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12014040432 = 2432382913127
BaseRepresentation
bin10110011000001011…
…11011010101110000
31011000021112111012110
423030011323111300
5144101043243212
65304050325320
7603501441642
oct131405732560
934007474173
1012014040432
115105681439
1223b3589840
13119603c484
1481d834892
154a4ae5a3c
hex2cc17b570

12014040432 has 80 divisors (see below), whose sum is σ = 32427210240. Its totient is φ = 3825651456.

The previous prime is 12014040397. The next prime is 12014040433. The reversal of 12014040432 is 23404041021.

12014040432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12014040399 and 12014040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014040433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 908653 + ... + 921779.

It is an arithmetic number, because the mean of its divisors is an integer number (405340128).

Almost surely, 212014040432 is an apocalyptic number.

12014040432 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 12014040432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213605120).

12014040432 is an abundant number, since it is smaller than the sum of its proper divisors (20413169808).

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

12014040432 is a wasteful number, since it uses less digits than its factorization.

12014040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13990 (or 13984 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12014040432 its reverse (23404041021), we get a palindrome (35418081453).

The spelling of 12014040432 in words is "twelve billion, fourteen million, forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 829 1104 1658 2487 3316 4974 6632 9948 13127 13264 19067 19896 26254 38134 39381 39792 52508 57201 76268 78762 105016 114402 152536 157524 210032 228804 301921 305072 315048 457608 603842 630096 905763 915216 1207684 1811526 2415368 3623052 4830736 7246104 10882283 14492208 21764566 32646849 43529132 65293698 87058264 130587396 174116528 250292509 261174792 500585018 522349584 750877527 1001170036 1501755054 2002340072 3003510108 4004680144 6007020216 12014040432