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144152424 = 233213337457
BaseRepresentation
bin10001001011110…
…01011101101000
3101001020200221200
420211321131220
5243400334144
622145404200
73400163313
oct1045713550
9331220850
10144152424
1174408939
1240339660
1323b323c0
141520597a
15c9c6c69
hex8979768

144152424 has 96 divisors (see below), whose sum is σ = 422614920. Its totient is φ = 44126208.

The previous prime is 144152389. The next prime is 144152479. The reversal of 144152424 is 424251441.

144152424 is a `hidden beast` number, since 1 + 4 + 415 + 242 + 4 = 666.

144152424 is digitally balanced in base 2, 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 4 ways, for example, as 110628324 + 33524100 = 10518^2 + 5790^2 .

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, 315204 + ... + 315660.

Almost surely, 2144152424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144152424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211307460).

144152424 is an abundant number, since it is smaller than the sum of its proper divisors (278462496).

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

144152424 is a wasteful number, since it uses less digits than its factorization.

144152424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 812 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 144152424 is about 12006.3493202555. The cubic root of 144152424 is about 524.3331506126. Note that the first 3 decimals are identical.

The spelling of 144152424 in words is "one hundred forty-four million, one hundred fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 337 457 468 674 914 936 1011 1348 1371 1828 2022 2696 2742 3033 3656 4044 4113 4381 5484 5941 6066 8088 8226 8762 10968 11882 12132 13143 16452 17524 17823 23764 24264 26286 32904 35048 35646 39429 47528 52572 53469 71292 78858 105144 106938 142584 154009 157716 213876 308018 315432 427752 462027 616036 924054 1232072 1386081 1848108 2002117 2772162 3696216 4004234 5544324 6006351 8008468 11088648 12012702 16016936 18019053 24025404 36038106 48050808 72076212 144152424