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14232233344 = 27782719207
BaseRepresentation
bin11010100000100111…
…01010010110000000
31100201212110100211111
431100103222112000
5213121422431334
610312130053104
71012454662450
oct152023522600
940655410744
1014232233344
1160437a761a
12291241a194
13145a770864
14990289d60
15584708064
hex3504ea580

14232233344 has 64 divisors (see below), whose sum is σ = 32444616960. Its totient is φ = 6091835904.

The previous prime is 14232233339. The next prime is 14232233357. The reversal of 14232233344 is 44333223241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731389 + ... + 750595.

It is an arithmetic number, because the mean of its divisors is an integer number (506947140).

Almost surely, 214232233344 is an apocalyptic number.

14232233344 is a gapful number since it is divisible by the number (14) 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 14232233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222308480).

14232233344 is an abundant number, since it is smaller than the sum of its proper divisors (18212383616).

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

14232233344 is an equidigital number, since it uses as much as digits as its factorization.

14232233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20055 (or 20043 counting only the distinct ones).

The product of its digits is 41472, while the sum is 31.

Adding to 14232233344 its reverse (44333223241), we get a palindrome (58565456585).

The spelling of 14232233344 in words is "fourteen billion, two hundred thirty-two million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 827 896 1654 3308 5789 6616 11578 13232 19207 23156 26464 38414 46312 52928 76828 92624 105856 134449 153656 185248 268898 307312 370496 537796 614624 740992 1075592 1229248 2151184 2458496 4302368 8604736 15884189 17209472 31768378 63536756 111189323 127073512 222378646 254147024 444757292 508294048 889514584 1016588096 1779029168 2033176192 3558058336 7116116672 14232233344