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1314034300431 = 33279717400049
BaseRepresentation
bin10011000111110010100…
…011000011011000001111
311122121202022100210011000
4103013302203003120033
5133012120240103211
62443354203231343
7163635665156226
oct23076243033017
94577668323130
101314034300431
11467308118896
12192803518553
1396bb3855818
144785742dcbd
15242ab081656
hex131f28c360f

1314034300431 has 16 divisors (see below), whose sum is σ = 1947413596000. Its totient is φ = 875709615744.

The previous prime is 1314034300427. The next prime is 1314034300433. The reversal of 1314034300431 is 1340034304131.

1314034300431 is a `hidden beast` number, since 1 + 314 + 0 + 3 + 4 + 300 + 43 + 1 = 666.

It is not a de Polignac number, because 1314034300431 - 22 = 1314034300427 is a prime.

It is a super-2 number, since 2×13140343004312 (a number of 25 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1314034300395 and 1314034300404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314034300433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8624506 + ... + 8775543.

It is an arithmetic number, because the mean of its divisors is an integer number (121713349750).

Almost surely, 21314034300431 is an apocalyptic number.

1314034300431 is a deficient number, since it is larger than the sum of its proper divisors (633379295569).

1314034300431 is a wasteful number, since it uses less digits than its factorization.

1314034300431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17402855 (or 17402849 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1314034300431 its reverse (1340034304131), we get a palindrome (2654068604562).

The spelling of 1314034300431 in words is "one trillion, three hundred fourteen billion, thirty-four million, three hundred thousand, four hundred thirty-one".

Divisors: 1 3 9 27 2797 8391 25173 75519 17400049 52200147 156600441 469801323 48667937053 146003811159 438011433477 1314034300431