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14442861329 = 132938309977
BaseRepresentation
bin11010111001101110…
…01001001100010001
31101021112210101002222
431130313021030101
5214034333030304
610345052350425
71020623203301
oct153467111421
941245711088
1014442861329
116141689536
122970a75415
1314922a94c0
149b0237601
15597e614be
hex35cdc9311

14442861329 has 8 divisors (see below), whose sum is σ = 16090190760. Its totient is φ = 12872151936.

The previous prime is 14442861317. The next prime is 14442861331. The reversal of 14442861329 is 92316824441.

14442861329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4076567104 + 10366294225 = 63848^2 + 101815^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14442861329 - 24 = 14442861313 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14442861329.

It is not an unprimeable number, because it can be changed into a prime (14442861379) 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 7 ways as a sum of consecutive naturals, for example, 19154612 + ... + 19155365.

It is an arithmetic number, because the mean of its divisors is an integer number (2011273845).

Almost surely, 214442861329 is an apocalyptic number.

It is an amenable number.

14442861329 is a deficient number, since it is larger than the sum of its proper divisors (1647329431).

14442861329 is a wasteful number, since it uses less digits than its factorization.

14442861329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38310019.

The product of its digits is 331776, while the sum is 44.

The spelling of 14442861329 in words is "fourteen billion, four hundred forty-two million, eight hundred sixty-one thousand, three hundred twenty-nine".

Divisors: 1 13 29 377 38309977 498029701 1110989333 14442861329