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14222466422241 = 3711292123073059
BaseRepresentation
bin1100111011110110110100…
…0011110001010111100001
31212100122200010202010202120
43032331231003301113201
53331010102401002431
650125413314334453
72665352655630630
oct316755503612741
955318603663676
1014222466422241
1145937945753a0
1217184ab28a429
137c223292189c
1437252a225517
15199e5b8d5196
hexcef6d0f15e1

14222466422241 has 32 divisors (see below), whose sum is σ = 24457801651200. Its totient is φ = 7133525474880.

The previous prime is 14222466422159. The next prime is 14222466422243.

14222466422241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14222466422241 - 211 = 14222466420193 is a prime.

It is a super-2 number, since 2×142224664222412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14222466422193 and 14222466422202.

It is not an unprimeable number, because it can be changed into a prime (14222466422243) 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, 1061529831 + ... + 1061543228.

It is an arithmetic number, because the mean of its divisors is an integer number (764306301600).

Almost surely, 214222466422241 is an apocalyptic number.

14222466422241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14222466422241 is a deficient number, since it is larger than the sum of its proper divisors (10235335228959).

14222466422241 is a wasteful number, since it uses less digits than its factorization.

14222466422241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123073109.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 1422246 and 6422241, that added together give a palindrome (7844487).

The spelling of 14222466422241 in words is "fourteen trillion, two hundred twenty-two billion, four hundred sixty-six million, four hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 2123073059 6369219177 14861511413 23353803649 44584534239 61569118711 70061410947 163476625543 184707356133 430983830977 490429876629 677260305821 1292951492931 2031780917463 4740822140747 14222466422241