30823813790401632
30,823,813,790,401,632 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30823813790401632 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
30823813790401632 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 30823813790401632:
25 × 3 × 7 × 112 × 13 × 23 × 1267828589
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 13 × 23 × 1267828589)See below for interesting mathematical facts about the number 30823813790401632 from the Numbermatics database.
Names of 30823813790401632
- Cardinal: 30823813790401632 can be written as Thirty quadrillion, eight hundred twenty-three trillion, eight hundred thirteen billion, seven hundred ninety million, four hundred one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 3.0823813790401632 × 1016
Factors of 30823813790401632
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1267828648
Divisors of 30823813790401632
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 23 24 26 28 32 33 39 42 44 46 48 52 56 66 69 77 78 84 88 91 92 96 104 112 121 132 138 143 154 156 161 168 176 182 184 208 224 231 242 253 264 273 276 286 299 308 312 322 336 352 363 364 368 416 429 462 483 484 506 528 546 552 572 598 616 624 644 672 726 728 736 759 847 858 897 924 966 968 1001 1012 1056 1092 1104 1144 1196 1232 1248 1288 1452 1456 1518 1573 1694 1716 1771 1794 1848 1932 1936 2002 2024 2093 2184 2208 2288 2392 2464 2541 2576 2783 2904 2912 3003 3036 3146 3289 3388 3432 3542 3588 3696 3864 3872 4004 4048 4186 4368 4576 4719 4784 5082 5152 5313 5566 5808 6006 6072 6279 6292 6578 6776 6864 7084 7176 7392 7728 8008 8096 8349 8372 8736 9438 9568 9867 10164 10626 11011 11132 11616 12012 12144 12558 12584 13156 13552 13728 14168 14352 15456 16016 16698 16744 18876 19481 19734 20328 21252 22022 22264 23023 24024 24288 25116 25168 26312 27104 28336 28704 32032 33033 33396 33488 36179 37752 38962 39468 40656 42504 44044 44528 46046 48048 50232 50336 52624 56672 58443 66066 66792 66976 69069 72358 75504 77924 78936 81312 85008 88088 89056 92092 96096 100464 105248 108537 116886 132132 133584 138138 144716 151008 155848 157872 170016 176176 184184 200928 217074 233772 253253 264264 267168 276276 289432 311696 315744 352352 368368 434148 467544 506506 528528 552552 578864 623392 736736 759759 868296 935088 1013012 1057056 1105104 1157728 1519518 1736592 1870176 2026024 2210208 3039036 3473184 4052048 6078072 8104096 12156144 24312288 1267828589 2535657178 3803485767 5071314356 7606971534 8874800123 10142628712 13946114479 15213943068 16481771657 17749600246 20285257424 26624400369 27892228958 29160057547 30427886136 32963543314 35499200492 40570514848 41838343437 49445314971 53248800738 55784457916 58320115094 60855772272 65927086628 70998400984 83676686874 87480172641 97622801353 98890629942 106497601476 111568915832 115372401599 116640230188 121711544544 131854173256 141996801968 153407259269 167353373748 174960345282 181299488227 195245602706 197781259884 204120402829 212995202952 223137831664 230744803198 233280460376 263708346512 283993603936 292868404059 306814518538 320760633017 334706747496 346117204797 349920690564 362598976454 379080748111 390491205412 395562519768 408240805658 425990405904 446275663328 460221777807 461489606396 466560920752 527416693024 543898464681 585736808118 612361208487 613629037076 641521266034 669413494992 692234409594 699841381128 725197952908 758161496222 780982410824 791125039536 816481611316 851980811808 920443555614 922979212792 933121841504 962281899051 1073850814883 1087796929362 1137242244333 1171473616236 1224722416974 1227258074152 1269096417589 1283042532068 1338826989984 1384468819188 1399682762256 1450395905816 1516322992444 1561964821648 1582250079072 1632963222632 1840887111228 1845958425584 1924563798102 1994294370497 2147701629766 2175593858724 2245324431119 2274484488666 2342947232472 2449444833948 2454516148304 2538192835178 2566085064136 2653565236777 2768937638376 2799365524512 2900791811632 3032645984888 3123929643296 3221552444649 3265926445264 3528366963187 3681774222456 3691916851168 3807289252767 3849127596204 3988588740994 4169888229221 4295403259532 4351187717448 4490648862238 4548968977332 4685894464944 4898889667896 4909032296608 5076385670356 5132170128272 5307130473554 5537875276752 5801583623264 5982883111491 6065291969776 6443104889298 6531852890528 6735973293357 7056733926374 7363548444912 7614578505534 7698255192408 7960695710331 7977177481988 8339776458442 8590806519064 8702375434896 8981297724476 9097937954664 9371788929888 9797779335792 10152771340712 10264340256544 10585100889561 10614260947108 11075750553504 11965766222982 12130583939552 12509664687663 12886209778596 13471946586714 13960060593479 14113467852748 14727096889824 15229157011068 15396510384816 15921391420662 15954354963976 16679552916884 17181613038128 17404750869792 17962595448952 18195875909328 19595558671584 20305542681424 21170201779122 21228521894216 23931532445964 24698568742309 25019329375326 25772419557192 26943893173428 27920121186958 28226935705496 29189217604547 30458314022136 30793020769632 31842782841324 31908709927952 33359105833768 34363226076256 35925190897904 36391751818656 40611085362848 41880181780437 42340403558244 42457043788432 45868770521431 47863064891928 49397137484618 50038658750652 51544839114384 53887786346856 55840242373916 56453871410992 58378435209094 60916628044272 63685565682648 63817419855904 66718211667536 71850381795808 74095706226927 83760363560874 84680807116488 84914087576864 87567652813641 91737541042862 95726129783856 98794274969236 100077317501304 103089678228768 107775572693712 111680484747832 112907742821984 116756870418188 121833256088544 127371131365296 133436423335072 137606311564293 148191412453854 167520727121748 169361614232976 175135305627282 183475082085724 191452259567712 197588549938472 200154635002608 215551145387424 223360969495664 233513740836376 254742262730592 275212623128586 296382824907708 321081393650017 335041454243496 338723228465952 350270611254564 366950164171448 395177099876944 400309270005216 446721938991328 467027481672752 550425246257172 592765649815416 642162787300034 670082908486992 700541222509128 733900328342896 790354199753888 934054963345504 963244180950051 1100850492514344 1185531299630832 1284325574600068 1340165816973984 1401082445018256 1467800656685792 1926488361900102 2201700985028688 2371062599261664 2568651149200136 2802164890036512 3852976723800204 4403401970057376 5137302298400272 7705953447600408 10274604596800544 15411906895200816 30823813790401632
- Sum of all divisors σ(n): 114219955644318720
- Sum of proper divisors (its aliquot sum) s(n): 83396141853917088
- 30823813790401632 is an abundant number, because the sum of its proper divisors (83396141853917088) is greater than itself. Its abundance is 52572328063515456
Bases of 30823813790401632
- Binary: 11011011000001000011000011001111001100110000100011000002
- Hexadecimal: 0x6D821867998460
- Base-36: 8FI4OKJIMAO
Squares and roots of 30823813790401632
- 30823813790401632 squared (308238137904016322) is 950107496585353824060371868263424
- 30823813790401632 cubed (308238137904016323) is 29285936555611600688169893012571207318011335507968
-
The
square root of 30823813790401632 is 175567120.4707807241 -
The
cube root of 30823813790401632 is 313541.8073845775
Scales and comparisons
How big is 30823813790401632?- 30,823,813,790,401,632 seconds is equal to 980,101,934 years, 11 weeks, 2 days, 13 hours, 47 minutes, 12 seconds.
-
To count from 1 to 30,823,813,790,401,632 would take you about two billion, nine hundred forty million, three hundred five thousand, eight hundred two 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 30823813790401632 cubic inches would be around 26128.5 feet tall.
Recreational maths with 30823813790401632
- 30823813790401632 backwards is 23610409731832803
- The number of decimal digits it has is: 17
- The sum of 30823813790401632's digits is 60
- More coming soon!
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The information we have on file for 30823813790401632 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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