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44268003328 = 21319214969
BaseRepresentation
bin101001001110100101…
…000010000000000000
311020021010001120101211
4221032211002000000
51211130102101303
632200400535504
73125000551123
oct511645020000
9136233046354
1044268003328
111785715211a
1286b5321594
13423637b013
1421dd3663ba
15124154a66d
hexa4e942000

44268003328 has 84 divisors (see below), whose sum is σ = 93441587310. Its totient is φ = 20967653376.

The previous prime is 44268003313. The next prime is 44268003337. The reversal of 44268003328 is 82330086244.

It can be written as a sum of positive squares in only one way, i.e., 44254695424 + 13307904 = 210368^2 + 3648^2 .

It is a super-2 number, since 2×442680033282 (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 5 ways as a sum of consecutive naturals, for example, 2949828 + ... + 2964796.

Almost surely, 244268003328 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 44268003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720793655).

44268003328 is an abundant number, since it is smaller than the sum of its proper divisors (49173583982).

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

44268003328 is an equidigital number, since it uses as much as digits as its factorization.

44268003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15033 (or 14990 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 44268003328 in words is "forty-four billion, two hundred sixty-eight million, three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2048 2432 2888 4096 4864 5776 8192 9728 11552 14969 19456 23104 29938 38912 46208 59876 77824 92416 119752 155648 184832 239504 284411 369664 479008 568822 739328 958016 1137644 1478656 1916032 2275288 2957312 3832064 4550576 5403809 7664128 9101152 10807618 15328256 18202304 21615236 30656512 36404608 43230472 61313024 72809216 86460944 122626048 145618432 172921888 291236864 345843776 582473728 691687552 1164947456 1383375104 2329894912 2766750208 5533500416 11067000832 22134001664 44268003328