Search a number
-
+
10404013409 is a prime number
BaseRepresentation
bin10011011000010000…
…01010010101100001
3222212001222122022222
421230020022111201
5132301411412114
64440214040425
7515551440416
oct115410122541
928761878288
1010404013409
114459881299
122024349115
13c9a60576a
14709a9010d
1540d5b598e
hex26c20a561

10404013409 has 2 divisors, whose sum is σ = 10404013410. Its totient is φ = 10404013408.

The previous prime is 10404013393. The next prime is 10404013457. The reversal of 10404013409 is 90431040401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10316871184 + 87142225 = 101572^2 + 9335^2 .

It is a cyclic number.

It is not a de Polignac number, because 10404013409 - 24 = 10404013393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10404013489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202006704 + 5202006705.

It is an arithmetic number, because the mean of its divisors is an integer number (5202006705).

Almost surely, 210404013409 is an apocalyptic number.

It is an amenable number.

10404013409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10404013409 is an equidigital number, since it uses as much as digits as its factorization.

10404013409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 10404013409 in words is "ten billion, four hundred four million, thirteen thousand, four hundred nine".