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1314226353141 = 321311232703873
BaseRepresentation
bin10011000111111101111…
…111101011001111110101
311122122020200202001221100
4103013331333223033311
5133013013421300031
62443425223440313
7163643516453532
oct23077577531765
94578220661840
101314226353141
114673a6572939
121928578b6099
1396c14589690
1447874b43d89
15242bcd6ade6
hex131fdfeb3f5

1314226353141 has 12 divisors (see below), whose sum is σ = 2044352105068. Its totient is φ = 808754678784.

The previous prime is 1314226353133. The next prime is 1314226353149. The reversal of 1314226353141 is 1413536224131.

1314226353141 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 2 + 635 + 3 + 14 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1314226353133) and next prime (1314226353149).

It can be written as a sum of positive squares in 2 ways, for example, as 454997466225 + 859228886916 = 674535^2 + 926946^2 .

It is not a de Polignac number, because 1314226353141 - 23 = 1314226353133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314226353096 and 1314226353105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314226353149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5616351820 + ... + 5616352053.

Almost surely, 21314226353141 is an apocalyptic number.

It is an amenable number.

1314226353141 is a deficient number, since it is larger than the sum of its proper divisors (730125751927).

1314226353141 is a wasteful number, since it uses less digits than its factorization.

1314226353141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11232703892 (or 11232703889 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 1314226353141 in words is "one trillion, three hundred fourteen billion, two hundred twenty-six million, three hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 11232703873 33698111619 101094334857 146025150349 438075451047 1314226353141