Search a number
-
+
14330329040 = 245179129113
BaseRepresentation
bin11010101100010011…
…10111011111010000
31100222201001010211102
431112021313133100
5213322031012130
610325552403532
71015055533646
oct152611673720
940881033742
1014330329040
116094108345
12293b2465a8
131474b98651
1499d303196
1558d133645
hex3562777d0

14330329040 has 20 divisors (see below), whose sum is σ = 33318015204. Its totient is φ = 5732131584.

The previous prime is 14330329031. The next prime is 14330329121. The reversal of 14330329040 is 4092303341.

It can be written as a sum of positive squares in 2 ways, for example, as 5289361984 + 9040967056 = 72728^2 + 95084^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14330328994 and 14330329012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89564477 + ... + 89564636.

Almost surely, 214330329040 is an apocalyptic number.

14330329040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14330329040 is an abundant number, since it is smaller than the sum of its proper divisors (18987686164).

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

14330329040 is a wasteful number, since it uses less digits than its factorization.

14330329040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179129126 (or 179129120 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 14330329040 in words is "fourteen billion, three hundred thirty million, three hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179129113 358258226 716516452 895645565 1433032904 1791291130 2866065808 3582582260 7165164520 14330329040