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242323238520 = 23345117439151
BaseRepresentation
bin1110000110101110010…
…1110010111001111000
3212011110220220222010000
43201223211302321320
512432234222113040
6303153255553000
723335665353646
oct3415345627170
9764426828100
10242323238520
1193850172780
123ab6968b760
1319b0a7c208c
14ba2b04a196
156483dbd130
hex386b972e78

242323238520 has 320 divisors, whose sum is σ = 889811619840. Its totient is φ = 58659552000.

The previous prime is 242323238519. The next prime is 242323238537. The reversal of 242323238520 is 25832323242.

242323238520 is a `hidden beast` number, since 2 + 4 + 23 + 232 + 385 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26475945 + ... + 26485095.

It is an arithmetic number, because the mean of its divisors is an integer number (2780661312).

Almost surely, 2242323238520 is an apocalyptic number.

242323238520 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 242323238520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444905809920).

242323238520 is an abundant number, since it is smaller than the sum of its proper divisors (647488381320).

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

242323238520 is a wasteful number, since it uses less digits than its factorization.

242323238520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9915 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 242323238520 in words is "two hundred forty-two billion, three hundred twenty-three million, two hundred thirty-eight thousand, five hundred twenty".