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14135316120 = 2332539264767
BaseRepresentation
bin11010010101000011…
…11100111010011000
31100111010002110101200
431022201330322120
5212422120103440
610254344514200
71010200130112
oct151241747230
940433073350
1014135316120
115aa4021242
1228a5a7b960
1314436692a3
1498145c3b2
1557ae61c30
hex34a87ce98

14135316120 has 48 divisors (see below), whose sum is σ = 45939778560. Its totient is φ = 3769417536.

The previous prime is 14135316119. The next prime is 14135316191. The reversal of 14135316120 is 2161353141.

It is a happy number.

14135316120 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 531 + 6 + 120 = 666.

14135316120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 19632024 + ... + 19632743.

It is an arithmetic number, because the mean of its divisors is an integer number (957078720).

Almost surely, 214135316120 is an apocalyptic number.

14135316120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14135316120 is an abundant number, since it is smaller than the sum of its proper divisors (31804462440).

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

14135316120 is a wasteful number, since it uses less digits than its factorization.

14135316120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39264784 (or 39264777 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 14135316120 its reverse (2161353141), we get a palindrome (16296669261).

The spelling of 14135316120 in words is "fourteen billion, one hundred thirty-five million, three hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 39264767 78529534 117794301 157059068 196323835 235588602 314118136 353382903 392647670 471177204 588971505 706765806 785295340 942354408 1177943010 1413531612 1570590680 1766914515 2355886020 2827063224 3533829030 4711772040 7067658060 14135316120