Search a number
-
+
3901144411093 is a prime number
BaseRepresentation
bin111000110001001110010…
…100111010101111010101
3111210221112110110110120111
4320301032110322233111
51002404020432123333
612144054435403021
7551563665240106
oct70611624725725
914727473413514
103901144411093
111274514354566
12530099453471
13223b51419227
14d6b6029c3ad
156b72747a4cd
hex38c4e53abd5

3901144411093 has 2 divisors, whose sum is σ = 3901144411094. Its totient is φ = 3901144411092.

The previous prime is 3901144411091. The next prime is 3901144411111.

3901144411093 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., 2202665603044 + 1698478808049 = 1484138^2 + 1303257^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3901144411093 - 21 = 3901144411091 is a prime.

Together with 3901144411091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3901144411091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1950572205546 + 1950572205547.

It is an arithmetic number, because the mean of its divisors is an integer number (1950572205547).

Almost surely, 23901144411093 is an apocalyptic number.

It is an amenable number.

3901144411093 is a deficient number, since it is larger than the sum of its proper divisors (1).

3901144411093 is an equidigital number, since it uses as much as digits as its factorization.

3901144411093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 3901144411093 in words is "three trillion, nine hundred one billion, one hundred forty-four million, four hundred eleven thousand, ninety-three".