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400412242213993 is a prime number
BaseRepresentation
bin101101100001011000011110…
…1011101011111110001101001
31221111202000222121201101121201
41123002300331131133301221
5404440323233001321433
63535334502240204201
7150224554430633332
oct13302607535376151
91844660877641551
10400412242213993
11106646973005619
1238aaa6a9909661
13142569352683a9
1470c40ad679289
15314599468ea7d
hex16c2c3d75fc69

400412242213993 has 2 divisors, whose sum is σ = 400412242213994. Its totient is φ = 400412242213992.

The previous prime is 400412242213937. The next prime is 400412242214041. The reversal of 400412242213993 is 399312242214004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400397418664489 + 14823549504 = 20009933^2 + 121752^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400412242213993 is a prime.

It is not a weakly prime, because it can be changed into another prime (400412242813993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200206121106996 + 200206121106997.

It is an arithmetic number, because the mean of its divisors is an integer number (200206121106997).

Almost surely, 2400412242213993 is an apocalyptic number.

It is an amenable number.

400412242213993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400412242213993 is an equidigital number, since it uses as much as digits as its factorization.

400412242213993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 746496, while the sum is 46.

Adding to 400412242213993 its reverse (399312242214004), we get a palindrome (799724484427997).

The spelling of 400412242213993 in words is "four hundred trillion, four hundred twelve billion, two hundred forty-two million, two hundred thirteen thousand, nine hundred ninety-three".