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442241310540304 = 241110867723121127
BaseRepresentation
bin110010010001101110101010…
…0001110000100001000010000
32010222211212010022101112202001
41210203131110032010020100
5430431140200444242204
64204322504154403344
7162102610641162232
oct14443352416041020
92128755108345661
10442241310540304
11118a03539658050
12417253b4130554
1315c9c23b106a22
147b2c844d28252
15361daa0d574a4
hex1923754384210

442241310540304 has 40 divisors (see below), whose sum is σ = 934745956947648. Its totient is φ = 201016919134080.

The previous prime is 442241310540299. The next prime is 442241310540389. The reversal of 442241310540304 is 403045013142244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7566589 + ... + 30687715.

Almost surely, 2442241310540304 is an apocalyptic number.

442241310540304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442241310540304 is an abundant number, since it is smaller than the sum of its proper divisors (492504646407344).

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

442241310540304 is a wasteful number, since it uses less digits than its factorization.

442241310540304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23229823 (or 23229817 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 442241310540304 its reverse (403045013142244), we get a palindrome (845286323682548).

The spelling of 442241310540304 in words is "four hundred forty-two trillion, two hundred forty-one billion, three hundred ten million, five hundred forty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 108677 217354 434708 869416 1195447 1738832 2390894 4781788 9563576 19127152 23121127 46242254 92484508 184969016 254332397 369938032 508664794 1017329588 2034659176 4069318352 2512734718979 5025469437958 10050938875916 20101877751832 27640081908769 40203755503664 55280163817538 110560327635076 221120655270152 442241310540304