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144459924 = 223713712553
BaseRepresentation
bin10001001110001…
…00100010010100
3101001211022202120
420213010202110
5243440204144
622200135540
73402613650
oct1047044224
9331738676
10144459924
11745a8974
12404675b0
1323c0c35b
1415285a60
15ca37e19
hex89c4894

144459924 has 48 divisors (see below), whose sum is σ = 388069248. Its totient is φ = 40969728.

The previous prime is 144459893. The next prime is 144459929. The reversal of 144459924 is 429954441.

144459924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144459929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5232 + ... + 17784.

It is an arithmetic number, because the mean of its divisors is an integer number (8084776).

Almost surely, 2144459924 is an apocalyptic number.

144459924 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 144459924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194034624).

144459924 is an abundant number, since it is smaller than the sum of its proper divisors (243609324).

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

144459924 is a wasteful number, since it uses less digits than its factorization.

144459924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12702 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 144459924 is about 12019.1482227319. The cubic root of 144459924 is about 524.7057144359.

The spelling of 144459924 in words is "one hundred forty-four million, four hundred fifty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 5754 11508 12553 25106 37659 50212 75318 87871 150636 175742 263613 351484 527226 1054452 1719761 3439522 5159283 6879044 10318566 12038327 20637132 24076654 36114981 48153308 72229962 144459924