Search a number
-
+
204144041240 = 23523237260747
BaseRepresentation
bin1011111000011111101…
…1101101110100011000
3201111221011000210101022
42332013323231310120
511321041333304430
6233441003142012
720514610501616
oct2760773556430
9644834023338
10204144041240
1179638a97777
1233693514908
1316334a34499
149c4860c6b6
15549c19d4e5
hex2f87eedd18

204144041240 has 96 divisors (see below), whose sum is σ = 493142262480. Its totient is φ = 75995986176.

The previous prime is 204144041219. The next prime is 204144041251. The reversal of 204144041240 is 42140441402.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 652547 + ... + 913293.

Almost surely, 2204144041240 is an apocalyptic number.

204144041240 is a gapful number since it is divisible by the number (20) 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 204144041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246571131240).

204144041240 is an abundant number, since it is smaller than the sum of its proper divisors (288998221240).

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

204144041240 is a wasteful number, since it uses less digits than its factorization.

204144041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260841 (or 260814 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 204144041240 its reverse (42140441402), we get a palindrome (246284482642).

The spelling of 204144041240 in words is "two hundred four billion, one hundred forty-four million, forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 184 185 230 296 370 460 529 740 851 920 1058 1480 1702 2116 2645 3404 4232 4255 5290 6808 8510 10580 17020 19573 21160 34040 39146 78292 97865 156584 195730 260747 391460 521494 782920 1042988 1303735 2085976 2607470 5214940 5997181 9647639 10429880 11994362 19295278 23988724 29985905 38590556 47977448 48238195 59971810 77181112 96476390 119943620 137935163 192952780 221895697 239887240 275870326 385905560 443791394 551740652 689675815 887582788 1103481304 1109478485 1379351630 1775165576 2218956970 2758703260 4437913940 5103601031 5517406520 8875827880 10207202062 20414404124 25518005155 40828808248 51036010310 102072020620 204144041240