Search a number
-
+
288426088361 is a prime number
BaseRepresentation
bin1000011001001111000…
…10001101011110101001
31000120110220120101202002
410030213202031132221
514211144034311421
6340300124020345
726560316204615
oct4144742153651
91016426511662
10288426088361
1110135900a174
1247a953916b5
1321277041098
14dd61d5a345
157781556b0b
hex432788d7a9

288426088361 has 2 divisors, whose sum is σ = 288426088362. Its totient is φ = 288426088360.

The previous prime is 288426088283. The next prime is 288426088373. The reversal of 288426088361 is 163880624882.

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., 159185838361 + 129240250000 = 398981^2 + 359500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-288426088361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 288426088297 and 288426088306.

It is not a weakly prime, because it can be changed into another prime (288426088861) 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, 144213044180 + 144213044181.

It is an arithmetic number, because the mean of its divisors is an integer number (144213044181).

Almost surely, 2288426088361 is an apocalyptic number.

It is an amenable number.

288426088361 is a deficient number, since it is larger than the sum of its proper divisors (1).

288426088361 is an equidigital number, since it uses as much as digits as its factorization.

288426088361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7077888, while the sum is 56.

The spelling of 288426088361 in words is "two hundred eighty-eight billion, four hundred twenty-six million, eighty-eight thousand, three hundred sixty-one".