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441266320200105 = 32537265024816937
BaseRepresentation
bin110010001010101000101001…
…0010001000101000110101001
32010212101122111120001110211100
41210111101102101011012221
5430314201410432400410
64202254540551552013
7161642303526056241
oct14425212221050651
92125348446043740
10441266320200105
11118667aa4a66794
12415a845198b609
1315c2b30a37746a
147ad7592260b21
15360353a0708c0
hex19154524451a9

441266320200105 has 24 divisors (see below), whose sum is σ = 785533557404232. Its totient is φ = 228981441832704.

The previous prime is 441266320200061. The next prime is 441266320200149. The reversal of 441266320200105 is 501002023662144.

441266320200105 is a `hidden beast` number, since 4 + 4 + 1 + 2 + 6 + 632 + 0 + 2 + 0 + 0 + 10 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (441266320200061) and next prime (441266320200149).

It can be written as a sum of positive squares in 4 ways, for example, as 114984380347929 + 326281939852176 = 10723077^2 + 18063276^2 .

It is not a de Polignac number, because 441266320200105 - 226 = 441266253091241 is a prime.

It is a super-2 number, since 2×4412663202001052 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 441266320200105.

It is an unprimeable number.

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, 132512406804 + ... + 132512410133.

It is an arithmetic number, because the mean of its divisors is an integer number (32730564891843).

Almost surely, 2441266320200105 is an apocalyptic number.

441266320200105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441266320200105 is a deficient number, since it is larger than the sum of its proper divisors (344267237204127).

441266320200105 is a wasteful number, since it uses less digits than its factorization.

441266320200105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265024816985 (or 265024816982 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 441266320200105 its reverse (501002023662144), we get a palindrome (942268343862249).

The spelling of 441266320200105 in words is "four hundred forty-one trillion, two hundred sixty-six billion, three hundred twenty million, two hundred thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 265024816937 795074450811 1325124084685 2385223352433 3975372254055 9805918226669 11926116762165 29417754680007 49029591133345 88253264040021 147088773400035 441266320200105