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320001344001 = 3237960964997
BaseRepresentation
bin1001010100000011001…
…00010000001000000001
31010120222102222120121200
410222001210100020001
520220330321002001
6403001231211413
732055634354533
oct4520144201001
91116872876550
10320001344001
11113791464069
1252027976b69
13242398871c1
14116b9697853
1584cd5e3086
hex4a81910201

320001344001 has 12 divisors (see below), whose sum is σ = 474716709012. Its totient is φ = 207568439136.

The previous prime is 320001343979. The next prime is 320001344011. The reversal of 320001344001 is 100443100023.

320001344001 is a `hidden beast` number, since 320 + 0 + 0 + 1 + 344 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 190487729601 + 129513614400 = 436449^2 + 359880^2 .

It is not a de Polignac number, because 320001344001 - 211 = 320001341953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320001344011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480482166 + ... + 480482831.

It is an arithmetic number, because the mean of its divisors is an integer number (39559725751).

Almost surely, 2320001344001 is an apocalyptic number.

It is an amenable number.

320001344001 is a deficient number, since it is larger than the sum of its proper divisors (154715365011).

320001344001 is a wasteful number, since it uses less digits than its factorization.

320001344001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960965040 (or 960965037 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320001344001 its reverse (100443100023), we get a palindrome (420444444024).

The spelling of 320001344001 in words is "three hundred twenty billion, one million, three hundred forty-four thousand, one".

Divisors: 1 3 9 37 111 333 960964997 2882894991 8648684973 35555704889 106667114667 320001344001