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131405402421441 = 321815691111312757
BaseRepresentation
bin11101111000001100110100…
…010101010011100011000001
3122020021020022102121112020200
4131320030310111103203001
5114210421231004441231
61143250450345155413
736451504241164401
oct3570146425234301
9566236272545220
10131405402421441
1138962799a31725
12128a32b748bb69
1358426264c9425
1424640ac0a0801
15102d251b50be6
hex7783345538c1

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".

Divisors: 1 3 9 181 543 569 1629 1707 5121 11113 12757 33339 38271 100017 102989 114813 308967 926901 2011453 2309017 6034359 6323297 6927051 7258733 18103077 18969891 20781153 21776199 56909673 65328597 141768541 425305623 1144516757 1275916869 1313830673 3433550271 3941492019 10300650813 11824476057 25660105921 76980317763 80666299829 230940953289 241998899487 725996698461 14600600269049 43801800807147 131405402421441