Search a number
-
+
13314042024 = 233619094291
BaseRepresentation
bin11000110011001010…
…00010100010101000
31021100212201102010120
430121211002202220
5204231343321044
610041050043240
7650635330023
oct143145024250
937325642116
1013314042024
11571247a918
1226b6a19520
13134247809a
149043561ba
1552dcd6519
hex3199428a8

13314042024 has 32 divisors (see below), whose sum is σ = 33830766240. Its totient is φ = 4365259200.

The previous prime is 13314041989. The next prime is 13314042029. The reversal of 13314042024 is 42024041331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13314041985 and 13314042003.

It is not an unprimeable number, because it can be changed into a prime (13314042029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4545682 + ... + 4548609.

It is an arithmetic number, because the mean of its divisors is an integer number (1057211445).

Almost surely, 213314042024 is an apocalyptic number.

It is an amenable number.

13314042024 is an abundant number, since it is smaller than the sum of its proper divisors (20516724216).

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

13314042024 is a wasteful number, since it uses less digits than its factorization.

13314042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094361 (or 9094357 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13314042024 its reverse (42024041331), we get a palindrome (55338083355).

The spelling of 13314042024 in words is "thirteen billion, three hundred fourteen million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 9094291 18188582 27282873 36377164 54565746 72754328 109131492 218262984 554751751 1109503502 1664255253 2219007004 3328510506 4438014008 6657021012 13314042024