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413244012341 = 2931228152769
BaseRepresentation
bin1100000001101110100…
…00110011011100110101
31110111122200111220110102
412000313100303130311
523232310431343331
6513501445203445
741566400101616
oct6006720633465
91414580456412
10413244012341
1114a28a520946
126810a700585
132cc79437234
14160030c9c0d
15ab3949a4cb
hex6037433735

413244012341 has 24 divisors (see below), whose sum is σ = 443309160600. Its totient is φ = 384742041600.

The previous prime is 413244012317. The next prime is 413244012343. The reversal of 413244012341 is 143210442314.

It can be written as a sum of positive squares in 4 ways, for example, as 54910080241 + 358333932100 = 234329^2 + 598610^2 .

It is a de Polignac number, because none of the positive numbers 2k-413244012341 is a prime.

It is a super-2 number, since 2×4132440123412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413244012343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7804805 + ... + 7857573.

It is an arithmetic number, because the mean of its divisors is an integer number (18471215025).

Almost surely, 2413244012341 is an apocalyptic number.

It is an amenable number.

413244012341 is a deficient number, since it is larger than the sum of its proper divisors (30065148259).

413244012341 is a wasteful number, since it uses less digits than its factorization.

413244012341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53141 (or 53110 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 413244012341 its reverse (143210442314), we get a palindrome (556454454655).

The spelling of 413244012341 in words is "four hundred thirteen billion, two hundred forty-four million, twelve thousand, three hundred forty-one".

Divisors: 1 29 31 281 899 961 8149 8711 27869 52769 252619 270041 1530301 1635839 7831189 14828089 47439331 50711009 430014581 459670759 1470619261 13330452011 14249793529 413244012341