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144293527928 = 231117286133713
BaseRepresentation
bin1000011001100010010…
…0001000000101111000
3111210110001201200211002
42012120210020011320
54331003120343203
6150142035024132
713265504515304
oct2063044100570
9453401650732
10144293527928
1156215a31230
1223b6b73b048
13107b7256674
146dab94cd04
153b47b27d88
hex2198908178

144293527928 has 64 divisors (see below), whose sum is σ = 312625876320. Its totient is φ = 61706444800.

The previous prime is 144293527921. The next prime is 144293527951. The reversal of 144293527928 is 829725392441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144293527921) by changing a digit.

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, 4263200 + ... + 4296912.

Almost surely, 2144293527928 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 144293527928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156312938160).

144293527928 is an abundant number, since it is smaller than the sum of its proper divisors (168332348392).

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

144293527928 is a wasteful number, since it uses less digits than its factorization.

144293527928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36608 (or 36604 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The spelling of 144293527928 in words is "one hundred forty-four billion, two hundred ninety-three million, five hundred twenty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 2861 5722 11444 22888 31471 33713 48637 62942 67426 97274 125884 134852 194548 251768 269704 370843 389096 535007 573121 741686 1070014 1146242 1483372 2140028 2292484 2966744 4280056 4584968 6304331 12608662 25217324 50434648 96452893 192905786 385811572 771623144 1060981823 1639699181 2121963646 3279398362 4243927292 6558796724 8487854584 13117593448 18036690991 36073381982 72146763964 144293527928