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14132142306 = 233582144959
BaseRepresentation
bin11010010100101011…
…10110000011100010
31100110220010012202000
431022111312003202
5212420312023211
610254152504430
71010131141032
oct151225660342
940426105660
1014132142306
115aa2253757
1228a49ab116
131442ac77a9
14980c738c2
1557aa36656
hex34a5760e2

14132142306 has 32 divisors (see below), whose sum is σ = 31410854400. Its totient is φ = 4709800080.

The previous prime is 14132142281. The next prime is 14132142377. The reversal of 14132142306 is 60324123141.

It is a happy number.

14132142306 is a `hidden beast` number, since 1 + 413 + 2 + 14 + 230 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 14132142306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291855 + ... + 336813.

It is an arithmetic number, because the mean of its divisors is an integer number (981589200).

Almost surely, 214132142306 is an apocalyptic number.

14132142306 is an abundant number, since it is smaller than the sum of its proper divisors (17278712094).

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

14132142306 is a wasteful number, since it uses less digits than its factorization.

14132142306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50791 (or 50785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14132142306 its reverse (60324123141), we get a palindrome (74456265447).

The spelling of 14132142306 in words is "fourteen billion, one hundred thirty-two million, one hundred forty-two thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 5821 11642 17463 34926 44959 52389 89918 104778 134877 157167 269754 314334 404631 809262 1213893 2427786 261706339 523412678 785119017 1570238034 2355357051 4710714102 7066071153 14132142306