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361144961 is a prime number
BaseRepresentation
bin10101100001101…
…010001010000001
3221011120001202022
4111201222022001
51214423114321
655500331225
711643452522
oct2541521201
9834501668
10361144961
11175947611
12a0b43b15
1359a88c58
1435d6c849
1521a8adab
hex1586a281

361144961 has 2 divisors, whose sum is σ = 361144962. Its totient is φ = 361144960.

The previous prime is 361144937. The next prime is 361145023. The reversal of 361144961 is 169441163.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270799936 + 90345025 = 16456^2 + 9505^2 .

It is a cyclic number.

It is not a de Polignac number, because 361144961 - 26 = 361144897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (361144921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180572480 + 180572481.

It is an arithmetic number, because the mean of its divisors is an integer number (180572481).

Almost surely, 2361144961 is an apocalyptic number.

It is an amenable number.

361144961 is a deficient number, since it is larger than the sum of its proper divisors (1).

361144961 is an equidigital number, since it uses as much as digits as its factorization.

361144961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15552, while the sum is 35.

The square root of 361144961 is about 19003.8143802764. The cubic root of 361144961 is about 712.1320302065.

The spelling of 361144961 in words is "three hundred sixty-one million, one hundred forty-four thousand, nine hundred sixty-one".