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242334664420 = 22517712749013
BaseRepresentation
bin1110000110110001000…
…1011000011011100100
3212011111201102110111111
43201230101120123210
512432300133230140
6303154344514404
723336164442422
oct3415421303344
9764451373444
10242334664420
1193856667172
123ab7147ba04
1319b0cc92974
14ba2c782112
156484dc87ea
hex386c4586e4

242334664420 has 24 divisors (see below), whose sum is σ = 538838254584. Its totient is φ = 91231873536.

The previous prime is 242334664391. The next prime is 242334664433. The reversal of 242334664420 is 24466433242.

It can be written as a sum of positive squares in 4 ways, for example, as 88933975524 + 153400688896 = 298218^2 + 391664^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 356374167 + ... + 356374846.

It is an arithmetic number, because the mean of its divisors is an integer number (22451593941).

Almost surely, 2242334664420 is an apocalyptic number.

242334664420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242334664420 is an abundant number, since it is smaller than the sum of its proper divisors (296503590164).

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

242334664420 is a wasteful number, since it uses less digits than its factorization.

242334664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712749039 (or 712749037 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

The spelling of 242334664420 in words is "two hundred forty-two billion, three hundred thirty-four million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 712749013 1425498026 2850996052 3563745065 7127490130 12116733221 14254980260 24233466442 48466932884 60583666105 121167332210 242334664420