Search a number
-
+
12014333432041 = 257180749258637
BaseRepresentation
bin1010111011010100111000…
…0100111001000011101001
31120112120002112221220010211
42232311032010321003221
53033320323324311131
641315150353141121
72350002245122063
oct256651604710351
946476075856124
1012014333432041
113912283011506
12142055bb5a7a1
13691c40103715
142d76d548c733
1515c7c14685b1
hexaed4e1390e9

12014333432041 has 8 divisors (see below), whose sum is σ = 12061195173000. Its totient is φ = 11967472570368.

The previous prime is 12014333432029. The next prime is 12014333432047. The reversal of 12014333432041 is 14023433341021.

12014333432041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7013116836441 + 5001216595600 = 2648229^2 + 2236340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12014333432041 - 225 = 12014299877609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12014333431994 and 12014333432012.

It is not an unprimeable number, because it can be changed into a prime (12014333432047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46323175 + ... + 46581811.

It is an arithmetic number, because the mean of its divisors is an integer number (1507649396625).

Almost surely, 212014333432041 is an apocalyptic number.

It is an amenable number.

12014333432041 is a deficient number, since it is larger than the sum of its proper divisors (46861740959).

12014333432041 is a wasteful number, since it uses less digits than its factorization.

12014333432041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439643.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 12014333432041 its reverse (14023433341021), we get a palindrome (26037766773062).

The spelling of 12014333432041 in words is "twelve trillion, fourteen billion, three hundred thirty-three million, four hundred thirty-two thousand, forty-one".

Divisors: 1 257 180749 258637 46452493 66469709 46748379113 12014333432041