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442113242412020 = 2251311447116617493
BaseRepresentation
bin110010010000110011000001…
…0110000111011001111110100
32010222101121120000121112220112
41210201212002300323033310
5430422040410024141040
64204144004130122152
7162060425203100024
oct14441460260731764
92128347500545815
10442113242412020
1111896419a522813
1241704612420358
1315c9013b54496a
147b26576261a84
15361a5a78ea365
hex1921982c3b3f4

442113242412020 has 48 divisors (see below), whose sum is σ = 936171655993728. Its totient is φ = 175374049169280.

The previous prime is 442113242412019. The next prime is 442113242412031. The reversal of 442113242412020 is 20214242311244.

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 15 ways as a sum of consecutive naturals, for example, 54517607 + ... + 62099886.

It is an arithmetic number, because the mean of its divisors is an integer number (19503576166536).

Almost surely, 2442113242412020 is an apocalyptic number.

It is an amenable number.

442113242412020 is an abundant number, since it is smaller than the sum of its proper divisors (494058413581708).

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

442113242412020 is a wasteful number, since it uses less digits than its factorization.

442113242412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116619080 (or 116619078 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 442113242412020 its reverse (20214242311244), we get a palindrome (462327484723264).

The spelling of 442113242412020 in words is "four hundred forty-two trillion, one hundred thirteen billion, two hundred forty-two million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 1447 2620 2894 5788 7235 14470 28940 189557 379114 758228 947785 1895570 3791140 116617493 233234986 466469972 583087465 1166174930 2332349860 15276891583 30553783166 61107566332 76384457915 152768915830 168745512371 305537831660 337491024742 674982049484 843727561855 1687455123710 3374910247420 22105662120601 44211324241202 88422648482404 110528310603005 221056621206010 442113242412020