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142617744 = 24322274363
BaseRepresentation
bin10001000000000…
…10110010010000
3100221100201202200
420200002302100
5243002231434
622052443200
73351142113
oct1040026220
9327321680
10142617744
117355a905
123b919500
13237159c9
1414d2657a
15c7c2199
hex8802c90

142617744 has 60 divisors (see below), whose sum is σ = 400981776. Its totient is φ = 47318976.

The previous prime is 142617731. The next prime is 142617751. The reversal of 142617744 is 447716241.

It is a happy number.

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 = 142617699 and 142617708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30507 + ... + 34869.

Almost surely, 2142617744 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 142617744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200490888).

142617744 is an abundant number, since it is smaller than the sum of its proper divisors (258364032).

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

142617744 is a wasteful number, since it uses less digits than its factorization.

142617744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4595 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 142617744 is about 11942.2671214473. The cubic root of 142617744 is about 522.4657841044.

The spelling of 142617744 in words is "one hundred forty-two million, six hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1816 2043 2724 3632 4086 4363 5448 8172 8726 10896 13089 16344 17452 26178 32688 34904 39267 52356 69808 78534 104712 157068 209424 314136 628272 990401 1980802 2971203 3961604 5942406 7923208 8913609 11884812 15846416 17827218 23769624 35654436 47539248 71308872 142617744