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144874872 = 23334331549
BaseRepresentation
bin10001010001010…
…01110101111000
3101002121101222000
420220221311320
5244041443442
622213101000
73406262502
oct1050516570
9332541860
10144874872
11748616aa
1240627760
132402619c
1415352d72
15cabad4c
hex8a29d78

144874872 has 64 divisors (see below), whose sum is σ = 403620000. Its totient is φ = 48148992.

The previous prime is 144874859. The next prime is 144874883. The reversal of 144874872 is 278478441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92754 + ... + 94302.

Almost surely, 2144874872 is an apocalyptic number.

144874872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144874872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201810000).

144874872 is an abundant number, since it is smaller than the sum of its proper divisors (258745128).

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

144874872 is a wasteful number, since it uses less digits than its factorization.

144874872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1987 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 144874872 is about 12036.3978000064. The cubic root of 144874872 is about 525.2076240017.

The spelling of 144874872 in words is "one hundred forty-four million, eight hundred seventy-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 433 866 1299 1549 1732 2598 3098 3464 3897 4647 5196 6196 7794 9294 10392 11691 12392 13941 15588 18588 23382 27882 31176 37176 41823 46764 55764 83646 93528 111528 167292 334584 670717 1341434 2012151 2682868 4024302 5365736 6036453 8048604 12072906 16097208 18109359 24145812 36218718 48291624 72437436 144874872