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44308141248 = 2637154921283
BaseRepresentation
bin101001010000111110…
…001001010011000000
311020100220120210021110
4221100332021103000
51211220341004443
632204353123320
73125665662240
oct512076112300
9136326523243
1044308141248
1117877877358
128706859540
134241792577
142204813b20
151244d28233
hexa50f894c0

44308141248 has 112 divisors (see below), whose sum is σ = 134072172800. Its totient is φ = 12650701824.

The previous prime is 44308141219. The next prime is 44308141259. The reversal of 44308141248 is 84214180344.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×443081412482 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071215 + ... + 2092497.

Almost surely, 244308141248 is an apocalyptic number.

44308141248 is a gapful number since it is divisible by the number (48) 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 44308141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67036086400).

44308141248 is an abundant number, since it is smaller than the sum of its proper divisors (89764031552).

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

44308141248 is a wasteful number, since it uses less digits than its factorization.

44308141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22854 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 44308141248 in words is "forty-four billion, three hundred eight million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1549 3098 4647 6196 9294 10843 12392 18588 21283 21686 24784 32529 37176 42566 43372 49568 63849 65058 74352 85132 86744 99136 127698 130116 148704 148981 170264 173488 255396 260232 297408 297962 340528 346976 446943 510792 520464 595924 681056 693952 893886 1021584 1040928 1191848 1362112 1787772 2043168 2081856 2383696 3575544 4086336 4767392 7151088 9534784 14302176 28604352 32967367 65934734 98902101 131869468 197804202 230771569 263738936 395608404 461543138 527477872 692314707 791216808 923086276 1054955744 1384629414 1582433616 1846172552 2109911488 2769258828 3164867232 3692345104 5538517656 6329734464 7384690208 11077035312 14769380416 22154070624 44308141248