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442054388816 = 241947241128377
BaseRepresentation
bin1100110111011000111…
…11101010110001010000
31120021000112022200010222
412123230133222301100
524220311410420231
6535024343412212
743636343210405
oct6335437526120
91507015280128
10442054388816
111605241a6137
127180b154068
13328bb1cbb91
14175775462ac
15b77393827b
hex66ec7eac50

442054388816 has 80 divisors (see below), whose sum is σ = 924568085760. Its totient is φ = 204087029760.

The previous prime is 442054388807. The next prime is 442054388869. The reversal of 442054388816 is 618883450244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3379220 + ... + 3507596.

It is an arithmetic number, because the mean of its divisors is an integer number (11557101072).

Almost surely, 2442054388816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442054388816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462284042880).

442054388816 is an abundant number, since it is smaller than the sum of its proper divisors (482513696944).

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

442054388816 is a wasteful number, since it uses less digits than its factorization.

442054388816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128692 (or 128686 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 53.

The spelling of 442054388816 in words is "four hundred forty-two billion, fifty-four million, three hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 241 304 376 482 752 893 964 1786 1928 3572 3856 4579 7144 9158 11327 14288 18316 22654 36632 45308 73264 90616 128377 181232 215213 256754 430426 513508 860852 1027016 1721704 2054032 2439163 3443408 4878326 6033719 9756652 12067438 19513304 24134876 30938857 39026608 48269752 61877714 96539504 114640661 123755428 229281322 247510856 458562644 495021712 587838283 917125288 1175676566 1454126279 1834250576 2351353132 2908252558 4702706264 5816505116 9405412528 11633010232 23266020464 27628399301 55256798602 110513597204 221027194408 442054388816