428663348056125
428,663,348,056,125 is an odd composite number composed of six prime numbers multiplied together.
428663348056125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 428663348056125:
33 × 53 × 7 × 133 × 173 × 412
(3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 13 × 17 × 17 × 17 × 41 × 41)See below for interesting mathematical facts about the number 428663348056125 from the Numbermatics database.
Names of 428663348056125
- Cardinal: 428663348056125 can be written as Four hundred twenty-eight trillion, six hundred sixty-three billion, three hundred forty-eight million, fifty-six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.28663348056125 × 1014
Factors of 428663348056125
Divisors of 428663348056125
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 27 35 39 41 45 51 63 65 75 85 91 105 117 119 123 125 135 153 169 175 189 195 205 221 225 255 273 287 289 315 325 351 357 369 375 425 455 459 507 525 533 585 595 615 663 675 697 765 819 845 861 867 875 945 975 1025 1071 1105 1107 1125 1183 1275 1365 1435 1445 1521 1547 1575 1599 1625 1681 1755 1785 1845 1989 2023 2091 2125 2197 2275 2295 2457 2535 2583 2601 2625 2665 2873 2925 2975 3075 3213 3315 3375 3485 3549 3731 3757 3825 4095 4225 4305 4335 4563 4641 4725 4797 4875 4879 4913 5043 5125 5355 5525 5535 5915 5967 6069 6273 6375 6591 6825 6929 7175 7225 7605 7735 7749 7803 7875 7995 8405 8619 8775 8925 9061 9225 9945 10115 10455 10647 10985 11193 11271 11375 11475 11767 11849 12285 12675 12915 13005 13325 13923 14365 14391 14625 14637 14739 14875 15129 15375 15379 16065 16575 17425 17745 18207 18655 18785 18819 19125 19773 20111 20475 20787 21125 21525 21675 21853 22815 23205 23625 23985 24395 24565 25215 25857 26299 26775 27183 27625 27675 28577 29575 29835 30345 31365 31941 32955 33579 33813 34125 34391 34645 35301 35547 35875 36125 37349 38025 38675 38745 39015 39975 41769 42025 43095 43875 43911 44217 44625 45305 45387 46125 46137 48503 48841 49725 50575 52275 53235 54621 54925 55965 56355 57375 58835 59245 59319 60333 61425 62361 63375 63427 63869 64575 65025 65559 66625 69615 71825 71955 73185 73695 75645 76895 77571 78897 80325 81549 82875 82943 85731 87125 88725 90077 91035 93275 93925 94095 98865 100555 100737 101439 102375 103173 103935 105903 106641 107625 108375 109265 112047 114075 116025 117793 119925 121975 122825 126075 129285 131495 131733 132651 133875 135915 138375 138411 142885 145509 146523 147875 149175 151725 152971 154037 156825 159705 164775 167895 169065 171955 173225 176505 177735 180999 186745 187083 190125 190281 191607 193375 193725 195075 196677 199875 200039 201433 208845 210125 215475 219555 221085 226525 226935 230685 236691 242515 244205 244647 248625 248829 252875 257193 261375 261443 266175 270231 273105 274625 279825 281775 284089 294175 296225 296595 301665 307125 309519 311805 317135 317709 319345 319923 322875 325125 327795 336141 341887 348075 353379 359125 359775 365925 368475 371501 378225 384475 387855 394485 401625 407745 414715 415233 428655 436527 439569 443625 447083 450385 455175 458913 462111 466375 469625 470475 485809 494325 502775 503685 507195 515865 519675 529515 533205 542997 546325 560235 570375 570843 574821 580125 588965 590031 599625 600117 604299 609875 614125 630375 630539 634933 646425 657475 658665 663255 679575 692055 710073 714425 727545 732615 745875 746487 758625 764855 770185 771579 784125 784329 798525 810693 823875 824551 830297 839475 845325 852267 859775 866125 882525 888675 904995 928557 933725 935415 951405 958035 968625 975375 983385 1000195 1007165 1008423 1025661 1044225 1060137 1077375 1078259 1097775 1105425 1114503 1132625 1134675 1153425 1183455 1212575 1221025 1223235 1244145 1285965 1307215 1309581 1318707 1330875 1341249 1351155 1365525 1376739 1386333 1399125 1408875 1410031 1420445 1457427 1470875 1481125 1482975 1508325 1531309 1547595 1559025 1585675 1588545 1596725 1599615 1638975 1680705 1709435 1712529 1724463 1740375 1766895 1798875 1800351 1812897 1829625 1842375 1857505 1891125 1891617 1904799 1922375 1939275 1972425 1988623 2002481 2038725 2073575 2076165 2143275 2182635 2197845 2235415 2239461 2251925 2275875 2294565 2310555 2352375 2352987 2429045 2432079 2471625 2473653 2490891 2513875 2518425 2535975 2556801 2579325 2598375 2600507 2618629 2647575 2666025 2714985 2731625 2801175 2854215 2874105 2944825 2950155 3000585 3021495 3076983 3152695 3174665 3180411 3232125 3234777 3287375 3293325 3316275 3343509 3397875 3400663 3460275 3550365 3572125 3637725 3663075 3693157 3732435 3824275 3850925 3857895 3921645 3992625 4023747 4053465 4122755 4130217 4151485 4158999 4197375 4226625 4230093 4261335 4298875 4372281 4412625 4443375 4444531 4524975 4593927 4642785 4668625 4677075 4757025 4790175 4829513 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16173885 16466625 16581375 16717545 17003315 17024553 17143191 17301375 17436237 17751825 17897607 18022329 18188625 18315375 18330403 18465785 18662175 18946551 19121375 19254625 19289475 19608225 20118735 20267325 20613775 20651085 20757425 20794995 21150465 21306675 21861405 22222655 22262877 22418019 22624875 22969635 23213925 23385375 23404563 23567661 23785125 23950875 24147565 24584625 24776259 25004875 25179125 25210575 25641525 25852099 26032253 26503425 26956475 27005265 27193455 27862575 28374255 28571985 29060395 29112993 29586375 29829345 30037215 30580875 30605967 31103625 31577585 32149125 32157489 32381583 32680375 32739525 32967675 33238413 33531225 33778875 33806591 34042177 34418475 34658325 35250775 35294805 35511125 36435675 37104795 37363365 38070837 38282725 38352015 38689875 39007605 39279435 39713625 39990375 40000779 41293765 41345343 42017625 42052101 42735875 42813225 43111575 43465617 44172375 44208619 45008775 45322425 46154745 46437625 47290425 47619975 48521655 49715575 50062025 50152635 51009945 51904125 52308711 53595815 53692821 53969305 54066987 54565875 54946125 54991209 55397355 55885375 55986525 56839653 57364125 57763875 57811271 58824675 60356205 60726125 60801975 61841325 62272275 62783669 63451395 63920025 65012675 65465725 65584215 66667965 67874625 68908905 70086835 70213689 70702983 71355375 71852625 72442695 73753875 74328777 75014625 75537375 75557027 76924575 77556297 78096759 78817375 79366625 79510275 80869425 82101721 83587725 85016575 85122765 85715955 87181185 88759125 89488035 90111645 91652015 91817901 92328925 93310875 94732755 96447375 96472467 97144749 98041125 99715239 100593675 101336625 101419773 102126531 103068875 103255425 103787125 103974975 105752325 106533375 107363789 109307025 111113275 111314385 112090095 114848175 116069625 117022815 117838305 120002337 120737825 123881295 126052875 126156303 128207625 129260495 130161265 130396851 132517125 132625857 134782375 135026325 135967275 139312875 141871275 142859925 145301975 145564965 149146725 150186075 153029835 156926133 157887925 160787445 161907915 163697625 164838375 164973627 166192065 167656125 169032955 170210885 170518959 172092375 173291625 173433813 176253875 176474025 182178375 182225771 185523975 186816825 188351007 190354185 191413625 191760075 195038025 196397175 200003895 206468825 206726715 210260505 214066125 215557875 217328085 221043095 222986331 225043875 226612125 226671081 230773725 232668891 234290277 236452125 238099875 238295239 242608275 246305163 248577875 250310125 250763175 255049725 261543555 267979075 268464105 269846525 270334935 274956045 276986775 279932625 284198265 289056355 289417401 291434247 294123375 301781025 304009875 304259319 306379593 309206625 311361375 313918345 317256975 319600125 322091367 325063375 327328625 327921075 333339825 344544525 350434175 351068445 353514915 362213475 371643885 377785135 378468909 384622875 387781485 390483795 397551375 397877571 404347125 410508605 417938625 425082875 425613825 428579775 435905925 439485683 442548301 447440175 450558225 458260075 459089505 461644625 473663775 482362335 485723745 494920881 498576195 502968375 507098865 510632655 516277125 519874875 520301439 528761625 536818945 546535125 546677313 555566375 556571925 560450475 565053021 574240875 574712047 585114075 589191525 600011685 603689125 619406475 630781515 646302475 650806325 651984255 663129285 675131625 679836375 680013243 698006673 702870831 709356375 714299625 714885717 726509875 727824825 738915489 745733625 750930375 751546523 765149175 784630665 789439625 803937225 809539575 824868135 830960325 845164775 851054425 852594795 867169065 882370125 911128855 912777957 919138779 927619875 934084125 941755035 951770925 958800375 966274101 975190125 981985875 1000019475 1032344125 1033633575 1051302525 1067322373 1086640425 1105215475 1114931655 1133355405 1153868625 1163344455 1171451385 1191476195 1193632713 1213041375 1231525815 1253815875 1275248625 1307717775 1318457049 1327644903 1339895375 1342320525 1349232625 1351674675 1374780225 1384933875 1395729257 1420991325 1445281775 1447087005 1457171235 1508905125 1521296595 1531897965 1560904317 1569591725 1586284875 1610456835 1639605375 1640031939 1666699125 1695159063 1722722625 1724136141 1752170875 1755342225 1767574575 1811067375 1858219425 1888925675 1892344545 1938907425 1952418975 1989387855 2040039729 2052543025 2128069125 2142898875 2144657151 2179529625 2197428415 2212741505 2216746467 2237200875 2252791125 2254639569 2291300375 2295447525 2368318875 2411811675 2428618725 2474604405 2492880975 2535494325 2553163275 2601507195 2684094725 2733386565 2782859625 2802252375 2825265105 2873560235 2898822303 2925570375 2945957625 3000058425 3097032375 3097838107 3153907575 3201967119 3231512375 3254031625 3259921275 3315646425 3400066215 3490033365 3514354155 3574428585 3639124125 3694577445 3757732615 3825745875 3923153325 3955371147 3982934709 4019686125 4047697875 4124340675 4154801625 4187187771 4225823875 4255272125 4262973975 4335845325 4555644275 4563889785 4595693895 4708775175 4758854625 4831370505 4920095817 5000097375 5168167875 5172408423 5256512625 5336611865 5433202125 5526077375 5574658275 5666777025 5816722275 5857256925 5957380975 5968163565 6157629075 6433971453 6538588875 6592285245 6638224515 6711602625 6758373375 6763918707 6873901125 6978646285 7104956625 7226408875 7235435025 7285856175 7471256611 7606482975 7659489825 7804521585 7847958625 8052284175 8200159695 8475795315 8620680705 8776711125 8837872875 9291097125 9293514321 9444628375 9461722725 9605901357 9694537125 9762094875 9770104799 9946939275 10200198645 10262715125 10723285755 10987142075 11063707525 11083732335 11273197845 11477237625 11866113441 11948804127 12059058375 12143093625 12373022025 12464404875 12561563313 12677471625 12765816375 13007535975 13420473625 13666932825 14126325525 14367801175 14494111515 15000292125 15489190535 15517225269 15769537875 16009835595 16299606375 16578232125 17000331075 17450166825 17571770775 17872142925 18144480341 18472887225 18788663075 19615766625 19776855735 19914673545 20291756121 20621703375 20935938855 21314869875 21679226625 22413769833 22778221375 22819448925 22978469475 23543875875 24156852525 24600479085 25862042115 26683059325 27873291375 27880542963 28333885125 28817704071 29083611375 29286284625 29310314397 29786904875 29840817825 30788145375 32169857265 32961426225 33191122575 33819593535 34893231425 36177175125 36429280875 37356283055 37684689939 38032414875 38297449125 39022607925 40261420875 41000798475 42378976575 43103403525 46467571605 47308613625 48029506785 48850523995 49734696375 51000993225 53616428775 54433441023 54935710375 55318537625 55418661675 56365989225 59330567205 59744020635 61865110125 62807816565 65037679875 67241309499 68334664125 70631627625 71839005875 72470557575 77445952675 77586126345 80049177975 83641628889 85001655375 87250834125 87858853875 87930943191 89360714625 90722401705 92364436125 93943315375 98884278675 99573367725 101458780605 104679694275 112068849165 114097244625 114892347375 120784262625 123002395425 127011362387 129310210575 133415296625 139402714815 144088520355 146551571985 149204089125 160849286325 163300323069 164807131125 165955612875 169097967675 174466157125 186781415275 188423449695 195113039625 201723928497 205003992375 211894882875 215517017625 232337858025 240147533925 244252619975 255004966125 263792829573 268082143875 272167205115 277093308375 281829946125 296652836025 298720103175 314039082825 336206547495 362352787875 381034087161 387229763375 387930631725 400245889875 418208144445 439654715955 453612008525 489900969207 494421393375 497866838625 507293903025 523398471375 560344245825 615011977125 635056811935 646551052875 697013574075 720442601775 732757859925 804246431625 816501615345 845489838375 933907076375 942117248475 1008619642485 1143102261483 1161689290125 1200737669625 1221263099875 1318964147865 1360836025575 1483264180125 1493600515875 1570195414125 1681032737475 1905170435805 1939653158625 2091040722225 2198273579775 2268060042625 2449504846035 2536469515125 2801721229125 3175284059675 3429306784449 3485067870375 3602213008875 3663789299625 4082508076725 4710586242375 5043098212425 5715511307415 6594820739325 6804180127875 8405163687375 9525852179025 10455203611125 10991367898875 12247524230175 15876420298375 17146533922245 20412540383625 25215491062125 28577556537075 32974103696625 47629260895125 61237621150875 85732669611225 142887782685375 428663348056125
- Sum of all divisors σ(n): 1068580670976000
- Sum of proper divisors (its aliquot sum) s(n): 639917322919875
- 428663348056125 is an abundant number, because the sum of its proper divisors (639917322919875) is greater than itself. Its abundance is 211253974863750
Bases of 428663348056125
- Binary: 11000010111011101111101101001011011010000001111012
- Hexadecimal: 0x185DDF696D03D
- Base-36: 47Y581O859
Squares and roots of 428663348056125
- 428663348056125 squared (4286633480561252) is 183752265966686564816150015625
- 428663348056125 cubed (4286633480561253) is 78767861542179415268090153618371232126953125
-
The
square root of 428663348056125 is 20704186.7277158463 -
The
cube root of 428663348056125 is 75400.1339189555
Scales and comparisons
How big is 428663348056125?- 428,663,348,056,125 seconds is equal to 13,630,168 years, 27 weeks, 2 days, 5 hours, 48 minutes, 45 seconds.
-
To count from 1 to 428,663,348,056,125 would take you about thirty-four million, seventy-five thousand, four 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 428663348056125 cubic inches would be around 6283.3 feet tall.
Recreational maths with 428663348056125
- 428663348056125 backwards is 521650843366824
- 428663348056125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428663348056125's digits is 63
- More coming soon!
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"Number 428663348056125 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 428663348056125 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/428663348056125/
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The information we have on file for 428663348056125 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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