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14222311322241 = 3113711648084621
BaseRepresentation
bin1100111011110110001111…
…0100000111001010000001
31212100122021022220020120010
43032331203310013022001
53331004243144302431
650125350054135133
72665346063410221
oct316754364071201
955318238806503
1014222311322241
114593714a6a480
1217184673514a9
137c2209758539
143725137b0081
15199e4ce99846
hexcef63d07281

14222311322241 has 16 divisors (see below), whose sum is σ = 21246106350528. Its totient is φ = 8386620926400.

The previous prime is 14222311322213. The next prime is 14222311322243.

14222311322241 is nontrivially palindromic in base 10.

14222311322241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14222311322241 - 25 = 14222311322209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14222311322199 and 14222311322208.

It is not an unprimeable number, because it can be changed into a prime (14222311322243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5824041090 + ... + 5824043531.

It is an arithmetic number, because the mean of its divisors is an integer number (1327881646908).

Almost surely, 214222311322241 is an apocalyptic number.

14222311322241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14222311322241 is a deficient number, since it is larger than the sum of its proper divisors (7023795028287).

14222311322241 is a wasteful number, since it uses less digits than its factorization.

14222311322241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11648084672.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 1422231 and 1322241, that added together give a palindrome (2744472).

The spelling of 14222311322241 in words is "fourteen trillion, two hundred twenty-two billion, three hundred eleven million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 11 33 37 111 407 1221 11648084621 34944253863 128128930831 384386792493 430979130977 1292937392931 4740770440747 14222311322241