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142239105315 = 32517229377147
BaseRepresentation
bin1000010001111000011…
…1001000000100100011
3111121010212222012210200
42010132013020010203
54312301202332230
6145202125400243
713163550306066
oct2043607100443
9447125865720
10142239105315
11553612a30aa
1223697709083
131054a735b98
146c54b688dd
153a775b5160
hex211e1c8123

142239105315 has 72 divisors (see below), whose sum is σ = 270935580240. Its totient is φ = 68936254464.

The previous prime is 142239105289. The next prime is 142239105329. The reversal of 142239105315 is 513501932241.

142239105315 = 23 + 33 + ... + 8683.

It is a happy number.

142239105315 is a `hidden beast` number, since 1 + 4 + 2 + 239 + 105 + 315 = 666.

It is a Cunningham number, because it is equal to 3771462-1.

It is not a de Polignac number, because 142239105315 - 26 = 142239105251 is a prime.

It is a super-3 number, since 3×1422391053153 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 142239105315.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188572 + ... + 565718.

It is an arithmetic number, because the mean of its divisors is an integer number (3762994170).

Almost surely, 2142239105315 is an apocalyptic number.

142239105315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142239105315 is a deficient number, since it is larger than the sum of its proper divisors (128696474925).

142239105315 is a wasteful number, since it uses less digits than its factorization.

142239105315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377221 (or 377201 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 142239105315 in words is "one hundred forty-two billion, two hundred thirty-nine million, one hundred five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 17 29 45 51 85 87 145 153 255 261 289 435 493 765 867 1305 1445 1479 2465 2601 4335 4437 7395 8381 13005 22185 25143 41905 75429 125715 377145 377147 1131441 1885735 3394323 5657205 6411499 10937263 16971615 19234497 32057495 32811789 54686315 57703491 96172485 98435367 108995483 164058945 185933471 288517455 326986449 492176835 544977415 557800413 929667355 980959347 1634932245 1673401239 2789002065 3160869007 4904796735 8367006195 9482607021 15804345035 28447821063 47413035105 142239105315