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144013024555412 = 22532173172143049
BaseRepresentation
bin100000101111101010100101…
…001010111111000110010100
3200212220111210021221012200112
4200233222211022333012110
5122334002133241233122
61230142400430302152
742222412000141025
oct4057524512770624
9625814707835615
10144013024555412
1141983642a4a0a1
121419a832657958
1362484a69c784c
14277c3a6348c4c
15119b198b492e2
hex82faa52bf194

144013024555412 has 72 divisors (see below), whose sum is σ = 258508566401400. Its totient is φ = 70197085603840.

The previous prime is 144013024555373. The next prime is 144013024555429. The reversal of 144013024555412 is 214555420310441.

144013024555412 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 12 ways, for example, as 25942764307216 + 118070260248196 = 5093404^2 + 10866014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144013024555412.

It is a congruent number.

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, 3345306464 + ... + 3345349512.

It is an arithmetic number, because the mean of its divisors is an integer number (3590396755575).

Almost surely, 2144013024555412 is an apocalyptic number.

It is an amenable number.

144013024555412 is a deficient number, since it is larger than the sum of its proper divisors (114495541845988).

144013024555412 is a wasteful number, since it uses less digits than its factorization.

144013024555412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45053 (or 44998 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 41.

Adding to 144013024555412 its reverse (214555420310441), we get a palindrome (358568444865853).

The spelling of 144013024555412 in words is "one hundred forty-four trillion, thirteen billion, twenty-four million, five hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 4 53 106 173 212 346 692 1721 2809 3442 5618 6884 9169 11236 18338 36676 43049 86098 91213 172196 182426 297733 364852 485957 595466 971914 1190932 1943828 2281597 4563194 4834289 7447477 9126388 9668578 14894954 15779849 19337156 29789908 31559698 63119396 74087329 120924641 148174658 241849282 296349316 394716281 483698564 789432562 836331997 1578865124 1672663994 3345327988 3926628437 7853256874 12817107917 15706513748 20919962893 25634215834 41839925786 51268431668 83679851572 208111307161 416222614322 679306719601 832445228644 1358613439202 2717226878404 36003256138853 72006512277706 144013024555412