Search a number
-
+
400041244411631 is a prime number
BaseRepresentation
bin101101011110101011101110…
…0010001001100011011101111
31221110102120101010220022110222
41122331113130101030123233
5404413233432032133011
63534452224405521555
7150156011651432354
oct13275273421143357
91843376333808428
10400041244411631
111065135a24645a9
1238a4a80b4132bb
131422a95c374354
1470b01571c662b
15313aecdec4ddb
hex16bd5dc44c6ef

400041244411631 has 2 divisors, whose sum is σ = 400041244411632. Its totient is φ = 400041244411630.

The previous prime is 400041244411591. The next prime is 400041244411649. The reversal of 400041244411631 is 136114442140004.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 400041244411631 - 230 = 400040170669807 is a prime.

It is a super-2 number, since 2×4000412444116312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400041244411591 and 400041244411600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400041244410631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200020622205815 + 200020622205816.

It is an arithmetic number, because the mean of its divisors is an integer number (200020622205816).

Almost surely, 2400041244411631 is an apocalyptic number.

400041244411631 is a deficient number, since it is larger than the sum of its proper divisors (1).

400041244411631 is an equidigital number, since it uses as much as digits as its factorization.

400041244411631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 400041244411631 its reverse (136114442140004), we get a palindrome (536155686551635).

The spelling of 400041244411631 in words is "four hundred trillion, forty-one billion, two hundred forty-four million, four hundred eleven thousand, six hundred thirty-one".