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14143233234141 = 32112921612279611
BaseRepresentation
bin1100110111001111101001…
…1001001001010011011101
31212002002011020112010221100
43031303322121021103131
53323210320201443031
650025151152223313
72656546334635344
oct315637231112335
955062136463840
1014143233234141
1145631254a1460
12170507823ab39
137b791661c82b
1436c771256b5b
15197d708d4de6
hexcdcfa6494dd

14143233234141 has 48 divisors (see below), whose sum is σ = 23065478953920. Its totient is φ = 8272248768000.

The previous prime is 14143233234049. The next prime is 14143233234157.

14143233234141 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 233 + 2 + 3 + 414 + 1 = 666.

14143233234141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14143233234141 - 215 = 14143233201373 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14143233234096 and 14143233234105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14143233234161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064426 + ... + 7344036.

It is an arithmetic number, because the mean of its divisors is an integer number (480530811540).

Almost surely, 214143233234141 is an apocalyptic number.

14143233234141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14143233234141 is a deficient number, since it is larger than the sum of its proper divisors (8922245719779).

14143233234141 is a wasteful number, since it uses less digits than its factorization.

14143233234141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281818 (or 2281815 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1414323 and 3234141, that added together give a palindrome (4648464).

The spelling of 14143233234141 in words is "fourteen trillion, one hundred forty-three billion, two hundred thirty-three million, two hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2161 2871 6483 19449 23771 62669 71313 188007 213939 564021 689359 2068077 2279611 6204231 6838833 20516499 25075721 66108719 75227163 198326157 225681489 594978471 727195909 2181587727 4926239371 6544763181 14778718113 44336154339 54188633081 142860941759 162565899243 428582825277 487697697729 1285748475831 1571470359349 4714411078047 14143233234141