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1431314131341 = 31523313266389
BaseRepresentation
bin10100110101000000111…
…110000110100110001101
312001211110202001111011010
4110311000332012212031
5141422312404200331
63013311525115433
7205260204243423
oct24650076064615
95054422044133
101431314131341
11502020570686
121b1494258b79
13a4c84314083
144d3c13b3113
152737231ae46
hex14d40f8698d

1431314131341 has 8 divisors (see below), whose sum is σ = 1909671913440. Its totient is φ = 953582885072.

The previous prime is 1431314131297. The next prime is 1431314131349.

1431314131341 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1431314131341 - 214 = 1431314114957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1431314131299 and 1431314131308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431314131349) by changing a digit.

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, 156628626 + ... + 156637763.

It is an arithmetic number, because the mean of its divisors is an integer number (238708989180).

Almost surely, 21431314131341 is an apocalyptic number.

It is an amenable number.

1431314131341 is a deficient number, since it is larger than the sum of its proper divisors (478357782099).

1431314131341 is a wasteful number, since it uses less digits than its factorization.

1431314131341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313267915.

The product of its digits is 5184, while the sum is 30.

The spelling of 1431314131341 in words is "one trillion, four hundred thirty-one billion, three hundred fourteen million, one hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 1523 4569 313266389 939799167 477104710447 1431314131341