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256039884240 = 243572238211153
BaseRepresentation
bin1110111001110100101…
…0101001010111010000
3220110212212012202200120
43232131022221113100
513143332202243430
6313342331150240
724332623051500
oct3563512512720
9813785182616
10256039884240
1199649926718
12417572a5380
131b1b54b08aa
14c56ca43a00
1569d81ce610
hex3b9d2a95d0

256039884240 has 480 divisors, whose sum is σ = 965465277696. Its totient is φ = 55862231040.

The previous prime is 256039884229. The next prime is 256039884241. The reversal of 256039884240 is 42488930652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256039884241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 222063504 + ... + 222064656.

Almost surely, 2256039884240 is an apocalyptic number.

256039884240 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 256039884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482732638848).

256039884240 is an abundant number, since it is smaller than the sum of its proper divisors (709425393456).

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

256039884240 is a wasteful number, since it uses less digits than its factorization.

256039884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 256039884240 in words is "two hundred fifty-six billion, thirty-nine million, eight hundred eighty-four thousand, two hundred forty".