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44033144241213 = 3315110800378769
BaseRepresentation
bin10100000001100010000111…
…11010111011110000111101
312202220112020112100121201000
422000301003322323300331
521232414334411204323
6233352314110240513
712163201235334531
oct1200610372736075
9182815215317630
1044033144241213
1113037395a89726
124b31b02ab6139
131b753ccca343a
14ac3303695bc1
1551560a887e43
hex280c43ebbc3d

44033144241213 has 16 divisors (see below), whose sum is σ = 65666302921600. Its totient is φ = 29161022673600.

The previous prime is 44033144241209. The next prime is 44033144241323. The reversal of 44033144241213 is 31214244133044.

44033144241213 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 3 + 14 + 424 + 1 + 213 = 666.

44033144241213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44033144241213 - 22 = 44033144241209 is a prime.

It is a super-2 number, since 2×440331442412132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44033144241913) 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 15 ways as a sum of consecutive naturals, for example, 5400185308 + ... + 5400193461.

It is an arithmetic number, because the mean of its divisors is an integer number (4104143932600).

Almost surely, 244033144241213 is an apocalyptic number.

It is an amenable number.

44033144241213 is a deficient number, since it is larger than the sum of its proper divisors (21633158680387).

44033144241213 is a wasteful number, since it uses less digits than its factorization.

44033144241213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10800378929 (or 10800378923 counting only the distinct ones).

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

Adding to 44033144241213 its reverse (31214244133044), we get a palindrome (75247388374257).

The spelling of 44033144241213 in words is "forty-four trillion, thirty-three billion, one hundred forty-four million, two hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 9 27 151 453 1359 4077 10800378769 32401136307 97203408921 291610226763 1630857194119 4892571582357 14677714747071 44033144241213