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142074144 = 2532493313
BaseRepresentation
bin10000111011111…
…10000100100000
3100220100010002100
420131332010200
5242332333034
622033050400
73343416222
oct1035760440
9326303070
10142074144
1173219453
123b6b6a00
1323585454
1414c24412
15c716099
hex877e120

142074144 has 36 divisors (see below), whose sum is σ = 404024166. Its totient is φ = 47357952.

The previous prime is 142074139. The next prime is 142074169. The reversal of 142074144 is 441470241.

It can be written as a sum of positive squares in only one way, i.e., 112784400 + 29289744 = 10620^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246369 + ... + 246944.

Almost surely, 2142074144 is an apocalyptic number.

It is an amenable number.

142074144 is an abundant number, since it is smaller than the sum of its proper divisors (261950022).

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

142074144 is a wasteful number, since it uses less digits than its factorization.

142074144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493329 (or 493318 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 142074144 is about 11919.4858949537. The cubic root of 142074144 is about 521.8011309218.

The spelling of 142074144 in words is "one hundred forty-two million, seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 493313 986626 1479939 1973252 2959878 3946504 4439817 5919756 7893008 8879634 11839512 15786016 17759268 23679024 35518536 47358048 71037072 142074144