Search a number
-
+
1441314131441 is a prime number
BaseRepresentation
bin10100111110010101000…
…001000100110111110001
312002210021122211010102012
4110332111001010313301
5142103302404201231
63022044111532305
7206063051655602
oct24762501046761
95083248733365
101441314131441
11506292285778
121b340522a095
13a5bb90015b2
144da8d535da9
152775a1c8e2b
hex14f95044df1

1441314131441 has 2 divisors, whose sum is σ = 1441314131442. Its totient is φ = 1441314131440.

The previous prime is 1441314131437. The next prime is 1441314131479.

1441314131441 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1006954047841 + 434360083600 = 1003471^2 + 659060^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 1441314131441 - 22 = 1441314131437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1441314131398 and 1441314131407.

It is not a weakly prime, because it can be changed into another prime (1441314136441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 720657065720 + 720657065721.

It is an arithmetic number, because the mean of its divisors is an integer number (720657065721).

Almost surely, 21441314131441 is an apocalyptic number.

It is an amenable number.

1441314131441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1441314131441 is an equidigital number, since it uses as much as digits as its factorization.

1441314131441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 32.

The spelling of 1441314131441 in words is "one trillion, four hundred forty-one billion, three hundred fourteen million, one hundred thirty-one thousand, four hundred forty-one".