428960086128000
428,960,086,128,000 is an even composite number composed of five prime numbers multiplied together.
428960086128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428960086128000:
27 × 32 × 53 × 75 × 4212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 421 × 421)See below for interesting mathematical facts about the number 428960086128000 from the Numbermatics database.
Names of 428960086128000
- Cardinal: 428960086128000 can be written as Four hundred twenty-eight trillion, nine hundred sixty billion, eighty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28960086128 × 1014
Factors of 428960086128000
Divisors of 428960086128000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 280 288 294 300 315 320 336 343 350 360 375 384 392 400 420 421 441 448 450 480 490 500 504 525 560 576 588 600 630 640 672 686 700 720 735 750 784 800 840 842 875 882 896 900 960 980 1000 1008 1029 1050 1120 1125 1152 1176 1200 1225 1260 1263 1344 1372 1400 1440 1470 1500 1568 1575 1600 1680 1684 1715 1750 1764 1800 1920 1960 2000 2016 2058 2100 2105 2205 2240 2250 2352 2400 2401 2450 2520 2526 2625 2688 2744 2800 2880 2940 2947 3000 3087 3136 3150 3200 3360 3368 3430 3500 3528 3600 3675 3789 3920 4000 4032 4116 4200 4210 4410 4480 4500 4704 4800 4802 4900 5040 5052 5145 5250 5488 5600 5760 5880 5894 6000 6125 6174 6272 6300 6315 6720 6736 6860 7000 7056 7200 7203 7350 7578 7840 7875 8000 8064 8232 8400 8420 8575 8820 8841 9000 9408 9600 9604 9800 10080 10104 10290 10500 10525 10976 11025 11200 11760 11788 12000 12005 12250 12348 12600 12630 13440 13472 13720 14000 14112 14400 14406 14700 14735 15156 15435 15680 15750 16000 16464 16800 16807 16840 17150 17640 17682 18000 18375 18816 18945 19208 19600 20160 20208 20580 20629 21000 21050 21609 21952 22050 22400 23520 23576 24000 24010 24500 24696 25200 25260 25725 26523 26944 27440 28000 28224 28800 28812 29400 29470 30312 30870 31360 31500 31575 32928 33600 33614 33680 34300 35280 35364 36000 36015 36750 37890 38416 39200 40320 40416 41160 41258 42000 42100 42875 43218 43904 44100 44205 47040 47152 48000 48020 49000 49392 50400 50421 50520 51450 52625 53046 53888 54880 55125 56000 56448 57624 58800 58940 60025 60624 61740 61887 63000 63150 65856 67200 67228 67360 68600 70560 70728 72000 72030 73500 73675 75780 76832 77175 78400 80832 82320 82516 84000 84035 84200 85750 86436 88200 88410 94080 94304 94725 96040 98000 98784 100800 100842 101040 102900 103145 105250 106092 108045 109760 110250 112000 115248 117600 117880 120050 121248 123480 123774 126000 126300 128625 131712 132615 134456 134720 137200 141120 141456 144000 144060 144403 147000 147350 151263 151560 153664 154350 156800 157875 161664 164640 165032 168000 168070 168400 171500 172872 176400 176820 177241 180075 185661 188608 189450 192080 196000 197568 201600 201684 202080 205800 206290 210500 212184 216090 219520 220500 221025 230496 235200 235760 240100 242496 246960 247548 252000 252105 252600 257250 265230 268912 269440 274400 282240 282912 288120 288806 294000 294700 300125 302526 303120 307328 308700 309435 315750 329280 330064 336000 336140 336800 343000 345744 352800 353640 354482 360150 368375 371322 377216 378900 384160 385875 392000 395136 403368 404160 411600 412580 420175 421000 424368 432180 433209 441000 442050 460992 470400 471520 473625 480200 484992 493920 495096 504000 504210 505200 514500 515725 530460 531723 537824 540225 548800 565824 576240 577612 588000 589400 600250 605052 606240 617400 618870 631500 658560 660128 663075 672280 673600 686000 691488 705600 707280 708964 720300 722015 736750 742644 756315 757800 768320 771750 784000 806736 808320 823200 825160 840350 842000 848736 864360 866418 882000 884100 886205 900375 921984 928305 943040 947250 960400 987840 990192 1008000 1008420 1010400 1010821 1029000 1031450 1060920 1063446 1075648 1080450 1097600 1105125 1131648 1152480 1155224 1176000 1178800 1200500 1210104 1212480 1234800 1237740 1240687 1260525 1263000 1299627 1320256 1326150 1344560 1347200 1372000 1382976 1411200 1414560 1417928 1440600 1444030 1473500 1485288 1512630 1515600 1536640 1543500 1547175 1595169 1613472 1646400 1650320 1680700 1684000 1697472 1728720 1732836 1764000 1768200 1772410 1800750 1856610 1886080 1894500 1920800 1975680 1980384 2016840 2020800 2021642 2058000 2062900 2100875 2121840 2126892 2151296 2160900 2166045 2210250 2304960 2310448 2352000 2357600 2401000 2420208 2424960 2469600 2475480 2481374 2521050 2526000 2578625 2599254 2640512 2652300 2658615 2689120 2701125 2744000 2765952 2829120 2835856 2881200 2888060 2947000 2970576 3025260 3031200 3032463 3087000 3094350 3190338 3226944 3292800 3300640 3315375 3361400 3368000 3394944 3457440 3465672 3528000 3536400 3544820 3601500 3610075 3713220 3722061 3781575 3789000 3841600 3960768 4033680 4041600 4043284 4116000 4125800 4201750 4243680 4253784 4321800 4332090 4420500 4431025 4609920 4620896 4641525 4715200 4802000 4840416 4939200 4950960 4962748 5042100 5052000 5054105 5157250 5198508 5304600 5317230 5378240 5402250 5488000 5658240 5671712 5762400 5776120 5894000 5941152 6050520 6062400 6064926 6174000 6188700 6203435 6302625 6380676 6453888 6498135 6601280 6630750 6722800 6736000 6914880 6931344 7056000 7072800 7075747 7089640 7203000 7220150 7426440 7444122 7563150 7578000 7683200 7735875 7921536 7975845 8067360 8086568 8232000 8251600 8403500 8487360 8507568 8643600 8664180 8684809 8841000 8862050 9097389 9241792 9283050 9430400 9604000 9680832 9878400 9901920 9925496 10084200 10104000 10108210 10314500 10397016 10609200 10634460 10756480 10804500 10830225 11166183 11343424 11524800 11552240 11788000 11882304 12101040 12124800 12129852 12348000 12377400 12406870 12605250 12761352 12996270 13202560 13261500 13293075 13445600 13829760 13862688 14145600 14151494 14179280 14406000 14440300 14852880 14888244 15126300 15156000 15162315 15471750 15951690 16134720 16173136 16464000 16503200 16807000 16974720 17015136 17287200 17328360 17369618 17682000 17724100 18050375 18194778 18483584 18566100 18610305 18907875 19208000 19361664 19803840 19850992 20168400 20208000 20216420 20629000 20794032 21218400 21227241 21268920 21609000 21660450 22155125 22332366 22686848 23049600 23104480 23207625 23576000 23764608 24202080 24259704 24696000 24754800 24813740 25210500 25270525 25522704 25992540 26054427 26523000 26586150 26891200 27725376 28291200 28302988 28358560 28812000 28880600 29705760 29776488 30252600 30312000 30324630 30943500 31017175 31903380 32269440 32346272 32490675 33006400 33614000 34030272 34574400 34656720 34739236 35364000 35378735 35448200 36100750 36389556 37132200 37220610 37815750 38416000 39607680 39701984 39879225 40336800 40432840 41258000 41588064 42436800 42454482 42537840 43218000 43320900 43424045 44310250 44664732 45486945 46208960 46415250 47152000 48404160 48519408 49392000 49509600 49627480 50421000 50541050 51045408 51985080 52108854 53046000 53172300 53782400 54151125 55450752 55830915 56605976 56717120 57624000 57761200 59411520 59552976 60505200 60624000 60649260 60793663 61887000 62034350 63681723 63806760 64692544 64981350 66012800 66465375 67228000 68060544 69148800 69313440 69478472 70728000 70757470 70896400 72201500 72779112 74264400 74441220 75631500 75811575 78163281 79403968 79758450 80673600 80865680 82516000 83176128 84873600 84908964 85075680 86436000 86641800 86848090 88620500 89329464 90973890 92417920 92830500 93051525 96808320 97038816 99019200 99254960 100842000 101082100 102090816 103970160 104217708 106092000 106136205 106344600 108302250 111661830 113211952 113434240 115248000 115522400 118823040 119105952 121010400 121298520 121587326 123774000 124068700 126352625 127363446 127613520 129385088 129962700 130272135 132930750 134456000 138626880 138956944 141456000 141514940 141792800 144403000 145558224 148528800 148882440 151263000 151623150 155085875 156326562 158807936 159516900 161347200 161731360 162453375 165032000 166352256 169817928 170151360 172872000 173283600 173696180 176893675 177241000 178658928 181947780 182380989 185661000 186103050 194077632 198038400 198509920 199396125 201684000 202164200 204181632 207940320 208435416 212184000 212272410 212689200 216604500 217120225 223323660 226423904 227434725 231044800 238211904 242020800 242597040 243174652 247548000 248137400 252705250 254726892 255227040 259925400 260544270 265861500 268912000 277253760 277913888 279154575 283029880 283585600 288806000 291116448 297057600 297764880 302526000 303246300 303968315 310171750 312653124 318408615 319033800 323462720 324906750 330064000 339635856 340302720 345744000 346567200 347392360 353787350 354482000 357317856 363895560 364761978 371322000 372206100 379057875 388155264 390816405 397019840 398792250 403368000 404328400 415880640 416870832 424368000 424544820 425378400 425555641 433209000 434240450 446647320 452847808 454869450 462089600 465257625 476423808 484041600 485194080 486349304 495096000 496274800 505410500 509453784 510454080 519850800 521088540 530681025 531723000 547142967 555827776 558309150 566059760 567171200 577612000 582232896 594115200 595529760 605052000 606492600 607936630 620343500 625306248 636817230 638067600 646925440 649813500 651360675 679271712 693134400 694784720 707574700 708964000 714635712 727791120 729523956 742644000 744412200 758115750 781632810 794039680 797584500 806736000 808656800 831761280 833741664 849089640 850756800 851111282 866418000 868480900 884468375 893294640 905695616 909738900 911904945 930515250 970388160 972698608 990192000 992549600 1010821000 1018907568 1020908160 1039701600 1042177080 1061362050 1063446000 1085601125 1094285934 1111655552 1116618300 1132119520 1137173625 1155224000 1164465792 1191059520 1210104000 1212985200 1215873260 1240687000 1250612496 1273634460 1276135200 1276666923 1299627000 1302721350 1358543424 1386268800 1389569440 1395772875 1415149400 1417928000 1429271424 1455582240 1459047912 1485288000 1488824400 1516231500 1519841575 1563265620 1592043075 1595169000 1617313600 1667483328 1698179280 1701513600 1702222564 1732836000 1736961800 1768936750 1786589280 1819477800 1823809890 1861030500 1940776320 1945397216 1954082025 1985099200 2021642000 2037815136 2079403200 2084354160 2122724100 2126892000 2127778205 2171202250 2188571868 2233236600 2264239040 2274347250 2310448000 2382119040 2420208000 2425970400 2431746520 2481374000 2501224992 2547268920 2552270400 2553333846 2599254000 2605442700 2653405125 2717086848 2735714835 2779138880 2791545750 2830298800 2835856000 2911164480 2918095824 2970576000 2977648800 2978889487 3032463000 3039683150 3126531240 3184086150 3190338000 3234627200 3256803375 3334966656 3396358560 3404445128 3465672000 3473923600 3537873500 3573178560 3638955600 3647619780 3722061000 3830000769 3890794432 3908164050 3970198400 4043284000 4075630272 4158806400 4168708320 4245448200 4253784000 4255556410 4342404500 4377143736 4466473200 4528478080 4548694500 4559524725 4851940800 4863493040 4962748000 5002449984 5094537840 5104540800 5106667692 5198508000 5210885400 5306810250 5471429670 5558277760 5583091500 5660597600 5822328960 5836191648 5955297600 5957778974 6064926000 6079366300 6253062480 6368172300 6380676000 6383334615 6513606750 6792717120 6808890256 6931344000 6947847200 7075747000 7146357120 7277911200 7295239560 7444122000 7599207875 7660001538 7781588864 7816328100 7960215375 8086568000 8151260544 8337416640 8490896400 8507568000 8511112820 8684809000 8754287472 8932946400 8936668461 9097389000 9119049450 9703881600 9726986080 9770410125 9925496000 10004899968 10189075680 10213335384 10397016000 10421770800 10613620500 10638891025 10942859340 11166183000 11321195200 11672383296 11910595200 11915557948 12129852000 12158732600 12506124960 12736344600 12761352000 12766669230 13027213500 13585434240 13617780512 13678574175 13895694400 14151494000 14555822400 14590479120 14888244000 14894447435 15198415750 15320003076 15632656200 15920430750 16173136000 16674833280 16981792800 17022225640 17369618000 17508574944 17865892800 17873336922 18194778000 18238098900 19150003845 19453972160 19540820250 19850992000 20378151360 20426670768 20794032000 20843541600 21227241000 21277782050 21885718680 22332366000 22642390400 22797623625 23344766592 23831115896 24259704000 24317465200 25012249920 25472689200 25522704000 25533338460 26054427000 26810005383 27235561024 27357148350 27791388800 28302988000 29111644800 29180958240 29776488000 29788894870 30396831500 30640006152 31265312400 31840861500 31916673075 33963585600 34044451280 34739236000 35017149888 35731785600 35746673844 36389556000 36476197800 38300007690 38907944320 39081640500 40756302720 40853341536 41687083200 42454482000 42555564100 43771437360 44664732000 44683342305 45595247250 47662231792 48519408000 48634930400 50024499840 50945378400 51066676920 52108854000 53194455125 53620010766 54471122048 54714296700 56605976000 58361916480 59552976000 59577789740 60793663000 61280012304 62530624800 63681723000 63833346150 67927171200 68088902560 68392870875 69478472000 70034299776 71493347688 72779112000 72952395600 74472237175 76600015380 78163281000 81706683072 83374166400 84908964000 85111128200 87542874720 89329464000 89366684610 91190494500 95324463584 95750019225 97269860800 101890756800 102133353840 104217708000 106388910250 107240021532 109428593400 113211952000 116723832960 119155579480 121587326000 122560024608 125061249600 127363446000 127666692300 134050026915 136177805120 136785741750 138956944000 142986695376 145558224000 145904791200 148944474350 153200030760 156326562000 159583365375 163413366144 169817928000 170222256400 175085749440 178658928000 178733369220 182380989000 190648927168 191500038450 194539721600 203781513600 204266707680 208435416000 212777820500 214480043064 218857186800 223416711525 238311158960 243174652000 245120049216 250122499200 254726892000 255333384600 268100053830 272355610240 273571483500 285973390752 291809582400 297888948700 306400061520 312653124000 319166730750 339635856000 340444512800 350171498880 357466738440 364761978000 372361185875 381297854336 383000076900 408533415360 416870832000 425555641000 428960086128 437714373600 446833423050 476622317920 478750096125 486349304000 490240098432 509453784000 510666769200 536200107660 547142967000 571946781504 583619164800 595777897400 612800123040 625306248000 638333461500 670250134575 680889025600 714933476880 729523956000 744722371750 766000153800 817066830720 851111282000 857920172256 875428747200 893666846100 953244635840 957500192250 972698608000 1018907568000 1021333538400 1072400215320 1094285934000 1117083557625 1143893563008 1191555794800 1225600246080 1250612496000 1276666923000 1340500269150 1361778051200 1429866953760 1459047912000 1489444743500 1532000307600 1702222564000 1715840344512 1750857494400 1787333692200 1906489271680 1915000384500 2042667076800 2144800430640 2188571868000 2234167115250 2383111589600 2451200492160 2553333846000 2681000538300 2859733907520 2918095824000 2978889487000 3064000615200 3351250672875 3404445128000 3431680689024 3574667384400 3830000769000 4085334153600 4289600861280 4377143736000 4468334230500 4766223179200 5106667692000 5362001076600 5719467815040 5957778974000 6128001230400 6702501345750 6808890256000 7149334768800 7660001538000 8579201722560 8754287472000 8936668461000 9532446358400 10213335384000 10724002153200 11915557948000 12256002460800 13405002691500 14298669537600 15320003076000 17158403445120 17873336922000 20426670768000 21448004306400 23831115896000 26810005383000 28597339075200 30640006152000 35746673844000 42896008612800 47662231792000 53620010766000 61280012304000 71493347688000 85792017225600 107240021532000 142986695376000 214480043064000 428960086128000
- Sum of all divisors σ(n): 1801517232022560
- Sum of proper divisors (its aliquot sum) s(n): 1372557145894560
- 428960086128000 is an abundant number, because the sum of its proper divisors (1372557145894560) is greater than itself. Its abundance is 943597059766560
Bases of 428960086128000
- Binary: 11000011000100011000011011000111001110101100000002
- Hexadecimal: 0x186230D8E7580
- Base-36: 481XJJUXS0
Squares and roots of 428960086128000
- 428960086128000 squared (4289600861280002) is 184006755490941178032384000000
- 428960086128000 cubed (4289600861280003) is 78931553683527964652553222213169152000000000
-
The
square root of 428960086128000 is 20711351.6248457333 -
The
cube root of 428960086128000 is 75417.5282445919
Scales and comparisons
How big is 428960086128000?- 428,960,086,128,000 seconds is equal to 13,639,603 years, 45 weeks, 4 days, 16 hours.
-
To count from 1 to 428,960,086,128,000 would take you about thirty-four million, ninety-nine thousand and nine 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 428960086128000 cubic inches would be around 6284.8 feet tall.
Recreational maths with 428960086128000
- 428960086128000 backwards is 000821680069824
- The number of decimal digits it has is: 15
- The sum of 428960086128000's digits is 54
- More coming soon!
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"Number 428960086128000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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The information we have on file for 428960086128000 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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