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14400314424 = 2332200004367
BaseRepresentation
bin11010110100101001…
…10101110000111000
31101011120201202201200
431122110311300320
5213442440030144
610340532414200
71016565436656
oct153224656070
941146652650
1014400314424
11611a669401
12295a777360
131486530612
149a871ddd6
15594359c69
hex35a535c38

14400314424 has 24 divisors (see below), whose sum is σ = 39000851760. Its totient is φ = 4800104784.

The previous prime is 14400314387. The next prime is 14400314431. The reversal of 14400314424 is 42441300441.

14400314424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 100002112 + ... + 100002255.

It is an arithmetic number, because the mean of its divisors is an integer number (1625035490).

Almost surely, 214400314424 is an apocalyptic number.

It is an amenable number.

14400314424 is an abundant number, since it is smaller than the sum of its proper divisors (24600537336).

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

14400314424 is a wasteful number, since it uses less digits than its factorization.

14400314424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200004379 (or 200004372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14400314424 its reverse (42441300441), we get a palindrome (56841614865).

The spelling of 14400314424 in words is "fourteen billion, four hundred million, three hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 200004367 400008734 600013101 800017468 1200026202 1600034936 1800039303 2400052404 3600078606 4800104808 7200157212 14400314424