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142080068196 = 223411139286801
BaseRepresentation
bin1000010001010010100…
…0011100101001100100
3111120201210201021220000
42010110220130221210
54311434444140241
6145134244541300
713156606440033
oct2042450345144
9446653637800
10142080068196
115528a549170
12236523b1830
13105237c1791
146c3b9aa71a
153a6864ceb6
hex2114a1ca64

142080068196 has 120 divisors (see below), whose sum is σ = 408107773920. Its totient is φ = 42744672000.

The previous prime is 142080068177. The next prime is 142080068231. The reversal of 142080068196 is 691860080241.

142080068196 is a `hidden beast` number, since 1 + 420 + 80 + 0 + 68 + 1 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 351996 + ... + 638796.

It is an arithmetic number, because the mean of its divisors is an integer number (3400898116).

Almost surely, 2142080068196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142080068196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204053886960).

142080068196 is an abundant number, since it is smaller than the sum of its proper divisors (266027705724).

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

142080068196 is a wasteful number, since it uses less digits than its factorization.

142080068196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286967 (or 286956 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 142080068196 in words is "one hundred forty-two billion, eighty million, sixty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 278 297 324 396 417 556 594 834 891 1188 1251 1529 1668 1782 2502 3058 3564 3753 4587 5004 6116 7506 9174 11259 13761 15012 18348 22518 27522 41283 45036 55044 82566 123849 165132 247698 286801 495396 573602 860403 1147204 1720806 2581209 3154811 3441612 5162418 6309622 7743627 9464433 10324836 12619244 15487254 18928866 23230881 28393299 30974508 37857732 39865339 46461762 56786598 79730678 85179897 92923524 113573196 119596017 159461356 170359794 239192034 255539691 340719588 358788051 438518729 478384068 511079382 717576102 877037458 1022158764 1076364153 1315556187 1435152204 1754074916 2152728306 2631112374 3229092459 3946668561 4305456612 5262224748 6458184918 7893337122 11840005683 12916369836 15786674244 23680011366 35520017049 47360022732 71040034098 142080068196