Search a number
-
+
13311423424 = 2613413171231
BaseRepresentation
bin11000110010110110…
…00011001111000000
31021100200210101002101
430121123003033000
5204230211022144
610040514000144
7650604142435
oct143133031700
937320711071
1013311423424
115710a51492
1226b5b76054
131341a6c210
14903c73b8c
1552d96a6d4
hex3196c33c0

13311423424 has 112 divisors (see below), whose sum is σ = 29256264576. Its totient is φ = 5970124800.

The previous prime is 13311423421. The next prime is 13311423431. The reversal of 13311423424 is 42432411331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13311423392 and 13311423401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311423421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10812889 + ... + 10814119.

It is an arithmetic number, because the mean of its divisors is an integer number (261216648).

Almost surely, 213311423424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14628132288).

13311423424 is an abundant number, since it is smaller than the sum of its proper divisors (15944841152).

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

13311423424 is a wasteful number, since it uses less digits than its factorization.

13311423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1604 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 13311423424 its reverse (42432411331), we get a palindrome (55743834755).

The spelling of 13311423424 in words is "thirteen billion, three hundred eleven million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 317 328 416 533 634 656 832 1066 1231 1268 1312 2132 2462 2536 2624 4121 4264 4924 5072 8242 8528 9848 10144 12997 16003 16484 17056 19696 20288 25994 32006 32968 34112 39392 50471 51988 64012 65936 78784 100942 103976 128024 131872 168961 201884 207952 256048 263744 337922 390227 403768 415904 512096 656123 675844 780454 807536 831808 1024192 1312246 1351688 1560908 1615072 2624492 2703376 3121816 3230144 5072951 5248984 5406752 6243632 10145902 10497968 10813504 12487264 15999307 20291804 20995936 24974528 31998614 40583608 41991872 63997228 81167216 127994456 162334432 207990991 255988912 324668864 415981982 511977824 831963964 1023955648 1663927928 3327855856 6655711712 13311423424