30590943060440380800
30,590,943,060,440,380,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30590943060440380800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
30590943060440380800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 30590943060440380800:
27 × 3 × 52 × 7 × 13 × 349 × 100335544847
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 349 × 100335544847)See below for interesting mathematical facts about the number 30590943060440380800 from the Numbermatics database.
Names of 30590943060440380800
- Cardinal: 30590943060440380800 can be written as Thirty quintillion, five hundred ninety quadrillion, nine hundred forty-three trillion, sixty billion, four hundred forty million, three hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.05909430604403808 × 1019
Factors of 30590943060440380800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 100335545226
Divisors of 30590943060440380800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 56 60 64 65 70 75 78 80 84 91 96 100 104 105 112 120 128 130 140 150 156 160 168 175 182 192 195 200 208 210 224 240 260 273 280 300 312 320 325 336 349 350 364 384 390 400 416 420 448 455 480 520 525 546 560 600 624 640 650 672 698 700 728 780 800 832 840 896 910 960 975 1040 1047 1050 1092 1120 1200 1248 1300 1344 1365 1396 1400 1456 1560 1600 1664 1680 1745 1820 1920 1950 2080 2094 2100 2184 2240 2275 2400 2443 2496 2600 2688 2730 2792 2800 2912 3120 3200 3360 3490 3640 3900 4160 4188 4200 4368 4480 4537 4550 4800 4886 4992 5200 5235 5460 5584 5600 5824 6240 6720 6825 6980 7280 7329 7800 8320 8376 8400 8725 8736 9074 9100 9600 9772 10400 10470 10920 11168 11200 11648 12215 12480 13440 13611 13650 13960 14560 14658 15600 16752 16800 17450 17472 18148 18200 19544 20800 20940 21840 22336 22400 22685 24430 24960 26175 27222 27300 27920 29120 29316 31200 31759 33504 33600 34900 34944 36296 36400 36645 39088 41600 41880 43680 44672 45370 48860 52350 54444 54600 55840 58240 58632 61075 62400 63518 67008 67200 68055 69800 72592 72800 73290 78176 83760 87360 90740 95277 97720 104700 108888 109200 111680 113425 117264 122150 124800 127036 134016 136110 139600 145184 145600 146580 156352 158795 167520 174720 181480 183225 190554 195440 209400 217776 218400 223360 226850 234528 244300 254072 272220 279200 290368 291200 293160 312704 317590 335040 340275 362960 366450 381108 390880 418800 435552 436800 453700 469056 476385 488600 508144 544440 558400 580736 586320 635180 670080 680550 725920 732900 762216 781760 793975 837600 871104 873600 907400 938112 952770 977200 1016288 1088880 1116800 1172640 1270360 1361100 1451840 1465800 1524432 1563520 1587950 1675200 1742208 1814800 1905540 1954400 2032576 2177760 2345280 2381925 2540720 2722200 2903680 2931600 3048864 3175900 3350400 3629600 3811080 3908800 4065152 4355520 4690560 4763850 5081440 5444400 5863200 6097728 6351800 7259200 7622160 7817600 8711040 9527700 10162880 10888800 11726400 12195456 12703600 14518400 15244320 19055400 20325760 21777600 23452800 25407200 30488640 38110800 43555200 50814400 60977280 76221600 101628800 152443200 304886400 100335544847 200671089694 301006634541 401342179388 501677724235 602013269082 702348813929 802684358776 1003355448470 1204026538164 1304362083011 1404697627858 1505033172705 1605368717552 2006710896940 2107046441787 2408053076328 2508388621175 2608724166022 2809395255716 3010066345410 3210737435104 3511744069645 3913086249033 4013421793880 4214092883574 4816106152656 5016777242350 5217448332044 5618790511432 6020132690820 6421474870208 6521810415055 7023488139290 7525165863525 7826172498066 8026843587760 8428185767148 9130534581077 9632212305312 10033554484700 10434896664088 10535232208935 11237581022864 12040265381640 12842949740416 13043620830110 14046976278580 15050331727050 15652344996132 16053687175520 16856371534296 17558720348225 18261069162154 19264424610624 19565431245165 20067108969400 20869793328176 21070464417870 22475162045728 24080530763280 26087241660220 27391603743231 28093952557160 30100663454100 31304689992264 32107374351040 32609052075275 33712743068592 35017105151603 35117440696450 36522138324308 38528849221248 39130862490330 40134217938800 41739586656352 42140928835740 44950324091456 45652672905385 48161061526560 52174483320440 52676161044675 54783207486462 56187905114320 60201326908200 62609379984528 64214748702080 65218104150550 67425486137184 70034210303206 70234881392900 73044276648616 78261724980660 80268435877600 83479173312704 84281857671480 89900648182912 91305345810770 96322123053120 97827156225825 104348966640880 105051315454809 105352322089350 109566414972924 112375810228640 120402653816400 125218759969056 130436208301100 134850972274368 136958018716155 140068420606412 140469762785800 146088553297232 156523449961320 160536871755200 166958346625408 168563715342960 175085525758015 182610691621540 192644246106240 195654312451650 208697933281760 210102630909618 210704644178700 219132829945848 224751620457280 228263364526925 240805307632800 245119736061221 250437519938112 260872416602200 269701944548736 273916037432310 280136841212824 280939525571600 292177106594464 313046899922640 321073743510400 337127430685920 350171051516030 365221383243080 391308624903300 417395866563520 420205261819236 421409288357400 438265659891696 449503240914560 455222366970839 456526729053850 481610615265600 490239472122442 500875039876224 521744833204400 525256577274045 547832074864620 560273682425648 561879051143200 584354213188928 626093799845280 674254861371840 684790093580775 700342103032060 730442766486160 735359208183663 782617249806600 834791733127040 840410523638472 842818576714800 875427628790075 876531319783392 910444733941678 913053458107700 963221230531200 980478944244884 1043489666408800 1050513154548090 1095664149729240 1120547364851296 1123758102286400 1168708426377856 1225598680306105 1252187599690560 1348509722743680 1365667100912517 1369580187161550 1400684206064120 1460885532972320 1470718416367326 1565234499613200 1680821047276944 1685637153429600 1750855257580150 1753062639566784 1820889467883356 1826106916215400 1960957888489768 2086979332817600 2101026309096180 2191328299458480 2241094729702592 2247516204572800 2276111834854195 2451197360612210 2504375199381120 2626282886370225 2731334201825034 2739160374323100 2801368412128240 2921771065944640 2941436832734652 3130468999226400 3186556568795873 3361642094553888 3371274306859200 3501710515160300 3506125279133568 3641778935766712 3652213832430800 3676796040918315 3921915776979536 4173958665635200 4202052618192360 4382656598916960 4482189459405184 4552223669708390 4902394721224420 5252565772740450 5462668403650068 5478320748646200 5602736824256480 5843542131889280 5882873665469304 6127993401530525 6260937998452800 6373113137591746 6723284189107776 6742548613718400 6828335504562585 7003421030320600 7283557871533424 7304427664861600 7353592081836630 7843831553959072 8404105236384720 8765313197833920 9104447339416780 9559669706387619 9804789442448840 10505131545480900 10925336807300136 10956641497292400 11205473648512960 11380559174270975 11765747330938608 12255986803061050 12521875996905600 12746226275183492 13446568378215552 13656671009125170 14006842060641200 14567115743066848 14608855329723200 14707184163673260 15687663107918144 15932782843979365 16808210472769440 17530626395667840 18208894678833560 18383980204591575 19119339412775238 19609578884897680 21010263090961800 21850673614600272 21913282994584800 22410947297025920 22761118348541950 23531494661877216 24511973606122100 25492452550366984 27313342018250340 28013684121282400 29134231486133696 29217710659446400 29414368327346520 31375326215836288 31865565687958730 33616420945538880 34141677522812925 36417789357667120 36767960409183150 38238678825550476 39219157769795360 42020526181923600 43701347229200544 43826565989169600 45522236697083900 47062989323754432 47798348531938095 49023947212244200 50984905100733968 54626684036500680 56027368242564800 58268462972267392 58828736654693040 63731131375917460 67232841891077760 68283355045625850 72835578715334240 73535920818366300 76477357651100952 78438315539590720 79663914219896825 84041052363847200 87402694458401088 87653131978339200 91044473394167800 94125978647508864 95596697063876190 98047894424488400 101969810201467936 109253368073001360 112054736485129600 117657473309386080 127462262751834920 136566710091251700 145671157430668480 147071841636732600 152954715302201904 156876631079181440 159327828439793650 168082104727694400 174805388916802176 182088946788335600 191193394127752380 196095788848976800 203939620402935872 218506736146002720 235314946618772160 238991742659690475 254924525503669840 273133420182503400 291342314861336960 294143683273465200 305909430604403808 318655656879587300 336164209455388800 364177893576671200 382386788255504760 392191577697953600 407879240805871744 437013472292005440 470629893237544320 477983485319380950 509849051007339680 546266840365006800 588287366546930400 611818861208807616 637311313759174600 728355787153342400 764773576511009520 784383155395907200 874026944584010880 955966970638761900 1019698102014679360 1092533680730013600 1176574733093860800 1223637722417615232 1274622627518349200 1456711574306684800 1529547153022019040 1911933941277523800 2039396204029358720 2185067361460027200 2353149466187721600 2549245255036698400 3059094306044038080 3823867882555047600 4370134722920054400 5098490510073396800 6118188612088076160 7647735765110095200 10196981020146793600 15295471530220190400 30590943060440380800
- Sum of all divisors σ(n): 124366309181275392000
- Sum of proper divisors (its aliquot sum) s(n): 93775366120835011200
- 30590943060440380800 is an abundant number, because the sum of its proper divisors (93775366120835011200) is greater than itself. Its abundance is 63184423060394630400
Bases of 30590943060440380800
- Binary: 110101000100010001101110010100010101111011011111111110101100000002
- Hexadecimal: 0x1A888DCA2BDBFF580
- Base-36: 6GEYOAA4YCHHC
Squares and roots of 30590943060440380800
- 30590943060440380800 squared (305909430604403808002) is 935805797327105491555228431249008640000
- 30590943060440380800 cubed (305909430604403808003) is 28627181861663495192450852363687032728424221824090112000000
-
The
square root of 30590943060440380800 is 5530907977.9400037311 -
The
cube root of 30590943060440380800 is 3127502.1857628819
Scales and comparisons
How big is 30590943060440380800?- 30,590,943,060,440,380,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 30,590,943,060,440,380,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one 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 30590943060440380800 cubic inches would be around 260625.2 feet tall.
Recreational maths with 30590943060440380800
- 30590943060440380800 backwards is 00808304406034909503
- The number of decimal digits it has is: 20
- The sum of 30590943060440380800's digits is 66
- More coming soon!
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The information we have on file for 30590943060440380800 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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