Search a number
-
+
288405293381 is a prime number
BaseRepresentation
bin1000011001001100100…
…10111000100101000101
31000120102110102220101122
410030212102320211011
514211123223342011
6340254102203325
726556644355062
oct4144622704505
91016373386348
10288405293381
111013482a6637
1247a8a423545
132127293cb6a
14dd5d2a5c69
15777e7ea3db
hex43264b8945

288405293381 has 2 divisors, whose sum is σ = 288405293382. Its totient is φ = 288405293380.

The previous prime is 288405293321. The next prime is 288405293419. The reversal of 288405293381 is 183392504882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 283008040225 + 5397253156 = 531985^2 + 73466^2 .

It is a cyclic number.

It is not a de Polignac number, because 288405293381 - 230 = 287331551557 is a prime.

It is a super-2 number, since 2×2884052933812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288405293321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144202646690 + 144202646691.

It is an arithmetic number, because the mean of its divisors is an integer number (144202646691).

Almost surely, 2288405293381 is an apocalyptic number.

It is an amenable number.

288405293381 is a deficient number, since it is larger than the sum of its proper divisors (1).

288405293381 is an equidigital number, since it uses as much as digits as its factorization.

288405293381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 288405293381 in words is "two hundred eighty-eight billion, four hundred five million, two hundred ninety-three thousand, three hundred eighty-one".