Search a number
-
+
344312141213443 = 13461112351159737
BaseRepresentation
bin100111001001001100110101…
…0110111100110111100000011
31200011002220211010022212121211
41032102121222313212330003
5330112202231122312233
63220142451500030551
7132344505556222204
oct11622315267467403
91604086733285554
10344312141213443
119a787a60574857
1232749bbb532457
1311a17659aa1b70
146104b21a4d5ab
1529c1537a5b5cd
hex139266ade6f03

344312141213443 has 16 divisors (see below), whose sum is σ = 371932932371616. Its totient is φ = 316854755331840.

The previous prime is 344312141213437. The next prime is 344312141213471.

344312141213443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344312141213443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 344312141213396 and 344312141213405.

It is not an unprimeable number, because it can be changed into a prime (344312181213443) 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, 18849730 + ... + 32310007.

It is an arithmetic number, because the mean of its divisors is an integer number (23245808273226).

Almost surely, 2344312141213443 is an apocalyptic number.

344312141213443 is a deficient number, since it is larger than the sum of its proper divisors (27620791158173).

344312141213443 is a wasteful number, since it uses less digits than its factorization.

344312141213443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51161334.

The product of its digits is 331776, while the sum is 40.

The spelling of 344312141213443 in words is "three hundred forty-four trillion, three hundred twelve billion, one hundred forty-one million, two hundred thirteen thousand, four hundred forty-three".

Divisors: 1 13 461 1123 5993 14599 517703 6730139 51159737 665076581 23584638757 57452384651 306600303841 746881000463 26485549324111 344312141213443