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4431444241341 = 3131953112836917
BaseRepresentation
bin100000001111100011010…
…1010001110101110111101
3120200122022222011000222010
41000133012222032232331
51040101044211210331
613231435525241433
7635106214360125
oct100370652165675
916618288130863
104431444241341
111459401823987
125b6a15863279
13261b63a9a830
141146a9697c85
157a4131b0e46
hex407c6a8ebbd

4431444241341 has 32 divisors (see below), whose sum is σ = 6824376800640. Its totient is φ = 2534768481024.

The previous prime is 4431444241333. The next prime is 4431444241349. The reversal of 4431444241341 is 1431424441344.

It is an interprime number because it is at equal distance from previous prime (4431444241333) and next prime (4431444241349).

It is not a de Polignac number, because 4431444241341 - 23 = 4431444241333 is a prime.

It is a super-2 number, since 2×44314442413412 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4431444241341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4431444241349) 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 31 ways as a sum of consecutive naturals, for example, 56379186 + ... + 56457731.

It is an arithmetic number, because the mean of its divisors is an integer number (213261775020).

Almost surely, 24431444241341 is an apocalyptic number.

It is an amenable number.

4431444241341 is a deficient number, since it is larger than the sum of its proper divisors (2392932559299).

4431444241341 is a wasteful number, since it uses less digits than its factorization.

4431444241341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112837005.

The product of its digits is 294912, while the sum is 39.

Adding to 4431444241341 its reverse (1431424441344), we get a palindrome (5862868682685).

The spelling of 4431444241341 in words is "four trillion, four hundred thirty-one billion, four hundred forty-four million, two hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 13 19 39 53 57 159 247 689 741 1007 2067 3021 13091 39273 112836917 338510751 1466879921 2143901423 4400639763 5980356601 6431704269 17941069803 27870718499 77744635813 83612155497 113626775419 233233907439 340880326257 1477148080447 4431444241341