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41304234344013 = 3229175393902281
BaseRepresentation
bin10010110010000111001000…
…01101110011111001001101
312102020122110002221102112200
421121003210031303321031
520403212032443002023
6223502523040352113
711462063301046404
oct1131034415637115
9172218402842480
1041304234344013
1112185033540623
124771054615639
131a07c84a03bb4
14a2b1c817a63b
154b9640757743
hex2590e4373e4d

41304234344013 has 24 divisors (see below), whose sum is σ = 61719391152120. Its totient is φ = 26586452551680.

The previous prime is 41304234344011. The next prime is 41304234344027. The reversal of 41304234344013 is 31044343240314.

41304234344013 is a `hidden beast` number, since 4 + 1 + 304 + 2 + 3 + 4 + 344 + 0 + 1 + 3 = 666.

41304234344013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5426206854084 + 35878027489929 = 2329422^2 + 5989827^2 .

It is not a de Polignac number, because 41304234344013 - 21 = 41304234344011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41304234344011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45326433 + ... + 46228713.

It is an arithmetic number, because the mean of its divisors is an integer number (2571641298005).

Almost surely, 241304234344013 is an apocalyptic number.

It is an amenable number.

41304234344013 is a deficient number, since it is larger than the sum of its proper divisors (20415156808107).

41304234344013 is a wasteful number, since it uses less digits than its factorization.

41304234344013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077709 (or 1077706 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 41304234344013 its reverse (31044343240314), we get a palindrome (72348577584327).

The spelling of 41304234344013 in words is "forty-one trillion, three hundred four billion, two hundred thirty-four million, three hundred forty-four thousand, thirteen".

Divisors: 1 3 9 29 87 261 175393 526179 902281 1578537 2706843 5086397 8120529 15259191 26166149 45777573 78498447 235495341 158253771433 474761314299 1424283942897 4589359371557 13768078114671 41304234344013