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13314325409 = 7111376192039
BaseRepresentation
bin11000110011001100…
…00111101110100001
31021100220020210212022
430121212013232201
5204231431403114
610041100111225
7650640620150
oct143146075641
937326223768
1013314325409
115712653820
1226b6b35515
131342547078
149043cb597
1552dd4048e
hex319987ba1

13314325409 has 32 divisors (see below), whose sum is σ = 16756070400. Its totient is φ = 10277389440.

The previous prime is 13314325357. The next prime is 13314325417. The reversal of 13314325409 is 90452341331.

13314325409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13314325409 - 232 = 9019358113 is a prime.

It is a super-2 number, since 2×133143254092 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13314325499) 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 31 ways as a sum of consecutive naturals, for example, 6528812 + ... + 6530850.

It is an arithmetic number, because the mean of its divisors is an integer number (523627200).

Almost surely, 213314325409 is an apocalyptic number.

It is an amenable number.

13314325409 is a deficient number, since it is larger than the sum of its proper divisors (3441744991).

13314325409 is a wasteful number, since it uses less digits than its factorization.

13314325409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 13314325409 in words is "thirteen billion, three hundred fourteen million, three hundred twenty-five thousand, four hundred nine".

Divisors: 1 7 11 77 137 619 959 1507 2039 4333 6809 10549 14273 22429 47663 84803 157003 279343 593621 932833 1262141 1955401 3072773 6529831 8834987 13883551 21509411 97184857 172913317 1210393219 1902046487 13314325409