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14434411443441 = 311481147909091
BaseRepresentation
bin1101001000001100010111…
…1101110111010011110001
31220002220201221200202212120
43102003011331313103301
53342443133312142231
650411024351544453
73016565112606423
oct322030575672361
956086657622776
1014434411443441
114665665a56840
12175159b22b129
1380920b895c32
1437c8b48d2813
151a0713869d96
hexd20c5f774f1

14434411443441 has 16 divisors (see below), whose sum is σ = 20995574285568. Its totient is φ = 8748100342800.

The previous prime is 14434411443407. The next prime is 14434411443461.

14434411443441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14434411443441 - 241 = 12235388187889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14434411443393 and 14434411443402.

It is not an unprimeable number, because it can be changed into a prime (14434411443461) 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, 15423306 + ... + 16332396.

It is an arithmetic number, because the mean of its divisors is an integer number (1312223392848).

Almost surely, 214434411443441 is an apocalyptic number.

14434411443441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14434411443441 is a deficient number, since it is larger than the sum of its proper divisors (6561162842127).

14434411443441 is a wasteful number, since it uses less digits than its factorization.

14434411443441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390252.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 1443441 and 1443441, that added together give a palindrome (2886882).

The spelling of 14434411443441 in words is "fourteen trillion, four hundred thirty-four billion, four hundred eleven million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 11 33 481147 909091 1443441 2727273 5292617 10000001 15877851 30000003 437406407377 1312219222131 4811470481147 14434411443441