Search a number
-
+
13441411031540 = 22510117957370561
BaseRepresentation
bin1100001110011001001010…
…0001111010000111110100
31202120222122001020021011012
43003212102201322013310
53230211002211002130
644330522102531352
72555052460432652
oct303462241720764
952528561207135
1013441411031540
11431251a123aa8
121611051436b58
1376669a7ba9cb
143467d3d39dd2
1518499688a995
hexc399287a1f4

13441411031540 has 48 divisors (see below), whose sum is σ = 28508102464464. Its totient is φ = 5323020288000.

The previous prime is 13441411031539. The next prime is 13441411031561. The reversal of 13441411031540 is 4513011414431.

It can be written as a sum of positive squares in 8 ways, for example, as 3320944943716 + 10120466087824 = 1822346^2 + 3181268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13441411031497 and 13441411031506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36087860 + ... + 36458420.

It is an arithmetic number, because the mean of its divisors is an integer number (593918801343).

Almost surely, 213441411031540 is an apocalyptic number.

13441411031540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13441411031540 is an abundant number, since it is smaller than the sum of its proper divisors (15066691432924).

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

13441411031540 is a wasteful number, since it uses less digits than its factorization.

13441411031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388628 (or 388626 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 13441411031540 its reverse (4513011414431), we get a palindrome (17954422445971).

The spelling of 13441411031540 in words is "thirteen trillion, four hundred forty-one billion, four hundred eleven million, thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 17957 35914 71828 89785 179570 359140 370561 741122 1482244 1813657 1852805 3627314 3705610 7254628 7411220 9068285 18136570 36273140 37426661 74853322 149706644 187133305 374266610 748533220 6654163877 13308327754 26616655508 33270819385 66541638770 133083277540 672070551577 1344141103154 2688282206308 3360352757885 6720705515770 13441411031540