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4013221441 is a prime number
BaseRepresentation
bin1110111100110100…
…1110011001000001
3101100200120202212011
43233031032121001
531204341041231
61502121132521
7201310551025
oct35715163101
911320522764
104013221441
11177a3a4739
1294002a141
134bc5a0658
142a0dd6385
151874d79b1
hexef34e641

4013221441 has 2 divisors, whose sum is σ = 4013221442. Its totient is φ = 4013221440.

The previous prime is 4013221403. The next prime is 4013221469. The reversal of 4013221441 is 1441223104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3425643841 + 587577600 = 58529^2 + 24240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4013221441 is a prime.

It is a super-2 number, since 2×40132214412 = 32211892669004232962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013221741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006610720 + 2006610721.

It is an arithmetic number, because the mean of its divisors is an integer number (2006610721).

Almost surely, 24013221441 is an apocalyptic number.

It is an amenable number.

4013221441 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013221441 is an equidigital number, since it uses as much as digits as its factorization.

4013221441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4013221441 is about 63349.9916416727. The cubic root of 4013221441 is about 1589.1481059448.

Adding to 4013221441 its reverse (1441223104), we get a palindrome (5454444545).

The spelling of 4013221441 in words is "four billion, thirteen million, two hundred twenty-one thousand, four hundred forty-one".