Search a number
-
+
441432104132141 is a prime number
BaseRepresentation
bin110010001011110101110101…
…1110000100101111000101101
32010212222111102022202210222022
41210113223223300211320231
5430324410422124212031
64202503035320555525
7161660263024202123
oct14427535360457055
92125874368683868
10441432104132141
11118721338742671
12416145ba622ba5
1315c40b3a9bb075
147b015dbdbb913
1536079de6b597b
hex1917aebc25e2d

441432104132141 has 2 divisors, whose sum is σ = 441432104132142. Its totient is φ = 441432104132140.

The previous prime is 441432104132093. The next prime is 441432104132167. The reversal of 441432104132141 is 141231401234144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 406926125208100 + 34505978924041 = 20172410^2 + 5874179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441432104132141 is a prime.

It is a super-3 number, since 3×4414321041321413 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (441432104131141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220716052066070 + 220716052066071.

It is an arithmetic number, because the mean of its divisors is an integer number (220716052066071).

Almost surely, 2441432104132141 is an apocalyptic number.

It is an amenable number.

441432104132141 is a deficient number, since it is larger than the sum of its proper divisors (1).

441432104132141 is an equidigital number, since it uses as much as digits as its factorization.

441432104132141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 441432104132141 its reverse (141231401234144), we get a palindrome (582663505366285).

The spelling of 441432104132141 in words is "four hundred forty-one trillion, four hundred thirty-two billion, one hundred four million, one hundred thirty-two thousand, one hundred forty-one".