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14400044192 = 252915517289
BaseRepresentation
bin11010110100100111…
…10011110010100000
31101011120020001001002
431122103303302200
5213442402403232
610340522531132
71016563233062
oct153223636240
941146201032
1014400044192
11611a4a4376
12295a666aa8
131486467611
149a868d732
15594304b62
hex35a4f3ca0

14400044192 has 24 divisors (see below), whose sum is σ = 29327678100. Its totient is φ = 6951745024.

The previous prime is 14400044189. The next prime is 14400044213. The reversal of 14400044192 is 29144000441.

14400044192 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 2 ways, for example, as 14274514576 + 125529616 = 119476^2 + 11204^2 .

It is a super-2 number, since 2×144000441922 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7757717 + ... + 7759572.

Almost surely, 214400044192 is an apocalyptic number.

It is an amenable number.

14400044192 is an abundant number, since it is smaller than the sum of its proper divisors (14927633908).

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

14400044192 is a wasteful number, since it uses less digits than its factorization.

14400044192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15517328 (or 15517320 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 14400044192 in words is "fourteen billion, four hundred million, forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 15517289 31034578 62069156 124138312 248276624 450001381 496553248 900002762 1800005524 3600011048 7200022096 14400044192