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142084944 = 24325318617
BaseRepresentation
bin10000111100000…
…00101101010000
3100220100122220100
420132000231100
5242333204234
622033212400
73343462551
oct1036005520
9326318810
10142084944
1173226581
123b701100
132358a341
1414c28328
15c719399
hex8780b50

142084944 has 60 divisors (see below), whose sum is σ = 405164916. Its totient is φ = 46465536.

The previous prime is 142084939. The next prime is 142084951. The reversal of 142084944 is 449480241.

It can be written as a sum of positive squares in 2 ways, for example, as 124545600 + 17539344 = 11160^2 + 4188^2 .

It is a super-2 number, since 2×1420849442 = 40376262622966272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142084899 and 142084908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1677 + ... + 16940.

Almost surely, 2142084944 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 142084944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202582458).

142084944 is an abundant number, since it is smaller than the sum of its proper divisors (263079972).

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

142084944 is a wasteful number, since it uses less digits than its factorization.

142084944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18684 (or 18675 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 142084944 is about 11919.9389260180. The cubic root of 142084944 is about 521.8143524442.

The spelling of 142084944 in words is "one hundred forty-two million, eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 18617 37234 55851 74468 111702 148936 167553 223404 297872 335106 446808 670212 893616 986701 1340424 1973402 2680848 2960103 3946804 5920206 7893608 8880309 11840412 15787216 17760618 23680824 35521236 47361648 71042472 142084944