Search a number
-
+
1044242133220 = 2251113557655511
BaseRepresentation
bin11110011001000011010…
…11100111000011100100
310200211101000210122202201
433030201223213003210
5114102101441230340
62115415044544244
7135305202452116
oct17144153470344
93624330718681
101044242133220
11372951508460
1214a46a6b2084
13776191895b0
14387821973b6
151c26a8a179a
hexf321ae70e4

1044242133220 has 96 divisors (see below), whose sum is σ = 2580913310976. Its totient is φ = 349885017600.

The previous prime is 1044242133191. The next prime is 1044242133223. The reversal of 1044242133220 is 223312424401.

1044242133220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1044242133223) 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, 1265265 + ... + 1920775.

It is an arithmetic number, because the mean of its divisors is an integer number (26884513656).

Almost surely, 21044242133220 is an apocalyptic number.

1044242133220 is a gapful number since it is divisible by the number (10) 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 1044242133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290456655488).

1044242133220 is an abundant number, since it is smaller than the sum of its proper divisors (1536671177756).

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

1044242133220 is a wasteful number, since it uses less digits than its factorization.

1044242133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656101 (or 656099 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1044242133220 its reverse (223312424401), we get a palindrome (1267554557621).

The spelling of 1044242133220 in words is "one trillion, forty-four billion, two hundred forty-two million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 557 572 715 1114 1430 2228 2785 2860 5570 6127 7241 11140 12254 14482 24508 28964 30635 36205 61270 72410 79651 122540 144820 159302 318604 398255 655511 796510 1311022 1593020 2622044 3277555 6555110 7210621 8521643 13110220 14421242 17043286 28842484 34086572 36053105 42608215 72106210 85216430 93738073 144212420 170432860 187476146 365119627 374952292 468690365 730239254 937380730 1460478508 1825598135 1874761460 3651196270 4016315897 4746555151 7302392540 8032631794 9493110302 16065263588 18986220604 20081579485 23732775755 40163158970 47465551510 52212106661 80326317940 94931103020 104424213322 208848426644 261060533305 522121066610 1044242133220