2592 3898 5847 7796 11694 15592 17541 23388 31184 35082 46776 52623 62368 70164 93552 105246 140328 157869 187104 210492 280656 315738 420984 561312 631476 841968 1262952 1683936 2525904 5051808 28286017 56572034 84858051 113144068 169716102 226288136 254574153 339432204 452576272 509148306 678864408 763722459 905152544 1018296612 1357728816 1527444918 2036593224 2291167377 2715457632 3054889836 4073186448 4582334754 6109779672 8146372896 9164669508 12219559344 18329339016 24439118688 36658678032 55129447133 73317356064 110258894266 165388341399 220517788532 330776682798 441035577064 496165024197 661553365596 882071154128 992330048394 1323106731192 1488495072591 1764142308256 1984660096788 2646213462384 2976990145182 3969320193576 4465485217773 5292426924768 5953980290364 7938640387152 8930970435546 11907960580728 15877280774304 17861940871092 23815921161456 35723881742184 47631842322912 71447763484368 142895526968736