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1351414367140 = 225193350107349
BaseRepresentation
bin10011101010100110100…
…100101100001110100100
311210012020101112220211011
4103222212210230032210
5134120144034222030
62512455311552004
7166431210405445
oct23524644541644
94705211486734
101351414367140
1148114a1a7202
12199ab5b2b604
139a58cba61a6
14495a1a8b2cc
1525247a4bb2a
hex13aa692c3a4

1351414367140 has 24 divisors (see below), whose sum is σ = 2852674687800. Its totient is φ = 537764886528.

The previous prime is 1351414367137. The next prime is 1351414367167. The reversal of 1351414367140 is 417634141531.

It can be written as a sum of positive squares in 4 ways, for example, as 282709143616 + 1068705223524 = 531704^2 + 1033782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1351414367093 and 1351414367102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175049815 + ... + 175057534.

It is an arithmetic number, because the mean of its divisors is an integer number (118861445325).

Almost surely, 21351414367140 is an apocalyptic number.

1351414367140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351414367140 is an abundant number, since it is smaller than the sum of its proper divisors (1501260320660).

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

1351414367140 is a wasteful number, since it uses less digits than its factorization.

1351414367140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350107551 (or 350107549 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1351414367140 in words is "one trillion, three hundred fifty-one billion, four hundred fourteen million, three hundred sixty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 350107349 700214698 1400429396 1750536745 3501073490 7002146980 67570718357 135141436714 270282873428 337853591785 675707183570 1351414367140