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242334320214 = 237193761157857
BaseRepresentation
bin1110000110110001000…
…0000100011001010110
3212011111200202222100010
43201230100010121112
512432300041221324
6303154333301050
723336161510050
oct3415420043126
9764450688303
10242334320214
11938564515a8
123ab71334786
1319b0cba20ac
14ba2c6d28d0
156484d5b829
hex386c404656

242334320214 has 256 divisors, whose sum is σ = 613226465280. Its totient is φ = 62302556160.

The previous prime is 242334320213. The next prime is 242334320227. The reversal of 242334320214 is 412023433242.

242334320214 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242334320213) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282770074 + ... + 282770930.

It is an arithmetic number, because the mean of its divisors is an integer number (2395415880).

Almost surely, 2242334320214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242334320214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306613232640).

242334320214 is an abundant number, since it is smaller than the sum of its proper divisors (370892145066).

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

242334320214 is a wasteful number, since it uses less digits than its factorization.

242334320214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242334320214 its reverse (412023433242), we get a palindrome (654357753456).

The spelling of 242334320214 in words is "two hundred forty-two billion, three hundred thirty-four million, three hundred twenty thousand, two hundred fourteen".