428828147987200
428,828,147,987,200 is an even composite number composed of seven prime numbers multiplied together.
428828147987200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428828147987200:
28 × 52 × 13 × 23 × 29 × 37 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 23 × 29 × 37 × 457 × 457)See below for interesting mathematical facts about the number 428828147987200 from the Numbermatics database.
Names of 428828147987200
- Cardinal: 428828147987200 can be written as Four hundred twenty-eight trillion, eight hundred twenty-eight billion, one hundred forty-seven million, nine hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.288281479872 × 1014
Factors of 428828147987200
Divisors of 428828147987200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 29 32 37 40 46 50 52 58 64 65 74 80 92 100 104 115 116 128 130 145 148 160 184 185 200 208 230 232 256 260 290 296 299 320 325 368 370 377 400 416 457 460 464 481 520 575 580 592 598 640 650 667 725 736 740 754 800 832 851 914 920 925 928 962 1040 1073 1150 1160 1184 1196 1280 1300 1334 1450 1472 1480 1495 1508 1600 1664 1702 1828 1840 1850 1856 1885 1924 2080 2146 2285 2300 2320 2368 2392 2405 2600 2668 2900 2944 2960 2990 3016 3200 3328 3335 3404 3656 3680 3700 3712 3770 3848 4160 4255 4292 4570 4600 4640 4736 4784 4810 5200 5336 5365 5800 5888 5920 5941 5980 6032 6400 6670 6808 7312 7360 7400 7424 7475 7540 7696 8320 8510 8584 8671 9140 9200 9280 9425 9472 9568 9620 10400 10511 10672 10730 11063 11425 11600 11840 11882 11960 12025 12064 13253 13340 13616 13949 14624 14720 14800 14950 15080 15392 16640 16675 16909 17020 17168 17342 18280 18400 18560 18850 19136 19240 20800 21022 21275 21344 21460 22126 22850 23200 23680 23764 23920 24050 24128 24679 26506 26680 26825 27232 27898 29248 29440 29600 29705 29900 30160 30784 33350 33818 34040 34336 34684 36560 36800 37120 37700 38272 38480 41600 42044 42550 42688 42920 43355 44252 45700 46400 47360 47528 47840 48100 48256 49358 52555 53012 53360 53650 54464 55315 55796 58496 59200 59410 59800 60320 61568 66265 66700 67636 68080 68672 69368 69745 73120 73600 75400 76544 76960 83200 84088 84545 85100 85376 85840 86710 88504 91400 92800 95056 95680 96200 96512 98716 105110 106024 106720 107300 108928 110630 111592 116992 118400 118820 119600 120640 123136 123395 132530 133400 135272 136160 136643 137344 138736 139490 146240 147200 148525 150800 153920 168176 169090 170200 170752 171680 172289 173420 177008 182800 185600 190112 191360 192400 197432 208849 210220 212048 213440 214600 216775 217856 219817 221260 223184 236800 237640 239200 241280 246790 262775 265060 266800 270544 272320 273286 274688 276575 277472 278980 292480 297050 301600 304819 307840 320827 331325 336352 338180 340400 343360 344578 346840 348725 354016 365600 380224 382720 384800 388907 394864 417698 420440 422725 424096 426880 429200 433550 439634 442520 446368 475280 478400 482560 490361 493580 525550 530120 533600 541088 544640 546572 553150 554944 557960 584960 594100 603200 609638 615680 616975 641654 662650 672704 676360 680800 683215 686720 689156 693680 697450 708032 731200 760448 769600 777814 789728 835396 840880 845450 848192 853760 858400 861445 867100 879268 885040 892736 950560 956800 980722 987160 1044245 1051100 1060240 1067200 1082176 1089280 1093144 1099085 1106300 1109888 1115920 1188200 1206400 1219276 1233950 1283308 1325300 1345408 1352720 1361600 1366430 1373440 1378312 1387360 1394900 1416064 1462400 1520896 1524095 1539200 1555628 1579456 1604135 1670792 1681760 1690900 1696384 1716800 1722890 1734200 1758536 1770080 1785472 1901120 1913600 1944535 1961444 1974320 2088490 2102200 2120480 2134400 2164352 2186288 2198170 2212600 2219776 2231840 2376400 2412800 2438552 2451805 2467900 2566616 2650600 2690816 2705440 2715037 2723200 2732860 2756624 2774720 2789800 2832128 2924800 3048190 3078400 3111256 3158912 3208270 3341584 3363520 3381800 3392768 3416075 3433600 3445780 3468400 3517072 3540160 3570944 3802240 3889070 3922888 3948640 3962647 4176980 4204400 4240960 4268800 4307225 4328704 4372576 4396340 4425200 4463680 4752800 4803527 4877104 4903610 4935800 5055791 5133232 5221225 5301200 5410880 5430074 5446400 5465720 5495425 5513248 5549440 5579600 6056621 6096380 6222512 6317824 6374693 6416540 6683168 6727040 6763600 6832150 6867200 6891560 6936800 7034144 7080320 7604480 7620475 7727413 7778140 7845776 7897280 7925294 8020675 8353960 8408800 8481920 8614450 8745152 8792680 8850400 8927360 9505600 9607054 9722675 9754208 9807220 9871600 10111582 10266464 10442450 10602400 10821760 10860148 10931440 10990850 11026496 11098880 11159200 11278303 12113242 12192760 12259025 12445024 12749386 12833080 13366336 13454080 13527200 13575185 13664300 13783120 13873600 14068288 14160640 15240950 15454826 15556280 15691552 15794560 15850588 16041350 16707920 16817600 16963840 17228900 17490304 17585360 17700800 17854720 19011200 19214108 19445350 19508416 19614440 19743200 19813235 20223164 20532928 20884900 21204800 21643520 21720296 21862880 21981700 22052992 22318400 22556606 24017635 24226484 24385520 24518050 24890048 25278955 25498772 25666160 26732672 27054400 27150370 27328600 27566240 27747200 28136576 30283105 30481900 30909652 31112560 31383104 31589120 31701176 31873465 32082700 33415840 33635200 34457800 34980608 35170720 35401600 38022400 38428216 38637065 38890700 39016832 39228880 39486400 39626470 40446328 41065856 41769800 42409600 43440592 43725760 43963400 44105984 44636800 45113212 48035270 48452968 48771040 49036100 49780096 50557910 50997544 51332320 53465344 54108800 54300740 54657200 55132480 55494400 56273152 56391515 60566210 60963800 61819304 62225120 62445851 62766208 63402352 63746930 64165400 66831680 67270400 67875925 68915600 70341440 70803200 76856432 77274130 77781400 78033664 78457760 78736073 78972800 79252940 80892656 82131712 83539600 84819200 86881184 87451520 87926800 89273600 90226424 96070540 96905936 97542080 98072200 99066175 99560192 100456369 101115820 101995088 102664640 108217600 108601480 109314400 110264960 112783030 120088175 121132420 121927600 123638608 124450240 124891702 125532416 126394775 126804704 127493860 128330800 133663360 135751850 137831200 139302283 140682880 146617939 151415525 153712864 154548260 155562800 156915520 157472146 157945600 158505880 159367325 161785312 167079200 173762368 174903040 175853600 177730499 180452848 192141080 193185325 193811872 195084160 196144400 198132350 200912738 202231640 203990176 205329280 217202960 218628800 220529920 224094977 225566060 240176350 242264840 243855200 247277216 248900480 249783404 252789550 253609408 254987720 256661600 267326720 271503700 275662400 278604566 281365760 281957575 293235878 302831050 307425728 309096520 311125600 312229255 313831040 314944292 317011760 318734650 323570624 334158400 347524736 351707200 355460998 360905696 384282160 386370650 387623744 390168320 392288800 393680365 396264700 401825476 404463280 407980352 410658560 434405920 437257600 448189954 451132120 480352700 484529680 487710400 494554432 497800960 499566808 502281845 505579100 507218816 509975440 513323200 543007400 551324800 557209132 563915150 586471756 605662100 614851456 618193040 622251200 624458510 627662080 629888584 634023520 637469300 647141248 668316800 695049472 696511415 703414400 710921996 721811392 733089695 768564320 772741300 775247488 784577600 787360730 792529400 803650952 808926560 815960704 868811840 874515200 888652495 896379908 902264240 960705400 969059360 975420800 989108864 999133616 1004563690 1011158200 1014437632 1019950880 1026646400 1086014800 1102649600 1114418264 1120474885 1127830300 1172943512 1211324200 1229702912 1236386080 1244502400 1248917020 1259777168 1268047040 1274938600 1294282496 1336633600 1393022830 1406828800 1421843992 1443622784 1466179390 1537128640 1545482600 1550494976 1561146275 1569155200 1574721460 1585058800 1607301904 1617853120 1631921408 1737623680 1777304990 1792759816 1804528480 1810929679 1921410800 1938118720 1950841600 1968401825 1978217728 1998267232 2009127380 2022316400 2039901760 2053292800 2172029600 2228836528 2240949770 2255660600 2310496487 2345887024 2422648400 2472772160 2489004800 2497834040 2511409225 2519554336 2536094080 2549877200 2786045660 2843687984 2887245568 2913234701 2932358780 3074257280 3090965200 3122292550 3138310400 3149442920 3170117600 3214603808 3235706240 3475247360 3482557075 3554609980 3585519632 3609056960 3621859358 3665448475 3842821600 3876237440 3936803650 3996534464 4018254760 4044632800 4079803520 4344059200 4443262475 4457673056 4481899540 4511321200 4620992974 4691774048 4845296800 4945544320 4995668080 5022818450 5039108672 5072188160 5099754400 5154184471 5572091320 5602374425 5687375968 5826469402 5864717560 6148514560 6181930400 6244585100 6298885840 6340235200 6429207616 6471412480 6965114150 7109219960 7171039264 7218113920 7243718716 7330896950 7685643200 7752474880 7873607300 7993068928 8036509520 8089265600 8159607040 8688118400 8886524950 8915346112 8963799080 9022642400 9054648395 9241985948 9383548096 9690593600 9891088640 9991336160 10045636900 10078217344 10199508800 10308368942 11144182640 11204748850 11374751936 11552482435 11652938804 11729435120 12363860800 12489170200 12597771680 12680470400 12858415232 13930228300 14218439920 14342078528 14436227840 14487437432 14566173505 14661793900 15371286400 15747214600 15986137856 16073019040 16178531200 17376236800 17773049900 17830692224 17927598160 18045284800 18109296790 18483971896 18767096192 19381187200 19982672320 20091273800 20156434688 20399017600 20616737884 22288365280 22409497700 22749503872 23104964870 23305877608 23458870240 24727721600 24978340400 25195543360 25360940800 25716830464 25770922355 27860456600 28436879840 28684157056 28974874864 29132347010 29323587800 30742572800 31494429200 32146038080 32357062400 35546099800 35661384448 35855196320 36090569600 36218593580 36967943792 37534192384 38762374400 39965344640 40182547600 40798035200 41233475768 44576730560 44818995400 45273241975 45499007744 46209929740 46611755216 46917740480 49455443200 49956680800 50391086720 51541844710 55720913200 56873759680 57368314112 57762412175 57949749728 58264694020 58647175600 62988858400 64292076160 67004398123 71092199600 71710392640 72181139200 72437187160 72830867525 73935887584 79930689280 80365095200 82466951536 89153461120 89637990800 90546483950 92419859480 93223510432 93835480960 99913361600 100782173440 103083689420 111441826400 113747519360 115524824350 115899499456 116529388040 117294351200 125977716800 128584152320 128854611775 134008796246 142184399200 143420785280 144874374320 145661735050 147871775168 160730190400 164933903072 178306922240 179275981600 181092967900 184839718960 186447020864 187670961920 199826723200 206167378840 222883652800 227495038720 231049648700 231798998912 233058776080 234588702400 251955433600 257709223550 268017592492 284368798400 286841570560 289748748640 291323470100 295743550336 321460380800 329867806144 335021990615 358551963200 362185935800 369679437920 372894041728 399653446400 412334757680 445767305600 462099297400 463597997824 466117552160 469177404800 503910867200 515418447100 536035184984 568737596800 579497497280 582646940200 591487100672 642920761600 659735612288 670043981230 717103926400 724371871600 739358875840 745788083456 824669515360 891534611200 924198594800 932235104320 938354809600 1030836894200 1072070369968 1137475193600 1158994994560 1165293880400 1319471224576 1340087962460 1434207852800 1448743743200 1478717751680 1649339030720 1675109953075 1848397189600 1864470208640 2061673788400 2144140739936 2317989989120 2330587760800 2680175924920 2897487486400 2957435503360 3298678061440 3350219906150 3696794379200 3728940417280 4123347576800 4288281479872 4661175521600 5360351849840 5794974972800 6597356122880 6700439812300 7393588758400 8246695153600 8576562959744 9322351043200 10720703699680 11589949945600 13400879624600 14787177516800 16493390307200 17153125919488 18644702086400 21441407399360 26801759249200 32986780614400 42882814798720 53603518498400 85765629597440 107207036996800 214414073993600 428828147987200
- Sum of all divisors σ(n): 1270019752908480
- Sum of proper divisors (its aliquot sum) s(n): 841191604921280
- 428828147987200 is an abundant number, because the sum of its proper divisors (841191604921280) is greater than itself. Its abundance is 412363456934080
Bases of 428828147987200
- Binary: 11000011000000100010101010110111000110011000000002
- Hexadecimal: 0x18604556E3300
- Base-36: 4808XJAOSG
Squares and roots of 428828147987200
- 428828147987200 squared (4288281479872002) is 183893580506131903411363840000
- 428828147987200 cubed (4288281479872003) is 78858743555179608953131549297702862848000000
-
The
square root of 428828147987200 is 20708166.2149790559 -
The
cube root of 428828147987200 is 75409.7952261195
Scales and comparisons
How big is 428828147987200?- 428,828,147,987,200 seconds is equal to 13,635,408 years, 33 weeks, 6 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,828,147,987,200 would take you about thirty-four million, eighty-eight thousand, five hundred twenty-one 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 428828147987200 cubic inches would be around 6284.1 feet tall.
Recreational maths with 428828147987200
- 428828147987200 backwards is 002789741828824
- The number of decimal digits it has is: 15
- The sum of 428828147987200's digits is 70
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428828147987200 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 428828147987200 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/428828147987200/
Chicago style:
Numbermatics. 2024. "Number 428828147987200 - Facts about the integer". https://numbermatics.com/n/428828147987200/
The information we have on file for 428828147987200 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!
Keywords: Divisors of 428828147987200, math, Factors of 428828147987200, curriculum, school, college, exams, university, Prime factorization of 428828147987200, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, eight hundred twenty-eight billion, one hundred forty-seven million, nine hundred eighty-seven thousand, two hundred.