Search a number
-
+
13311141456 = 2431132454119
BaseRepresentation
bin11000110010110011…
…11110011001010000
31021100200021001022010
430121121332121100
5204230123011311
610040503542520
7650601556404
oct143131763120
937320231263
1013311141456
115710879658
1226b5a5aa40
1313419a0a82
14903bdd104
1552d911da6
hex31967e650

13311141456 has 40 divisors (see below), whose sum is σ = 34691440320. Its totient is φ = 4397779456.

The previous prime is 13311141439. The next prime is 13311141461. The reversal of 13311141456 is 65414111331.

13311141456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1221636 + ... + 1232483.

It is an arithmetic number, because the mean of its divisors is an integer number (867286008).

Almost surely, 213311141456 is an apocalyptic number.

13311141456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13311141456 is an abundant number, since it is smaller than the sum of its proper divisors (21380298864).

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

13311141456 is a wasteful number, since it uses less digits than its factorization.

13311141456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454243 (or 2454237 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

Adding to 13311141456 its reverse (65414111331), we get a palindrome (78725252787).

The spelling of 13311141456 in words is "thirteen billion, three hundred eleven million, one hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 2454119 4908238 7362357 9816476 14724714 19632952 29449428 39265904 58898856 117797712 277315447 554630894 831946341 1109261788 1663892682 2218523576 3327785364 4437047152 6655570728 13311141456