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401462343264105 = 3258921385405869
BaseRepresentation
bin101101101001000001011110…
…0010111000110011101101001
31221122110102110222002212102100
41123102002330113012131221
5410110024334333422410
63541501130542124013
7150363461055403014
oct13322027427063551
91848412428085370
10401462343264105
11106a11250741a52
123903a112580609
13143019761c43c6
14711cc499d837b
153162e545ab8c0
hex16d20bc5c6769

401462343264105 has 12 divisors (see below), whose sum is σ = 695868061657860. Its totient is φ = 214113249740832.

The previous prime is 401462343264097. The next prime is 401462343264127. The reversal of 401462343264105 is 501462343264104.

401462343264105 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 623 + 4 + 3 + 2 + 6 + 4 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121123143315216 + 280339199948889 = 11005596^2 + 16743333^2 .

It is not a de Polignac number, because 401462343264105 - 23 = 401462343264097 is a prime.

It is a super-2 number, since 2×4014623432641052 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 8921385405869 = 401462343264105 / (4 + 0 + 1 + 4 + 6 + 2 + 3 + 4 + 3 + 2 + 6 + 4 + 1 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4460692702890 + ... + 4460692702979.

It is an arithmetic number, because the mean of its divisors is an integer number (57989005138155).

Almost surely, 2401462343264105 is an apocalyptic number.

401462343264105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401462343264105 is a deficient number, since it is larger than the sum of its proper divisors (294405718393755).

401462343264105 is a wasteful number, since it uses less digits than its factorization.

401462343264105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8921385405880 (or 8921385405877 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

Subtracting 401462343264105 from its reverse (501462343264104), we obtain a palindrome (99999999999999).

The spelling of 401462343264105 in words is "four hundred one trillion, four hundred sixty-two billion, three hundred forty-three million, two hundred sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 45 8921385405869 26764156217607 44606927029345 80292468652821 133820781088035 401462343264105