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14241222214241 = 11591011073920231
BaseRepresentation
bin1100111100111100101011…
…1111011100001001100001
31212102110002021002002111112
43033033022333130021201
53331312010341323431
650142154400153105
72666615522344151
oct317171277341141
955373067062445
1014241222214241
1145a0739743540
121720064608795
137c3c315c7069
143733c9190761
1519a6a82d1c2b
hexcf3cafdc261

14241222214241 has 32 divisors (see below), whose sum is σ = 15957900979200. Its totient is φ = 12599324920000.

The previous prime is 14241222214201. The next prime is 14241222214249.

14241222214241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14241222214241 - 210 = 14241222213217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14241222214198 and 14241222214207.

It is not an unprimeable number, because it can be changed into a prime (14241222214249) 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, 703920596 + ... + 703940826.

It is an arithmetic number, because the mean of its divisors is an integer number (498684405600).

Almost surely, 214241222214241 is an apocalyptic number.

14241222214241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14241222214241 is a deficient number, since it is larger than the sum of its proper divisors (1716678764959).

14241222214241 is a wasteful number, since it uses less digits than its factorization.

14241222214241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31141.

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 1424122 and 2214241, that added together give a palindrome (3638363).

The spelling of 14241222214241 in words is "fourteen trillion, two hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, two hundred forty-one".

Divisors: 1 11 59 101 649 1111 5959 10739 20231 65549 118129 222541 633601 1084639 1193629 2043331 6969611 11931029 13129919 22476641 63993701 120556529 217260709 703930711 1326121819 2389867799 12818381831 21943331609 141002200141 241376647699 1294656564931 14241222214241