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14312322321341 = 117997263645599
BaseRepresentation
bin1101000001000101100011…
…1000110100101110111101
31212200020121100110202121112
43100101120320310232331
53333443114003240331
650234553510211405
73005013455314142
oct320213070645675
955606540422545
1014312322321341
114618904913330
1217319a7953b65
137ca85292c055
14376a11d323c9
1519c46a29a32b
hexd0458e34bbd

14312322321341 has 32 divisors (see below), whose sum is σ = 16034844672000. Its totient is φ = 12665703098880.

The previous prime is 14312322321293. The next prime is 14312322321377.

14312322321341 is nontrivially palindromic in base 10.

14312322321341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14312322321341 - 214 = 14312322304957 is a prime.

It is a super-4 number, since 4×143123223213414 (a number of 54 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14312322321298 and 14312322321307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14312322329341) 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, 21846260 + ... + 22491858.

It is an arithmetic number, because the mean of its divisors is an integer number (501088896000).

Almost surely, 214312322321341 is an apocalyptic number.

14312322321341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14312322321341 is a deficient number, since it is larger than the sum of its proper divisors (1722522350659).

14312322321341 is a wasteful number, since it uses less digits than its factorization.

14312322321341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646049.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 1431232 and 2321341, that added together give a palindrome (3752573).

The spelling of 14312322321341 in words is "fourteen trillion, three hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 11 79 97 263 869 1067 2893 7663 20777 25511 84293 228547 280621 645599 2015369 7101589 22169059 51002321 62623103 169792537 561025531 688854133 1867717907 4947225137 13413610423 16469876089 54419476507 147549714653 181168636979 1301120211031 14312322321341