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131413340431441 = 1283831102360311
BaseRepresentation
bin11101111000010100001101…
…011110011010010001010001
3122020021222210122101012212001
4131320110031132122101101
5114211034010122301231
61143254242152234001
736452205040151605
oct3570241536322121
9566258718335761
10131413340431441
11389660a280a072
12128a495199b901
1358432bcc46873
14246462242d505
15102d5689a3b61
hex77850d79a451

131413340431441 has 4 divisors (see below), whose sum is σ = 131413444075584. Its totient is φ = 131413236787300.

The previous prime is 131413340431403. The next prime is 131413340431459. The reversal of 131413340431441 is 144134043314131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131413340431441 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131413340431441.

It is not an unprimeable number, because it can be changed into a prime (131413340432441) 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 3 ways as a sum of consecutive naturals, for example, 49896325 + ... + 52463986.

It is an arithmetic number, because the mean of its divisors is an integer number (32853361018896).

Almost surely, 2131413340431441 is an apocalyptic number.

It is an amenable number.

131413340431441 is a deficient number, since it is larger than the sum of its proper divisors (103644143).

131413340431441 is a wasteful number, since it uses less digits than its factorization.

131413340431441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103644142.

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 131413340431441 its reverse (144134043314131), we get a palindrome (275547383745572).

The spelling of 131413340431441 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty million, four hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 1283831 102360311 131413340431441