Search a number
-
+
113344323344 = 2472673214817
BaseRepresentation
bin110100110001111011…
…0010001111100010000
3101211120011100012112122
41221203312101330100
53324112121321334
6124023014113412
711121530565200
oct1514366217420
9354504305478
10113344323344
1144083a087aa
1219b7294b868
13a8c432a865
1456b341a400
152e35a0332e
hex1a63d91f10

113344323344 has 60 divisors (see below), whose sum is σ = 255839215644. Its totient is φ = 48503734272.

The previous prime is 113344323343. The next prime is 113344323359. The reversal of 113344323344 is 443323443311.

It can be written as a sum of positive squares in 2 ways, for example, as 22827583744 + 90516739600 = 151088^2 + 300860^2 .

It is not an unprimeable number, because it can be changed into a prime (113344323343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420224 + ... + 635040.

Almost surely, 2113344323344 is an apocalyptic number.

113344323344 is a gapful number since it is divisible by the number (14) 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 113344323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127919607822).

113344323344 is an abundant number, since it is smaller than the sum of its proper divisors (142494892300).

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

113344323344 is a wasteful number, since it uses less digits than its factorization.

113344323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215512 (or 215499 counting only the distinct ones).

The product of its digits is 124416, while the sum is 35.

Adding to 113344323344 its reverse (443323443311), we get a palindrome (556667766655).

The spelling of 113344323344 in words is "one hundred thirteen billion, three hundred forty-four million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 673 784 1346 2692 4711 5384 9422 10768 18844 32977 37688 65954 75376 131908 214817 263816 429634 527632 859268 1503719 1718536 3007438 3437072 6014876 10526033 12029752 21052066 24059504 42104132 84208264 144571841 168416528 289143682 578287364 1012002887 1156574728 2024005774 2313149456 4048011548 7084020209 8096023096 14168040418 16192046192 28336080836 56672161672 113344323344