428465213862810020
428,465,213,862,810,020 is an even composite number composed of seven prime numbers multiplied together.
428465213862810020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428465213862810020:
22 × 5 × 132 × 17 × 19 × 257 × 1527085039
(2 × 2 × 5 × 13 × 13 × 17 × 19 × 257 × 1527085039)See below for interesting mathematical facts about the number 428465213862810020 from the Numbermatics database.
Names of 428465213862810020
- Cardinal: 428465213862810020 can be written as Four hundred twenty-eight quadrillion, four hundred sixty-five trillion, two hundred thirteen billion, eight hundred sixty-two million, eight hundred ten thousand and twenty.
Scientific notation
- Scientific notation: 4.2846521386281002 × 1017
Factors of 428465213862810020
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 1527085352
Divisors of 428465213862810020
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 10 13 17 19 20 26 34 38 52 65 68 76 85 95 130 169 170 190 221 247 257 260 323 338 340 380 442 494 514 646 676 845 884 988 1028 1105 1235 1285 1292 1615 1690 2210 2470 2570 2873 3211 3230 3341 3380 4199 4369 4420 4883 4940 5140 5746 6422 6460 6682 8398 8738 9766 11492 12844 13364 14365 16055 16705 16796 17476 19532 20995 21845 24415 28730 32110 33410 41990 43433 43690 48830 54587 56797 57460 63479 64220 66820 83011 83980 86866 87380 97660 109174 113594 126958 166022 173732 217165 218348 227188 253916 272935 283985 317395 332044 415055 434330 545870 567970 634790 738361 825227 830110 868660 1079143 1091740 1135940 1269580 1476722 1650454 1660220 2158286 2953444 3300908 3691805 4126135 4316572 5395715 7383610 8252270 10791430 14028859 14767220 16504540 21582860 28057718 56115436 70144295 140288590 280577180 1527085039 3054170078 6108340156 7635425195 15270850390 19852105507 25960445663 29014615741 30541700780 39704211014 51920891326 58029231482 79408422028 99260527535 103841782652 116058462964 129802228315 145073078705 198521055070 258077371591 259604456630 290146157410 337485793619 377190004633 392460855023 397042110140 493248467597 516154743182 519208913260 580292314820 674971587238 754380009266 784921710046 986496935194 1032309486364 1290386857955 1349943174476 1508760018532 1569843420092 1687428968095 1885950023165 1962304275115 1972993870388 2466242337985 2580773715910 3374857936190 3771900046330 3924608550230 4387315317047 4903470060229 4932484675970 5101991115299 5161547431820 6412230078761 6671834535391 6749715872380 7456756245437 7543800092660 7849217100460 8774630634094 9806940120458 9864969351940 10203982230598 12824460157522 13343669070782 14913512490874 17549261268188 19613880240916 20407964461196 21936576585235 24517350301145 25509955576495 25648920315044 26687338141564 29827024981748 32061150393805 33359172676955 37283781227185 43873153170470 49034700602290 51019911152990 64122300787610 66325884498887 66718345353910 74567562454370 83358991023893 86733848960083 87746306340940 96937831190681 98069401204580 102039822305980 126764856172429 128244601575220 132651768997774 133436690707820 149135124908740 166717982047786 173467697920166 193875662381362 253529712344858 265303537995548 331629422494435 333435964095572 346935395840332 387751324762724 416794955119465 433669244800415 484689155953405 507059424689716 633824280862145 663258844988870 833589910238930 867338489600830 969378311906810 1127540036481079 1260191805478853 1267648561724290 1326517689977740 1647943130241577 1667179820477860 1734676979201660 1938756623813620 2255080072962158 2520383610957706 2535297123448580 3295886260483154 4510160145924316 5040767221915412 5637700182405395 6300959027394265 6591772520966308 8239715651207885 11275400364810790 12601918054788530 16479431302415770 21423260693140501 22550800729621580 25203836109577060 32958862604831540 42846521386281002 85693042772562004 107116303465702505 214232606931405010 428465213862810020
- Sum of all divisors σ(n): 1090148871347827200
- Sum of proper divisors (its aliquot sum) s(n): 661683657485017180
- 428465213862810020 is an abundant number, because the sum of its proper divisors (661683657485017180) is greater than itself. Its abundance is 233218443622207160
Bases of 428465213862810020
- Binary: 101111100100011011011010111100001101110011110010001101001002
- Hexadecimal: 0x5F236D786E791A4
- Base-36: 396U8PX5XBJ8
Squares and roots of 428465213862810020
- 428465213862810020 squared (4284652138628100202) is 183582439490503527740109650612400400
- 428465213862810020 cubed (4284652138628100203) is 78658689197754973778867628672512280274363401372008000
-
The
square root of 428465213862810020 is 654572542.8574055457 -
The
cube root of 428465213862810020 is 753885.1512991941
Scales and comparisons
How big is 428465213862810020?- 428,465,213,862,810,020 seconds is equal to 13,623,868,470 years, 47 weeks, 3 days, 3 hours, 40 minutes, 20 seconds.
-
To count from 1 to 428,465,213,862,810,020 would take you about forty billion, eight hundred seventy-one million, six hundred five thousand, four hundred twelve years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428465213862810020 cubic inches would be around 62823.8 feet tall.
Recreational maths with 428465213862810020
- 428465213862810020 backwards is 020018268312564824
- The number of decimal digits it has is: 18
- The sum of 428465213862810020's digits is 62
- More coming soon!
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