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414242101422 = 232173161382471
BaseRepresentation
bin1100000011100101100…
…00001101100010101110
31110121020020121002021200
412001302300031202232
523241331434221142
6514144501510330
741633206523412
oct6016260154256
91417206532250
10414242101422
1114a751959a56
1268348a123a6
13300a81556a6
141609989ad42
15ab96e0064c
hex6072c0d8ae

414242101422 has 48 divisors (see below), whose sum is σ = 903283157088. Its totient is φ = 137195772480.

The previous prime is 414242101411. The next prime is 414242101433. The reversal of 414242101422 is 224101242414.

414242101422 is a `hidden beast` number, since 4 + 1 + 4 + 24 + 210 + 1 + 422 = 666.

It is an interprime number because it is at equal distance from previous prime (414242101411) and next prime (414242101433).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4981647 + ... + 5064117.

It is an arithmetic number, because the mean of its divisors is an integer number (18818399106).

Almost surely, 2414242101422 is an apocalyptic number.

414242101422 is an abundant number, since it is smaller than the sum of its proper divisors (489041055666).

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

414242101422 is a wasteful number, since it uses less digits than its factorization.

414242101422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84265 (or 84262 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 414242101422 its reverse (224101242414), we get a palindrome (638343343836).

The spelling of 414242101422 in words is "four hundred fourteen billion, two hundred forty-two million, one hundred one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 1613 3114 3226 4839 9678 14517 29034 82471 164942 247413 279049 494826 558098 742239 837147 1484478 1674294 2511441 5022882 14267483 28534966 42802449 85604898 128407347 133025723 256814694 266051446 399077169 798154338 1197231507 2394463014 23013450079 46026900158 69040350237 138080700474 207121050711 414242101422