Base | Representation |
---|---|
bin | 11101111000001100110100… |
… | …010101010011100011000001 |
3 | 122020021020022102121112020200 |
4 | 131320030310111103203001 |
5 | 114210421231004441231 |
6 | 1143250450345155413 |
7 | 36451504241164401 |
oct | 3570146425234301 |
9 | 566236272545220 |
10 | 131405402421441 |
11 | 38962799a31725 |
12 | 128a32b748bb69 |
13 | 58426264c9425 |
14 | 24640ac0a0801 |
15 | 102d251b50be6 |
hex | 7783345538c1 |
131405402421441 has 48 divisors (see below), whose sum is σ = 191224082671440. Its totient is φ = 86951851591680.
The previous prime is 131405402421421. The next prime is 131405402421479. The reversal of 131405402421441 is 144124204504131.
131405402421441 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 540 + 24 + 2 + 14 + 41 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 73229163219216 + 58176239202225 = 8557404^2 + 7627335^2 .
It is not a de Polignac number, because 131405402421441 - 210 = 131405402420417 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 131405402421396 and 131405402421405.
It is not an unprimeable number, because it can be changed into a prime (131405402421421) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10300644435 + ... + 10300657191.
It is an arithmetic number, because the mean of its divisors is an integer number (3983835055655).
Almost surely, 2131405402421441 is an apocalyptic number.
It is an amenable number.
131405402421441 is a deficient number, since it is larger than the sum of its proper divisors (59818680249999).
131405402421441 is a wasteful number, since it uses less digits than its factorization.
131405402421441 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 24626 (or 24623 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 131405402421441 its reverse (144124204504131), we get a palindrome (275529606925572).
The spelling of 131405402421441 in words is "one hundred thirty-one trillion, four hundred five billion, four hundred two million, four hundred twenty-one thousand, four hundred forty-one".
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