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14342522524341 = 3115993739194057
BaseRepresentation
bin1101000010110110000011…
…1101011101001010110101
31212210010120001111000212120
43100231200331131022311
53334441441231234331
650300510333310153
73010133035644204
oct320554075351265
955703501430776
1014342522524341
11462a6a2068890
121737815935359
1380065661c95b
14378278bb323b
1519d13676d796
hexd0b60f5d2b5

14342522524341 has 32 divisors (see below), whose sum is σ = 20902375296000. Its totient is φ = 8675560682880.

The previous prime is 14342522524339. The next prime is 14342522524361.

14342522524341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14342522524341 - 21 = 14342522524339 is a prime.

It is a super-2 number, since 2×143425225243412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14342522524293 and 14342522524302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14342522524361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73811785 + ... + 74005841.

It is an arithmetic number, because the mean of its divisors is an integer number (653199228000).

Almost surely, 214342522524341 is an apocalyptic number.

14342522524341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14342522524341 is a deficient number, since it is larger than the sum of its proper divisors (6559852771659).

14342522524341 is a wasteful number, since it uses less digits than its factorization.

14342522524341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198409.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 1434252 and 2524341, that added together give a palindrome (3958593).

The spelling of 14342522524341 in words is "fourteen trillion, three hundred forty-two billion, five hundred twenty-two million, five hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 11 33 599 1797 3739 6589 11217 19767 41129 123387 194057 582171 2134627 2239661 6403881 6718983 24636271 73908813 116240143 348720429 725579123 1278641573 2176737369 3835924719 7981370353 23944111059 434621894677 1303865684031 4780840841447 14342522524341