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14322244222341 = 32111011432367659
BaseRepresentation
bin1101000001101010100001…
…0001110111110110000101
31212201012012211021120001100
43100122220101313312011
53334123424010103331
650243314223050313
73005514364141206
oct320325021676605
955635184246040
1014322244222341
114622036535410
1217338b6740999
137cb7743a34a3
143772b39655ad
1519c84b37cae6
hexd06a8477d85

14322244222341 has 24 divisors (see below), whose sum is σ = 22791834205920. Its totient is φ = 8594205948000.

The previous prime is 14322244222249. The next prime is 14322244222387.

14322244222341 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 224 + 422 + 2 + 3 + 4 + 1 = 666.

14322244222341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14322244222341 - 29 = 14322244221829 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14322244222296 and 14322244222305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322244222841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716173831 + ... + 716193828.

It is an arithmetic number, because the mean of its divisors is an integer number (949659758580).

Almost surely, 214322244222341 is an apocalyptic number.

14322244222341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14322244222341 is a deficient number, since it is larger than the sum of its proper divisors (8469589983579).

14322244222341 is a wasteful number, since it uses less digits than its factorization.

14322244222341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432367777 (or 1432367774 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 1432224 and 4222341, that added together give a palindrome (5654565).

The spelling of 14322244222341 in words is "fourteen trillion, three hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 101 303 909 1111 3333 9999 1432367659 4297102977 12891308931 15756044249 47268132747 141804398241 144669133559 434007400677 1302022202031 1591360469149 4774081407447 14322244222341