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144524412 = 223417191381
BaseRepresentation
bin10001001110101…
…00010001111100
3101001221121020000
420213110101330
5243444240122
622201354300
73403302654
oct1047242174
9331847200
10144524412
117464236a
1240498990
1323c32806
14152a1364
15ca4c0ac
hex89d447c

144524412 has 120 divisors (see below), whose sum is σ = 421399440. Its totient is φ = 42923520.

The previous prime is 144524411. The next prime is 144524423. The reversal of 144524412 is 214425441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144524411) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 103962 + ... + 105342.

It is an arithmetic number, because the mean of its divisors is an integer number (3511662).

Almost surely, 2144524412 is an apocalyptic number.

144524412 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 144524412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210699720).

144524412 is an abundant number, since it is smaller than the sum of its proper divisors (276875028).

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

144524412 is a wasteful number, since it uses less digits than its factorization.

144524412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1422 counting only the distinct ones).

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

The square root of 144524412 is about 12021.8306426268. The cubic root of 144524412 is about 524.7837803506.

Adding to 144524412 its reverse (214425441), we get a palindrome (358949853).

The spelling of 144524412 in words is "one hundred forty-four million, five hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 306 323 324 342 459 513 612 646 684 918 969 1026 1292 1377 1381 1539 1836 1938 2052 2754 2762 2907 3078 3876 4143 5508 5524 5814 6156 8286 8721 11628 12429 16572 17442 23477 24858 26163 26239 34884 37287 46954 49716 52326 52478 70431 74574 78717 93908 104652 104956 111861 140862 149148 157434 211293 223722 236151 281724 314868 422586 446063 447444 472302 633879 708453 845172 892126 944604 1267758 1338189 1416906 1784252 1901637 2125359 2535516 2676378 2833812 3803274 4014567 4250718 5352756 7606548 8029134 8501436 12043701 16058268 24087402 36131103 48174804 72262206 144524412