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13104442403145 = 385864146229
BaseRepresentation
bin1011111010110001110110…
…1000100110100101001001
31201101202212010022100000000
42332230131220212211021
53204200344223400040
643512033035433213
72521523204362512
oct276543550464511
951352763270000
1013104442403145
1141a2621117055
12157788b2b5809
13740988956472
1433438907ba09
1517ad238d4130
hexbeb1da26949

13104442403145 has 72 divisors (see below), whose sum is σ = 23590037844360. Its totient is φ = 6988075960320.

The previous prime is 13104442403131. The next prime is 13104442403149. The reversal of 13104442403145 is 54130424440131.

It is a happy number.

13104442403145 is a `hidden beast` number, since 1 + 3 + 104 + 4 + 4 + 2 + 403 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1951854879744 + 11152587523401 = 1397088^2 + 3339549^2 .

It is not a de Polignac number, because 13104442403145 - 29 = 13104442402633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13104442403149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 283444891 + ... + 283491119.

It is an arithmetic number, because the mean of its divisors is an integer number (327639414505).

Almost surely, 213104442403145 is an apocalyptic number.

13104442403145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13104442403145 is a deficient number, since it is larger than the sum of its proper divisors (10485595441215).

13104442403145 is an frugal number, since it uses more digits than its factorization.

13104442403145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54899 (or 54878 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13104442403145 its reverse (54130424440131), we get a palindrome (67234866843276).

The spelling of 13104442403145 in words is "thirteen trillion, one hundred four billion, four hundred forty-two million, four hundred three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 6561 8641 10935 25923 32805 43205 46229 77769 129615 138687 231145 233307 388845 416061 693435 699921 1166535 1248183 2080305 2099763 3499605 3744549 6240915 6299289 10498815 11233647 18722745 18897867 31496445 33700941 56168235 56693601 94489335 101102823 168504705 283468005 303308469 399464789 505514115 1198394367 1516542345 1997323945 3595183101 5991971835 10785549303 17975915505 32356647909 53927746515 97069943727 161783239545 291209831181 485349718635 873629493543 1456049155905 2620888480629 4368147467715 13104442403145