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1314045460120 = 23532851136503
BaseRepresentation
bin10011000111110011001…
…101100111111010011000
311122121210002100202100211
4103013303031213322120
5133012131114210440
62443355242340504
7163636162055611
oct23076315477230
94577702322324
101314045460120
11467313450278
121928071ba734
1396bb5c621a3
1447858ad6c08
15242ac037eea
hex131f3367e98

1314045460120 has 16 divisors (see below), whose sum is σ = 2956602285360. Its totient is φ = 525618184032.

The previous prime is 1314045460103. The next prime is 1314045460129. The reversal of 1314045460120 is 210645404131.

It is a super-3 number, since 3×13140454601203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314045460129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16425568212 + ... + 16425568291.

It is an arithmetic number, because the mean of its divisors is an integer number (184787642835).

Almost surely, 21314045460120 is an apocalyptic number.

1314045460120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314045460120 is an abundant number, since it is smaller than the sum of its proper divisors (1642556825240).

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

1314045460120 is a wasteful number, since it uses less digits than its factorization.

1314045460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32851136514 (or 32851136510 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 1314045460120 in words is "one trillion, three hundred fourteen billion, forty-five million, four hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 32851136503 65702273006 131404546012 164255682515 262809092024 328511365030 657022730060 1314045460120