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242300556288 = 210327376651
BaseRepresentation
bin1110000110101000111…
…1010001010000000000
3212011102100020120221100
43201222033101100000
512432212420300123
6303151125454400
723335301514000
oct3415217212000
9764370216840
10242300556288
119383939022a
123ab61b71400
1319b05bacb3b
14ba28024000
156481ddc643
hex386a3d1400

242300556288 has 264 divisors, whose sum is σ = 815914548800. Its totient is φ = 69227827200.

The previous prime is 242300556269. The next prime is 242300556299. The reversal of 242300556288 is 882655003242.

242300556288 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 0 + 0 + 5 + 562 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3122763 + ... + 3199413.

Almost surely, 2242300556288 is an apocalyptic number.

242300556288 is a gapful number since it is divisible by the number (28) 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 242300556288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407957274400).

242300556288 is an abundant number, since it is smaller than the sum of its proper divisors (573613992512).

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

242300556288 is an equidigital number, since it uses as much as digits as its factorization.

242300556288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76698 (or 76663 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 242300556288 in words is "two hundred forty-two billion, three hundred million, five hundred fifty-six thousand, two hundred eighty-eight".