Search a number
-
+
324041314113020 = 225710998321601919
BaseRepresentation
bin100100110101101101011111…
…1011010111001010111111100
31120111100001021022220012010002
41021223122333122321113330
5314433043102403104040
63105102305153133432
7125153132561626160
oct11153327732712774
91514301238805102
10324041314113020
1194282171093789
123041546455a278
1310ba6c708a34aa
145a0397cd16ca0
15276e0d1713a15
hex126b6bf6b95fc

324041314113020 has 96 divisors (see below), whose sum is σ = 785632451788800. Its totient is φ = 109968624739584.

The previous prime is 324041314113017. The next prime is 324041314113079. The reversal of 324041314113020 is 20311413140423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4199621 + ... + 25801539.

It is an arithmetic number, because the mean of its divisors is an integer number (8183671372800).

Almost surely, 2324041314113020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324041314113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392816225894400).

324041314113020 is an abundant number, since it is smaller than the sum of its proper divisors (461591137675780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324041314113020 is a wasteful number, since it uses less digits than its factorization.

324041314113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21603027 (or 21603025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 324041314113020 its reverse (20311413140423), we get a palindrome (344352727253443).

The spelling of 324041314113020 in words is "three hundred twenty-four trillion, forty-one billion, three hundred fourteen million, one hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 983 1090 1526 1966 2180 3052 3815 3932 4915 6881 7630 9830 13762 15260 19660 27524 34405 68810 107147 137620 214294 428588 535735 750029 1071470 1500058 2142940 3000116 3750145 7500290 15000580 21601919 43203838 86407676 108009595 151213433 216019190 302426866 432038380 604853732 756067165 1512134330 2354609171 3024268660 4709218342 9418436684 11773045855 16482264197 21234686377 23546091710 32964528394 42469372754 47092183420 65929056788 82411320985 84938745508 106173431885 148642804639 164822641970 212346863770 297285609278 329645283940 424693727540 594571218556 743214023195 1486428046390 2314580815093 2972856092780 4629161630186 9258323260372 11572904075465 16202065705651 23145808150930 32404131411302 46291616301860 64808262822604 81010328528255 162020657056510 324041314113020