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320561416341 = 3254136580073
BaseRepresentation
bin1001010101000101111…
…00110000100010010101
31010122102110212012102200
410222202330300202111
520223002210310331
6403132555355113
732105545036515
oct4524274604225
91118373765380
10320561416341
11113a49620771
1252163452a99
13242c891315a
141172dc09845
1585128755e6
hex4aa2f30895

320561416341 has 12 divisors (see below), whose sum is σ = 463118768268. Its totient is φ = 213668097984.

The previous prime is 320561416327. The next prime is 320561416379. The reversal of 320561416341 is 143614165023.

320561416341 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 6 + 14 + 1 + 634 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99234450225 + 221326966116 = 315015^2 + 470454^2 .

It is not a de Polignac number, because 320561416341 - 213 = 320561408149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320561416296 and 320561416305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320561416321) 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 in 11 ways as a sum of consecutive naturals, for example, 3241320 + ... + 3338753.

It is an arithmetic number, because the mean of its divisors is an integer number (38593230689).

Almost surely, 2320561416341 is an apocalyptic number.

It is an amenable number.

320561416341 is a deficient number, since it is larger than the sum of its proper divisors (142557351927).

320561416341 is a wasteful number, since it uses less digits than its factorization.

320561416341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6585492 (or 6585489 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 320561416341 in words is "three hundred twenty billion, five hundred sixty-one million, four hundred sixteen thousand, three hundred forty-one".

Divisors: 1 3 9 5413 16239 48717 6580073 19740219 59220657 35617935149 106853805447 320561416341