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14041221344 = 253118777541
BaseRepresentation
bin11010001001110110…
…00000100011100000
31100020120000221121222
431010323000203200
5212224023040334
610241144034212
71004645261243
oct150473004340
940216027558
1014041221344
115a559a3467
12287a462968
13142a0125c7
14972b6725a
15572a76d2e
hex344ec08e0

14041221344 has 48 divisors (see below), whose sum is σ = 28554374016. Its totient is φ = 6789619200.

The previous prime is 14041221319. The next prime is 14041221347. The reversal of 14041221344 is 44312214041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14041221347) by changing a digit.

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, 1858214 + ... + 1865754.

It is an arithmetic number, because the mean of its divisors is an integer number (594882792).

Almost surely, 214041221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14041221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277187008).

14041221344 is an abundant number, since it is smaller than the sum of its proper divisors (14513152672).

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

14041221344 is a wasteful number, since it uses less digits than its factorization.

14041221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9459 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 14041221344 its reverse (44312214041), we get a palindrome (58353435385).

The spelling of 14041221344 in words is "fourteen billion, forty-one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1877 3754 7508 7541 15016 15082 30032 30164 58187 60064 60328 116374 120656 232748 233771 241312 465496 467542 930992 935084 1861984 1870168 3740336 7480672 14154457 28308914 56617828 113235656 226471312 438788167 452942624 877576334 1755152668 3510305336 7020610672 14041221344