Search a number
-
+
44422133122444 = 22721130491675739
BaseRepresentation
bin10100001100110110101010…
…11101110000010110001100
312211021201021211120012101011
422012123111131300112030
521310303012034404234
6234251125104055004
712233251604303500
oct1206332535602614
9184251254505334
1044422133122444
1113177359079570
124b95382604464
131ba2cb22c328c
14ad80852d2300
155207c5747b64
hex2866d577058c

44422133122444 has 72 divisors (see below), whose sum is σ = 98655131615040. Its totient is φ = 17306731360800.

The previous prime is 44422133122397. The next prime is 44422133122481.

44422133122444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444221331224442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44422133122397 and 44422133122406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65400727 + ... + 66076465.

It is an arithmetic number, because the mean of its divisors is an integer number (1370210161320).

Almost surely, 244422133122444 is an apocalyptic number.

44422133122444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44422133122444 is an abundant number, since it is smaller than the sum of its proper divisors (54232998492596).

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

44422133122444 is a wasteful number, since it uses less digits than its factorization.

44422133122444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706259 (or 706250 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4442213 and 3122444, that added together give a palindrome (7564657).

The spelling of 44422133122444 in words is "forty-four trillion, four hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 30491 60982 121964 213437 335401 426874 670802 675739 853748 1341604 1351478 1494059 2347807 2702956 2988118 4695614 4730173 5976236 7433129 9391228 9460346 14866258 16434649 18920692 29732516 32869298 33111211 52031903 65738596 66222422 104063806 132444844 208127612 364223321 728446642 1456893284 20603957849 41207915698 82415831396 144227704943 226643536339 288455409886 453287072678 576910819772 906574145356 1009593934601 1586504754373 2019187869202 3173009508746 4038375738404 6346019017492 11105533280611 22211066561222 44422133122444