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14432021840 = 245180400273
BaseRepresentation
bin11010111000011011…
…10010110101010000
31101020210101200010102
431130031302311100
5214024044144330
610344024151532
71020432106265
oct153415626520
941223350112
1014432021840
116136555685
1229693085a8
13148cc827c2
149aca1526c
1559701e945
hex35c372d50

14432021840 has 20 divisors (see below), whose sum is σ = 33554450964. Its totient is φ = 5772808704.

The previous prime is 14432021819. The next prime is 14432021867. The reversal of 14432021840 is 4812023441.

14432021840 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 8849541184 + 5582480656 = 94072^2 + 74716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 90200057 + ... + 90200216.

Almost surely, 214432021840 is an apocalyptic number.

14432021840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14432021840 is an abundant number, since it is smaller than the sum of its proper divisors (19122429124).

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

14432021840 is a wasteful number, since it uses less digits than its factorization.

14432021840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180400286 (or 180400280 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 14432021840 in words is "fourteen billion, four hundred thirty-two million, twenty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 180400273 360800546 721601092 902001365 1443202184 1804002730 2886404368 3608005460 7216010920 14432021840