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144935168 = 287312609
BaseRepresentation
bin10001010001110…
…00100100000000
3101002201110200012
420220320210000
5244100411133
622214244052
73406633340
oct1050704400
9332643605
10144935168
11748a2a34
1240656628
1324047771
141536ad20
15cacdb48
hex8a38900

144935168 has 72 divisors (see below), whose sum is σ = 341429760. Its totient is φ = 60088320.

The previous prime is 144935159. The next prime is 144935171. The reversal of 144935168 is 861539441.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54248 + ... + 56856.

It is an arithmetic number, because the mean of its divisors is an integer number (4742080).

Almost surely, 2144935168 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 144935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170714880).

144935168 is an abundant number, since it is smaller than the sum of its proper divisors (196494592).

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

144935168 is an equidigital number, since it uses as much as digits as its factorization.

144935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2649 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 144935168 is about 12038.9022755399. The cubic root of 144935168 is about 525.2804765862.

The spelling of 144935168 in words is "one hundred forty-four million, nine hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 434 448 496 868 896 992 1736 1792 1984 2609 3472 3968 5218 6944 7936 10436 13888 18263 20872 27776 36526 41744 55552 73052 80879 83488 146104 161758 166976 292208 323516 333952 566153 584416 647032 667904 1132306 1168832 1294064 2264612 2337664 2588128 4529224 4675328 5176256 9058448 10352512 18116896 20705024 36233792 72467584 144935168