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242321243140 = 225113107221789
BaseRepresentation
bin1110000110101101111…
…0001011110000000100
3212011110210011120222001
43201223132023300010
512432233214240030
6303153145115044
723335642403344
oct3415336136004
9764423146861
10242321243140
119384a02a5a9
123ab68a88a84
1319b0a273a92
14ba2aa8ad24
156483b26cca
hex386b78bc04

242321243140 has 24 divisors (see below), whose sum is σ = 513377930520. Its totient is φ = 96070722048.

The previous prime is 242321243033. The next prime is 242321243147. The reversal of 242321243140 is 41342123242.

It can be written as a sum of positive squares in 4 ways, for example, as 1758460356 + 240562782784 = 41934^2 + 490472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242321243099 and 242321243108.

It is not an unprimeable number, because it can be changed into a prime (242321243147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53608635 + ... + 53613154.

It is an arithmetic number, because the mean of its divisors is an integer number (21390747105).

Almost surely, 2242321243140 is an apocalyptic number.

242321243140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242321243140 is an abundant number, since it is smaller than the sum of its proper divisors (271056687380).

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

242321243140 is a wasteful number, since it uses less digits than its factorization.

242321243140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107221911 (or 107221909 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 242321243140 its reverse (41342123242), we get a palindrome (283663366382).

The spelling of 242321243140 in words is "two hundred forty-two billion, three hundred twenty-one million, two hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 107221789 214443578 428887156 536108945 1072217890 2144435780 12116062157 24232124314 48464248628 60580310785 121160621570 242321243140