428006635920500
428,006,635,920,500 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428006635920500 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
428006635920500 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428006635920500:
22 × 53 × 72 × 133 × 17 × 29 × 1272
(2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 17 × 29 × 127 × 127)See below for interesting mathematical facts about the number 428006635920500 from the Numbermatics database.
Names of 428006635920500
- Cardinal: 428006635920500 can be written as Four hundred twenty-eight trillion, six billion, six hundred thirty-five million, nine hundred twenty thousand, five hundred.
Scientific notation
- Scientific notation: 4.280066359205 × 1014
Factors of 428006635920500
Divisors of 428006635920500
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 10 13 14 17 20 25 26 28 29 34 35 49 50 52 58 65 68 70 85 91 98 100 116 119 125 127 130 140 145 169 170 175 182 196 203 221 238 245 250 254 260 290 325 338 340 350 364 377 406 425 442 455 476 490 493 500 508 580 595 635 637 650 676 700 725 754 812 833 845 850 875 884 889 910 980 986 1015 1105 1183 1190 1225 1270 1274 1300 1421 1450 1508 1547 1625 1651 1666 1690 1700 1750 1778 1820 1885 1972 2030 2125 2159 2197 2210 2275 2366 2380 2450 2465 2540 2548 2639 2842 2873 2900 2975 3094 3175 3185 3250 3302 3332 3380 3451 3500 3556 3625 3683 3770 4060 4165 4225 4250 4318 4394 4420 4445 4550 4732 4900 4901 4930 5075 5278 5525 5684 5746 5915 5950 6125 6188 6223 6350 6370 6409 6500 6604 6902 7105 7250 7366 7540 7735 8255 8281 8330 8450 8500 8636 8788 8890 9100 9425 9802 9860 10150 10556 10795 10829 10985 11050 11375 11492 11557 11830 11900 12250 12325 12446 12700 12740 12818 13195 13804 14210 14365 14500 14732 14875 15113 15379 15470 15875 15925 16129 16510 16562 16660 16900 17255 17780 18415 18473 18850 19604 20111 20300 20825 21125 21463 21590 21658 21970 22100 22225 22750 23114 23660 24157 24500 24505 24650 24892 25375 25636 25781 26390 27625 28067 28420 28730 29575 29750 30226 30758 30940 31115 31750 31850 32045 32258 33020 33124 34307 34510 35525 36830 36946 37349 37700 38675 40222 41275 41405 41650 42250 42926 43180 43316 43940 44450 44863 45500 46228 47125 47879 48314 49010 49300 50750 51562 52780 53975 54145 54925 55250 56134 57460 57785 59150 59500 60452 61516 61625 62230 62611 63500 63700 63713 64090 64516 65975 68614 69020 71050 71825 73660 73892 74698 75565 76895 77350 79625 80444 80645 80899 82550 82810 83300 83317 84500 85852 86275 88900 89726 92075 92365 94250 95758 96628 98020 100555 101500 103124 104125 105791 107315 107653 107950 108290 109850 110500 111125 112268 112903 115570 118300 120785 122525 123250 124460 125222 127426 128180 128905 131950 137228 140335 140777 142100 143650 147875 149396 150241 151130 153790 154700 155575 159250 160225 161290 161798 165100 165620 166634 171535 172550 177625 179452 180467 184150 184730 186745 188500 191516 193375 196469 201110 206375 207025 208250 209677 211582 214630 215306 215900 216580 219700 222250 224315 225806 231140 239395 240149 241570 245050 246500 250444 254852 257810 261443 263900 269875 270725 274193 274625 279019 280670 281554 287300 288925 295750 300482 302260 307580 311150 313055 314041 318500 318565 320450 322580 323596 329875 333268 335153 343070 345100 355250 359125 360934 364871 368300 369460 373490 377825 384475 386750 392938 402220 403225 404495 412750 414050 416500 416585 419354 423164 429260 430612 431375 438277 444500 445991 448630 451612 460375 461825 467741 478790 480298 483140 490100 502775 515620 522886 528955 536575 538265 539750 541450 548386 549250 558038 561340 563108 564515 577850 583219 591500 600964 603925 612625 622300 622427 626110 628082 637130 640900 644525 659750 670306 686140 701675 703885 710500 718250 721868 729742 746980 751205 755650 768950 773500 777875 785876 790321 801125 806450 808990 813943 825500 828100 833170 838708 857675 862750 876554 891982 897260 902335 920750 923650 933725 935482 957580 960596 982345 1005550 1035125 1045772 1048385 1051687 1057910 1073150 1076530 1079500 1082900 1083121 1096772 1098500 1116076 1121575 1129030 1155700 1166438 1196975 1200745 1207850 1225250 1244854 1252220 1256164 1274260 1289050 1307215 1319500 1340612 1353625 1370965 1375283 1395095 1403350 1407770 1436500 1444625 1459484 1467739 1502410 1511300 1537900 1555750 1565275 1570205 1580642 1592825 1602250 1612900 1617980 1627886 1666340 1675765 1715350 1725500 1753108 1783964 1804670 1824355 1830101 1841500 1847300 1867450 1870964 1889125 1919351 1922375 1953133 1964690 2011100 2016125 2022475 2070250 2082925 2096770 2103374 2115820 2146300 2153060 2166242 2191385 2229955 2243150 2258060 2309125 2332876 2338705 2346071 2393950 2401490 2415700 2450500 2489708 2513875 2554097 2578100 2614430 2644775 2682875 2691325 2707250 2725801 2741930 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1343819893 1362900500 1367193100 1375563670 1391529475 1416021425 1424400250 1447190654 1481376260 1489755085 1520158250 1524946150 1533969500 1558513012 1560968500 1580964580 1585943996 1621851595 1637093500 1660163050 1679432125 1708991375 1736335237 1746609410 1771770650 1782254500 1787867900 1851720325 1895461750 1908060700 1925789138 1948141265 1976205725 1982429995 1987899250 1994160350 2022887750 2041266500 2055253954 2067415220 2073926764 2128221550 2178494500 2213350412 2234834875 2270592233 2291930900 2316930850 2324228270 2371661500 2385075875 2409608084 2480478910 2495156300 2568543250 2584269025 2592408455 2645314750 2653646450 2671284980 2687639786 2751127340 2766688015 2783058950 2832042850 2848800500 2864913625 2894381308 2979510170 3012010105 3040316500 3049892300 3118945375 3243703190 3320326100 3339106225 3358864250 3417982750 3438909175 3472670474 3493218820 3543541300 3617976635 3703440650 3790923500 3812365375 3851578276 3873363221 3896282530 3952411450 3964859990 3975798500 3988320700 4045775500 4110507908 4150407625 4216814147 4256443100 4366523525 4429426625 4469669750 4541184466 4633861700 4648456540 4770151750 4814472845 4960957820 4985400875 5065167289 5137086500 5138134885 5168538050 5184816910 5290629500 5307292900 5320553875 5375279572 5533376030 5566117900 5664085700 5729827250 5792327125 5810570675 5959020340 6024020210 6201197275 6237890750 6487406380 6634116125 6678212450 6717728500 6719099465 6740261983 6835965500 6877818350 6945340948 6957647375 7080107125 7193388839 7235953270 7406881300 7448775425 7624730750 7746726442 7792565060 7904822900 7929719980 8109257975 8300815250 8433628294 8681676185 8733047050 8858853250 8939339500 9082368932 9258601625 9406739251 9540303500 9628945690 9740706325 9881028625 9912149975 9970801750 10130334578 10276269770 10337076100 10369633820 10641107750 11066752060 11352961165 11459654500 11584654250 11621141350 12048040420 12402394550 12475781500 12921345125 12962042275 13268232250 13356424900 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295176990290 301201010500 329235873785 335954973250 337013099150 349393172180 359669441950 361797663500 387336322100 421681414700 434083809250 436741465225 470336962550 481447284500 484170402625 489150441052 503537218730 506516728900 513813488500 527101768375 567648058250 590353980580 611438051315 633145911125 658471747570 671909946500 674026198300 719338883900 737942475725 842532747875 856013271841 868167618500 873482930450 899173604875 940673925100 968340805250 1007074437460 1054203536750 1135296116500 1175842406375 1222876102630 1258843046825 1266291822250 1316943495140 1475884951450 1646179368925 1685065495750 1712026543682 1746965860900 1798347209750 1936681610500 2108407073500 2183707326125 2351684812750 2445752205260 2517686093650 2532583644500 2951769902900 3057190256575 3292358737850 3370130991500 3424053087364 3596694419500 3689712378625 4280066359205 4367414652250 4703369625500 5035372187300 6114380513150 6294215234125 6584717475700 7379424757250 8230896844625 8560132718410 8734829304500 12228761026300 12588430468250 14758849514500 15285951282875 16461793689250 17120265436820 21400331796025 25176860936500 30571902565750 32923587378500 42800663592050 61143805131500 85601327184100 107001658980125 214003317960250 428006635920500
- Sum of all divisors σ(n): 1300494789921600
- Sum of proper divisors (its aliquot sum) s(n): 872488154001100
- 428006635920500 is an abundant number, because the sum of its proper divisors (872488154001100) is greater than itself. Its abundance is 444481518080600
Bases of 428006635920500
- Binary: 11000010101000101000011110111111011011100011101002
- Hexadecimal: 0x185450F7EDC74
- Base-36: 47PRJ8819W
Squares and roots of 428006635920500
- 428006635920500 squared (4280066359205002) is 183189680391983440882320250000
- 428006635920500 cubed (4280066359205003) is 78406398839924414308584078527034540125000000
-
The
square root of 428006635920500 is 20688321.2446176987 -
The
cube root of 428006635920500 is 75361.6099109357
Scales and comparisons
How big is 428006635920500?- 428,006,635,920,500 seconds is equal to 13,609,287 years, 5 weeks, 5 days, 8 hours, 8 minutes, 20 seconds.
-
To count from 1 to 428,006,635,920,500 would take you about thirty-four million, twenty-three thousand, two hundred seventeen 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 428006635920500 cubic inches would be around 6280.1 feet tall.
Recreational maths with 428006635920500
- 428006635920500 backwards is 005029536600824
- 428006635920500 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428006635920500's digits is 50
- More coming soon!
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"Number 428006635920500 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 428006635920500 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/428006635920500/
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The information we have on file for 428006635920500 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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