Search a number
-
+
3424302021114 = 2341319776910733
BaseRepresentation
bin110001110101001000010…
…011100011100111111010
3110010100201111101020020000
4301311020103203213322
5422100432304133424
611141034100213430
7502253252633442
oct61651023434772
913110644336200
103424302021114
111100269246247
1247379b99a276
131babaabc22a0
14bba46873122
155e1198db3c9
hex31d484e39fa

3424302021114 has 160 divisors (see below), whose sum is σ = 8316721662480. Its totient is φ = 1046822289408.

The previous prime is 3424302021061. The next prime is 3424302021187. The reversal of 3424302021114 is 4111202034243.

3424302021114 is a `hidden beast` number, since 3 + 4 + 2 + 430 + 2 + 0 + 211 + 14 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1116688860225 + 2307613160889 = 1056735^2 + 1519083^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 319038892 + ... + 319049624.

Almost surely, 23424302021114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424302021114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158360831240).

3424302021114 is an abundant number, since it is smaller than the sum of its proper divisors (4892419641366).

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

3424302021114 is a wasteful number, since it uses less digits than its factorization.

3424302021114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3424302021114 its reverse (4111202034243), we get a palindrome (7535504055357).

The spelling of 3424302021114 in words is "three trillion, four hundred twenty-four billion, three hundred two million, twenty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 197 234 351 394 591 702 769 1053 1182 1538 1773 2106 2307 2561 3546 4614 5122 5319 6921 7683 9997 10638 10733 13842 15366 15957 19994 20763 21466 23049 29991 31914 32199 41526 46098 59982 62289 64398 69147 89973 96597 124578 138294 139529 151493 179946 193194 207441 269919 279058 289791 302986 414882 418587 454479 539838 579582 809757 837174 869373 908958 1255761 1363437 1619514 1738746 1969409 2114401 2511522 2726874 3767283 3938818 4090311 4228802 5908227 6343203 7534566 8180622 8253677 11301849 11816454 12270933 12686406 16507354 17724681 19029609 22603698 24541866 24761031 27487213 35449362 38059218 49522062 53174043 54974426 57088827 74283093 82461639 106348086 107297801 114177654 148566186 159522129 164923278 171266481 214595602 222849279 247384917 319044258 321893403 342532962 445698558 494769834 643786806 668547837 742154751 965680209 1337095674 1484309502 1625974369 1931360418 2226464253 2897040627 3251948738 4452928506 4877923107 5794081254 8691121881 9755846214 14633769321 17382243762 21137666797 29267538642 42275333594 43901307963 63413000391 87802615926 126826000782 131703923889 190239001173 263407847778 380478002346 570717003519 1141434007038 1712151010557 3424302021114