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14020334434431 = 32137331483110237
BaseRepresentation
bin1100110000000101110100…
…0011011011100001111111
31211122022221012202020210200
43030001131003123201333
53314202121103400211
645452504104334543
72644635646242003
oct314013503334177
954568835666720
1014020334434431
114515a993081a6
1216a5299774453
137a915b9c4b80
14366832d2c703
15194a7b1cab56
hexcc05d0db87f

14020334434431 has 48 divisors (see below), whose sum is σ = 21854087332896. Its totient is φ = 8610239409408.

The previous prime is 14020334434429. The next prime is 14020334434471. The reversal of 14020334434431 is 13443443302041.

14020334434431 is a `hidden beast` number, since 1 + 4 + 0 + 203 + 3 + 4 + 4 + 3 + 443 + 1 = 666.

It is not a de Polignac number, because 14020334434431 - 21 = 14020334434429 is a prime.

It is a super-2 number, since 2×140203344344312 (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 (14020334434411) 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 47 ways as a sum of consecutive naturals, for example, 127128445 + ... + 127238681.

It is an arithmetic number, because the mean of its divisors is an integer number (455293486102).

Almost surely, 214020334434431 is an apocalyptic number.

14020334434431 is a deficient number, since it is larger than the sum of its proper divisors (7833752898465).

14020334434431 is a wasteful number, since it uses less digits than its factorization.

14020334434431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112472 (or 112469 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14020334434431 its reverse (13443443302041), we get a palindrome (27463777736472).

The spelling of 14020334434431 in words is "fourteen trillion, twenty billion, three hundred thirty-four million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 733 1483 2199 4449 6597 9529 13347 19279 28587 57837 85761 110237 173511 330711 992133 1087039 1433081 3261117 4299243 9783351 12897729 14131507 42394521 80803721 127183563 163481471 242411163 490444413 727233489 1050448373 1471333239 2125259123 3151345119 6375777369 9454035357 19127332107 119831918243 359495754729 1078487264187 1557814937159 4673444811477 14020334434431