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12414222213432 = 23313172340539633
BaseRepresentation
bin1011010010100110100101…
…0011100010000100111000
31121221210021111020202212220
42310221221103202010320
53111343311341312212
642223003121404040
72420616666514434
oct264515123420470
947853244222786
1012414222213432
113a5692988a6a6
121485b61a99620
136c086b6a0b20
1430cbcc97d9c4
15167dc81e338c
hexb4a694e2138

12414222213432 has 64 divisors (see below), whose sum is σ = 35388959266080. Its totient is φ = 3595068874752.

The previous prime is 12414222213431. The next prime is 12414222213461. The reversal of 12414222213432 is 23431222241421.

It is a super-2 number, since 2×124142222134322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12414222213393 and 12414222213402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414222213431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1170264513 + ... + 1170275120.

Almost surely, 212414222213432 is an apocalyptic number.

12414222213432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12414222213432 is an abundant number, since it is smaller than the sum of its proper divisors (22974737052648).

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

12414222213432 is a wasteful number, since it uses less digits than its factorization.

12414222213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340539672 (or 2340539668 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 12414222213432 its reverse (23431222241421), we get a palindrome (35845444454853).

The spelling of 12414222213432 in words is "twelve trillion, four hundred fourteen billion, two hundred twenty-two million, two hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 2340539633 4681079266 7021618899 9362158532 14043237798 18724317064 28086475596 30427015229 39789173761 56172951192 60854030458 79578347522 91281045687 119367521283 121708060916 159156695044 182562091374 238735042566 243416121832 318313390088 365124182748 477470085132 517259258893 730248365496 954940170264 1034518517786 1551777776679 2069037035572 3103555553358 4138074071144 6207111106716 12414222213432