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14397129360 = 2432519996013
BaseRepresentation
bin11010110100010001…
…01100001010010000
31101011100201221122100
431122020230022100
5213441131114420
610340340240400
71016526403035
oct153210541220
941140657570
1014397129360
116118893419
1229596a0100
131485986973
149a813138c
15593e2b190
hex35a22c290

14397129360 has 60 divisors (see below), whose sum is σ = 48350361852. Its totient is φ = 3839234304.

The previous prime is 14397129359. The next prime is 14397129401. The reversal of 14397129360 is 6392179341.

14397129360 is a `hidden beast` number, since 1 + 439 + 71 + 2 + 93 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5171911056 + 9225218304 = 71916^2 + 96048^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9997287 + ... + 9998726.

Almost surely, 214397129360 is an apocalyptic number.

14397129360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14397129360 is an abundant number, since it is smaller than the sum of its proper divisors (33953232492).

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

14397129360 is a wasteful number, since it uses less digits than its factorization.

14397129360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19996032 (or 19996023 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 14397129360 in words is "fourteen billion, three hundred ninety-seven million, one hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19996013 39992026 59988039 79984052 99980065 119976078 159968104 179964117 199960130 239952156 299940195 319936208 359928234 399920260 479904312 599880390 719856468 799840520 899820585 959808624 1199760780 1439712936 1599681040 1799641170 2399521560 2879425872 3599282340 4799043120 7198564680 14397129360