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144239472 = 24321325927
BaseRepresentation
bin10001001100011…
…10101101110000
3101001102010100200
420212032231300
5243411130342
622151315200
73401005146
oct1046165560
9331363320
10144239472
1174468283
124037bb00
1323b62c00
1415229596
15c9e294c
hex898eb70

144239472 has 90 divisors (see below), whose sum is σ = 437184072. Its totient is φ = 44373888.

The previous prime is 144239467. The next prime is 144239519. The reversal of 144239472 is 274932441.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 21373 + ... + 27299.

Almost surely, 2144239472 is an apocalyptic number.

144239472 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 144239472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218592036).

144239472 is an abundant number, since it is smaller than the sum of its proper divisors (292944600).

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

144239472 is a wasteful number, since it uses less digits than its factorization.

144239472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5967 (or 5945 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 144239472 is about 12009.9738550923. The cubic root of 144239472 is about 524.4386707899.

The spelling of 144239472 in words is "one hundred forty-four million, two hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 5927 6084 8112 11854 12168 17781 23708 24336 35562 47416 53343 71124 77051 94832 106686 142248 154102 213372 231153 284496 308204 426744 462306 616408 693459 853488 924612 1001663 1232816 1386918 1849224 2003326 2773836 3004989 3698448 4006652 5547672 6009978 8013304 9014967 11095344 12019956 16026608 18029934 24039912 36059868 48079824 72119736 144239472