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442265135216 = 24291496397031
BaseRepresentation
bin1100110111110010000…
…11100110100001110000
31120021120012212200212012
412123321003212201300
524221224333311331
6535101312422052
743644512423402
oct6337103464160
91507505780765
10442265135216
11160622159013
1271869847928
1332922a796a8
1417597524b72
15b7871b682b
hex66f90e6870

442265135216 has 40 divisors (see below), whose sum is σ = 892385964000. Its totient is φ = 212074338560.

The previous prime is 442265135167. The next prime is 442265135233. The reversal of 442265135216 is 612531562244.

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 7 ways as a sum of consecutive naturals, for example, 3129380 + ... + 3267651.

It is an arithmetic number, because the mean of its divisors is an integer number (22309649100).

Almost surely, 2442265135216 is an apocalyptic number.

It is an amenable number.

442265135216 is an abundant number, since it is smaller than the sum of its proper divisors (450120828784).

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

442265135216 is a wasteful number, since it uses less digits than its factorization.

442265135216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397217 (or 6397211 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The spelling of 442265135216 in words is "four hundred forty-two billion, two hundred sixty-five million, one hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 149 232 298 464 596 1192 2384 4321 8642 17284 34568 69136 6397031 12794062 25588124 51176248 102352496 185513899 371027798 742055596 953157619 1484111192 1906315238 2968222384 3812630476 7625260952 15250521904 27641570951 55283141902 110566283804 221132567608 442265135216