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288214985969 is a prime number
BaseRepresentation
bin1000011000110101111…
…00111010110011110001
31000112221012100021200222
410030122330322303301
514210231014022334
6340223143222425
726552143650011
oct4143274726361
91015835307628
10288214985969
1110125a933889
1247a36747a15
132124239a521
14dd41cc7c41
15776cc57d2e
hex431af3acf1

288214985969 has 2 divisors, whose sum is σ = 288214985970. Its totient is φ = 288214985968.

The previous prime is 288214985911. The next prime is 288214986001. The reversal of 288214985969 is 969589412882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222467872225 + 65747113744 = 471665^2 + 256412^2 .

It is a cyclic number.

It is not a de Polignac number, because 288214985969 - 220 = 288213937393 is a prime.

It is a super-2 number, since 2×2882149859692 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (288214982969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144107492984 + 144107492985.

It is an arithmetic number, because the mean of its divisors is an integer number (144107492985).

Almost surely, 2288214985969 is an apocalyptic number.

It is an amenable number.

288214985969 is a deficient number, since it is larger than the sum of its proper divisors (1).

288214985969 is an equidigital number, since it uses as much as digits as its factorization.

288214985969 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 179159040, while the sum is 71.

The spelling of 288214985969 in words is "two hundred eighty-eight billion, two hundred fourteen million, nine hundred eighty-five thousand, nine hundred sixty-nine".