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144688672 = 2541110281
BaseRepresentation
bin10001001111111…
…00011000100000
3101002020221112201
420213330120200
5244020014142
622205102544
73404555602
oct1047743040
9332227481
10144688672
1174744817
1240557a54
1323c8c4cb
1415305172
15ca80ab7
hex89fc620

144688672 has 24 divisors (see below), whose sum is σ = 291806172. Its totient is φ = 70579200.

The previous prime is 144688669. The next prime is 144688681. The reversal of 144688672 is 276886441.

144688672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 123565456 + 21123216 = 11116^2 + 4596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53829 + ... + 56452.

Almost surely, 2144688672 is an apocalyptic number.

It is an amenable number.

144688672 is an abundant number, since it is smaller than the sum of its proper divisors (147117500).

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

144688672 is a wasteful number, since it uses less digits than its factorization.

144688672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110332 (or 110324 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 144688672 is about 12028.6604407972. The cubic root of 144688672 is about 524.9825203553.

The spelling of 144688672 in words is "one hundred forty-four million, six hundred eighty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 110281 220562 441124 882248 1764496 3528992 4521521 9043042 18086084 36172168 72344336 144688672