428143408376723200
428,143,408,376,723,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 428143408376723200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
428143408376723200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 428143408376723200:
28 × 52 × 73 × 4212 × 10492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 421 × 421 × 1049 × 1049)See below for interesting mathematical facts about the number 428143408376723200 from the Numbermatics database.
Names of 428143408376723200
- Cardinal: 428143408376723200 can be written as Four hundred twenty-eight quadrillion, one hundred forty-three trillion, four hundred eight billion, three hundred seventy-six million, seven hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.281434083767232 × 1017
Factors of 428143408376723200
Divisors of 428143408376723200
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 343 350 392 400 421 448 490 560 640 686 700 784 800 842 896 980 1049 1120 1225 1280 1372 1400 1568 1600 1684 1715 1792 1960 2098 2105 2240 2450 2744 2800 2947 3136 3200 3368 3430 3920 4196 4210 4480 4900 5245 5488 5600 5894 6272 6400 6736 6860 7343 7840 8392 8420 8575 8960 9800 10490 10525 10976 11200 11788 12544 13472 13720 14686 14735 15680 16784 16840 17150 19600 20629 20980 21050 21952 22400 23576 26225 26944 27440 29372 29470 31360 33568 33680 34300 36715 39200 41258 41960 42100 43904 44800 47152 51401 52450 53888 54880 58744 58940 62720 67136 67360 68600 73430 73675 78400 82516 83920 84200 87808 94304 102802 103145 104900 107776 109760 117488 117880 134272 134720 137200 144403 146860 147350 156800 165032 167840 168400 177241 183575 188608 205604 206290 209800 219520 234976 235760 257005 268544 269440 274400 288806 293720 294700 313600 330064 335680 336800 354482 359807 367150 377216 411208 412580 419600 439040 441629 469952 471520 514010 515725 538880 548800 577612 587440 589400 660128 671360 673600 708964 719614 722015 734300 754432 822416 825160 839200 883258 886205 939904 943040 1028020 1031450 1097600 1100401 1155224 1174880 1178800 1240687 1285025 1320256 1342720 1347200 1417928 1439228 1444030 1468600 1644832 1650320 1678400 1766516 1772410 1799035 1879808 1886080 2056040 2062900 2195200 2200802 2208145 2310448 2349760 2357600 2481374 2570050 2640512 2694400 2835856 2878456 2888060 2937200 3091403 3289664 3300640 3356800 3533032 3544820 3598070 3610075 3772160 4112080 4125800 4401604 4416290 4431025 4620896 4699520 4715200 4962748 5140100 5281024 5502005 5671712 5756912 5776120 5874400 6182806 6203435 6579328 6601280 6713600 7066064 7089640 7196140 7220150 7702807 8224160 8251600 8684809 8803208 8832580 8862050 8995175 9241792 9399040 9430400 9925496 10280200 11004010 11040725 11343424 11513824 11552240 11748800 12365612 12406870 13158656 13202560 14132128 14179280 14392280 14440300 15405614 15457015 16448320 16503200 17369618 17606416 17665160 17724100 17990350 18483584 18860800 19850992 20560400 21639821 22008020 22081450 22686848 23027648 23104480 23497600 24731224 24813740 26405120 27510025 28264256 28358560 28784560 28880600 30811228 30914030 31017175 32896640 33006400 34739236 35212832 35330320 35448200 35980700 36967168 38514035 39701984 41120800 43279642 43424045 44016040 44162900 45373696 46055296 46208960 46995200 49462448 49627480 53919649 55020050 56528512 56717120 57569120 57761200 60793663 61622456 61828060 62034350 65793280 66012800 69478472 70425664 70660640 70896400 71961400 77028070 77285075 79403968 82241600 86559284 86848090 88032080 88325800 92110592 92417920 98924896 99254960 107839298 108199105 110040100 113057024 113434240 115138240 115522400 121587326 123244912 123656120 124068700 132025600 138956944 140851328 141321280 141792800 143922800 151478747 154056140 154570150 158807936 164483200 173118568 173696180 176064160 176651600 184835840 185925809 192570175 197849792 198509920 215678596 216398210 217120225 220080200 226868480 230276480 231044800 243174652 246489824 247312240 248137400 269598245 277913888 281702656 282642560 283585600 287845600 302957494 303968315 308112280 309140300 317615872 328966400 346237136 347392360 352128320 353303200 371851618 377437543 385140350 395699584 397019840 431357192 432796420 434240450 440160400 460552960 462089600 463268821 486349304 492979648 494624480 496274800 539196490 540995525 555827776 565285120 567171200 575691200 605914988 607936630 616224560 618280600 692474272 694784720 704256640 706606400 743703236 754875086 757393735 770280700 791399168 794039680 862714384 865592840 868480900 880320800 924179200 926537642 929629045 972698608 985959296 989248960 992549600 1078392980 1081991050 1111655552 1134342400 1151382400 1211829976 1215873260 1232449120 1236561200 1301480663 1347991225 1384948544 1389569440 1408513280 1413212800 1487406472 1509750172 1514787470 1519841575 1540561400 1588079360 1725428768 1731185680 1736961800 1760641600 1853075284 1859258090 1887187715 1945397216 1971918592 1978497920 1985099200 2156785960 2163982100 2223311104 2302764800 2316344105 2423659952 2431746520 2464898240 2473122400 2602961326 2695982450 2769897088 2779138880 2826425600 2974812944 3019500344 3029574940 3039683150 3081122800 3242881747 3450857536 3462371360 3473923600 3521283200 3706150568 3718516180 3774375430 3786968675 3890794432 3956995840 3970198400 4313571920 4327964200 4632688210 4648145225 4847319904 4863493040 4929796480 4946244800 5205922652 5391964900 5539794176 5558277760 5949625888 6039000688 6059149880 6079366300 6162245600 6485763494 6507403315 6901715072 6924742720 6947847200 7042566400 7412301136 7437032360 7548750860 7573937350 7781588864 7940396800 8627143840 8655928400 9110364641 9265376420 9296290450 9435938575 9694639808 9726986080 9859592960 9892489600 10411845304 10783929800 11116555520 11581720525 11899251776 12078001376 12118299760 12158732600 12324491200 12971526988 13014806630 13803430144 13849485440 13895694400 14824602272 14874064720 15097501720 15147874700 15563177728 16214408735 17254287680 17311856800 18220729282 18530752840 18592580900 18871877150 19389279616 19453972160 19784979200 20823690608 21567859600 22700172229 23163441050 23798503552 24156002752 24236599520 24317465200 24648982400 25943053976 26029613260 27698970880 27791388800 29649204544 29748129440 30195003440 30295749400 32428817470 32537016575 34508575360 34623713600 36441458564 37061505680 37185161800 37743754300 38778559232 38907944320 41647381216 43135719200 45400344458 45551823205 46326882100 47597007104 48312005504 48473199040 48634930400 49297964800 51886107952 52059226520 55582777600 59298409088 59496258880 60390006880 60591498800 63772552487 64857634940 65074033150 69017150720 69247427200 72882917128 74123011360 74370323600 75487508600 77815888640 81072043675 83294762432 86271438400 90800688916 91103646410 92653764200 96624011008 96946398080 97269860800 103772215904 104118453040 113500861145 118596818176 118992517760 120780013760 121182997600 127545104974 129715269880 130148066300 138494854400 145765834256 148246022720 148740647200 150975017200 158901205603 162144087350 166589524864 172542876800 181601377832 182207292820 185307528400 193892796160 194539721600 195036173641 207544431808 208236906080 227001722290 227759116025 237985035520 241560027520 242365995200 255090209948 259430539760 260296132600 291531668512 296492045440 297481294400 301950034400 317802411206 318862762435 324288174700 333179049728 345085753600 363202755664 364414585640 370615056800 389079443200 390072347282 415088863616 416473812160 454003444580 455518232050 483120055040 484731990400 510180419896 518861079520 520592265200 567504305725 583063337024 592984090880 594962588800 603900068800 635604822412 637725524870 648576349400 726405511328 728829171280 741230113600 780144694564 794506028015 830177727232 832947624320 908006889160 911036464100 969463980800 975180868205 1020360839792 1037722159040 1041184530400 1135008611450 1166126674048 1189925177600 1207800137600 1271209644824 1275451049740 1297152698800 1365253215487 1452811022656 1457658342560 1482460227200 1560289389128 1589012056030 1594313812175 1665895248640 1816013778320 1822072928200 1950361736410 2040721679584 2075444318080 2082369060800 2270017222900 2332253348096 2415600275200 2542419289648 2550902099480 2594305397600 2730506430974 2905622045312 2915316685120 2964920454400 3120578778256 3178024112060 3188627624350 3632027556640 3644145856400 3900723472820 3972530140075 4081443359168 4150888636160 4164738121600 4540034445800 4875904341025 5084838579296 5101804198960 5188610795200 5461012861948 5811244090624 5830633370240 6241157556512 6356048224120 6377255248700 6826266077435 7264055113280 7288291712800 7801446945640 7945060280150 8162886718336 8329476243200 9080068891600 9556772508409 9751808682050 10169677158592 10203608397920 10377221590400 10922025723896 11661266740480 12482315113024 12712096448240 12754510497400 13652532154870 14528110226560 14576583425600 15602893891280 15890120560300 16325773436672 18160137783200 19113545016818 19503617364100 20339354317184 20407216795840 20754443180800 21844051447792 24964630226048 25424192896480 25509020994800 27305064309740 29056220453120 29153166851200 31205787782560 31780241120600 34131330387175 36320275566400 38227090033636 39007234728200 40678708634368 40814433591680 43688102895584 47783862542045 49929260452096 50848385792960 51018041989600 54610128619480 58306333702400 62411575565120 63560482241200 66897407558863 68262660774350 72640551132800 76454180067272 78014469456400 81628867183360 87376205791168 95567725084090 101696771585920 102036083979200 109220257238960 124823151130240 127120964482400 133794815117726 136525321548700 145281102265600 152908360134544 156028938912800 174752411582336 191135450168180 203393543171840 204072167958400 218440514477920 238919312710225 249646302260480 254241928964800 267589630235452 273050643097400 305816720269088 312057877825600 334487037794315 349504823164672 382270900336360 408144335916800 436881028955840 477838625420450 508483857929600 535179260470904 546101286194800 611633440538176 624115755651200 668974075588630 764541800672720 873762057911680 955677250840900 1016967715859200 1070358520941808 1092202572389600 1223266881076352 1248231511302400 1337948151177260 1529083601345440 1672435188971575 1747524115823360 1911354501681800 2140717041883616 2184405144779200 2446533762152704 2675896302354520 3058167202690880 3344870377943150 3822709003363600 4281434083767232 4368810289558400 5351792604709040 6116334405381760 6689740755886300 7645418006727200 8562868167534464 8737620579116800 10703585209418080 12232668810763520 13379481511772600 15290836013454400 17125736335068928 21407170418836160 26758963023545200 30581672026908800 42814340837672320 53517926047090400 61163344053817600 85628681675344640 107035852094180800 214071704188361600 428143408376723200
- Sum of all divisors σ(n): 1239951670821973200
- Sum of proper divisors (its aliquot sum) s(n): 811808262445250000
- 428143408376723200 is an abundant number, because the sum of its proper divisors (811808262445250000) is greater than itself. Its abundance is 383664854068526800
Bases of 428143408376723200
- Binary: 101111100010001001000101001010110010011100000110111000000002
- Hexadecimal: 0x5F1122959383700
- Base-36: 393O66ISA41S
Squares and roots of 428143408376723200
- 428143408376723200 squared (4281434083767232002) is 183306778136437573583251569418240000
- 428143408376723200 cubed (4281434083767232003) is 78481588769890187774432897972591848598181511168000000
-
The
square root of 428143408376723200 is 654326683.2223206839 -
The
cube root of 428143408376723200 is 753696.3649579775
Scales and comparisons
How big is 428143408376723200?- 428,143,408,376,723,200 seconds is equal to 13,613,636,051 years, 44 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,143,408,376,723,200 would take you about forty billion, eight hundred forty million, nine hundred eight thousand, one hundred fifty-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 428143408376723200 cubic inches would be around 62808 feet tall.
Recreational maths with 428143408376723200
- 428143408376723200 backwards is 002327673804341824
- 428143408376723200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428143408376723200's digits is 64
- More coming soon!
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The information we have on file for 428143408376723200 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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