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13120414443441 = 331178114124753
BaseRepresentation
bin1011111011101101010110…
…1001000110011110110001
31201110022002020112001022000
42332323111221012132301
53204431102044142231
643523234000004213
72522630046442614
oct276732551063661
951408066461260
1013120414443441
1141a93779a5358
12157a9a8300669
137423329a0296
1433506241217b
1517b45ac056e6
hexbeed5a467b1

13120414443441 has 16 divisors (see below), whose sum is σ = 19437820729920. Its totient is φ = 8746866596160.

The previous prime is 13120414443371. The next prime is 13120414443503. The reversal of 13120414443441 is 14434441402131.

13120414443441 is a `hidden beast` number, since 1 + 3 + 1 + 204 + 1 + 4 + 4 + 4 + 3 + 441 = 666.

It is not a de Polignac number, because 13120414443441 - 27 = 13120414443313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13120414443396 and 13120414443405.

It is not an unprimeable number, because it can be changed into a prime (13120414443041) 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, 1118521 + ... + 5243273.

It is an arithmetic number, because the mean of its divisors is an integer number (1214863795620).

Almost surely, 213120414443441 is an apocalyptic number.

It is an amenable number.

13120414443441 is a deficient number, since it is larger than the sum of its proper divisors (6317406286479).

13120414443441 is a wasteful number, since it uses less digits than its factorization.

13120414443441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4242573 (or 4242567 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13120414443441 its reverse (14434441402131), we get a palindrome (27554855845572).

The spelling of 13120414443441 in words is "thirteen trillion, one hundred twenty billion, four hundred fourteen million, four hundred forty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 117811 353433 1060299 3180897 4124753 12374259 37122777 111368331 485941275683 1457823827049 4373471481147 13120414443441