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1314444264146 = 213180128070821
BaseRepresentation
bin10011001000001010111…
…110111100001011010010
311122122210212210002122022
4103020022332330023102
5133013440212423041
62443503010211442
7163652103616556
oct23101276741322
94578725702568
101314444264146
114674a8579682
121928b8883b82
1396c4a7752c0
1447895a69866
15242d206224b
hex1320afbc2d2

1314444264146 has 16 divisors (see below), whose sum is σ = 2124512092248. Its totient is φ = 606329712000.

The previous prime is 1314444264043. The next prime is 1314444264151. The reversal of 1314444264146 is 6414624444131.

It can be written as a sum of positive squares in 4 ways, for example, as 679775515225 + 634668748921 = 824485^2 + 796661^2 .

It is a super-2 number, since 2×13144442641462 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1314444264097 and 1314444264106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13988585 + ... + 14082236.

Almost surely, 21314444264146 is an apocalyptic number.

1314444264146 is a deficient number, since it is larger than the sum of its proper divisors (810067828102).

1314444264146 is a wasteful number, since it uses less digits than its factorization.

1314444264146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28072637.

The product of its digits is 884736, while the sum is 44.

The spelling of 1314444264146 in words is "one trillion, three hundred fourteen billion, four hundred forty-four million, two hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 13 26 1801 3602 23413 46826 28070821 56141642 364920673 729841346 50555548621 101111097242 657222132073 1314444264146