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264400321441 is a prime number
BaseRepresentation
bin1111011000111101111…
…1001011101110100001
3221021110111211222110211
43312033133023232201
513312442440241231
6321244104254121
725050041436124
oct3661737135641
9837414758424
10264400321441
11a214a0a7953
12432ab171341
131bc185c2759
14cb231343bb
156d27175eb1
hex3d8f7cbba1

264400321441 has 2 divisors, whose sum is σ = 264400321442. Its totient is φ = 264400321440.

The previous prime is 264400321357. The next prime is 264400321463. The reversal of 264400321441 is 144123004462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214087588416 + 50312733025 = 462696^2 + 224305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264400321441 is a prime.

It is not a weakly prime, because it can be changed into another prime (264400322441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132200160720 + 132200160721.

It is an arithmetic number, because the mean of its divisors is an integer number (132200160721).

Almost surely, 2264400321441 is an apocalyptic number.

It is an amenable number.

264400321441 is a deficient number, since it is larger than the sum of its proper divisors (1).

264400321441 is an equidigital number, since it uses as much as digits as its factorization.

264400321441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 264400321441 in words is "two hundred sixty-four billion, four hundred million, three hundred twenty-one thousand, four hundred forty-one".