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44006024868 = 223131953280129
BaseRepresentation
bin101000111110111101…
…101010011010100100
311012120212002200111220
4220332331222122210
51210111020243433
632114401500340
73115340016411
oct507675523244
9135525080456
1044006024868
11177322878a3
1286416416b0
1341c4003390
1421b664d108
15122854c2b3
hexa3ef6a6a4

44006024868 has 96 divisors (see below), whose sum is σ = 118595836800. Its totient is φ = 12585590784.

The previous prime is 44006024837. The next prime is 44006024869. The reversal of 44006024868 is 86842060044.

It is a super-4 number, since 4×440060248684 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (44006024869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17028 + ... + 297156.

It is an arithmetic number, because the mean of its divisors is an integer number (1235373300).

Almost surely, 244006024868 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 44006024868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59297918400).

44006024868 is an abundant number, since it is smaller than the sum of its proper divisors (74589811932).

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

44006024868 is a wasteful number, since it uses less digits than its factorization.

44006024868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280221 (or 280219 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 44006024868 in words is "forty-four billion, six million, twenty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 53 57 76 78 106 114 156 159 212 228 247 318 494 636 689 741 988 1007 1378 1482 2014 2067 2756 2964 3021 4028 4134 6042 8268 12084 13091 26182 39273 52364 78546 157092 280129 560258 840387 1120516 1680774 3361548 3641677 5322451 7283354 10644902 10925031 14566708 14846837 15967353 21289804 21850062 29693674 31934706 43700124 44540511 59387348 63869412 69191863 89081022 138383726 178162044 193008881 207575589 276767452 282089903 386017762 415151178 564179806 579026643 772035524 830302356 846269709 1128359612 1158053286 1692539418 2316106572 3385078836 3667168739 7334337478 11001506217 14668674956 22003012434 44006024868