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242301240324 = 2233111327295749
BaseRepresentation
bin1110000110101001000…
…1111000010000000100
3212011102101112100021000
43201222101320100010
512432213104142244
6303151152253300
723335310363163
oct3415221702004
9764371470230
10242301240324
1193839808150
123ab62241230
1319b0608c2b0
14ba281613da
156481ec5169
hex386a478404

242301240324 has 192 divisors, whose sum is σ = 738410400000. Its totient is φ = 67739950080.

The previous prime is 242301240317. The next prime is 242301240347. The reversal of 242301240324 is 423042103242.

242301240324 is a `hidden beast` number, since 2 + 4 + 230 + 1 + 2 + 403 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42143802 + ... + 42149550.

It is an arithmetic number, because the mean of its divisors is an integer number (3845887500).

Almost surely, 2242301240324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242301240324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369205200000).

242301240324 is an abundant number, since it is smaller than the sum of its proper divisors (496109159676).

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

242301240324 is a wasteful number, since it uses less digits than its factorization.

242301240324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8507 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 242301240324 its reverse (423042103242), we get a palindrome (665343343566).

The spelling of 242301240324 in words is "two hundred forty-two billion, three hundred one million, two hundred forty thousand, three hundred twenty-four".