Search a number
-
+
401241322145441 is a prime number
BaseRepresentation
bin101101100111011010100011…
…0011110011100011010100001
31221121200021222121212201012102
41123032311012132130122201
5410042414211432123231
63541211415124340145
7150341505003032531
oct13316650636343241
91847607877781172
10401241322145441
11106936542014208
123900330ab44655
13142b6b81aa7a9b
14711227db874c1
15315c31a917acb
hex16ced4679c6a1

401241322145441 has 2 divisors, whose sum is σ = 401241322145442. Its totient is φ = 401241322145440.

The previous prime is 401241322145437. The next prime is 401241322145479. The reversal of 401241322145441 is 144541223142104.

It is a happy number.

It is an a-pointer prime, because the next prime (401241322145479) can be obtained adding 401241322145441 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386201693560225 + 15039628585216 = 19652015^2 + 3878096^2 .

It is a cyclic number.

It is not a de Polignac number, because 401241322145441 - 22 = 401241322145437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 401241322145395 and 401241322145404.

It is not a weakly prime, because it can be changed into another prime (401241322145141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200620661072720 + 200620661072721.

It is an arithmetic number, because the mean of its divisors is an integer number (200620661072721).

Almost surely, 2401241322145441 is an apocalyptic number.

It is an amenable number.

401241322145441 is a deficient number, since it is larger than the sum of its proper divisors (1).

401241322145441 is an equidigital number, since it uses as much as digits as its factorization.

401241322145441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122880, while the sum is 38.

Adding to 401241322145441 its reverse (144541223142104), we get a palindrome (545782545287545).

The spelling of 401241322145441 in words is "four hundred one trillion, two hundred forty-one billion, three hundred twenty-two million, one hundred forty-five thousand, four hundred forty-one".