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14314733232 = 2431015095801
BaseRepresentation
bin11010101010011100…
…10111111010110000
31100221121200210101220
431111032113322300
5213304032430412
610324234225040
71014506140062
oct152516277260
940847623356
1014314733232
116086325a48
122935b85180
131471897a67
1499b203732
1558baa268c
hex355397eb0

14314733232 has 80 divisors (see below), whose sum is σ = 37425684960. Its totient is φ = 4714240000.

The previous prime is 14314733201. The next prime is 14314733233. The reversal of 14314733232 is 23233741341.

It is a junction number, because it is equal to n+sod(n) for n = 14314733193 and 14314733202.

It is not an unprimeable number, because it can be changed into a prime (14314733233) 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, 2464732 + ... + 2470532.

It is an arithmetic number, because the mean of its divisors is an integer number (467821062).

Almost surely, 214314733232 is an apocalyptic number.

14314733232 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 14314733232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712842480).

14314733232 is an abundant number, since it is smaller than the sum of its proper divisors (23110951728).

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

14314733232 is a wasteful number, since it uses less digits than its factorization.

14314733232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6416 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The spelling of 14314733232 in words is "fourteen billion, three hundred fourteen million, seven hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 509 606 808 1018 1212 1527 1616 2036 2424 3054 4072 4848 5801 6108 8144 11602 12216 17403 23204 24432 34806 46408 51409 69612 92816 102818 139224 154227 205636 278448 308454 411272 585901 616908 822544 1171802 1233816 1757703 2343604 2467632 2952709 3515406 4687208 5905418 7030812 8858127 9374416 11810836 14061624 17716254 23621672 28123248 35432508 47243344 70865016 141730032 298223609 596447218 894670827 1192894436 1789341654 2385788872 3578683308 4771577744 7157366616 14314733232