Search a number
-
+
14421411412441 = 1112797691133279
BaseRepresentation
bin1101000111011011111100…
…0110101011100111011001
31220001200011221211202212221
43101312333012223213121
53342240022310144231
650401034400104041
73015625006302415
oct321667706534731
956050157752787
1014421411412441
1146600a4860070
12174ab71605021
13807c194b30b7
1437c000159d45
151a020240dd11
hexd1dbf1ab9d9

14421411412441 has 16 divisors (see below), whose sum is σ = 15746914713600. Its totient is φ = 13098321939600.

The previous prime is 14421411412439. The next prime is 14421411412501.

14421411412441 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14421411412441 - 21 = 14421411412439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14421411412397 and 14421411412406.

It is not an unprimeable number, because it can be changed into a prime (14421411412411) 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, 108138040 + ... + 108271318.

It is an arithmetic number, because the mean of its divisors is an integer number (984182169600).

Almost surely, 214421411412441 is an apocalyptic number.

14421411412441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14421411412441 is a deficient number, since it is larger than the sum of its proper divisors (1325503301159).

14421411412441 is a wasteful number, since it uses less digits than its factorization.

14421411412441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142260.

The product of its digits is 16384, while the sum is 34.

It can be divided in two parts, 1442141 and 1412441, that added together give a palindrome (2854582).

The spelling of 14421411412441 in words is "fourteen trillion, four hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, four hundred forty-one".

Divisors: 1 11 1279 7691 14069 84601 133279 1466069 9836789 108204679 170463841 1025048789 1875102251 11275536679 1311037401131 14421411412441