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44101441241 = 11213237331663
BaseRepresentation
bin101001000100101001…
…101001011011011001
311012211111122100011122
4221010221221123121
51210304432104431
632132050535025
73120606031304
oct510451513331
9135744570148
1044101441241
1117781128600
128669597475
13420aa00780
1421c51a9b3b
151231ae8a7b
hexa44a696d9

44101441241 has 48 divisors (see below), whose sum is σ = 54580850688. Its totient is φ = 35329599360.

The previous prime is 44101441231. The next prime is 44101441243. The reversal of 44101441241 is 14214410144.

It is not a de Polignac number, because 44101441241 - 218 = 44101179097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 44101441241.

It is not an unprimeable number, because it can be changed into a prime (44101441243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26518376 + ... + 26520038.

It is an arithmetic number, because the mean of its divisors is an integer number (1137101056).

Almost surely, 244101441241 is an apocalyptic number.

It is an amenable number.

44101441241 is a deficient number, since it is larger than the sum of its proper divisors (10479409447).

44101441241 is a wasteful number, since it uses less digits than its factorization.

44101441241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 44101441241 its reverse (14214410144), we get a palindrome (58315851385).

The spelling of 44101441241 in words is "forty-four billion, one hundred one million, four hundred forty-one thousand, two hundred forty-one".

Divisors: 1 11 13 23 121 143 253 299 733 1573 1663 2783 3289 8063 9529 16859 18293 21619 36179 38249 88693 104819 185449 201223 219167 237809 420739 497237 1153009 1218979 2039939 2410837 2615899 4628129 5469607 13408769 15846727 26519207 28036517 60165677 147496459 174313997 308401687 364474721 1917453967 3392418557 4009221931 44101441241