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7144401361 is a prime number
BaseRepresentation
bin1101010011101011…
…01110100111010001
3200102220110012012211
412221311232213101
5104112431320421
63140533152121
7342021260326
oct65165564721
920386405184
107144401361
113036912539
12147478b641
1389b1c4736
144babc8b4d
152bc33e9e1
hex1a9d6e9d1

7144401361 has 2 divisors, whose sum is σ = 7144401362. Its totient is φ = 7144401360.

The previous prime is 7144401359. The next prime is 7144401371. The reversal of 7144401361 is 1631044417.

7144401361 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3636090000 + 3508311361 = 60300^2 + 59231^2 .

It is a cyclic number.

It is not a de Polignac number, because 7144401361 - 21 = 7144401359 is a prime.

Together with 7144401359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (7144401371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3572200680 + 3572200681.

It is an arithmetic number, because the mean of its divisors is an integer number (3572200681).

Almost surely, 27144401361 is an apocalyptic number.

It is an amenable number.

7144401361 is a deficient number, since it is larger than the sum of its proper divisors (1).

7144401361 is an equidigital number, since it uses as much as digits as its factorization.

7144401361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 7144401361 is about 84524.5606968767. The cubic root of 7144401361 is about 1925.9955595603.

Adding to 7144401361 its reverse (1631044417), we get a palindrome (8775445778).

The spelling of 7144401361 in words is "seven billion, one hundred forty-four million, four hundred one thousand, three hundred sixty-one".