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404241024403304 = 2311212719117215829
BaseRepresentation
bin101101111101001111011001…
…0101010011100011101101000
31222000022001202000220010012222
41123322132302222130131220
5410441041104221401204
63551425432442253212
7151101310266363014
oct13372366252343550
91860261660803188
10404241024403304
11107892723808900
12394087511b7208
13144739c3a1a7ba
1471b75272d7544
1531b0383e46abe
hex16fa7b2a9c768

404241024403304 has 96 divisors (see below), whose sum is σ = 844076994969600. Its totient is φ = 181344645820800.

The previous prime is 404241024403289. The next prime is 404241024403319. The reversal of 404241024403304 is 403304420142404.

It is an interprime number because it is at equal distance from previous prime (404241024403289) and next prime (404241024403319).

It is a super-2 number, since 2×4042410244033042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14872862 + ... + 32088690.

It is an arithmetic number, because the mean of its divisors is an integer number (8792468697600).

Almost surely, 2404241024403304 is an apocalyptic number.

404241024403304 is a gapful number since it is divisible by the number (44) 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 404241024403304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422038497484800).

404241024403304 is an abundant number, since it is smaller than the sum of its proper divisors (439835970566296).

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

404241024403304 is a wasteful number, since it uses less digits than its factorization.

404241024403304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17216175 (or 17216160 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 404241024403304 its reverse (403304420142404), we get a palindrome (807545444545708).

The spelling of 404241024403304 in words is "four hundred four trillion, two hundred forty-one billion, twenty-four million, four hundred three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 127 191 242 254 382 484 508 764 968 1016 1397 1528 2101 2794 4202 5588 8404 11176 15367 16808 23111 24257 30734 46222 48514 61468 92444 97028 122936 184888 194056 266827 533654 1067308 2134616 2935097 5870194 11740388 17215829 23480776 34431658 68863316 137726632 189374119 378748238 757496476 1514992952 2083115309 2186410283 3288223339 4166230618 4372820566 6576446678 8332461236 8745641132 13152893356 16664922472 17491282264 24050513113 26305786712 36170456729 48101026226 72340913458 96202052452 144681826916 192404104904 264555644243 289363653832 397875024019 417604364053 529111288486 795750048038 835208728106 1058222576972 1591500096076 1670417456212 2116445153944 3183000192152 3340834912424 4593648004583 9187296009166 18374592018332 36749184036664 50530128050413 101060256100826 202120512201652 404241024403304