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4090378297601 is a prime number
BaseRepresentation
bin111011100001011101100…
…010111010000100000001
3112111000222111101220210202
4323201131202322010001
51014004043321010401
612411032134334545
7601343246602121
oct73413542720401
915430874356722
104090378297601
1113377a0a05302
125608ab4ba455
1323894b10103b
14101d92592c81
157160066006b
hex3b85d8ba101

4090378297601 has 2 divisors, whose sum is σ = 4090378297602. Its totient is φ = 4090378297600.

The previous prime is 4090378297561. The next prime is 4090378297619. The reversal of 4090378297601 is 1067928730904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3671056000000 + 419322297601 = 1916000^2 + 647551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4090378297601 is a prime.

It is not a weakly prime, because it can be changed into another prime (4090378297631) 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, 2045189148800 + 2045189148801.

It is an arithmetic number, because the mean of its divisors is an integer number (2045189148801).

Almost surely, 24090378297601 is an apocalyptic number.

It is an amenable number.

4090378297601 is a deficient number, since it is larger than the sum of its proper divisors (1).

4090378297601 is an equidigital number, since it uses as much as digits as its factorization.

4090378297601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 56.

The spelling of 4090378297601 in words is "four trillion, ninety billion, three hundred seventy-eight million, two hundred ninety-seven thousand, six hundred one".