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240234495840 = 253352311232153
BaseRepresentation
bin1101111110111100010…
…1110111111101100000
3211222002100120211211000
43133233011313331200
512414000012331330
6302210122552000
723233143344103
oct3375705677540
9758070524730
10240234495840
1192979123459
123a686068600
1319866b46171
14b8ad89073a
1563b082b560
hex37ef177f60

240234495840 has 384 divisors, whose sum is σ = 878567316480. Its totient is φ = 61194203136.

The previous prime is 240234495829. The next prime is 240234495847. The reversal of 240234495840 is 48594432042.

240234495840 is a `hidden beast` number, since 2 + 4 + 0 + 23 + 4 + 49 + 584 + 0 = 666.

240234495840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2402344958402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240234495847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111580204 + ... + 111582356.

It is an arithmetic number, because the mean of its divisors is an integer number (2287935720).

Almost surely, 2240234495840 is an apocalyptic number.

240234495840 is a gapful number since it is divisible by the number (20) 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 240234495840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439283658240).

240234495840 is an abundant number, since it is smaller than the sum of its proper divisors (638332820640).

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

240234495840 is a wasteful number, since it uses less digits than its factorization.

240234495840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 240234495840 in words is "two hundred forty billion, two hundred thirty-four million, four hundred ninety-five thousand, eight hundred forty".