Search a number
-
+
400109141 is a prime number
BaseRepresentation
bin10111110110010…
…010111001010101
31000212212122120002
4113312102321111
51304411443031
6103411421045
712625604645
oct2766227125
91025778502
10400109141
1119593aa13
12b1bb4785
1364b7c193
143b1d2525
15251d5ccb
hex17d92e55

400109141 has 2 divisors, whose sum is σ = 400109142. Its totient is φ = 400109140.

The previous prime is 400109123. The next prime is 400109147. The reversal of 400109141 is 141901004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304362916 + 95746225 = 17446^2 + 9785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400109141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400109147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200054570 + 200054571.

It is an arithmetic number, because the mean of its divisors is an integer number (200054571).

Almost surely, 2400109141 is an apocalyptic number.

It is an amenable number.

400109141 is a deficient number, since it is larger than the sum of its proper divisors (1).

400109141 is an equidigital number, since it uses as much as digits as its factorization.

400109141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 400109141 is about 20002.7283389042. The cubic root of 400109141 is about 736.8733067811.

The spelling of 400109141 in words is "four hundred million, one hundred nine thousand, one hundred forty-one".