Search a number
-
+
13440112014 = 237760342089
BaseRepresentation
bin11001000010001011…
…11101010110001110
31021200122221102122110
430201011331112032
5210011132041024
610101352124450
7654026032020
oct144105752616
937618842573
1013440112014
11577765809a
122731096726
131362618b04
14916db2010
15539dda629
hex32117d58e

13440112014 has 32 divisors (see below), whose sum is σ = 30725026560. Its totient is φ = 3839435712.

The previous prime is 13440112009. The next prime is 13440112073. The reversal of 13440112014 is 41021104431.

13440112014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134401120142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 298282 + ... + 340370.

It is an arithmetic number, because the mean of its divisors is an integer number (960157080).

Almost surely, 213440112014 is an apocalyptic number.

13440112014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13440112014 is an abundant number, since it is smaller than the sum of its proper divisors (17284914546).

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

13440112014 is a wasteful number, since it uses less digits than its factorization.

13440112014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49704.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13440112014 its reverse (41021104431), we get a palindrome (54461216445).

The spelling of 13440112014 in words is "thirteen billion, four hundred forty million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 7603 15206 22809 42089 45618 53221 84178 106442 126267 159663 252534 294623 319326 589246 883869 1767738 320002667 640005334 960008001 1920016002 2240018669 4480037338 6720056007 13440112014