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14123431212 = 223112411311811
BaseRepresentation
bin11010010011101001…
…00111010100101100
31100110021201122100220
431021310213110230
5212411044244322
610253242051340
71006664120202
oct151164472454
940407648326
1014123431212
115a98343a00
1228a1aa9b50
1314410677b7
1497da47072
15579db555c
hex349d2752c

14123431212 has 144 divisors (see below), whose sum is σ = 37410291072. Its totient is φ = 4141280000.

The previous prime is 14123431211. The next prime is 14123431247. The reversal of 14123431212 is 21213432141.

14123431212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14123431211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7797787 + ... + 7799597.

It is an arithmetic number, because the mean of its divisors is an integer number (259793688).

Almost surely, 214123431212 is an apocalyptic number.

14123431212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705145536).

14123431212 is an abundant number, since it is smaller than the sum of its proper divisors (23286859860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14123431212 is a wasteful number, since it uses less digits than its factorization.

14123431212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1999 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14123431212 its reverse (21213432141), we get a palindrome (35336863353).

The spelling of 14123431212 in words is "fourteen billion, one hundred twenty-three million, four hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 121 123 131 132 164 242 246 262 363 393 451 484 492 524 726 786 902 1353 1441 1452 1572 1804 1811 2706 2882 3622 4323 4961 5371 5412 5433 5764 7244 8646 9922 10742 10866 14883 15851 16113 17292 19844 19921 21484 21732 29766 31702 32226 39842 47553 59081 59532 59763 63404 64452 74251 79684 95106 118162 119526 148502 177243 190212 219131 222753 236324 237241 239052 297004 354486 438262 445506 474482 649891 657393 708972 711723 816761 876524 891012 948964 1299782 1314786 1423446 1633522 1949673 2450283 2599564 2609651 2629572 2846892 3267044 3899346 4900566 5219302 7798692 7828953 8984371 9726881 9801132 10438604 15657906 17968742 19453762 26953113 28706161 29180643 31315812 35937484 38907524 53906226 57412322 58361286 86118483 106995691 107812452 114824644 116722572 172236966 213991382 320987073 344473932 427982764 641974146 1176952601 1283948292 2353905202 3530857803 4707810404 7061715606 14123431212