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142212294315 = 325713311278821
BaseRepresentation
bin1000010001110010000…
…0110110011010101011
3111121002000112002000200
42010130200312122223
54312222321404230
6145155331003243
713163103361650
oct2043440663253
9447060462020
10142212294315
1155348150653
122368a739523
13105450095a0
146c51389c27
153a7506b160
hex211c8366ab

142212294315 has 192 divisors, whose sum is σ = 315674591232. Its totient is φ = 57610828800.

The previous prime is 142212294299. The next prime is 142212294349. The reversal of 142212294315 is 513492212241.

142212294315 is a `hidden beast` number, since 1 + 4 + 2 + 212 + 2 + 9 + 431 + 5 = 666.

It is not a de Polignac number, because 142212294315 - 24 = 142212294299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 142212294315.

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 191 ways as a sum of consecutive naturals, for example, 16117605 + ... + 16126425.

It is an arithmetic number, because the mean of its divisors is an integer number (1644138496).

Almost surely, 2142212294315 is an apocalyptic number.

142212294315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142212294315 is an abundant number, since it is smaller than the sum of its proper divisors (173462296917).

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

142212294315 is a wasteful number, since it uses less digits than its factorization.

142212294315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9007 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 142212294315 in words is "one hundred forty-two billion, two hundred twelve million, two hundred ninety-four thousand, three hundred fifteen".