Search a number
-
+
204132340042332 = 223132415429629217
BaseRepresentation
bin101110011010100001000011…
…100111011000101001011100
3222202202212020202110110201220
4232122201003213120221130
5203224001013022323312
62002053034041533340
760666034453162062
oct5632410347305134
9882685222413656
10204132340042332
115a052048264529
121aa8a26b7a4250
1389b979b9b4170
14385a0b5122032
15188ee3d53dc8c
hexb9a8439d8a5c

204132340042332 has 48 divisors (see below), whose sum is σ = 515076346136352. Its totient is φ = 62549328568320.

The previous prime is 204132340042327. The next prime is 204132340042339. The reversal of 204132340042332 is 233240043231402.

It is a junction number, because it is equal to n+sod(n) for n = 204132340042293 and 204132340042302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204132340042339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714777013 + ... + 2714852204.

It is an arithmetic number, because the mean of its divisors is an integer number (10730757211174).

Almost surely, 2204132340042332 is an apocalyptic number.

It is an amenable number.

204132340042332 is an abundant number, since it is smaller than the sum of its proper divisors (310944006094020).

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

204132340042332 is a wasteful number, since it uses less digits than its factorization.

204132340042332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429629478 (or 5429629476 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 204132340042332 its reverse (233240043231402), we get a palindrome (437372383273734).

The spelling of 204132340042332 in words is "two hundred four trillion, one hundred thirty-two billion, three hundred forty million, forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 241 482 723 964 1446 2892 3133 6266 9399 12532 18798 37596 5429629217 10859258434 16288887651 21718516868 32577775302 65155550604 70585179821 141170359642 211755539463 282340719284 423511078926 847022157852 1308540641297 2617081282594 3925621923891 5234162565188 7851243847782 15702487695564 17011028336861 34022056673722 51033085010583 68044113347444 102066170021166 204132340042332