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442041404352 = 26310921122009
BaseRepresentation
bin1100110111010111011…
…10001000101111000000
31120020222121212222210220
412123223232020233000
524220300044414402
6535023201223040
743636124641002
oct6335356105700
91506877788726
10442041404352
11160517937779
1271806931a80
13328b8603a72
1417575926372
15b772720dbc
hex66ebb88bc0

442041404352 has 56 divisors (see below), whose sum is σ = 1180297918800. Its totient is φ = 145995319296.

The previous prime is 442041404341. The next prime is 442041404377. The reversal of 442041404352 is 253404140244.

It is a super-2 number, since 2×4420414043522 (a number of 24 digits) contains 22 as substring.

It is a congruent 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, 10540077 + ... + 10581932.

It is an arithmetic number, because the mean of its divisors is an integer number (21076748550).

Almost surely, 2442041404352 is an apocalyptic number.

It is an amenable number.

442041404352 is an abundant number, since it is smaller than the sum of its proper divisors (738256514448).

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

442041404352 is a wasteful number, since it uses less digits than its factorization.

442041404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21122133 (or 21122123 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 442041404352 its reverse (253404140244), we get a palindrome (695445544596).

The spelling of 442041404352 in words is "four hundred forty-two billion, forty-one million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2616 3488 5232 6976 10464 20928 21122009 42244018 63366027 84488036 126732054 168976072 253464108 337952144 506928216 675904288 1013856432 1351808576 2027712864 2302298981 4055425728 4604597962 6906896943 9209195924 13813793886 18418391848 27627587772 36836783696 55255175544 73673567392 110510351088 147347134784 221020702176 442041404352