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14434420213431 = 332383318770393
BaseRepresentation
bin1101001000001100011001…
…1111010100011010110111
31220002220202120012100001000
43102003012133110122313
53342443143033312211
650411025303534343
73016565250264051
oct322030637243267
956086676170030
1014434420213431
11466566a9a6869
1217515a215a3b3
1380921064698a
1437c8b5b368d1
151a07144ed656
hexd20c67d46b7

14434420213431 has 32 divisors (see below), whose sum is σ = 21400316625920. Its totient is φ = 9615753870912.

The previous prime is 14434420213429. The next prime is 14434420213457. The reversal of 14434420213431 is 13431202443441.

14434420213431 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 4 + 4 + 2 + 0 + 213 + 431 = 666.

It is not a de Polignac number, because 14434420213431 - 21 = 14434420213429 is a prime.

It is a super-2 number, since 2×144344202134312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434420253431) 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 31 ways as a sum of consecutive naturals, for example, 205019571 + ... + 205089963.

It is an arithmetic number, because the mean of its divisors is an integer number (668759894560).

Almost surely, 214434420213431 is an apocalyptic number.

14434420213431 is a deficient number, since it is larger than the sum of its proper divisors (6965896412489).

14434420213431 is a wasteful number, since it uses less digits than its factorization.

14434420213431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75972 (or 75966 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14434420213431 its reverse (13431202443441), we get a palindrome (27865622656872).

The spelling of 14434420213431 in words is "fourteen trillion, four hundred thirty-four billion, four hundred twenty million, two hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 2383 3187 7149 9561 21447 28683 64341 70393 86049 211179 633537 1900611 7594621 22783863 68351589 167746519 205054767 224342491 503239557 673027473 1509718671 2019082419 4529156013 6057247257 534608156053 1603824468159 4811473404477 14434420213431