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1314012100014 = 232185767392969
BaseRepresentation
bin10011000111110001001…
…110010111010110101110
311122121200202120212220100
4103013301032113112232
5133012044044200024
62443352051331530
7163635305364045
oct23076116272656
94577622525810
101314012100014
114672a6635339
121927b7bb0ba6
1396bac081993
14478544d155c
15242a91487c9
hex131f13975ae

1314012100014 has 24 divisors (see below), whose sum is σ = 2847048787440. Its totient is φ = 438000560928.

The previous prime is 1314012099997. The next prime is 1314012100019. The reversal of 1314012100014 is 4100012104131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1314012100014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314012100019) 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 11 ways as a sum of consecutive naturals, for example, 3147322 + ... + 3540290.

It is an arithmetic number, because the mean of its divisors is an integer number (118627032810).

Almost surely, 21314012100014 is an apocalyptic number.

1314012100014 is an abundant number, since it is smaller than the sum of its proper divisors (1533036687426).

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

1314012100014 is a wasteful number, since it uses less digits than its factorization.

1314012100014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578744 (or 578741 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1314012100014 its reverse (4100012104131), we get a palindrome (5414024204145).

The spelling of 1314012100014 in words is "one trillion, three hundred fourteen billion, twelve million, one hundred thousand, fourteen".

Divisors: 1 2 3 6 9 18 185767 371534 392969 557301 785938 1114602 1178907 1671903 2357814 3343806 3536721 7073442 73000672223 146001344446 219002016669 438004033338 657006050007 1314012100014