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255057642444 = 2231117253126151
BaseRepresentation
bin1110110110001010011…
…1101100001111001100
3220101100101221201020210
43231202213230033030
513134324224024234
6313101042242420
724266365122003
oct3554247541714
9811311851223
10255057642444
1199195431940
1241522356410
131b089b50627
14c4b83d9c3a
15697bd59be9
hex3b629ec3cc

255057642444 has 144 divisors (see below), whose sum is σ = 702692879616. Its totient is φ = 71370624000.

The previous prime is 255057642443. The next prime is 255057642449. The reversal of 255057642444 is 444246750552.

It is a junction number, because it is equal to n+sod(n) for n = 255057642393 and 255057642402.

It is not an unprimeable number, because it can be changed into a prime (255057642443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958769 + ... + 2084919.

It is an arithmetic number, because the mean of its divisors is an integer number (4879811664).

Almost surely, 2255057642444 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 255057642444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351346439808).

255057642444 is an abundant number, since it is smaller than the sum of its proper divisors (447635237172).

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

255057642444 is a wasteful number, since it uses less digits than its factorization.

255057642444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126256 (or 126237 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 48.

The spelling of 255057642444 in words is "two hundred fifty-five billion, fifty-seven million, six hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 289 318 374 561 578 583 636 748 867 901 1122 1156 1166 1734 1749 1802 2244 2332 2703 3179 3468 3498 3604 5406 6358 6996 9537 9911 10812 12716 15317 19074 19822 29733 30634 38148 39644 45951 59466 61268 91902 118932 126151 168487 183804 252302 336974 378453 504604 505461 673948 756906 1010922 1387661 1513812 2021844 2144567 2775322 4162983 4289134 5550644 6433701 6686003 8325966 8578268 12867402 13372006 16651932 20058009 23590237 25734804 26744012 36457639 40116018 47180474 70770711 72915278 73546033 80232036 94360948 109372917 113662051 141541422 145830556 147092066 218745834 220638099 227324102 283082844 294184132 340986153 401034029 437491668 441276198 454648204 681972306 802068058 882552396 1203102087 1250282561 1363944612 1604136116 1932254867 2406204174 2500565122 3750847683 3864509734 4812408348 5001130244 5796764601 7501695366 7729019468 11593529202 15003390732 21254803537 23187058404 42509607074 63764410611 85019214148 127528821222 255057642444