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404442440016 = 24310787379013
BaseRepresentation
bin1011110001010101010…
…01011110000101010000
31102122221021210201001020
411320222221132011100
523111244231040031
6505444233035440
741135314006116
oct5705251360520
91378837721036
10404442440016
1114658323932a
1266472b55b80
132c1a5b10684
141580a1a7ab6
15a7c1917096
hex5e2aa5e150

404442440016 has 80 divisors (see below), whose sum is σ = 1054811934144. Its totient is φ = 133524099072.

The previous prime is 404442439979. The next prime is 404442440021. The reversal of 404442440016 is 610044244404.

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, 44868726 + ... + 44877738.

Almost surely, 2404442440016 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 404442440016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527405967072).

404442440016 is an abundant number, since it is smaller than the sum of its proper divisors (650369494128).

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

404442440016 is a wasteful number, since it uses less digits than its factorization.

404442440016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17862 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 404442440016 in words is "four hundred four billion, four hundred forty-two million, four hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 8737 9013 17474 18026 26211 27039 34948 36052 52422 54078 69896 72104 104844 108156 139792 144208 209688 216312 419376 432624 934859 964391 1869718 1928782 2804577 2893173 3739436 3857564 5609154 5786346 7478872 7715128 11218308 11572692 14957744 15430256 22436616 23145384 44873232 46290768 78746581 157493162 236239743 314986324 472479486 629972648 944958972 1259945296 1889917944 3779835888 8425884167 16851768334 25277652501 33703536668 50555305002 67407073336 101110610004 134814146672 202221220008 404442440016