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14143143313431 = 3211236211305803
BaseRepresentation
bin1100110111001111010100…
…0010001000000000010111
31212002001220222022200220200
43031303311002020000113
53323210124142012211
650025134221031543
72656544163423006
oct315636502100027
955061828280820
1014143143313431
114563089764720
1217050520b55b3
137b7900ac7a02
1436c76332ac3d
15197d67a71b56
hexcdcf5088017

14143143313431 has 24 divisors (see below), whose sum is σ = 23255128930176. Its totient is φ = 8198923658640.

The previous prime is 14143143313421. The next prime is 14143143313463. The reversal of 14143143313431 is 13431334134141.

14143143313431 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 314 + 331 + 3 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 14143143313431 - 26 = 14143143313367 is a prime.

It is a super-2 number, since 2×141431433134312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14143143313421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105650625 + ... + 3105655178.

It is an arithmetic number, because the mean of its divisors is an integer number (968963705424).

Almost surely, 214143143313431 is an apocalyptic number.

14143143313431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14143143313431 is a deficient number, since it is larger than the sum of its proper divisors (9111985616745).

14143143313431 is a wasteful number, since it uses less digits than its factorization.

14143143313431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6211305843 (or 6211305840 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 14143143313431 its reverse (13431334134141), we get a palindrome (27574477447572).

The spelling of 14143143313431 in words is "fourteen trillion, one hundred forty-three billion, one hundred forty-three million, three hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 6211305803 18633917409 55901752227 68324363833 142860033469 204973091499 428580100407 614919274497 1285740301221 1571460368159 4714381104477 14143143313431