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400112741837 is a prime number
BaseRepresentation
bin1011101001010001001…
…00111110110111001101
31102020202112201020201102
411310220210332313031
523023412330214322
6503450444352445
740623111122264
oct5645044766715
91366675636642
10400112741837
11144761236a76
1265664b45725
132b965ac36a3
141551914d5db
15a61b768792
hex5d2893edcd

400112741837 has 2 divisors, whose sum is σ = 400112741838. Its totient is φ = 400112741836.

The previous prime is 400112741779. The next prime is 400112741839. The reversal of 400112741837 is 738147211004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399431584036 + 681157801 = 632006^2 + 26099^2 .

It is a cyclic number.

It is not a de Polignac number, because 400112741837 - 212 = 400112737741 is a prime.

Together with 400112741839, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400112741837.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400112741839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200056370918 + 200056370919.

It is an arithmetic number, because the mean of its divisors is an integer number (200056370919).

Almost surely, 2400112741837 is an apocalyptic number.

It is an amenable number.

400112741837 is a deficient number, since it is larger than the sum of its proper divisors (1).

400112741837 is an equidigital number, since it uses as much as digits as its factorization.

400112741837 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37632, while the sum is 38.

The spelling of 400112741837 in words is "four hundred billion, one hundred twelve million, seven hundred forty-one thousand, eight hundred thirty-seven".