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404124121341 = 32292897534473
BaseRepresentation
bin1011110000101111010…
…11001011100011111101
31102122010002211102220200
411320113223023203331
523110121233340331
6505352502234113
741124400232253
oct5702753134375
91378102742820
10404124121341
1114642a592846
12663a4425939
132c154b9a825
14157b9bc65d3
15a7a39da5e6
hex5e17acb8fd

404124121341 has 24 divisors (see below), whose sum is σ = 604073204280. Its totient is φ = 260035593216.

The previous prime is 404124121327. The next prime is 404124121351. The reversal of 404124121341 is 143121421404.

404124121341 is a `hidden beast` number, since 40 + 41 + 241 + 2 + 1 + 341 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87751620441 + 316372500900 = 296229^2 + 562470^2 .

It is not a de Polignac number, because 404124121341 - 25 = 404124121309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404124121351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488881 + ... + 1023353.

It is an arithmetic number, because the mean of its divisors is an integer number (25169716845).

Almost surely, 2404124121341 is an apocalyptic number.

It is an amenable number.

404124121341 is a deficient number, since it is larger than the sum of its proper divisors (199949082939).

404124121341 is a wasteful number, since it uses less digits than its factorization.

404124121341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537405 (or 537402 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 404124121341 its reverse (143121421404), we get a palindrome (547245542745).

The spelling of 404124121341 in words is "four hundred four billion, one hundred twenty-four million, one hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 3 9 29 87 261 2897 8691 26073 84013 252039 534473 756117 1603419 4810257 15499717 46499151 139497453 1548368281 4645104843 13935314529 44902680149 134708040447 404124121341