Search a number
-
+
41046522443536 = 2417271213272
BaseRepresentation
bin10010101010100111000110…
…11000111011011100010000
312101100000020201112102202211
421111103203120323130100
520340001234221143121
6223144302340121504
711434341043042651
oct1125234330733420
9171300221472684
1041046522443536
1112095806925405
12472b111396294
1319b9893cc40ac
14a1c93b457528
154b2aaa8a0ce1
hex2554e363b710

41046522443536 has 135 divisors (see below), whose sum is σ = 85752167530197. Its totient is φ = 19029602941440.

The previous prime is 41046522443513. The next prime is 41046522443603. The reversal of 41046522443536 is 63534422564014.

The square root of 41046522443536 is 6406756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31956635120400 + 9089887323136 = 5653020^2 + 3014944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41046522443536.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30931817305 + ... + 30931818631.

Almost surely, 241046522443536 is an apocalyptic number.

41046522443536 is the 6406756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41046522443536

41046522443536 is an abundant number, since it is smaller than the sum of its proper divisors (44705645086661).

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

41046522443536 is an frugal number, since it uses more digits than its factorization.

41046522443536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 49.

The spelling of 41046522443536 in words is "forty-one trillion, forty-six billion, five hundred twenty-two million, four hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 289 568 578 1136 1156 1207 1327 2312 2414 2654 4624 4828 5041 5308 9656 10082 10616 19312 20164 20519 21232 22559 40328 41038 45118 80656 82076 85697 90236 94217 164152 171394 180472 188434 328304 342788 360944 376868 383503 685576 753736 767006 1371152 1456849 1507472 1534012 1601689 1760929 2913698 3068024 3203378 3521858 5827396 6136048 6406756 6689407 7043716 11654792 12813512 13378814 14087432 23309584 25627024 26757628 27228713 28174864 29935793 53515256 54457426 59871586 107030512 108914852 113719919 119743172 125025959 217829704 227439838 239486344 250051918 435659408 454879676 478972688 500103836 508908481 909759352 1000207672 1017816962 1819518704 1933238623 2000415344 2035633924 2125441303 3866477246 4071267848 4250882606 7732954492 8142535696 8501765212 8876843089 15465908984 17003530424 17753686178 30931817968 34007060848 35507372356 36132502151 71014744712 72265004302 142029489424 144530008604 150906332513 289060017208 301812665026 578120034416 603625330052 1207250660104 2414501320208 2565407652721 5130815305442 10261630610884 20523261221768 41046522443536