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444441143133 = 34134019105019
BaseRepresentation
bin1100111011110101100…
…00011010011101011101
31120111011212102100120000
412131322300122131131
524240203413040013
6540101244044513
744052444245661
oct6357260323535
91514155370500
10444441143133
11161539490a69
1272176533739
1332bab82a840
14177225188a1
15b863244973
hex677ac1a75d

444441143133 has 40 divisors (see below), whose sum is σ = 715173597600. Its totient is φ = 273431585952.

The previous prime is 444441143131. The next prime is 444441143137. The reversal of 444441143133 is 331341144444.

444441143133 is a `hidden beast` number, since 4 + 44 + 441 + 1 + 43 + 133 = 666.

It is not a de Polignac number, because 444441143133 - 21 = 444441143131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444441143131) 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 39 ways as a sum of consecutive naturals, for example, 4179498 + ... + 4284516.

It is an arithmetic number, because the mean of its divisors is an integer number (17879339940).

Almost surely, 2444441143133 is an apocalyptic number.

It is an amenable number.

444441143133 is a deficient number, since it is larger than the sum of its proper divisors (270732454467).

444441143133 is a wasteful number, since it uses less digits than its factorization.

444441143133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109063 (or 109054 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 444441143133 its reverse (331341144444), we get a palindrome (775782287577).

The spelling of 444441143133 in words is "four hundred forty-four billion, four hundred forty-one million, one hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 4019 12057 36171 52247 105019 108513 156741 315057 325539 470223 945171 1365247 1410669 2835513 4095741 4232007 8506539 12287223 36861669 110585007 422071361 1266214083 3798642249 5486927693 11395926747 16460783079 34187780241 49382349237 148147047711 444441143133