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44445249888 = 25313172123229
BaseRepresentation
bin101001011001001001…
…001011000101100000
311020201110120121222020
4221121021023011200
51212010440444023
632230131541440
73132252251004
oct513111130540
9136643517866
1044445249888
1117938204086
12874475a880
134263cc9840
142218b04704
151251dacde3
hexa5924b160

44445249888 has 144 divisors (see below), whose sum is σ = 133469920080. Its totient is φ = 12870918144.

The previous prime is 44445249883. The next prime is 44445249911. The reversal of 44445249888 is 88894254444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44445249881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299058 + ... + 422286.

It is an arithmetic number, because the mean of its divisors is an integer number (926874445).

Almost surely, 244445249888 is an apocalyptic number.

44445249888 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 44445249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66734960040).

44445249888 is an abundant number, since it is smaller than the sum of its proper divisors (89024670192).

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

44445249888 is a wasteful number, since it uses less digits than its factorization.

44445249888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123289 (or 123264 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 60.

The spelling of 44445249888 in words is "forty-four billion, four hundred forty-five million, two hundred forty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 289 312 408 416 442 544 578 624 663 816 867 884 1156 1248 1326 1632 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7072 7514 9248 10608 11271 13872 15028 21216 22542 27744 30056 45084 60112 90168 120224 123229 180336 246458 360672 369687 492916 739374 985832 1478748 1601977 1971664 2094893 2957496 3203954 3943328 4189786 4805931 5914992 6284679 6407908 8379572 9611862 11829984 12569358 12815816 16759144 19223724 25138716 25631632 27233609 33518288 35613181 38447448 50277432 51263264 54467218 67036576 71226362 76894896 81700827 100554864 106839543 108934436 142452724 153789792 163401654 201109728 213679086 217868872 284905448 326803308 427358172 435737744 462971353 569810896 653606616 854716344 871475488 925942706 1139621792 1307213232 1388914059 1709432688 1851885412 2614426464 2777828118 3418865376 3703770824 5555656236 7407541648 11111312472 14815083296 22222624944 44445249888