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14006824352 = 251493293177
BaseRepresentation
bin11010000101101111…
…10010110110100000
31100011011022101211022
431002313302312200
5212141221334402
610233514505012
71004050020413
oct150267626640
940134271738
1014006824352
115a3853a4a4
12286aa35168
131422b5b161
1496c371b7a
1556ea302a2
hex342df2da0

14006824352 has 24 divisors (see below), whose sum is σ = 27594499716. Its totient is φ = 6998697472.

The previous prime is 14006824309. The next prime is 14006824367. The reversal of 14006824352 is 25342860041.

14006824352 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 13970294416 + 36529936 = 118196^2 + 6044^2 .

It is a super-2 number, since 2×140068243522 (a number of 21 digits) contains 22 as substring.

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, 98813 + ... + 194364.

Almost surely, 214006824352 is an apocalyptic number.

It is an amenable number.

14006824352 is a deficient number, since it is larger than the sum of its proper divisors (13587675364).

14006824352 is a wasteful number, since it uses less digits than its factorization.

14006824352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294680 (or 294672 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 14006824352 in words is "fourteen billion, six million, eight hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 1493 2986 5972 11944 23888 47776 293177 586354 1172708 2345416 4690832 9381664 437713261 875426522 1750853044 3501706088 7003412176 14006824352