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242230342000 = 24532331374591
BaseRepresentation
bin1110000110011000001…
…1011011000101110000
3212011020110010100001011
43201212003123011300
512432041431421000
6303140140520304
723333456635423
oct3414603330560
9764213110034
10242230342000
1193802793199
123ab42550094
1319ac449791a
14ba1c9879ba
15647ab6d2ba
hex38660db170

242230342000 has 320 divisors, whose sum is σ = 648086519808. Its totient is φ = 87246720000.

The previous prime is 242230341989. The next prime is 242230342001. The reversal of 242230342000 is 243032242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230342001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52759705 + ... + 52764295.

Almost surely, 2242230342000 is an apocalyptic number.

242230342000 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 242230342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324043259904).

242230342000 is an abundant number, since it is smaller than the sum of its proper divisors (405856177808).

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

242230342000 is a wasteful number, since it uses less digits than its factorization.

242230342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 242230342000 its reverse (243032242), we get a palindrome (242473374242).

The spelling of 242230342000 in words is "two hundred forty-two billion, two hundred thirty million, three hundred forty-two thousand".