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44042406466416 = 2438872518341077
BaseRepresentation
bin10100000001110011010111…
…11111100001001101110000
312202221102011000212102001220
422000321223333201031300
521233042322023411131
6233400445140025040
712163646614055541
oct1200715377411560
9182842130772056
1044042406466416
11130403092a35a6
124b33868992180
131b76247b86777
14ac394184a4c8
1551599dab0e96
hex280e6bfe1370

44042406466416 has 80 divisors (see below), whose sum is σ = 113911783655424. Its totient is φ = 14663311794432.

The previous prime is 44042406466391. The next prime is 44042406466439. The reversal of 44042406466416 is 61466460424044.

44042406466416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072170870 + ... + 1072211946.

Almost surely, 244042406466416 is an apocalyptic number.

It is an amenable number.

44042406466416 is an abundant number, since it is smaller than the sum of its proper divisors (69869377189008).

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

44042406466416 is a wasteful number, since it uses less digits than its factorization.

44042406466416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67158 (or 67152 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 51.

The spelling of 44042406466416 in words is "forty-four trillion, forty-two billion, four hundred six million, four hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 887 1774 2661 3548 5322 7096 10644 14192 21288 25183 41077 42576 50366 75549 82154 100732 123231 151098 164308 201464 246462 302196 328616 402928 492924 604392 657232 985848 1208784 1971696 22337321 36435299 44674642 67011963 72870598 89349284 109305897 134023926 145741196 178698568 218611794 268047852 291482392 357397136 437223588 536095704 582964784 874447176 1034442091 1072191408 1748894352 2068884182 3103326273 4137768364 6206652546 8275536728 12413305092 16551073456 24826610184 49653220368 917550134717 1835100269434 2752650404151 3670200538868 5505300808302 7340401077736 11010601616604 14680802155472 22021203233208 44042406466416