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14031413210424 = 23317612897194609
BaseRepresentation
bin1100110000101111000101…
…1001100110110100111000
31211200101112022102101101110
43030023301121212310320
53314342313240213144
645501535305120320
72645510333262321
oct314136131466470
954611468371343
1014031413210424
11451a763a60615
1216a746ba890a0
137aa20604171c
143671a4467448
15194ec8b2b0b9
hexcc2f1666d38

14031413210424 has 128 divisors (see below), whose sum is σ = 37764086068800. Its totient is φ = 4328331018240.

The previous prime is 14031413210411. The next prime is 14031413210431. The reversal of 14031413210424 is 42401231413041.

It is a happy number.

14031413210424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140314132104242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14031413210391 and 14031413210400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72003232 + ... + 72197840.

Almost surely, 214031413210424 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 14031413210424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18882043034400).

14031413210424 is an abundant number, since it is smaller than the sum of its proper divisors (23732672858376).

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

14031413210424 is a wasteful number, since it uses less digits than its factorization.

14031413210424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197593 (or 197589 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14031413210424 its reverse (42401231413041), we get a palindrome (56432644623465).

The spelling of 14031413210424 in words is "fourteen trillion, thirty-one billion, four hundred thirteen million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 61 68 102 122 136 183 204 244 366 408 488 732 1037 1464 2074 2897 3111 4148 5794 6222 8296 8691 11588 12444 17382 23176 24888 34764 49249 69528 98498 147747 176717 194609 196996 295494 353434 389218 393992 530151 583827 590988 706868 778436 1060302 1167654 1181976 1413736 1556872 2120604 2335308 3004189 3308353 4241208 4670616 6008378 6616706 9012567 9925059 11871149 12016756 13233412 18025134 19850118 23742298 24033512 26466824 35613447 36050268 39700236 47484596 71226894 72100536 79400472 94969192 142453788 201809533 284907576 403619066 563782273 605428599 807238132 1127564546 1210857198 1614476264 1691346819 2255129092 2421714396 3382693638 4510258184 4843428792 6765387276 9584298641 13530774552 19168597282 28752895923 34390718653 38337194564 57505791846 68781437306 76674389128 103172155959 115011583692 137562874612 206344311918 230023167384 275125749224 412688623836 584642217101 825377247672 1169284434202 1753926651303 2338568868404 3507853302606 4677137736808 7015706605212 14031413210424