Search a number
-
+
3412862682143 = 417313727130713
BaseRepresentation
bin110001101010011110011…
…101111100010000011111
3110002021012021020121012212
4301222132131330100133
5421404020321312033
611131503015351035
7501366630103115
oct61523635742037
913067167217185
103412862682143
1110a64290135a2
1247152898247b
131b9aa6c61665
14bb27d4bbab5
155db9a4b7748
hex31a9e77c41f

3412862682143 has 32 divisors (see below), whose sum is σ = 3583153228032. Its totient is φ = 3247904563200.

The previous prime is 3412862682139. The next prime is 3412862682157.

3412862682143 is nontrivially palindromic in base 10.

3412862682143 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3412862682143 - 22 = 3412862682139 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3412862682091 and 3412862682100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412862682193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111105755 + ... + 111136467.

It is an arithmetic number, because the mean of its divisors is an integer number (111973538376).

Almost surely, 23412862682143 is an apocalyptic number.

3412862682143 is a deficient number, since it is larger than the sum of its proper divisors (170290545889).

3412862682143 is a wasteful number, since it uses less digits than its factorization.

3412862682143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31235.

The product of its digits is 2654208, while the sum is 50.

The spelling of 3412862682143 in words is "three trillion, four hundred twelve billion, eight hundred sixty-two million, six hundred eighty-two thousand, one hundred forty-three".

Divisors: 1 41 73 137 271 2993 5617 10001 11111 19783 30713 37127 410041 811103 1259233 1522207 2242049 2710271 4207681 8323223 91924009 111121111 172514921 307160713 341252143 607595279 1140281551 12593589233 24911406439 46751543591 83240553223 3412862682143