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141040034410041 = 32133756957258841
BaseRepresentation
bin100000000100011001110001…
…001001100110111000111001
3200111101021222111110201021200
4200010121301021212320321
5121441244442302110131
61215544521453524413
741464543350642534
oct4004316111467071
9614337874421250
10141040034410041
1140a37819577a28
121399a6061a3709
136091030c18b60
1426b85346dba1b
151148b957852e6
hex804671266e39

141040034410041 has 48 divisors (see below), whose sum is σ = 225721226225040. Its totient is φ = 84299670743040.

The previous prime is 141040034409997. The next prime is 141040034410049. The reversal of 141040034410041 is 140014430040141.

141040034410041 is a `hidden beast` number, since 141 + 0 + 40 + 0 + 3 + 441 + 0 + 0 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 107997019641 + 140932037390400 = 328629^2 + 11871480^2 .

It is not a de Polignac number, because 141040034410041 - 246 = 70671290232377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141040034409987 and 141040034410014.

It is not an unprimeable number, because it can be changed into a prime (141040034410049) 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, 26166220 + ... + 31092621.

It is an arithmetic number, because the mean of its divisors is an integer number (4702525546355).

Almost surely, 2141040034410041 is an apocalyptic number.

It is an amenable number.

141040034410041 is a deficient number, since it is larger than the sum of its proper divisors (84681191814999).

141040034410041 is a wasteful number, since it uses less digits than its factorization.

141040034410041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57259466 (or 57259463 counting only the distinct ones).

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

Adding to 141040034410041 its reverse (140014430040141), we get a palindrome (281054464450182).

The spelling of 141040034410041 in words is "one hundred forty-one trillion, forty billion, thirty-four million, four hundred ten thousand, forty-one".

Divisors: 1 3 9 13 37 39 111 117 333 481 569 1443 1707 4329 5121 7397 21053 22191 63159 66573 189477 273689 821067 2463201 57258841 171776523 515329569 744364933 2118577117 2233094799 6355731351 6699284397 19067194053 27541502521 32580280529 82624507563 97740841587 247873522689 293222524761 423543646877 1205470379573 1270630940631 3616411138719 3811892821893 10849233416157 15671114934449 47013344803347 141040034410041