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442068493344 = 25327491675111
BaseRepresentation
bin1100110111011010101…
…01011110010000100000
31120021001111212020220220
412123231111132100200
524220324013241334
6535030010003040
743636604123442
oct6335525362040
91507044766826
10442068493344
1116053115a075
1271813a16480
13328c10c9a5a
1417579378492
15b774cc2449
hex66ed55e420

442068493344 has 48 divisors (see below), whose sum is σ = 1160852616000. Its totient is φ = 147302472960.

The previous prime is 442068493331. The next prime is 442068493351. The reversal of 442068493344 is 443394860244.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 573652 + ... + 1101459.

It is an arithmetic number, because the mean of its divisors is an integer number (24184429500).

Almost surely, 2442068493344 is an apocalyptic number.

It is an amenable number.

442068493344 is an abundant number, since it is smaller than the sum of its proper divisors (718784122656).

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

442068493344 is a wasteful number, since it uses less digits than its factorization.

442068493344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677873 (or 1677865 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 442068493344 in words is "four hundred forty-two billion, sixty-eight million, four hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2749 5498 8247 10996 16494 21992 32988 43984 65976 87968 131952 263904 1675111 3350222 5025333 6700444 10050666 13400888 20101332 26801776 40202664 53603552 80405328 160810656 4604880139 9209760278 13814640417 18419520556 27629280834 36839041112 55258561668 73678082224 110517123336 147356164448 221034246672 442068493344