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144175164 = 22371725939
BaseRepresentation
bin10001001011111…
…11000000111100
3101001021212010220
420211333000330
5243402101124
622150101340
73400316520
oct1045770074
9331255126
10144175164
1174423a31
124034a850
1323b3c863
141520dd80
15c9cd879
hex897f03c

144175164 has 72 divisors (see below), whose sum is σ = 408481920. Its totient is φ = 38763264.

The previous prime is 144175159. The next prime is 144175183. The reversal of 144175164 is 461571441.

144175164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21307 + ... + 27245.

It is an arithmetic number, because the mean of its divisors is an integer number (5673360).

Almost surely, 2144175164 is an apocalyptic number.

144175164 is a gapful number since it is divisible by the number (14) 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 144175164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204240960).

144175164 is an abundant number, since it is smaller than the sum of its proper divisors (264306756).

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

144175164 is a wasteful number, since it uses less digits than its factorization.

144175164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5968 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 144175164 is about 12007.2962818446. The cubic root of 144175164 is about 524.3607202933.

The spelling of 144175164 in words is "one hundred forty-four million, one hundred seventy-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 5939 6069 8092 11878 12138 17817 23756 24276 35634 41573 71268 83146 100963 124719 166292 201926 249438 302889 403852 498876 605778 706741 1211556 1413482 1716371 2120223 2826964 3432742 4240446 5149113 6865484 8480892 10298226 12014597 20596452 24029194 36043791 48058388 72087582 144175164