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442949758629339 = 313217313834328497
BaseRepresentation
bin110010010110111000100011…
…1000001000011010111011011
32011002100120202021110022222110
41210231301013001003113123
5431024242101202114324
64210024150535523403
7162205030642446033
oct14455610701032733
92132316667408873
10442949758629339
11119156a35085005
124181a769b29563
1316020ca1894a00
147b54c502188c3
15363221691c329
hex192dc470435db

442949758629339 has 96 divisors (see below), whose sum is σ = 700812775194624. Its totient is φ = 247625984286720.

The previous prime is 442949758629337. The next prime is 442949758629379. The reversal of 442949758629339 is 933926857949244.

It is not a de Polignac number, because 442949758629339 - 21 = 442949758629337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (442949758629337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100169139 + ... + 104497635.

It is an arithmetic number, because the mean of its divisors is an integer number (7300133074944).

Almost surely, 2442949758629339 is an apocalyptic number.

442949758629339 is a deficient number, since it is larger than the sum of its proper divisors (257863016565285).

442949758629339 is a wasteful number, since it uses less digits than its factorization.

442949758629339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328957 (or 4328944 counting only the distinct ones).

The product of its digits is 25395793920, while the sum is 84.

The spelling of 442949758629339 in words is "four hundred forty-two trillion, nine hundred forty-nine billion, seven hundred fifty-eight million, six hundred twenty-nine thousand, three hundred thirty-nine".

Divisors: 1 3 13 17 31 39 51 93 169 221 383 403 507 527 663 1149 1209 1581 2873 4979 5239 6511 6851 8619 11873 14937 15717 19533 20553 35619 64727 84643 89063 154349 194181 201841 253929 267189 463047 605523 1100359 2006537 2623933 3301077 4328497 6019611 7871799 12985491 34111129 56270461 73584449 102333387 134183407 168811383 220753347 402550221 731515993 956597837 1657814351 1744384291 2194547979 2281117919 2869793511 4973443053 5233152873 6843353757 12435771881 21551586563 22676995783 28182843967 29654532947 37307315643 51392244881 64654759689 68030987349 84548531901 88963598841 154176734643 280170625319 366376971571 385508928311 668099183453 840511875957 873668162977 1099130914713 1156526784933 2004297550359 2621004488931 4762900630423 8685289384889 11357686118701 14288701891269 26055868154667 34073058356103 147649919543113 442949758629339