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442327408840 = 23518895853989
BaseRepresentation
bin1100110111111001100…
…01001010000011001000
31120021201120001112012201
412123330301022003020
524221341304040330
6535111415245544
743646166640222
oct6337461120310
91507646045181
10442327408840
11160654322119
12718866798b4
13329329414a5
14175a18d5412
15b78c8b7eca
hex66fcc4a0c8

442327408840 has 32 divisors (see below), whose sum is σ = 995763699000. Its totient is φ = 176837269504.

The previous prime is 442327408823. The next prime is 442327408847. The reversal of 442327408840 is 48804723244.

It can be written as a sum of positive squares in 4 ways, for example, as 435386186244 + 6941222596 = 659838^2 + 83314^2 .

It is a super-2 number, since 2×4423274088402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442327408847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2851435 + ... + 3002554.

Almost surely, 2442327408840 is an apocalyptic number.

442327408840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442327408840 is an abundant number, since it is smaller than the sum of its proper divisors (553436290160).

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

442327408840 is a wasteful number, since it uses less digits than its factorization.

442327408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855889 (or 5855885 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 46.

The spelling of 442327408840 in words is "four hundred forty-two billion, three hundred twenty-seven million, four hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1889 3778 7556 9445 15112 18890 37780 75560 5853989 11707978 23415956 29269945 46831912 58539890 117079780 234159560 11058185221 22116370442 44232740884 55290926105 88465481768 110581852210 221163704420 442327408840