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442441113014341 = 717103211322697529
BaseRepresentation
bin110010010011001011101100…
…1011000000001000001000101
32011000112221211212222212120001
41210212113121120001001011
5430442423344412424331
64204554350311041301
7162123213143164630
oct14446273130010105
92130487755885501
10442441113014341
11118a80249976051
1241758075670231
1315cb5030526a1c
147b3839aaacc17
153623d96cb0561
hex19265d9601045

442441113014341 has 64 divisors (see below), whose sum is σ = 541154965478400. Its totient is φ = 353092082466816.

The previous prime is 442441113014339. The next prime is 442441113014371. The reversal of 442441113014341 is 143410311144244.

It is not a de Polignac number, because 442441113014341 - 21 = 442441113014339 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442441113014341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442441113014371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58764920265 + ... + 58764927793.

It is an arithmetic number, because the mean of its divisors is an integer number (8455546335600).

Almost surely, 2442441113014341 is an apocalyptic number.

It is an amenable number.

442441113014341 is a deficient number, since it is larger than the sum of its proper divisors (98713852464059).

442441113014341 is a wasteful number, since it uses less digits than its factorization.

442441113014341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 442441113014341 its reverse (143410311144244), we get a palindrome (585851424158585).

The spelling of 442441113014341 in words is "four hundred forty-two trillion, four hundred forty-one billion, one hundred thirteen million, fourteen thousand, three hundred forty-one".

Divisors: 1 7 17 103 119 721 1751 2113 2269 7529 12257 14791 15883 35921 38573 52703 127993 217639 233707 251447 270011 775487 895951 1523473 1635949 3699863 3973019 4794397 5428409 13183279 15908777 17083301 25899041 27811133 33560779 81504749 92282953 111361439 119583107 270449209 290416117 493822891 570533243 1638604031 1759580003 1893144463 2032912819 3456760237 8394989147 11470228217 12317060021 27856268527 29912860051 36097015013 58764924029 194993879689 209390020357 252679105091 613649255221 3717992546339 4295544786547 26025947824373 63205873287763 442441113014341