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442044220422 = 237131181443881
BaseRepresentation
bin1100110111010111110…
…00111000010000000110
31120020222211012001201210
412123223320320100012
524220301310023142
6535023341432250
743636160610060
oct6335370702006
91506884161653
10442044220422
11160519490502
127180786b686
13328b907b78c
141757605a730
15b772aca49c
hex66ebe38406

442044220422 has 64 divisors (see below), whose sum is σ = 1023726832128. Its totient is φ = 124641504000.

The previous prime is 442044220399. The next prime is 442044220439. The reversal of 442044220422 is 224022440244.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 442044220422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773922 + ... + 1217802.

It is an arithmetic number, because the mean of its divisors is an integer number (15995731752).

Almost surely, 2442044220422 is an apocalyptic number.

442044220422 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

442044220422 is an abundant number, since it is smaller than the sum of its proper divisors (581682611706).

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

442044220422 is a wasteful number, since it uses less digits than its factorization.

442044220422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444205.

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442044220422 its reverse (224022440244), we get a palindrome (666066660666).

The spelling of 442044220422 in words is "four hundred forty-two billion, forty-four million, two hundred twenty thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 131 181 262 362 393 543 786 917 1086 1267 1834 2534 2751 3801 5502 7602 23711 47422 71133 142266 165977 331954 443881 497931 887762 995862 1331643 2663286 3107167 6214334 9321501 18643002 58148411 80342461 116296822 160684922 174445233 241027383 348890466 407038877 482054766 562397227 814077754 1124794454 1221116631 1687191681 2442233262 3374383362 10524862391 21049724782 31574587173 63149174346 73674036737 147348073474 221022110211 442044220422