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42440217560 = 2351382798689
BaseRepresentation
bin100111100001101000…
…100101001111011000
311001112201202102200122
4213201220211033120
51143404143430220
631255145052412
73031464616466
oct474150451730
9131481672618
1042440217560
1116aa943a674
128285187108
1340047aca90
1420a86d9836
151185d54425
hex9e1a253d8

42440217560 has 64 divisors (see below), whose sum is σ = 102961303200. Its totient is φ = 15651127296.

The previous prime is 42440217551. The next prime is 42440217581. The reversal of 42440217560 is 6571204424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42440217560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380696 + ... + 479384.

Almost surely, 242440217560 is an apocalyptic number.

42440217560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440217560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51480651600).

42440217560 is an abundant number, since it is smaller than the sum of its proper divisors (60521085640).

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

42440217560 is a wasteful number, since it uses less digits than its factorization.

42440217560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99540 (or 99536 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The spelling of 42440217560 in words is "forty-two billion, four hundred forty million, two hundred seventeen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 827 1654 3308 4135 6616 8270 10751 16540 21502 33080 43004 53755 86008 98689 107510 197378 215020 394756 430040 493445 789512 986890 1282957 1973780 2565914 3947560 5131828 6414785 10263656 12829570 25659140 51318280 81615803 163231606 326463212 408079015 652926424 816158030 1061005439 1632316060 2122010878 3264632120 4244021756 5305027195 8488043512 10610054390 21220108780 42440217560