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414241423441 is a prime number
BaseRepresentation
bin1100000011100101011…
…01101000000001010001
31110121020012022122021021
412001302231220001101
523241331301022231
6514144435155441
741633201000656
oct6016255500121
91417205278237
10414241423441
1114a75153663a
1268348745b81
13300a7c78c11
1416099761c2d
15ab96d19811
hex6072b68051

414241423441 has 2 divisors, whose sum is σ = 414241423442. Its totient is φ = 414241423440.

The previous prime is 414241423417. The next prime is 414241423457. The reversal of 414241423441 is 144324142414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 373560550416 + 40680873025 = 611196^2 + 201695^2 .

It is a cyclic number.

It is not a de Polignac number, because 414241423441 - 213 = 414241415249 is a prime.

It is a super-3 number, since 3×4142414234413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414241423397 and 414241423406.

It is not a weakly prime, because it can be changed into another prime (414241823441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207120711720 + 207120711721.

It is an arithmetic number, because the mean of its divisors is an integer number (207120711721).

Almost surely, 2414241423441 is an apocalyptic number.

It is an amenable number.

414241423441 is a deficient number, since it is larger than the sum of its proper divisors (1).

414241423441 is an equidigital number, since it uses as much as digits as its factorization.

414241423441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 34.

Adding to 414241423441 its reverse (144324142414), we get a palindrome (558565565855).

The spelling of 414241423441 in words is "four hundred fourteen billion, two hundred forty-one million, four hundred twenty-three thousand, four hundred forty-one".