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42403124331321 = 313193713711289049
BaseRepresentation
bin10011010010000101111110…
…01010011100001100111001
312120010200212122022201010020
421221002333022130030321
521024213044312100241
6230103420522441053
711634344643606345
oct1151027712341471
9176120778281106
1042403124331321
1112569078268656
12490a014663189
131a8779c833c10
14a6847205a625
154d8008a45b66
hex2690bf29c339

42403124331321 has 64 divisors (see below), whose sum is σ = 66303751584000. Its totient is φ = 23877149331456.

The previous prime is 42403124331317. The next prime is 42403124331361. The reversal of 42403124331321 is 12313342130424.

42403124331321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42403124331321 - 22 = 42403124331317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42403124331361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1888396 + ... + 9400653.

It is an arithmetic number, because the mean of its divisors is an integer number (1035996118500).

Almost surely, 242403124331321 is an apocalyptic number.

It is an amenable number.

42403124331321 is a deficient number, since it is larger than the sum of its proper divisors (23900627252679).

42403124331321 is a wasteful number, since it uses less digits than its factorization.

42403124331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11289258.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 42403124331321 its reverse (12313342130424), we get a palindrome (54716466461745).

The spelling of 42403124331321 in words is "forty-two trillion, four hundred three billion, one hundred twenty-four million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 13 19 37 39 57 111 137 247 411 481 703 741 1443 1781 2109 2603 5069 5343 7809 9139 15207 27417 33839 65897 96311 101517 197691 288933 1252043 3756129 11289049 33867147 146757637 214491931 417694813 440272911 643475793 1253084439 1546599713 2788395103 4639799139 5430032569 7936201447 8365185309 16290097707 20105796269 23808604341 29385394547 57224189381 60317388807 88156183641 103170618811 171672568143 309511856433 382010129111 743914461953 1087259598239 1146030387333 2231743385859 3261778794717 14134374777107 42403124331321