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290104144177 is a prime number
BaseRepresentation
bin1000011100010111000…
…11011111000100110001
31000201210212010110120111
410032023203133010301
514223113130103202
6341134430341321
726650023352621
oct4161343370461
91021725113514
10290104144177
1110203a254361
124828335a841
13214838a6313
1410080b6c881
15782da236d7
hex438b8df131

290104144177 has 2 divisors, whose sum is σ = 290104144178. Its totient is φ = 290104144176.

The previous prime is 290104144139. The next prime is 290104144207. The reversal of 290104144177 is 771441401092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158665992241 + 131438151936 = 398329^2 + 362544^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-290104144177 is a prime.

It is not a weakly prime, because it can be changed into another prime (290104144117) 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, 145052072088 + 145052072089.

It is an arithmetic number, because the mean of its divisors is an integer number (145052072089).

Almost surely, 2290104144177 is an apocalyptic number.

It is an amenable number.

290104144177 is a deficient number, since it is larger than the sum of its proper divisors (1).

290104144177 is an equidigital number, since it uses as much as digits as its factorization.

290104144177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56448, while the sum is 40.

It can be divided in two parts, 290104 and 144177, that added together give a square (434281 = 6592).

The spelling of 290104144177 in words is "two hundred ninety billion, one hundred four million, one hundred forty-four thousand, one hundred seventy-seven".