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14141353000 = 235314141353
BaseRepresentation
bin11010010101110001…
…11110110000101000
31100111112110011102211
431022320332300220
5212430141244000
610255122134504
71010302342255
oct151270766050
940445404384
1014141353000
115aa74748a5
1228a7ab1434
1314449a0cc8
1498219042c
1557b7557ba
hex34ae3ec28

14141353000 has 32 divisors (see below), whose sum is σ = 33090768360. Its totient is φ = 5656540800.

The previous prime is 14141352937. The next prime is 14141353007. The reversal of 14141353000 is 35314141.

14141353000 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 4 ways, for example, as 1823460804 + 12317892196 = 42702^2 + 110986^2 .

It is not an unprimeable number, because it can be changed into a prime (14141353007) 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 7 ways as a sum of consecutive naturals, for example, 7069677 + ... + 7071676.

Almost surely, 214141353000 is an apocalyptic number.

14141353000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141353000 is an abundant number, since it is smaller than the sum of its proper divisors (18949415360).

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

14141353000 is a wasteful number, since it uses less digits than its factorization.

14141353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14141374 (or 14141360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 14141353000 its reverse (35314141), we get a palindrome (14176667141).

The spelling of 14141353000 in words is "fourteen billion, one hundred forty-one million, three hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 14141353 28282706 56565412 70706765 113130824 141413530 282827060 353533825 565654120 707067650 1414135300 1767669125 2828270600 3535338250 7070676500 14141353000