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144331044 = 2231113241349
BaseRepresentation
bin10001001101001…
…01000100100100
3101001120202222020
420212211010210
5243422043134
622153303140
73401536134
oct1046450444
9331522866
10144331044
1174520060
1240404ab0
1323b957b0
1415250ac4
15ca0eb49
hex89a5124

144331044 has 96 divisors (see below), whose sum is σ = 398428800. Its totient is φ = 40089600.

The previous prime is 144331027. The next prime is 144331073. The reversal of 144331044 is 440133441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413382 + ... + 413730.

It is an arithmetic number, because the mean of its divisors is an integer number (4150300).

Almost surely, 2144331044 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 144331044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199214400).

144331044 is an abundant number, since it is smaller than the sum of its proper divisors (254097756).

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

144331044 is a wasteful number, since it uses less digits than its factorization.

144331044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144331044 is about 12013.7855815725. The cubic root of 144331044 is about 524.5496291797.

Adding to 144331044 its reverse (440133441), we get a palindrome (584464485).

The spelling of 144331044 in words is "one hundred forty-four million, three hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 241 286 349 429 482 572 698 723 858 964 1047 1396 1446 1716 2094 2651 2892 3133 3839 4188 4537 5302 6266 7678 7953 9074 9399 10604 11517 12532 13611 15356 15906 18148 18798 23034 27222 31812 34463 37596 46068 49907 54444 68926 84109 99814 103389 137852 149721 168218 199628 206778 252327 299442 336436 413556 504654 598884 925199 1009308 1093417 1850398 2186834 2775597 3280251 3700796 4373668 5551194 6560502 11102388 12027587 13121004 24055174 36082761 48110348 72165522 144331044