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230431441314105 = 32531433841484393
BaseRepresentation
bin110100011001001110000000…
…001101000110000100111001
31010012220000211100021102200100
4310121032000031012010321
5220200342042434022410
62134030424233230013
766352056633456603
oct6431160015060471
91105800740242610
10230431441314105
1167471475317409
1221a171a7562309
139b7678cbb6a25
1440c8d26ba6173
151b990b5b918c0
hexd19380346139

230431441314105 has 48 divisors (see below), whose sum is σ = 421887182086656. Its totient is φ = 116166488014080.

The previous prime is 230431441314073. The next prime is 230431441314131. The reversal of 230431441314105 is 501413144134032.

230431441314105 is a `hidden beast` number, since 2 + 30 + 43 + 1 + 44 + 131 + 410 + 5 = 666.

It is not a de Polignac number, because 230431441314105 - 25 = 230431441314073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 230431441314105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920682212 + ... + 1920802181.

It is an arithmetic number, because the mean of its divisors is an integer number (8789316293472).

Almost surely, 2230431441314105 is an apocalyptic number.

It is an amenable number.

230431441314105 is a deficient number, since it is larger than the sum of its proper divisors (191455740772551).

230431441314105 is a wasteful number, since it uses less digits than its factorization.

230431441314105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841484478 (or 3841484475 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 230431441314105 its reverse (501413144134032), we get a palindrome (731844585448137).

The spelling of 230431441314105 in words is "two hundred thirty trillion, four hundred thirty-one billion, four hundred forty-one million, three hundred fourteen thousand, one hundred five".

Divisors: 1 3 5 9 15 31 43 45 93 129 155 215 279 387 465 645 1333 1395 1935 3999 6665 11997 19995 59985 3841484393 11524453179 19207421965 34573359537 57622265895 119086016183 165183828899 172866797685 357258048549 495551486697 595430080915 825919144495 1071774145647 1486654460091 1786290242745 2477757433485 5120698695869 5358870728235 7433272300455 15362096087607 25603493479345 46086288262821 76810480438035 230431441314105