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14431202112012 = 2237834229489449
BaseRepresentation
bin1101001000000000011010…
…1011001111001000001100
31220002121110021202211210120
43102000012223033020030
53342420100220041022
650405334104504540
73016422433003140
oct322000653171014
956077407684716
1014431202112012
11466426940a614
121750a4447b150
13808b19a0ac5a
1437c68c599220
151a05c6c26d5c
hexd2006acf20c

14431202112012 has 96 divisors (see below), whose sum is σ = 38956147776000. Its totient is φ = 4072551931392.

The previous prime is 14431202111987. The next prime is 14431202112043. The reversal of 14431202112012 is 21021120213441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239864 + ... + 29729312.

It is an arithmetic number, because the mean of its divisors is an integer number (405793206000).

Almost surely, 214431202112012 is an apocalyptic number.

14431202112012 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 14431202112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19478073888000).

14431202112012 is an abundant number, since it is smaller than the sum of its proper divisors (24524945663988).

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

14431202112012 is a wasteful number, since it uses less digits than its factorization.

14431202112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493775 (or 493773 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14431202112012 its reverse (21021120213441), we get a palindrome (35452322325453).

The spelling of 14431202112012 in words is "fourteen trillion, four hundred thirty-one billion, two hundred two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 4229 6972 8458 12687 16916 25374 29603 50748 59206 88809 118412 177618 351007 355236 489449 702014 978898 1053021 1404028 1468347 1957796 2106042 2457049 2936694 3426143 4212084 4914098 5873388 6852286 7371147 9828196 10278429 13704572 14742294 20556858 29484588 40624267 41113716 81248534 121872801 162497068 243745602 284369869 487491204 568739738 853109607 1137479476 1706219214 2069879821 3412438428 4139759642 6209639463 8279519284 12419278926 14489158747 24838557852 28978317494 43467476241 57956634988 86934952482 171800025143 173869904964 343600050286 515400075429 687200100572 1030800150858 1202600176001 2061600301716 2405200352002 3607800528003 4810400704004 7215601056006 14431202112012