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44131613144 = 2331193922021
BaseRepresentation
bin101001000110011100…
…101111100111011000
311012220121102020020112
4221012130233213120
51210340143110034
632135045343452
73121423344113
oct510634574730
9135817366215
1044131613144
1117797166163
128677707b88
134214035a78
1421c91c157a
1512345a87ce
hexa4672f9d8

44131613144 has 32 divisors (see below), whose sum is σ = 85858688640. Its totient is φ = 21243340800.

The previous prime is 44131613111. The next prime is 44131613173.

44131613144 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44131613144.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 413147 + ... + 508874.

It is an arithmetic number, because the mean of its divisors is an integer number (2683084020).

Almost surely, 244131613144 is an apocalyptic number.

It is an amenable number.

44131613144 is a deficient number, since it is larger than the sum of its proper divisors (41727075496).

44131613144 is a wasteful number, since it uses less digits than its factorization.

44131613144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922251 (or 922247 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 44131613144 in words is "forty-four billion, one hundred thirty-one million, six hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 31 62 124 193 248 386 772 1544 5983 11966 23932 47864 922021 1844042 3688084 7376168 28582651 57165302 114330604 177950053 228661208 355900106 711800212 1423600424 5516451643 11032903286 22065806572 44131613144