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14100043431012 = 223721115913136993
BaseRepresentation
bin1100110100101110110000…
…0101000111110001100100
31211220221200021021211011020
43031023230011013301210
53322003342104243022
645553245345011140
72653460135444100
oct315135405076144
954827607254136
1014100043431012
114546881a25090
1216b8824023ab0
137b382275bac6
1436a635196900
15196b93d6635c
hexcd2ec147c64

14100043431012 has 144 divisors (see below), whose sum is σ = 41753706426432. Its totient is φ = 3662092062720.

The previous prime is 14100043430983. The next prime is 14100043431013. The reversal of 14100043431012 is 21013434000141.

It is a super-2 number, since 2×141000434310122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14100043431013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102856788 + ... + 102993780.

It is an arithmetic number, because the mean of its divisors is an integer number (289956294628).

Almost surely, 214100043431012 is an apocalyptic number.

14100043431012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100043431012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20876853213216).

14100043431012 is an abundant number, since it is smaller than the sum of its proper divisors (27653662995420).

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

14100043431012 is a wasteful number, since it uses less digits than its factorization.

14100043431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152938 (or 152929 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14100043431012 its reverse (21013434000141), we get a palindrome (35113477431153).

The spelling of 14100043431012 in words is "fourteen trillion, one hundred billion, forty-three million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 15913 31826 47739 63652 95478 111391 136993 175043 190956 222782 273986 334173 350086 410979 445564 525129 547972 668346 700172 779737 821958 958951 1050258 1225301 1336692 1506923 1559474 1643916 1917902 2100516 2339211 2450602 2876853 3013846 3118948 3675903 3835804 4520769 4678422 4901204 5753706 6027692 6712657 7351806 8577107 9041538 9356844 10548461 11507412 13425314 14703612 17154214 18083076 20137971 21096922 25731321 26850628 31645383 34308428 40275942 42193844 51462642 63290766 73839227 80551884 102925284 126581532 147678454 221517681 295356908 443035362 886070724 2179969609 4359939218 6539908827 8719878436 13079817654 15259787263 23979665699 26159635308 30519574526 45779361789 47959331398 61039149052 71938997097 91558723578 95918662796 106818510841 143877994194 167857659893 183117447156 213637021682 287755988388 320455532523 335715319786 427274043364 503572979679 640911065046 671430639572 1007145959358 1175003619251 1281822130092 2014291918716 2350007238502 3525010857753 4700014477004 7050021715506 14100043431012