Search a number
-
+
2444014044 = 2232172613851
BaseRepresentation
bin1001000110101100…
…1011000111011100
320022022211202222200
42101223023013130
520001131422134
61042303411500
7114364530243
oct22153130734
96268752880
102444014044
111044644a1a
125825b3b90
132cc459574
1419283995a
15e486c499
hex91acb1dc

2444014044 has 108 divisors (see below), whose sum is σ = 6672026088. Its totient is φ = 753984000.

The previous prime is 2444014031. The next prime is 2444014081. The reversal of 2444014044 is 4404104442.

2444014044 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2444013999 and 2444014017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632719 + ... + 636569.

Almost surely, 22444014044 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 2444014044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336013044).

2444014044 is an abundant number, since it is smaller than the sum of its proper divisors (4228012044).

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

2444014044 is a wasteful number, since it uses less digits than its factorization.

2444014044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2444014044 is about 49436.9704168854. The cubic root of 2444014044 is about 1347.0009408016. Note that the first 3 decimals are identical.

Adding to 2444014044 its reverse (4404104442), we get a palindrome (6848118486).

The spelling of 2444014044 in words is "two billion, four hundred forty-four million, fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 289 306 366 549 578 612 732 867 1037 1098 1156 1734 2074 2196 2601 3111 3468 3851 4148 5202 6222 7702 9333 10404 11553 12444 15404 17629 18666 23106 34659 35258 37332 46212 52887 65467 69318 70516 105774 130934 138636 158661 196401 211548 234911 261868 317322 392802 469822 589203 634644 704733 785604 939644 1112939 1178406 1409466 2114199 2225878 2356812 2818932 3338817 3993487 4228398 4451756 6677634 7986974 8456796 10016451 11980461 13355268 15973948 20032902 23960922 35941383 40065804 47921844 67889279 71882766 135778558 143765532 203667837 271557116 407335674 611003511 814671348 1222007022 2444014044