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14422422441 = 3741113271547
BaseRepresentation
bin11010110111010010…
…01011001110101001
31101020010022222020010
431123221023032221
5214014120004231
610343042322133
71020254365560
oct153351131651
941203288203
1014422422441
116131099499
122966059349
13148aca139b
149ab636bd7
15596275546
hex35ba4b3a9

14422422441 has 64 divisors (see below), whose sum is σ = 22837764096. Its totient is φ = 7925299200.

The previous prime is 14422422433. The next prime is 14422422449.

14422422441 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (14422422433) and next prime (14422422449).

It is not a de Polignac number, because 14422422441 - 23 = 14422422433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14422422399 and 14422422408.

It is not an unprimeable number, because it can be changed into a prime (14422422449) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 26366130 + ... + 26366676.

It is an arithmetic number, because the mean of its divisors is an integer number (356840064).

Almost surely, 214422422441 is an apocalyptic number.

It is an amenable number.

14422422441 is a deficient number, since it is larger than the sum of its proper divisors (8415341655).

14422422441 is a wasteful number, since it uses less digits than its factorization.

14422422441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982.

The product of its digits is 16384, while the sum is 30.

The spelling of 14422422441 in words is "fourteen billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 7 21 41 113 123 271 287 339 547 791 813 861 1641 1897 2373 3829 4633 5691 11111 11487 13899 22427 30623 32431 33333 61811 67281 77777 91869 97293 148237 156989 185433 214361 233331 432677 444711 470967 643083 1037659 1255543 1298031 2534251 3112977 3766629 6077717 7602753 8788801 16750781 17739757 18233151 26366403 42544019 50252343 53219271 117255467 127632057 351766401 686782021 2060346063 4807474147 14422422441