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290590944001 is a prime number
BaseRepresentation
bin1000011101010001001…
…00011110101100000001
31000210001210010110101121
410032220210132230001
514230112240202001
6341255020232241
726665054161241
oct4165044365401
91023053113347
10290590944001
1110226a015266
124839a39b681
13215306b9057
14100c9689b21
15785b6306a1
hex43a891eb01

290590944001 has 2 divisors, whose sum is σ = 290590944002. Its totient is φ = 290590944000.

The previous prime is 290590943977. The next prime is 290590944019. The reversal of 290590944001 is 100449095092.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 258878457601 + 31712486400 = 508801^2 + 178080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-290590944001 is a prime.

It is not a weakly prime, because it can be changed into another prime (290590944071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145295472000 + 145295472001.

It is an arithmetic number, because the mean of its divisors is an integer number (145295472001).

Almost surely, 2290590944001 is an apocalyptic number.

It is an amenable number.

290590944001 is a deficient number, since it is larger than the sum of its proper divisors (1).

290590944001 is an equidigital number, since it uses as much as digits as its factorization.

290590944001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 290590944001 in words is "two hundred ninety billion, five hundred ninety million, nine hundred forty-four thousand, one".