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242430034314 = 231364717592731
BaseRepresentation
bin1110000111000111110…
…1001100000110001010
3212011202100212202101210
43201301331030012022
512432444042044224
6303212032553550
723341433201646
oct3416175140612
9764670782353
10242430034314
11938a5485a66
123ab993b28b6
1319b26974b60
14ba3b2c9c26
15648d466429
hex3871f4c18a

242430034314 has 64 divisors (see below), whose sum is σ = 523452948480. Its totient is φ = 74408967360.

The previous prime is 242430034309. The next prime is 242430034331. The reversal of 242430034314 is 413430034242.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88768329 + ... + 88771059.

It is an arithmetic number, because the mean of its divisors is an integer number (8178952320).

Almost surely, 2242430034314 is an apocalyptic number.

242430034314 is an abundant number, since it is smaller than the sum of its proper divisors (281022914166).

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

242430034314 is a wasteful number, since it uses less digits than its factorization.

242430034314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 242430034314 its reverse (413430034242), we get a palindrome (655860068556).

The spelling of 242430034314 in words is "two hundred forty-two billion, four hundred thirty million, thirty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 647 1294 1759 1941 2731 3518 3882 5277 5462 8193 8411 10554 16386 16822 22867 25233 35503 45734 50466 68601 71006 106509 137202 213018 1138073 1766957 2276146 3414219 3533914 4803829 5300871 6828438 9607658 10601742 14411487 14794949 22970441 28822974 29589898 44384847 45940882 62449777 68911323 88769694 124899554 137822646 187349331 374698662 3108077363 6216154726 9324232089 18648464178 40405005719 80810011438 121215017157 242430034314