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14124124112 = 247416194969
BaseRepresentation
bin11010010011101110…
…10000011111010000
31100110100000211211212
431021313100133100
5212411233432422
610253304555252
71010003034260
oct151167203720
940410024755
1014124124112
115a9877754a
1228a2182b28
13144124acb7
1497db877a0
15579ea09e2
hex349dd07d0

14124124112 has 80 divisors (see below), whose sum is σ = 32095862400. Its totient is φ = 5894830080.

The previous prime is 14124124111. The next prime is 14124124121. The reversal of 14124124112 is 21142142141.

14124124112 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124124111) 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 15 ways as a sum of consecutive naturals, for example, 2839964 + ... + 2844932.

It is an arithmetic number, because the mean of its divisors is an integer number (401198280).

Almost surely, 214124124112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14124124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16047931200).

14124124112 is an abundant number, since it is smaller than the sum of its proper divisors (17971738288).

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

14124124112 is a wasteful number, since it uses less digits than its factorization.

14124124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5638 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

Adding to 14124124112 its reverse (21142142141), we get a palindrome (35266266253).

The spelling of 14124124112 in words is "fourteen billion, one hundred twenty-four million, one hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 619 656 1148 1238 2296 2476 4333 4592 4952 4969 8666 9904 9938 17332 19876 25379 34664 34783 39752 50758 69328 69566 79504 101516 139132 177653 203032 203729 278264 355306 406064 407458 556528 710612 814916 1421224 1426103 1629832 2842448 2852206 3075811 3259664 5704412 6151622 11408824 12303244 21530677 22817648 24606488 43061354 49212976 86122708 126108251 172245416 252216502 344490832 504433004 882757757 1008866008 1765515514 2017732016 3531031028 7062062056 14124124112