Search a number
-
+
14014022424024 = 233791990769097
BaseRepresentation
bin1100101111101110010011…
…0101000001010111011000
31211121201122022120220022110
43023323210311001113120
53314101204220032044
645445541504152320
72644323353112210
oct313734465012730
954551568526273
1014014022424024
11451334a34a377
1216a40179086a0
137a86940b467c
143663d4901240
1519480beb06b9
hexcbee4d415d8

14014022424024 has 64 divisors (see below), whose sum is σ = 40083633676800. Its totient is φ = 3999649446144.

The previous prime is 14014022424013. The next prime is 14014022424041. The reversal of 14014022424024 is 42042422041041.

It is a junction number, because it is equal to n+sod(n) for n = 14014022423982 and 14014022424000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45230157 + ... + 45538940.

It is an arithmetic number, because the mean of its divisors is an integer number (626306776200).

Almost surely, 214014022424024 is an apocalyptic number.

14014022424024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14014022424024 is an abundant number, since it is smaller than the sum of its proper divisors (26069611252776).

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

14014022424024 is a wasteful number, since it uses less digits than its factorization.

14014022424024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90770032 (or 90770028 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14014022424024 its reverse (42042422041041), we get a palindrome (56056444465065).

The spelling of 14014022424024 in words is "fourteen trillion, fourteen billion, twenty-two million, four hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 919 1838 2757 3676 5514 6433 7352 11028 12866 19299 22056 25732 38598 51464 77196 154392 90769097 181538194 272307291 363076388 544614582 635383679 726152776 1089229164 1270767358 1906151037 2178458328 2541534716 3812302074 5083069432 7624604148 15249208296 83416800143 166833600286 250250400429 333667200572 500500800858 583917601001 667334401144 1001001601716 1167835202002 1751752803003 2002003203432 2335670404004 3503505606006 4671340808008 7007011212012 14014022424024