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4080000048401 is a prime number
BaseRepresentation
bin111011010111110010111…
…101000001110100010001
3112110001012012220020022202
4323113302331001310101
51013321320003022101
612402154240412545
7600525130125614
oct73276275016421
915401165806282
104080000048401
111333355731052
1255a893917155
13237985c49594
1410168a0cc17b
15711e448836b
hex3b5f2f41d11

4080000048401 has 2 divisors, whose sum is σ = 4080000048402. Its totient is φ = 4080000048400.

The previous prime is 4080000048361. The next prime is 4080000048409. The reversal of 4080000048401 is 1048400000804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3371244849025 + 708755199376 = 1836095^2 + 841876^2 .

It is a cyclic number.

It is not a de Polignac number, because 4080000048401 - 210 = 4080000047377 is a prime.

It is not a weakly prime, because it can be changed into another prime (4080000048409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2040000024200 + 2040000024201.

It is an arithmetic number, because the mean of its divisors is an integer number (2040000024201).

Almost surely, 24080000048401 is an apocalyptic number.

It is an amenable number.

4080000048401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4080000048401 is an equidigital number, since it uses as much as digits as its factorization.

4080000048401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 29.

The spelling of 4080000048401 in words is "four trillion, eighty billion, forty-eight thousand, four hundred one".