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10404412131141 = 327318151917447
BaseRepresentation
bin1001011101100111011101…
…0010100000011101000101
31100211122121101000002220200
42113121313102200131011
52330431214001144031
634043415420321113
72122460013630360
oct227316722403505
940748541002820
1010404412131141
113351539450896
1212005406a3199
135a61938b6442
1427d80d2870d7
15130998d6e8e6
hex976774a0745

10404412131141 has 24 divisors (see below), whose sum is σ = 17180937231744. Its totient is φ = 5943509218080.

The previous prime is 10404412131073. The next prime is 10404412131143. The reversal of 10404412131141 is 14113121440401.

10404412131141 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 441 + 213 + 1 + 1 + 4 + 1 = 666.

10404412131141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10404412131141 - 223 = 10404403742533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10404412131143) 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, 25758321 + ... + 26159126.

It is an arithmetic number, because the mean of its divisors is an integer number (715872384656).

Almost surely, 210404412131141 is an apocalyptic number.

It is an amenable number.

10404412131141 is a deficient number, since it is larger than the sum of its proper divisors (6776525100603).

10404412131141 is a wasteful number, since it uses less digits than its factorization.

10404412131141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51920641 (or 51920638 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10404412131141 its reverse (14113121440401), we get a palindrome (24517533571542).

The spelling of 10404412131141 in words is "ten trillion, four hundred four billion, four hundred twelve million, one hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 63 3181 9543 22267 28629 66801 200403 51917447 155752341 363422129 467257023 1090266387 3270799161 165149398907 495448196721 1156045792349 1486344590163 3468137377047 10404412131141