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404024126017 is a prime number
BaseRepresentation
bin1011110000100011011…
…01101110101001000001
31102121212010200011010011
411320101231232221001
523104420134013032
6505334531104521
741122044256561
oct5702155565101
91377763604104
10404024126017
111463890a4886
1266376a42141
132c13a2591b5
14157aa7d6da1
15a799d37247
hex5e11b6ea41

404024126017 has 2 divisors, whose sum is σ = 404024126018. Its totient is φ = 404024126016.

The previous prime is 404024125987. The next prime is 404024126021. The reversal of 404024126017 is 710621420404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298898384656 + 105125741361 = 546716^2 + 324231^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404024126017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404024126017.

It is not a weakly prime, because it can be changed into another prime (404024226017) 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, 202012063008 + 202012063009.

It is an arithmetic number, because the mean of its divisors is an integer number (202012063009).

Almost surely, 2404024126017 is an apocalyptic number.

It is an amenable number.

404024126017 is a deficient number, since it is larger than the sum of its proper divisors (1).

404024126017 is an equidigital number, since it uses as much as digits as its factorization.

404024126017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 404024126017 in words is "four hundred four billion, twenty-four million, one hundred twenty-six thousand, seventeen".