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14142053424 = 24323103912329
BaseRepresentation
bin11010010101110111…
…01001110000110000
31100111120202202020110
431022323221300300
5212430331202144
610255145141320
71010311320312
oct151273516060
940446682213
1014142053424
115aa7903064
1228a818a840
131444b87a65
149822d37b2
1557b8430b9
hex34aee9c30

14142053424 has 80 divisors (see below), whose sum is σ = 38161843200. Its totient is φ = 4504355328.

The previous prime is 14142053423. The next prime is 14142053461. The reversal of 14142053424 is 42435024141.

14142053424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14142053391 and 14142053400.

It is not an unprimeable number, because it can be changed into a prime (14142053423) 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, 1140892 + ... + 1153220.

It is an arithmetic number, because the mean of its divisors is an integer number (477023040).

Almost surely, 214142053424 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 14142053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19080921600).

14142053424 is an abundant number, since it is smaller than the sum of its proper divisors (24019789776).

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

14142053424 is a wasteful number, since it uses less digits than its factorization.

14142053424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13402 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14142053424 its reverse (42435024141), we get a palindrome (56577077565).

The spelling of 14142053424 in words is "fourteen billion, one hundred forty-two million, fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1039 1104 2078 3117 4156 6234 8312 12329 12468 16624 23897 24658 24936 36987 47794 49316 49872 71691 73974 95588 98632 143382 147948 191176 197264 283567 286764 295896 382352 567134 573528 591792 850701 1134268 1147056 1701402 2268536 3402804 4537072 6805608 12809831 13611216 25619662 38429493 51239324 76858986 102478648 153717972 204957296 294626113 307435944 589252226 614871888 883878339 1178504452 1767756678 2357008904 3535513356 4714017808 7071026712 14142053424