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14322144122341 = 111579439878597
BaseRepresentation
bin1101000001101010001001…
…0100000001010111100101
31212201011221211220221122221
43100122202110001113211
53334123222343403331
650243300245352341
73005512040251366
oct320324224012745
955634854827587
1014322144122341
114621a94a85840
1217338891086b1
137cb759726313
143772a4549b6d
1519c8426a8711
hexd06a25015e5

14322144122341 has 16 divisors (see below), whose sum is σ = 15725357867520. Its totient is φ = 12935814914880.

The previous prime is 14322144122269. The next prime is 14322144122353.

14322144122341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14322144122341 - 219 = 14322143598053 is a prime.

It is a super-2 number, since 2×143221441223412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14322144122297 and 14322144122306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322144122381) 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, 15861855 + ... + 16740451.

It is an arithmetic number, because the mean of its divisors is an integer number (982834866720).

Almost surely, 214322144122341 is an apocalyptic number.

14322144122341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14322144122341 is a deficient number, since it is larger than the sum of its proper divisors (1403213745179).

14322144122341 is a wasteful number, since it uses less digits than its factorization.

14322144122341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888204.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1432214 and 4122341, that added together give a palindrome (5554555).

The spelling of 14322144122341 in words is "fourteen trillion, three hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, three hundred forty-one".

Divisors: 1 11 157 1727 9439 103829 878597 1481923 9664567 16301153 137939729 1517337019 8293077083 91223847913 1302013102031 14322144122341