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320423430305241 = 32294129943316541
BaseRepresentation
bin100100011011011000110010…
…0101111011011010111011001
31120000112011212210020021220200
41020312301210233123113121
5313444304141124231431
63053252254115212413
7124330554210643554
oct11066614457332731
91500464783207820
10320423430305241
11931078a4a92a8a
122bb3025a5a7109
13109a3a522a8513
14591a81095769b
152709e3709aee6
hex1236c64bdb5d9

320423430305241 has 24 divisors (see below), whose sum is σ = 490471524957960. Its totient is φ = 201219087148800.

The previous prime is 320423430305221. The next prime is 320423430305257. The reversal of 320423430305241 is 142503034324023.

320423430305241 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 2 + 343 + 0 + 305 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12504427545600 + 307919002759641 = 3536160^2 + 17547621^2 .

It is not a de Polignac number, because 320423430305241 - 227 = 320423296087513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 320423430305196 and 320423430305205.

It is not an unprimeable number, because it can be changed into a prime (320423430305221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14971647570 + ... + 14971668971.

It is an arithmetic number, because the mean of its divisors is an integer number (20436313539915).

Almost surely, 2320423430305241 is an apocalyptic number.

It is an amenable number.

320423430305241 is a deficient number, since it is larger than the sum of its proper divisors (170048094652719).

320423430305241 is a wasteful number, since it uses less digits than its factorization.

320423430305241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29943316617 (or 29943316614 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 320423430305241 its reverse (142503034324023), we get a palindrome (462926464629264).

The spelling of 320423430305241 in words is "three hundred twenty trillion, four hundred twenty-three billion, four hundred thirty million, three hundred five thousand, two hundred forty-one".

Divisors: 1 3 9 29 41 87 123 261 369 1189 3567 10701 29943316541 89829949623 269489848869 868356179689 1227675978181 2605068539067 3683027934543 7815205617201 11049083803629 35602603367249 106807810101747 320423430305241