428190627093008000
428,190,627,093,008,000 is an even composite number composed of seven prime numbers multiplied together.
428190627093008000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 428190627093008000:
27 × 53 × 13 × 312 × 131 × 1932 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 31 × 31 × 131 × 193 × 193 × 439)See below for interesting mathematical facts about the number 428190627093008000 from the Numbermatics database.
Names of 428190627093008000
- Cardinal: 428190627093008000 can be written as Four hundred twenty-eight quadrillion, one hundred ninety trillion, six hundred twenty-seven billion, ninety-three million, eight thousand.
Scientific notation
- Scientific notation: 4.28190627093008 × 1017
Factors of 428190627093008000
Divisors of 428190627093008000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 64 65 80 100 104 124 125 128 130 131 155 160 193 200 208 248 250 260 262 310 320 325 386 400 403 416 439 496 500 520 524 620 640 650 655 772 775 800 806 832 878 961 965 992 1000 1040 1048 1240 1300 1310 1544 1550 1600 1612 1625 1664 1703 1756 1922 1930 1984 2000 2015 2080 2096 2195 2480 2509 2600 2620 3088 3100 3200 3224 3250 3275 3406 3512 3844 3860 3875 3968 4000 4030 4061 4160 4192 4390 4805 4825 4960 5018 5200 5240 5707 5983 6176 6200 6448 6500 6550 6812 7024 7688 7720 7750 8000 8060 8122 8320 8384 8515 8780 9610 9650 9920 10036 10075 10400 10480 10975 11414 11966 12352 12400 12493 12545 12896 13000 13100 13609 13624 14048 15376 15440 15500 16000 16120 16244 16375 16768 17030 17560 19220 19300 19840 20072 20150 20305 20800 20960 21950 22828 23932 24025 24125 24704 24800 24986 25090 25283 25792 26000 26200 27218 27248 28096 28535 29915 30752 30880 31000 32240 32488 32750 34060 35120 37249 38440 38600 40144 40300 40610 41600 41920 42575 43900 45656 47864 48050 48250 49600 49972 50180 50375 50566 51584 52000 52400 52793 54436 54496 54875 56192 57070 57509 59830 61504 61760 62000 62465 62725 64480 64976 65500 68045 68120 70240 74498 76880 77200 77779 80288 80600 81220 83840 84727 85150 87800 91312 95728 96100 96500 99200 99944 100360 100750 101132 101525 104000 104800 105586 108872 108992 109750 114140 115018 119660 120125 123008 123520 124000 124930 125450 125891 126415 128960 129952 131000 136090 136240 140480 142675 148996 149575 153760 154400 155558 160576 161200 162440 169454 170300 175600 176917 182624 185473 186245 191456 192200 193000 199888 200720 201500 202264 203050 208000 209600 211172 212875 217744 217984 219500 228280 230036 239320 240250 248000 249860 250900 251782 252830 257920 259904 262000 263965 272180 272480 280960 285350 287545 297992 299150 307520 308800 311116 312325 313625 321152 322400 324880 328679 338908 340225 340600 351200 353834 365248 370946 372490 382912 384400 386000 388895 399776 401440 403000 404528 406100 419200 421879 422344 423635 425750 435488 439000 456560 460072 478640 480500 484237 496000 499720 501800 503564 505660 507625 519808 524000 527930 544360 544960 570700 575090 595984 598300 615040 617600 622232 624650 627250 629455 632075 644800 649760 657358 677816 680450 681200 702400 707668 713375 730496 741892 744980 747617 747875 765824 768800 772000 777790 783773 799552 802880 806000 809056 812200 843758 844688 847270 851500 870976 878000 884585 913120 920144 927365 931225 957280 961000 968474 999440 1003600 1007128 1011320 1015250 1048000 1055860 1088720 1089920 1101451 1141400 1150180 1154719 1191968 1196600 1244464 1249300 1254500 1258910 1264150 1289600 1299520 1314716 1319825 1355632 1360900 1362400 1404800 1415336 1426750 1437725 1483784 1489960 1495234 1495750 1537600 1544000 1555580 1561625 1567546 1599104 1605760 1612000 1618112 1624400 1636583 1643395 1687516 1689376 1694540 1701125 1703000 1741952 1756000 1769170 1782779 1826240 1840288 1854730 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4689313859000 4876886413360 5028662678720 5053768304000 5107235533075 5271985066400 5312538797680 5333183378500 5505221552000 5546510713640 5569597126600 5747679496000 6096108016700 6285828348400 6292756662400 6537261482336 6589981333000 6640673497100 6826474724480 6854888771200 6906300436984 6933138392050 6961996408250 7156788017600 7445628112000 7502902174400 7620135020875 7803018261376 7857285435500 7865945828000 8110746256000 8171576852920 8234435136404 8300841871375 8467955288000 8500062076288 8533093405600 8568610964000 8632875546230 8874417141824 8911355402560 8945985022000 9378627718000 9753772826720 10057325357440 10214471066150 10293043920505 10543970132800 10625077595360 10666366757000 11093021427280 11139194253200 11495358992000 12192216033400 12571656696800 13074522964672 13179962666000 13281346994200 13812600873968 13866276784100 13923992816500 14313576035200 15005804348800 15240270041750 15714570871000 15731891656000 16343153705840 16468870272808 16601683742750 16935910576000 17066186811200 17137221928000 17265751092460 17332845980125 17748834283648 17822710805120 17891970044000 18757255436000 19507545653440 20428942132300 20586087841010 21087940265600 21250155190720 21332733514000 21582188865575 22186042854560 22278388506400 24384432066800 25143313393600 25536177665375 26149045929344 26359925332000 26562693988400 26761914193313 27625201747936 27732553568200 27847985633000 30480540083500 31429141742000 31463783312000 32686307411680 32937740545616 33203367485500 34132373622400 34274443856000 34531502184920 34665691960250 35783940088000 37514510872000 39015091306880 40857884264600 41172175682020 42500310381440 42665467028000 43164377731150 44372085709120 44556777012800 48768864133600 50286626787200 51072355330750 51465219602525 52719850664000 53125387976800 53523828386626 55250403495872 55465107136400 55695971266000 60961080167000 62858283484000 65372614823360 65875481091232 66406734971000 69063004369840 69331383920500 71567880176000 75029021744000 81715768529200 82344351364040 85330934056000 86328755462300 88744171418240 89113554025600 97537728267200 102144710661500 102930439205050 105439701328000 106250775953600 107047656773252 107910944327875 110500806991744 110930214272800 111391942532000 121922160334000 125716566968000 130745229646720 131750962182464 132813469942000 133809570966565 138126008739680 138662767841000 163431537058400 164688702728080 170661868112000 172657510924600 195075456534400 204289421323000 205860878410100 212501551907200 214095313546504 215821888655750 221860428545600 222783885064000 243844320668000 251433133936000 257326098012625 263501924364928 265626939884000 267619141933130 276252017479360 277325535682000 326863074116800 329377405456160 345315021849200 408578842646000 411721756820200 428190627093008 431643777311500 443720857091200 445567770128000 487688641336000 514652196025250 531253879768000 535238283866260 552504034958720 554651071364000 653726148233600 658754810912320 669047854832825 690630043698400 817157685292000 823443513640400 856381254186016 863287554623000 975377282672000 1029304392050500 1062507759536000 1070476567732520 1109302142728000 1317509621824640 1338095709665650 1381260087396800 1634315370584000 1646887027280800 1712762508372032 1726575109246000 2058608784101000 2140953135465040 2218604285456000 2676191419331300 2762520174793600 3268630741168000 3293774054561600 3345239274164125 3425525016744064 3453150218492000 4117217568202000 4281906270930080 5352382838662600 6587548109123200 6690478548328250 6906300436984000 8234435136404000 8563812541860160 10704765677325200 13380957096656500 13812600873968000 16468870272808000 17127625083720320 21409531354650400 26761914193313000 32937740545616000 42819062709300800 53523828386626000 85638125418601600 107047656773252000 214095313546504000 428190627093008000
- Sum of all divisors σ(n): 1202650146624326400
- Sum of proper divisors (its aliquot sum) s(n): 774459519531318400
- 428190627093008000 is an abundant number, because the sum of its proper divisors (774459519531318400) is greater than itself. Its abundance is 346268892438310400
Bases of 428190627093008000
- Binary: 101111100010011110100011011010100000000011111001110100000002
- Hexadecimal: 0x5F13D1B5007CE80
- Base-36: 3944WQI0T08W
Squares and roots of 428190627093008000
- 428190627093008000 squared (4281906270930080002) is 183347213130303436680682488064000000
- 428190627093008000 cubed (4281906270930080003) is 78507558166020018851379495390841092977856512000000000
-
The
square root of 428190627093008000 is 654362764.1400509885 -
The
cube root of 428190627093008000 is 753724.0716141157
Scales and comparisons
How big is 428190627093008000?- 428,190,627,093,008,000 seconds is equal to 13,615,137,460 years, 51 weeks, 1 day, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 428,190,627,093,008,000 would take you about forty billion, eight hundred forty-five million, four hundred twelve thousand, three hundred eighty-two 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 428190627093008000 cubic inches would be around 62810.3 feet tall.
Recreational maths with 428190627093008000
- 428190627093008000 backwards is 000800390726091824
- The number of decimal digits it has is: 18
- The sum of 428190627093008000's digits is 59
- More coming soon!
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"Number 428190627093008000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 428190627093008000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/428190627093008000/
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The information we have on file for 428190627093008000 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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