Search a number
-
+
132241224320 = 2755316132417
BaseRepresentation
bin111101100101000110…
…0001111001010000000
3110122100010012020101222
41323022030033022000
54131312223134240
6140430100214212
712361026601022
oct1731214171200
9418303166358
10132241224320
11510a07a6137
122176739a368
13c61630b07a
146586dd8012
15368e9c4eb5
hex1eca30f280

132241224320 has 128 divisors (see below), whose sum is σ = 322437108240. Its totient is φ = 51844808704.

The previous prime is 132241224277. The next prime is 132241224359. The reversal of 132241224320 is 23422142231.

It can be written as a sum of positive squares in 8 ways, for example, as 115159779904 + 17081444416 = 339352^2 + 130696^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 132241224320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54711752 + ... + 54714168.

Almost surely, 2132241224320 is an apocalyptic number.

132241224320 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 132241224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161218554120).

132241224320 is an abundant number, since it is smaller than the sum of its proper divisors (190195883920).

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

132241224320 is a wasteful number, since it uses less digits than its factorization.

132241224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 132241224320 its reverse (23422142231), we get a palindrome (155663366551).

The spelling of 132241224320 in words is "one hundred thirty-two billion, two hundred forty-one million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1613 1696 2120 2417 3226 3392 4240 4834 6452 6784 8065 8480 9668 12085 12904 16130 16960 19336 24170 25808 32260 33920 38672 48340 51616 64520 77344 85489 96680 103232 128101 129040 154688 170978 193360 206464 256202 258080 309376 341956 386720 427445 512404 516160 640505 683912 773440 854890 1024808 1032320 1281010 1367824 1546880 1709780 2049616 2562020 2735648 3419560 3898621 4099232 5124040 5471296 6839120 7797242 8198464 10248080 10942592 13678240 15594484 16396928 19493105 20496160 27356480 31188968 38986210 40992320 54712960 62377936 77972420 81984640 124755872 155944840 206626913 249511744 311889680 413253826 499023488 623779360 826507652 1033134565 1247558720 1653015304 2066269130 2495117440 3306030608 4132538260 6612061216 8265076520 13224122432 16530153040 26448244864 33060306080 66120612160 132241224320