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14002142024 = 2313134635981
BaseRepresentation
bin11010000101001011…
…11011101101001000
31100010211111111212202
431002211323231020
5212134022021044
610233230255332
71003662146333
oct150245735510
940124444782
1014002142024
115a35931602
122869357548
131421babb50
1496b8b361a
1556e407c4e
hex34297bb48

14002142024 has 16 divisors (see below), whose sum is σ = 28273556220. Its totient is φ = 6462527040.

The previous prime is 14002142023. The next prime is 14002142039. The reversal of 14002142024 is 42024120041.

14002142024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13999149124 + 2992900 = 118318^2 + 1730^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14002141987 and 14002142005.

It is not an unprimeable number, because it can be changed into a prime (14002142023) 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 3 ways as a sum of consecutive naturals, for example, 67317887 + ... + 67318094.

Almost surely, 214002142024 is an apocalyptic number.

It is an amenable number.

14002142024 is an abundant number, since it is smaller than the sum of its proper divisors (14271414196).

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

14002142024 is a wasteful number, since it uses less digits than its factorization.

14002142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134636000 (or 134635996 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14002142024 its reverse (42024120041), we get a palindrome (56026262065).

The spelling of 14002142024 in words is "fourteen billion, two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 134635981 269271962 538543924 1077087848 1750267753 3500535506 7001071012 14002142024