Search a number
-
+
44184845068 = 227213411512801
BaseRepresentation
bin101001001001100111…
…110011101100001100
311020001022120200201021
4221021213303230030
51210442310020233
632144230323524
73122640662200
oct511147635414
9136038520637
1044184845068
1117814214091
1286914b95a4
134222083250
1421d22bab00
1512390c0e2d
hexa499f3b0c

44184845068 has 144 divisors (see below), whose sum is σ = 99922189248. Its totient is φ = 16934400000.

The previous prime is 44184845057. The next prime is 44184845071. The reversal of 44184845068 is 86054848144.

44184845068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15773268 + ... + 15776068.

It is an arithmetic number, because the mean of its divisors is an integer number (693904092).

Almost surely, 244184845068 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 44184845068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49961094624).

44184845068 is an abundant number, since it is smaller than the sum of its proper divisors (55737344180).

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

44184845068 is a wasteful number, since it uses less digits than its factorization.

44184845068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 52.

The spelling of 44184845068 in words is "forty-four billion, one hundred eighty-four million, eight hundred forty-five thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 41 49 52 82 91 98 151 164 182 196 287 302 364 533 574 604 637 1057 1066 1148 1274 1963 2009 2114 2132 2548 2801 3731 3926 4018 4228 5602 6191 7399 7462 7852 8036 11204 12382 13741 14798 14924 19607 24764 26117 27482 29596 36413 39214 43337 52234 54964 72826 78428 80483 86674 96187 104468 114841 137249 145652 160966 173348 192374 229682 254891 274498 303359 321932 384748 422951 459364 509782 548996 563381 606718 803887 845902 1019564 1126762 1213436 1492933 1607774 1691804 1784237 2253524 2960657 2985866 3215548 3568474 3943667 5498363 5627209 5921314 5971732 7136948 7887334 10450531 10996726 11254418 11842628 15774668 17340991 20724599 20901062 21993452 22508836 34681982 38488541 41449198 41802124 69363964 73153717 76977082 82898396 121386937 146307434 153954164 225432883 242773874 269419787 292614868 450865766 485547748 538839574 849708559 901731532 1077679148 1578030181 1699417118 3156060362 3398834236 6312120724 11046211267 22092422534 44184845068