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142916112 = 24322343151
BaseRepresentation
bin10001000010010…
…11101000010000
3100221220220001100
420201023220100
5243041303422
622103104400
73353524023
oct1041135020
9327826040
10142916112
1173743a99
123ba42100
13237bb761
1414da31ba
15c8307ac
hex884ba10

142916112 has 60 divisors (see below), whose sum is σ = 417366144. Its totient is φ = 45566400.

The previous prime is 142916087. The next prime is 142916117. The reversal of 142916112 is 211619241.

142916112 is a `hidden beast` number, since 1 + 42 + 9 + 1 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (142916117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18264 + ... + 24887.

Almost surely, 2142916112 is an apocalyptic number.

142916112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142916112 is an abundant number, since it is smaller than the sum of its proper divisors (274450032).

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

142916112 is a wasteful number, since it uses less digits than its factorization.

142916112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43188 (or 43179 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 142916112 is about 11954.7526950581. The cubic root of 142916112 is about 522.8298773870.

The spelling of 142916112 in words is "one hundred forty-two million, nine hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 43151 86302 129453 172604 258906 345208 388359 517812 690416 776718 992473 1035624 1553436 1984946 2071248 2977419 3106872 3969892 5954838 6213744 7939784 8932257 11909676 15879568 17864514 23819352 35729028 47638704 71458056 142916112