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442806855384 = 233531447924043
BaseRepresentation
bin1100111000110010101…
…10000110011011011000
31120022221222012221020010
412130121112012123120
524223332023333014
6535231143401520
743664111111445
oct6343126063330
91508858187203
10442806855384
1116087aa20433
127199b1532a0
13329ab07b27a
141760945a9cc
15b7b9a21359
hex67195866d8

442806855384 has 64 divisors (see below), whose sum is σ = 1128029068800. Its totient is φ = 144801311616.

The previous prime is 442806855367. The next prime is 442806855409. The reversal of 442806855384 is 483558608244.

It is a super-2 number, since 2×4428068553842 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 18405267 + ... + 18429309.

It is an arithmetic number, because the mean of its divisors is an integer number (17625454200).

Almost surely, 2442806855384 is an apocalyptic number.

It is an amenable number.

442806855384 is an abundant number, since it is smaller than the sum of its proper divisors (685222213416).

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

442806855384 is a wasteful number, since it uses less digits than its factorization.

442806855384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38584 (or 38580 counting only the distinct ones).

The product of its (nonzero) digits is 29491200, while the sum is 57.

The spelling of 442806855384 in words is "four hundred forty-two billion, eight hundred six million, eight hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 14479 24043 28958 43437 48086 57916 72129 86874 96172 115832 144258 173748 192344 288516 347496 577032 767387 1274279 1534774 2302161 2548558 3069548 3822837 4604322 5097116 6139096 7645674 9208644 10194232 15291348 18417288 30582696 348118597 696237194 1044355791 1392474388 2088711582 2784948776 4177423164 8354846328 18450285641 36900571282 55350856923 73801142564 110701713846 147602285128 221403427692 442806855384