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242212300409 = 171923237113751
BaseRepresentation
bin1110000110010011111…
…0100110011001111001
3212011012012011201122002
43201210332212121321
512432022322103114
6303134254110345
723333150404142
oct3414476463171
9764165151562
10242212300409
11937a3590292
123ab384ab3b5
1319ac081ba21
14ba1a40cac9
1564792a77de
hex3864fa6679

242212300409 has 32 divisors (see below), whose sum is σ = 281834588160. Its totient is φ = 206474400000.

The previous prime is 242212300373. The next prime is 242212300417. The reversal of 242212300409 is 904003212242.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 242212300409 - 28 = 242212300153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242212300609) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17607284 + ... + 17621034.

It is an arithmetic number, because the mean of its divisors is an integer number (8807330880).

Almost surely, 2242212300409 is an apocalyptic number.

It is an amenable number.

242212300409 is a deficient number, since it is larger than the sum of its proper divisors (39622287751).

242212300409 is a wasteful number, since it uses less digits than its factorization.

242212300409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16181.

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 242212300409 in words is "two hundred forty-two billion, two hundred twelve million, three hundred thousand, four hundred nine".

Divisors: 1 17 19 23 323 391 437 2371 7429 13751 40307 45049 54533 233767 261269 316273 765833 927061 1036127 4441573 5376641 6009187 17614159 32603621 102156179 554261557 619468799 749883283 10530969583 12748015811 14247782377 242212300409