428683022996800
428,683,022,996,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 428683022996800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1134 divisors.
428683022996800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 428683022996800:
26 × 52 × 112 × 13 × 312 × 4212
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 31 × 31 × 421 × 421)See below for interesting mathematical facts about the number 428683022996800 from the Numbermatics database.
Names of 428683022996800
- Cardinal: 428683022996800 can be written as Four hundred twenty-eight trillion, six hundred eighty-three billion, twenty-two million, nine hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.286830229968 × 1014
Factors of 428683022996800
Divisors of 428683022996800
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 40 44 50 52 55 62 64 65 80 88 100 104 110 121 124 130 143 155 160 176 200 208 220 242 248 260 275 286 310 320 325 341 352 400 403 416 421 440 484 496 520 550 572 605 620 650 682 704 715 775 800 806 832 842 880 961 968 992 1040 1100 1144 1210 1240 1300 1364 1430 1550 1573 1600 1612 1684 1705 1760 1922 1936 1984 2015 2080 2105 2200 2288 2420 2480 2600 2728 2860 3025 3100 3146 3224 3368 3410 3520 3575 3751 3844 3872 4030 4160 4210 4400 4433 4576 4631 4805 4840 4960 5200 5456 5473 5720 6050 6200 6292 6448 6736 6820 7150 7502 7688 7744 7865 8060 8420 8525 8800 8866 9152 9262 9610 9680 9920 10075 10400 10525 10571 10912 10946 11440 12100 12400 12493 12584 12896 13051 13472 13640 14300 15004 15376 15730 16120 16840 17050 17600 17732 18524 18755 19220 19360 20150 20800 21050 21142 21824 21892 22165 22880 23155 24025 24200 24800 24986 25168 25792 26102 26944 27280 27365 28600 30008 30752 31460 32240 33680 34100 35464 37048 37510 38440 38720 39325 40300 42100 42284 43784 44330 45760 46310 48050 48400 48763 49600 49972 50336 50941 52204 52855 54560 54730 57200 60016 60203 61504 62465 62920 64480 65255 67360 68200 70928 74096 75020 76880 78650 80600 84200 84568 87568 88660 92620 93775 96100 96800 97526 99944 100672 101882 104408 105710 109120 109460 110825 114400 115775 116281 120032 120406 124930 125840 128960 130510 134720 136400 136825 137423 141856 143561 148192 150040 153760 157300 161200 168400 169136 169663 175136 177241 177320 185240 187550 192200 193600 195052 199888 203764 208816 211420 218920 221650 228800 231550 232562 240064 240812 243815 249860 251680 254705 261020 264275 272800 273650 274846 283712 287122 296384 300080 301015 307520 312325 314600 322400 326275 336800 338272 339326 350272 354482 354640 370480 375100 384400 390104 399776 404581 407528 417632 422840 437840 443300 463100 465124 481624 487630 499720 503360 509410 522040 528550 545600 547300 549692 574244 581405 600160 602030 624650 629200 644800 652550 662233 673600 676544 678652 687115 708964 709280 717805 740960 750200 768800 780208 799552 809162 815056 835264 845680 848315 875680 886205 886600 926200 930248 963248 975260 999440 1018820 1044080 1057100 1094600 1099384 1148488 1162810 1200320 1204060 1219075 1249300 1258400 1273525 1305100 1324466 1357304 1374230 1417928 1418560 1435610 1481920 1500400 1505075 1511653 1537600 1560416 1579171 1618324 1630112 1691360 1696630 1751360 1772410 1773200 1852400 1860496 1866293 1926496 1949651 1950520 1998880 2022905 2037640 2088160 2114200 2189200 2198768 2296976 2304133 2325620 2408120 2438150 2498600 2516800 2547050 2610200 2648932 2714608 2748460 2835856 2871220 2907025 3000800 3010150 3023306 3120832 3158342 3236648 3260224 3311165 3382720 3393260 3435575 3544820 3546400 3589025 3704800 3720992 3732586 3852992 3899302 3901040 3997760 4045810 4075280 4176320 4228400 4241575 4378400 4397536 4431025 4450391 4593952 4608266 4651240 4816240 4876300 4997200 5094100 5220400 5259553 5297864 5429216 5494471 5496920 5671712 5742440 5814050 6001600 6020300 6046612 6316684 6473296 6622330 6786520 6871150 7089640 7092800 7178050 7409600 7441984 7465172 7558265 7798604 7802080 7895855 8091620 8150560 8456800 8483150 8756800 8795072 8862050 8900782 9187904 9216532 9302480 9331465 9632480 9748255 9752600 9994400 10114525 10188200 10440800 10519106 10595728 10858432 10988942 10993840 11343424 11484880 11520665 11628100 12040600 12093224 12633368 12946592 13244660 13573040 13742300 14179280 14356100 14930344 15116530 15597208 15604160 15791710 16183240 16301120 16555825 16913600 16966300 17724100 17801564 18433064 18604960 18662930 19264960 19496510 19505200 19988800 20229050 20376400 20529223 20881600 21038212 21191456 21446161 21977884 21987680 22251955 22969760 23041330 23256200 24081200 24186448 25266736 25345463 25893184 26297765 26489320 27146080 27472355 27484600 28358560 28712200 29860688 30233060 31194416 31583420 32366480 33111650 33932600 35448200 35603128 36866128 37209920 37325860 37791325 38993020 39010400 39479275 40458100 40752800 41058446 42076424 42382912 42892322 43955768 43975360 44503910 45939520 46082660 46512400 46657325 48162400 48372896 48741275 48954301 50533472 50690926 52595530 52978640 54292160 54944710 54969200 56717120 57424400 57603325 57855083 59721376 60439181 60466120 62388832 63166840 64732960 66223300 67865200 70896400 71206256 71428123 73732256 74651720 75582650 77986040 78020800 78958550 80916200 81505600 82116892 84152848 85784644 87911536 89007820 92165320 93024800 93314650 96324800 96745792 97482550 97908602 101066944 101381852 102646115 105191060 105957280 107230805 109889420 109938400 111259775 114848800 115206650 115710166 119442752 120878362 120932240 124777664 126333680 126727315 129465920 131488825 132446600 135730400 137361775 141792800 142412512 142856246 147464512 149303440 151165300 155972080 157917100 161832400 164233784 168305696 170328601 171569288 175823072 178015640 184330640 186049600 186629300 194965100 195817204 202763704 205292230 210382120 211914560 214461610 219778840 219876800 222519550 229697600 230413300 231420332 241756724 241864480 244771505 252667360 253454630 262977650 264893200 271460800 274723550 278800093 283585600 284825024 285712492 289275415 298606880 302195905 302330600 311944160 315834200 323664800 328467568 336611392 340657202 343138576 351646144 356031280 357140615 368661280 373258600 389930200 391634408 405527408 410584460 420764240 428923220 439557680 445039100 460826600 462840664 483513448 483728960 489543010 505334720 506909260 513230575 525955300 529786400 536154025 549447100 557600186 571424984 578550830 597213760 604391810 604661200 623888320 631668400 633636575 636405913 647329600 656935136 664830991 681314404 686277152 712062560 714281230 737322560 746517200 779860400 783268816 785709353 811054816 821168920 841528480 851643005 857846440 879115360 890078200 921653200 925681328 967026896 979086020 1013818520 1026461150 1051910600 1059572800 1072308050 1098894200 1115200372 1142849968 1157101660 1208783620 1209322400 1223857525 1263336800 1267273150 1272811826 1313870272 1329661982 1362628808 1372554304 1394000465 1424125120 1428562460 1446377075 1493034400 1510979525 1559720800 1566537632 1571418706 1622109632 1642337840 1683056960 1703286010 1715692880 1758230720 1780156400 1785703075 1843306400 1851362656 1873614611 1934053792 1958172040 2027637040 2052922300 2103821200 2144616100 2197788400 2214271813 2230400744 2285699936 2314203320 2417567240 2418644800 2447715050 2526673600 2534546300 2545623652 2659323964 2725257616 2788000930 2857124920 2892754150 2986068800 3021959050 3119441600 3133075264 3142837412 3182029565 3284675680 3324154955 3406572020 3431385760 3560312800 3571406150 3686612800 3702725312 3747229222 3868107584 3916344080 3928546765 4055274080 4105844600 4207642400 4258215025 4289232200 4395576800 4428543626 4460801488 4571399872 4628406640 4835134480 4895430100 5069092600 5091247304 5318647928 5450515232 5576001860 5714249840 5785508300 6043918100 6285674824 6364059130 6569351360 6648309910 6813144040 6862771520 6970002325 7120625600 7142812300 7494458444 7832688160 7857093530 8110548160 8211689200 8415284800 8516430050 8578464400 8642802883 8791153600 8857087252 8921602976 9256813280 9368073055 9670268960 9790860200 10138185200 10182494608 10637295856 10901030464 11071359065 11152003720 11428499680 11571016600 12087836200 12571349648 12728118260 13296619820 13626288080 13940004650 14285624600 14988916888 15665376320 15714187060 15910147825 16423378400 16620774775 17032860100 17156928800 17285605766 17714174504 17843205952 18513626560 18736146110 19340537920 19581720400 19642733825 20276370400 20364989216 20609760721 21274591712 22142718130 22304007440 22856999360 23142033200 24175672400 24356989943 25142699296 25456236520 26593239640 27252576160 27880009300 28571249200 29977833776 31428374120 31820295650 32846756800 33241549550 34065720200 34313857600 34571211532 35428349008 37472292220 39163440800 39285467650 40552740800 40729978432 41219521442 42549183424 43214014415 44285436260 44608014880 46284066400 46840365275 48351344800 48713979886 50285398592 50912473040 53186479280 54505152320 55356795325 55760018600 57142498400 59955667552 62856748240 63640591300 66483099100 68131440400 69142423064 70856698016 74944584440 78326881600 78570935300 82439042884 86428028830 88570872520 89216029760 92568132800 93680730550 96702689600 97427959772 101824946080 103048803605 106372958560 110713590650 111520037200 114284996800 119911335104 121784949715 125713496480 127281182600 132966198200 136262880800 138284846128 141713396032 149889168880 157141870600 164878085768 172856057660 177141745040 187361461100 194855919544 203649892160 206097607210 212745917120 216070072075 221427181300 223040074400 243569899430 251426992960 254562365200 265932396400 267926889373 272525761600 276569692256 299778337760 314283741200 329756171536 345712115320 354283490080 374722922200 389711839088 412195214420 432140144150 442854362600 446080148800 487139798860 509124730400 515244018025 531864792800 535853778746 553139384512 599556675520 608924748575 628567482400 659512343072 691424230640 708566980160 749445844400 779423678176 824390428840 864280288300 885708725200 974279597720 1018249460800 1030488036050 1063729585600 1071707557492 1217849497150 1257134964800 1319024686144 1339634446865 1382848461280 1498891688800 1558847356352 1648780857680 1728560576600 1771417450400 1948559195440 2060976072100 2143415114984 2435698994300 2679268893730 2765696922560 2997783377600 3297561715360 3457121153200 3542834900800 3897118390880 4121952144200 4286830229968 4871397988600 5358537787460 6595123430720 6698172234325 6914242306400 7794236781760 8243904288400 8573660459936 9742795977200 10717075574920 13396344468650 13828484612800 16487808576800 17147320919872 19485591954400 21434151149840 26792688937300 32975617153600 38971183908800 42868302299680 53585377874600 85736604599360 107170755749200 214341511498400 428683022996800
- Sum of all divisors σ(n): 1293276336505146
- Sum of proper divisors (its aliquot sum) s(n): 864593313508346
- 428683022996800 is an abundant number, because the sum of its proper divisors (864593313508346) is greater than itself. Its abundance is 435910290511546
Bases of 428683022996800
- Binary: 11000010111100010100010110100111010010101010000002
- Hexadecimal: 0x185E28B4E9540
- Base-36: 47YE9FMHJ4
Squares and roots of 428683022996800
- 428683022996800 squared (4286830229968002) is 183769134205674957652810240000
- 428683022996800 cubed (4286830229968003) is 78778707984793383372545518264066527232000000
-
The
square root of 428683022996800 is 20704661.8662754307 -
The
cube root of 428683022996800 is 75401.2874819029
Scales and comparisons
How big is 428683022996800?- 428,683,022,996,800 seconds is equal to 13,630,794 years, 6 weeks, 4 days, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,683,022,996,800 would take you about thirty-four million, seventy-six thousand, nine hundred eighty-five 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 428683022996800 cubic inches would be around 6283.4 feet tall.
Recreational maths with 428683022996800
- 428683022996800 backwards is 008699220386824
- The number of decimal digits it has is: 15
- The sum of 428683022996800's digits is 67
- 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 428683022996800 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 428683022996800 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/428683022996800/
Chicago style:
Numbermatics. 2024. "Number 428683022996800 - Facts about the integer". https://numbermatics.com/n/428683022996800/
The information we have on file for 428683022996800 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 428683022996800, math, Factors of 428683022996800, curriculum, school, college, exams, university, Prime factorization of 428683022996800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, six hundred eighty-three billion, twenty-two million, nine hundred ninety-six thousand, eight hundred.