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441001042040331 = 32241203319982499
BaseRepresentation
bin110010001000101101000111…
…0011101001101011000001011
32010211110021202212101200112200
41210101122032131031120023
5430300330113230242311
64201533025404211243
7161614162634652513
oct14421321635153013
92124407685350480
10441001042040331
111185755453a3a13
1241564b58839b23
1315c0c2b1c4a656
147ac87c86dc843
1535eb6b0ce9556
hex191168e74d60b

441001042040331 has 12 divisors (see below), whose sum is σ = 639644664945000. Its totient is φ = 292780774797120.

The previous prime is 441001042040329. The next prime is 441001042040371. The reversal of 441001042040331 is 133040240100144.

441001042040331 is a `hidden beast` number, since 4 + 4 + 100 + 104 + 20 + 403 + 31 = 666.

It is not a de Polignac number, because 441001042040331 - 21 = 441001042040329 is a prime.

It is a super-2 number, since 2×4410010420403312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441001042040295 and 441001042040304.

It is not an unprimeable number, because it can be changed into a prime (441001042040311) 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 11 ways as a sum of consecutive naturals, for example, 101659989081 + ... + 101659993418.

It is an arithmetic number, because the mean of its divisors is an integer number (53303722078750).

Almost surely, 2441001042040331 is an apocalyptic number.

441001042040331 is a deficient number, since it is larger than the sum of its proper divisors (198643622904669).

441001042040331 is a wasteful number, since it uses less digits than its factorization.

441001042040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203319982746 (or 203319982743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 441001042040331 its reverse (133040240100144), we get a palindrome (574041282140475).

It can be divided in two parts, 4410010 and 42040331, that added together give a triangular number (46450341 = T9638).

The spelling of 441001042040331 in words is "four hundred forty-one trillion, one billion, forty-two million, forty thousand, three hundred thirty-one".

Divisors: 1 3 9 241 723 2169 203319982499 609959947497 1829879842491 49000115782259 147000347346777 441001042040331