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255835261440 = 29325111953129
BaseRepresentation
bin1110111001000011111…
…0000100101000000000
3220110100121011211222100
43232100332010220000
513142422311331230
6313310141310400
724324556561533
oct3562076045000
9813317154870
10255835261440
1199554376570
12416ba865400
131b181c98405
14c54d7baa1a
1569c5260660
hex3b90f84a00

255835261440 has 480 divisors, whose sum is σ = 1017469252800. Its totient is φ = 58755317760.

The previous prime is 255835261433. The next prime is 255835261447. The reversal of 255835261440 is 44162538552.

255835261440 is a `hidden beast` number, since 2 + 5 + 5 + 83 + 526 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (255835261433) and next prime (255835261447).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (255835261447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4788796 + ... + 4841924.

It is an arithmetic number, because the mean of its divisors is an integer number (2119727610).

Almost surely, 2255835261440 is an apocalyptic number.

255835261440 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 255835261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508734626400).

255835261440 is an abundant number, since it is smaller than the sum of its proper divisors (761633991360).

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

255835261440 is a wasteful number, since it uses less digits than its factorization.

255835261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53188 (or 53169 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 255835261440 its reverse (44162538552), we get a palindrome (299997799992).

The spelling of 255835261440 in words is "two hundred fifty-five billion, eight hundred thirty-five million, two hundred sixty-one thousand, four hundred forty".