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14144566425 = 3521141418169
BaseRepresentation
bin11010010110001010…
…01111010010011001
31100111202111102102120
431023011033102121
5212432002111200
610255315051453
71010341554663
oct151305172231
940452442376
1014144566425
115aa926a120
1228a8ba0b89
131445557842
14982789533
1557bb8c9a0
hex34b14f499

14144566425 has 48 divisors (see below), whose sum is σ = 26133952320. Its totient is φ = 6690688000.

The previous prime is 14144566417. The next prime is 14144566463. The reversal of 14144566425 is 52466544141.

It is a happy number.

14144566425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14144566425 - 23 = 14144566417 is a prime.

It is an unprimeable number.

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, 175260 + ... + 242909.

It is an arithmetic number, because the mean of its divisors is an integer number (544457340).

Almost surely, 214144566425 is an apocalyptic number.

14144566425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14144566425 is a deficient number, since it is larger than the sum of its proper divisors (11989385895).

14144566425 is a wasteful number, since it uses less digits than its factorization.

14144566425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418234 (or 418229 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 14144566425 in words is "fourteen billion, one hundred forty-four million, five hundred sixty-six thousand, four hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 41 55 75 123 165 205 275 451 615 825 1025 1353 2255 3075 6765 11275 33825 418169 1254507 2090845 4599859 6272535 10454225 13799577 17144929 22999295 31362675 51434787 68997885 85724645 114996475 188594219 257173935 344989425 428623225 565782657 942971095 1285869675 2828913285 4714855475 14144566425