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4000400023 is a prime number
BaseRepresentation
bin1110111001110001…
…0100001010010111
3101022210110101011211
43232130110022113
531143100300043
61500542242251
7201063560554
oct35634241227
911283411154
104000400023
111773137824
12937886387
134b9a31809
1429d419a2b
15186303a9d
hexee714297

4000400023 has 2 divisors, whose sum is σ = 4000400024. Its totient is φ = 4000400022.

The previous prime is 4000399981. The next prime is 4000400029. The reversal of 4000400023 is 3200040004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4000400023 - 29 = 4000399511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000399976 and 4000400012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000400029) 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, 2000200011 + 2000200012.

It is an arithmetic number, because the mean of its divisors is an integer number (2000200012).

Almost surely, 24000400023 is an apocalyptic number.

4000400023 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000400023 is an equidigital number, since it uses as much as digits as its factorization.

4000400023 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4000400023 is about 63248.7155837966. The cubic root of 4000400023 is about 1587.4539666152.

Adding to 4000400023 its reverse (3200040004), we get a palindrome (7200440027).

The spelling of 4000400023 in words is "four billion, four hundred thousand, twenty-three".