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14312532132 = 22327320392671
BaseRepresentation
bin11010101010001011…
…11110100010100100
31100221110112222001200
431111011332202210
5213303002012012
610324115122500
71014451341633
oct152505764244
940843488050
1014312532132
116085062258
1229352a3430
1314712a6c32
1499abcd51a
1558b7ba3dc
hex35517e8a4

14312532132 has 72 divisors (see below), whose sum is σ = 36706225920. Its totient is φ = 4701421440.

The previous prime is 14312532127. The next prime is 14312532133. The reversal of 14312532132 is 23123521341.

14312532132 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 = 14312532096 and 14312532105.

It is not an unprimeable number, because it can be changed into a prime (14312532133) 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 23 ways as a sum of consecutive naturals, for example, 5357157 + ... + 5359827.

Almost surely, 214312532132 is an apocalyptic number.

14312532132 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 14312532132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353112960).

14312532132 is an abundant number, since it is smaller than the sum of its proper divisors (22393693788).

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

14312532132 is a wasteful number, since it uses less digits than its factorization.

14312532132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4788 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The spelling of 14312532132 in words is "fourteen billion, three hundred twelve million, five hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2039 2628 2671 4078 5342 6117 8013 8156 10684 12234 16026 18351 24039 24468 32052 36702 48078 73404 96156 148847 194983 297694 389966 446541 584949 595388 779932 893082 1169898 1339623 1754847 1786164 2339796 2679246 3509694 5358492 5446169 7019388 10892338 16338507 21784676 32677014 49015521 65354028 98031042 196062084 397570337 795140674 1192711011 1590281348 2385422022 3578133033 4770844044 7156266066 14312532132