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240240000096 = 2532834166667
BaseRepresentation
bin1101111110111101101…
…0110111110001100000
3211222002201221111020100
43133233122313301200
512414002420000341
6302210440542400
723233241210355
oct3375732676140
9758081844210
10240240000096
1192981242928
123a687a81a00
1319868022615
14b8b04c462c
1563b10673b6
hex37ef6b7c60

240240000096 has 36 divisors (see below), whose sum is σ = 683182501092. Its totient is φ = 80079999936.

The previous prime is 240240000079. The next prime is 240240000103. The reversal of 240240000096 is 690000042042.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2402400000962 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417083046 + ... + 417083621.

It is an arithmetic number, because the mean of its divisors is an integer number (18977291697).

Almost surely, 2240240000096 is an apocalyptic number.

It is an amenable number.

240240000096 is an abundant number, since it is smaller than the sum of its proper divisors (442942500996).

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

240240000096 is a wasteful number, since it uses less digits than its factorization.

240240000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834166683 (or 834166672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 240240000096 in words is "two hundred forty billion, two hundred forty million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 834166667 1668333334 2502500001 3336666668 5005000002 6673333336 7507500003 10010000004 13346666672 15015000006 20020000008 26693333344 30030000012 40040000016 60060000024 80080000032 120120000048 240240000096