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14111455411141 = 1129417291060091
BaseRepresentation
bin1100110101011001010001…
…0010010111101111000101
31211222001010120221110212221
43031112110102113233011
53322200230041124031
650002414011212341
72654343006616144
oct315262422275705
954861116843787
1014111455411141
1145506a8770720
1216baa89a470b1
137b4920b3097a
1436add8a6975b
15197110b83a11
hexcd594497bc5

14111455411141 has 16 divisors (see below), whose sum is σ = 15925550097600. Its totient is φ = 12385921945600.

The previous prime is 14111455411117. The next prime is 14111455411171.

14111455411141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14111455411141 - 239 = 13561699597253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14111455411097 and 14111455411106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14111455411111) 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 15 ways as a sum of consecutive naturals, for example, 12781506 + ... + 13841596.

It is an arithmetic number, because the mean of its divisors is an integer number (995346881100).

Almost surely, 214111455411141 is an apocalyptic number.

14111455411141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14111455411141 is a deficient number, since it is larger than the sum of its proper divisors (1814094686459).

14111455411141 is a wasteful number, since it uses less digits than its factorization.

14111455411141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101860.

The product of its digits is 6400, while the sum is 34.

It can be divided in two parts, 1411145 and 5411141, that added together give a palindrome (6822286).

The spelling of 14111455411141 in words is "fourteen trillion, one hundred eleven billion, four hundred fifty-five million, four hundred eleven thousand, one hundred forty-one".

Divisors: 1 11 29 319 41729 459019 1060091 1210141 11661001 13311551 30742639 338169029 44236537339 486601910729 1282859582831 14111455411141