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242315162424 = 2332291013133671
BaseRepresentation
bin1110000110101100011…
…0111111001100111000
3212011110100201122210100
43201223012333030320
512432230140144144
6303152410515400
723335536616326
oct3415306771470
9764410648710
10242315162424
1193846657015
123ab66a35b60
1319b08c2511a
14ba29d46d16
156483325269
hex386b1bf338

242315162424 has 192 divisors, whose sum is σ = 687999873600. Its totient is φ = 76946688000.

The previous prime is 242315162363. The next prime is 242315162431. The reversal of 242315162424 is 424261513242.

242315162424 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 5 + 1 + 624 + 24 = 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 47 ways as a sum of consecutive naturals, for example, 66006109 + ... + 66009779.

It is an arithmetic number, because the mean of its divisors is an integer number (3583332675).

Almost surely, 2242315162424 is an apocalyptic number.

242315162424 is a gapful number since it is divisible by the number (24) 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 242315162424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343999936800).

242315162424 is an abundant number, since it is smaller than the sum of its proper divisors (445684711176).

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

242315162424 is a wasteful number, since it uses less digits than its factorization.

242315162424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4119 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 242315162424 its reverse (424261513242), we get a palindrome (666576675666).

The spelling of 242315162424 in words is "two hundred forty-two billion, three hundred fifteen million, one hundred sixty-two thousand, four hundred twenty-four".