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14133403431 = 3272913675659
BaseRepresentation
bin11010010100110101…
…01001111100100111
31100110222111021200100
431022122221330213
5212421122402211
610254235515143
71010144642550
oct151232517447
940428437610
1014133403431
115aa2a35204
1228a52b8ab3
131443149814
149810c1327
1557abd5156
hex34a6a9f27

14133403431 has 48 divisors (see below), whose sum is σ = 24157785600. Its totient is φ = 7790658624.

The previous prime is 14133403421. The next prime is 14133403447. The reversal of 14133403431 is 13430433141.

It is not a de Polignac number, because 14133403431 - 27 = 14133403303 is a prime.

It is a super-3 number, since 3×141334034313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 14133403395 and 14133403404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14133403421) 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 47 ways as a sum of consecutive naturals, for example, 2494680 + ... + 2500338.

It is an arithmetic number, because the mean of its divisors is an integer number (503287200).

Almost surely, 214133403431 is an apocalyptic number.

14133403431 is a deficient number, since it is larger than the sum of its proper divisors (10024382169).

14133403431 is a wasteful number, since it uses less digits than its factorization.

14133403431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7065 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14133403431 its reverse (13430433141), we get a palindrome (27563836572).

The spelling of 14133403431 in words is "fourteen billion, one hundred thirty-three million, four hundred three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1367 1827 4101 5659 9569 12303 16977 28707 39613 39643 50931 86121 118839 118929 164111 277501 356517 356787 492333 832503 1148777 1476999 2497509 3446331 7735853 10338993 23207559 54150971 69622677 162452913 224339737 487358739 673019211 1570378159 2019057633 4711134477 14133403431