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44114130440 = 23547124918787
BaseRepresentation
bin101001000101011010…
…000011011000001000
311012212101112000110222
4221011122003120020
51210321204133230
632133222525212
73121121631122
oct510532033010
9135771460428
1044114130440
1117788305146
128671896808
134210524383
1421c6b50212
151232ca36e5
hexa45683608

44114130440 has 64 divisors (see below), whose sum is σ = 101455200000. Its totient is φ = 17255467008.

The previous prime is 44114130439. The next prime is 44114130449. The reversal of 44114130440 is 4403141144.

It is not an unprimeable number, because it can be changed into a prime (44114130449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338727 + ... + 2357513.

It is an arithmetic number, because the mean of its divisors is an integer number (1585237500).

Almost surely, 244114130440 is an apocalyptic number.

44114130440 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 44114130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50727600000).

44114130440 is an abundant number, since it is smaller than the sum of its proper divisors (57341069560).

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

44114130440 is a wasteful number, since it uses less digits than its factorization.

44114130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20094 (or 20090 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 44114130440 its reverse (4403141144), we get a palindrome (48517271584).

The spelling of 44114130440 in words is "forty-four billion, one hundred fourteen million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1249 1880 2498 4996 6245 9992 12490 18787 24980 37574 49960 58703 75148 93935 117406 150296 187870 234812 293515 375740 469624 587030 751480 882989 1174060 1765978 2348120 3531956 4414945 7063912 8829890 17659780 23464963 35319560 46929926 93859852 117324815 187719704 234649630 469299260 938598520 1102853261 2205706522 4411413044 5514266305 8822826088 11028532610 22057065220 44114130440