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400040400047 is a prime number
BaseRepresentation
bin1011101001001000100…
…01000001010010101111
31102020120111120220102212
411310210101001102233
523023240320300142
6503435342041035
740621242203261
oct5644421012257
91366514526385
10400040400047
11144724416572
126564487917b
132b953b14cb2
141550d6bbb31
15a615228d82
hex5d244414af

400040400047 has 2 divisors, whose sum is σ = 400040400048. Its totient is φ = 400040400046.

The previous prime is 400040399981. The next prime is 400040400049. The reversal of 400040400047 is 740004040004.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 400040400047 - 234 = 382860530863 is a prime.

Together with 400040400049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 400040399995 and 400040400031.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400040400049) 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, 200020200023 + 200020200024.

It is an arithmetic number, because the mean of its divisors is an integer number (200020200024).

Almost surely, 2400040400047 is an apocalyptic number.

400040400047 is a deficient number, since it is larger than the sum of its proper divisors (1).

400040400047 is an equidigital number, since it uses as much as digits as its factorization.

400040400047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1792, while the sum is 23.

The spelling of 400040400047 in words is "four hundred billion, forty million, four hundred thousand, forty-seven".