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441311442401 is a prime number
BaseRepresentation
bin1100110110000000011…
…01100011010111100001
31120012002202100002021002
412123000031203113201
524212301212124101
6534422523441345
743612052240024
oct6330015432741
91505082302232
10441311442401
11160182893535
1271642386255
1332800303b0b
14175069cd1bb
15b72d5d0d6b
hex66c03635e1

441311442401 has 2 divisors, whose sum is σ = 441311442402. Its totient is φ = 441311442400.

The previous prime is 441311442371. The next prime is 441311442457. The reversal of 441311442401 is 104244113144.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 347953695376 + 93357747025 = 589876^2 + 305545^2 .

It is a cyclic number.

It is not a de Polignac number, because 441311442401 - 26 = 441311442337 is a prime.

It is a super-2 number, since 2×4413114424012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (441311442491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220655721200 + 220655721201.

It is an arithmetic number, because the mean of its divisors is an integer number (220655721201).

Almost surely, 2441311442401 is an apocalyptic number.

It is an amenable number.

441311442401 is a deficient number, since it is larger than the sum of its proper divisors (1).

441311442401 is an equidigital number, since it uses as much as digits as its factorization.

441311442401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 441311442401 its reverse (104244113144), we get a palindrome (545555555545).

The spelling of 441311442401 in words is "four hundred forty-one billion, three hundred eleven million, four hundred forty-two thousand, four hundred one".