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44331257313 = 347211169377
BaseRepresentation
bin101001010010010110…
…010100110111100001
311020102112002012120000
4221102112110313201
51211242300213223
632210540410213
73126366320100
oct512226246741
9136375065500
1044331257313
1117889925842
128712546969
1342464c7105
142207910037
151246d92543
hexa52594de1

44331257313 has 30 divisors (see below), whose sum is σ = 77035200066. Its totient is φ = 25332144768.

The previous prime is 44331257309. The next prime is 44331257359. The reversal of 44331257313 is 31375213344.

44331257313 is a `hidden beast` number, since 4 + 4 + 331 + 2 + 5 + 7 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35625807504 + 8705449809 = 188748^2 + 93303^2 .

It is not a de Polignac number, because 44331257313 - 22 = 44331257309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44331257813) 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 29 ways as a sum of consecutive naturals, for example, 5580720 + ... + 5588657.

Almost surely, 244331257313 is an apocalyptic number.

It is an amenable number.

44331257313 is a deficient number, since it is larger than the sum of its proper divisors (32703942753).

44331257313 is a wasteful number, since it uses less digits than its factorization.

44331257313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169403 (or 11169387 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The spelling of 44331257313 in words is "forty-four billion, three hundred thirty-one million, two hundred fifty-seven thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 11169377 33508131 78185639 100524393 234556917 301573179 547299473 703670751 904719537 1641898419 2111012253 4925695257 6333036759 14777085771 44331257313