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14032344323041 = 11113211427112527
BaseRepresentation
bin1100110000110010100011…
…1001100001001111100001
31211200110221012110210202221
43030030220321201033201
53314401220121314131
645502211530111041
72645542400512342
oct314145071411741
954613835423687
1014032344323041
1145200a1603280
1216a768b87b481
137aa323c0c635
14367251da20c9
15195030751411
hexcc328e613e1

14032344323041 has 32 divisors (see below), whose sum is σ = 15521544953856. Its totient is φ = 12579911904000.

The previous prime is 14032344323033. The next prime is 14032344323059.

14032344323041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14032344323041 - 23 = 14032344323033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14032344322988 and 14032344323006.

It is not an unprimeable number, because it can be changed into a prime (14032344323021) 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, 1120161720 + ... + 1120174246.

It is an arithmetic number, because the mean of its divisors is an integer number (485048279808).

Almost surely, 214032344323041 is an apocalyptic number.

14032344323041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14032344323041 is a deficient number, since it is larger than the sum of its proper divisors (1489200630815).

14032344323041 is a wasteful number, since it uses less digits than its factorization.

14032344323041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17133.

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 1403234 and 4323041, that added together give a palindrome (5726275).

The spelling of 14032344323041 in words is "fourteen trillion, thirty-two billion, three hundred forty-four million, three hundred twenty-three thousand, forty-one".

Divisors: 1 11 113 211 1243 2321 4271 12527 23843 46981 137797 262273 482623 901181 1415551 2643197 5308853 9912991 15571061 29075167 53502817 101833453 298681261 588530987 1120167983 3285493871 6045818321 11289094387 66504001531 124180038257 1275667665731 14032344323041