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44343313664 = 281358722699
BaseRepresentation
bin101001010011000100…
…010100010100000000
311020110100202201202112
4221103010110110000
51211303342014124
632212051034452
73126603642566
oct512304242400
9136410681675
1044343313664
111789570a971
12871659ba28
134248b58950
14220936ba36
151247e7490e
hexa53114500

44343313664 has 72 divisors (see below), whose sum is σ = 95488730400. Its totient is φ = 20430379008.

The previous prime is 44343313661. The next prime is 44343313681. The reversal of 44343313664 is 46631334344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44343313661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1942187 + ... + 1964885.

Almost surely, 244343313664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44343313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47744365200).

44343313664 is an abundant number, since it is smaller than the sum of its proper divisors (51145416736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44343313664 is a wasteful number, since it uses less digits than its factorization.

44343313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23315 (or 23301 counting only the distinct ones).

The product of its digits is 746496, while the sum is 41.

The spelling of 44343313664 in words is "forty-four billion, three hundred forty-three million, three hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 587 832 1174 1664 2348 3328 4696 7631 9392 15262 18784 22699 30524 37568 45398 61048 75136 90796 122096 150272 181592 244192 295087 363184 488384 590174 726368 976768 1180348 1452736 1953536 2360696 2905472 4721392 5810944 9442784 13324313 18885568 26648626 37771136 53297252 75542272 106594504 173216069 213189008 346432138 426378016 692864276 852756032 1385728552 1705512064 2771457104 3411024128 5542914208 11085828416 22171656832 44343313664