Search a number
-
+
441401103424081 is a prime number
BaseRepresentation
bin110010001011100111011001…
…1111110010001101001010001
32010212212112101211110200012201
41210113032303332101221101
5430323403424434032311
64202440511220123201
7161655114553423063
oct14427166376215121
92125775354420181
10441401103424081
1111870a17a641889
124160a5a8536501
1315c3ac3a1cb728
147addcdaabd733
153606cc7cba9c1
hex19173b3f91a51

441401103424081 has 2 divisors, whose sum is σ = 441401103424082. Its totient is φ = 441401103424080.

The previous prime is 441401103424063. The next prime is 441401103424087. The reversal of 441401103424081 is 180424301104144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257320899500625 + 184080203923456 = 16041225^2 + 13567616^2 .

It is a cyclic number.

It is not a de Polignac number, because 441401103424081 - 211 = 441401103422033 is a prime.

It is a super-2 number, since 2×4414011034240812 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 441401103424081.

It is not a weakly prime, because it can be changed into another prime (441401103424087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220700551712040 + 220700551712041.

It is an arithmetic number, because the mean of its divisors is an integer number (220700551712041).

Almost surely, 2441401103424081 is an apocalyptic number.

It is an amenable number.

441401103424081 is a deficient number, since it is larger than the sum of its proper divisors (1).

441401103424081 is an equidigital number, since it uses as much as digits as its factorization.

441401103424081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 441401103424081 in words is "four hundred forty-one trillion, four hundred one billion, one hundred three million, four hundred twenty-four thousand, eighty-one".