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14422143330441 = 3371135952336947
BaseRepresentation
bin1101000111011110101010…
…1110101110100010001001
31220001202001222002001122000
43101313222232232202021
53342243022143033231
650401235143421213
73015652104431220
oct321675256564211
956052058061560
1014422143330441
11466043aa1a980
12174b136754809
13808005019482
1437c06d441cb7
151a02467d86e6
hexd1deabae889

14422143330441 has 128 divisors (see below), whose sum is σ = 26764303564800. Its totient is φ = 7456666351680.

The previous prime is 14422143330389. The next prime is 14422143330451. The reversal of 14422143330441 is 14403334122441.

14422143330441 is a `hidden beast` number, since 1 + 4 + 42 + 2 + 143 + 3 + 30 + 441 = 666.

It is not a de Polignac number, because 14422143330441 - 210 = 14422143329417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14422143330396 and 14422143330405.

It is not an unprimeable number, because it can be changed into a prime (14422143330451) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 390328330 + ... + 390365276.

It is an arithmetic number, because the mean of its divisors is an integer number (209096121600).

Almost surely, 214422143330441 is an apocalyptic number.

14422143330441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14422143330441 is a deficient number, since it is larger than the sum of its proper divisors (12342160234359).

14422143330441 is a wasteful number, since it uses less digits than its factorization.

14422143330441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37856 (or 37850 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14422143330441 its reverse (14403334122441), we get a palindrome (28825477452882).

The spelling of 14422143330441 in words is "fourteen trillion, four hundred twenty-two billion, one hundred forty-three million, three hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 359 523 693 1077 1569 2079 2513 3231 3661 3949 4707 5753 7539 9693 10983 11847 14121 17259 22617 27643 32949 35541 36947 40271 51777 67851 82929 98847 106623 110841 120813 155331 187757 248787 258629 332523 362439 406417 563271 746361 775887 997569 1087317 1219251 1314299 1689813 2065327 2327661 2844919 3657753 3942897 5069439 6195981 6982983 8534757 10973259 11828691 13263973 14457289 18587943 19323281 25604271 35486073 39791919 43371867 55763829 57969843 76812813 92847811 119375757 130115601 135262967 145903703 173909529 212556091 278543433 358127271 390346803 405788901 437711109 521728587 637668273 835630299 1021325921 1217366703 1313133327 1487892637 1913004819 2506890897 3063977763 3652100109 3939399981 4463677911 5739014457 6937057879 9191933289 13391033733 20811173637 27575799867 40173101199 48559405153 62433520911 76307636669 145678215459 187300562733 228922910007 437034646377 534153456683 686768730021 1311103939131 1602460370049 2060306190063 4807381110147 14422143330441