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131411040410441 = 1114042385074797
BaseRepresentation
bin11101111000010010000100…
…011000100001101101001001
3122020021202212100111001012002
4131320102010120201231021
5114211014302321113231
61143253222031000345
736452064041252201
oct3570220430415511
9566252770431162
10131411040410441
1138965122484270
12128a440b6690b5
135843014594cac
142464484b97401
15102d481acb0cb
hex778484621b49

131411040410441 has 8 divisors (see below), whose sum is σ = 143358521212224. Its totient is φ = 119463730039120.

The previous prime is 131411040410333. The next prime is 131411040410491. The reversal of 131411040410441 is 144014040114131.

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 131411040410441 - 246 = 61042296232777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131411040410491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40992746 + ... + 44082051.

It is an arithmetic number, because the mean of its divisors is an integer number (17919815151528).

Almost surely, 2131411040410441 is an apocalyptic number.

131411040410441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131411040410441 is a deficient number, since it is larger than the sum of its proper divisors (11947480801783).

131411040410441 is a wasteful number, since it uses less digits than its factorization.

131411040410441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85215231.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 131411040410441 its reverse (144014040114131), we get a palindrome (275425080524572).

The spelling of 131411040410441 in words is "one hundred thirty-one trillion, four hundred eleven billion, forty million, four hundred ten thousand, four hundred forty-one".

Divisors: 1 11 140423 1544653 85074797 935822767 11946458219131 131411040410441