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144513696 = 2531979229
BaseRepresentation
bin10001001110100…
…01101010100000
3101001221001112010
420213101222200
5243443414241
622201232520
73403226505
oct1047215240
9331831463
10144513696
1174635308
1240492740
1323c2a982
141529b4ac
15ca48d16
hex89d1aa0

144513696 has 48 divisors (see below), whose sum is σ = 399319200. Its totient is φ = 45635328.

The previous prime is 144513679. The next prime is 144513701. The reversal of 144513696 is 696315441.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37791 + ... + 41438.

It is an arithmetic number, because the mean of its divisors is an integer number (8319150).

Almost surely, 2144513696 is an apocalyptic number.

144513696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144513696 is an abundant number, since it is smaller than the sum of its proper divisors (254805504).

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

144513696 is a wasteful number, since it uses less digits than its factorization.

144513696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79261 (or 79253 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 144513696 is about 12021.3849451717. The cubic root of 144513696 is about 524.7708097114.

The spelling of 144513696 in words is "one hundred forty-four million, five hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 79229 158458 237687 316916 475374 633832 950748 1267664 1505351 1901496 2535328 3010702 3802992 4516053 6021404 7605984 9032106 12042808 18064212 24085616 36128424 48171232 72256848 144513696