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44343848440 = 23519337173137
BaseRepresentation
bin101001010011000110…
…010110110111111000
311020110101202220100001
4221103012112313320
51211304011122230
632212110322344
73126611330653
oct512306266770
9136411686301
1044343848440
1117895a45731
1287167b93b4
134248cb5198
14220946a89a
15124802d0ca
hexa53196df8

44343848440 has 64 divisors (see below), whose sum is σ = 105337159200. Its totient is φ = 16754024448.

The previous prime is 44343848333. The next prime is 44343848443. The reversal of 44343848440 is 4484834344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44343848443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 169552 + ... + 342688.

Almost surely, 244343848440 is an apocalyptic number.

44343848440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44343848440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668579600).

44343848440 is an abundant number, since it is smaller than the sum of its proper divisors (60993310760).

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

44343848440 is a wasteful number, since it uses less digits than its factorization.

44343848440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173504 (or 173500 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 44343848440 in words is "forty-four billion, three hundred forty-three million, eight hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 337 380 674 760 1348 1685 2696 3370 6403 6740 12806 13480 25612 32015 51224 64030 128060 173137 256120 346274 692548 865685 1385096 1731370 3289603 3462740 6579206 6925480 13158412 16448015 26316824 32896030 58347169 65792060 116694338 131584120 233388676 291735845 466777352 583471690 1108596211 1166943380 2217192422 2333886760 4434384844 5542981055 8868769688 11085962110 22171924220 44343848440