972984342513697969
972,984,342,513,697,969 is an odd composite number composed of six prime numbers multiplied together.
972984342513697969 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty-nine divisors.
Prime factorization of 972984342513697969:
72 × 132 × 172 × 192 × 372 × 9072
(7 × 7 × 13 × 13 × 17 × 17 × 19 × 19 × 37 × 37 × 907 × 907)See below for interesting mathematical facts about the number 972984342513697969 from the Numbermatics database.
Names of 972984342513697969
- Cardinal: 972984342513697969 can be written as Nine hundred seventy-two quadrillion, nine hundred eighty-four trillion, three hundred forty-two billion, five hundred thirteen million, six hundred ninety-seven thousand, nine hundred sixty-nine.
Scientific notation
- Scientific notation: 9.72984342513697969 × 1017
Factors of 972984342513697969
Divisors of 972984342513697969
- Number of divisors d(n): 729
-
Complete list of divisors:
1 7 13 17 19 37 49 91 119 133 169 221 247 259 289 323 361 481 629 637 703 833 907 931 1183 1369 1547 1729 1813 2023 2261 2527 2873 3211 3367 3757 4199 4403 4693 4921 5491 6137 6253 6349 8177 8281 9139 9583 10693 10829 11791 11951 12103 13357 14161 15419 15827 17233 17689 17797 20111 22477 23273 23569 26011 26299 29393 30821 32851 33559 34447 38437 42959 43771 44443 48841 54587 57239 61009 63973 67081 71383 74851 79781 82537 83657 93499 104329 106301 107933 118807 120631 124579 139009 140777 153283 155363 157339 162911 173641 182077 184093 200447 203167 205751 224029 227069 229957 231361 234913 262123 269059 292961 300713 302549 306397 327427 338143 341887 382109 395641 400673 427063 436267 442187 447811 494209 499681 523957 558467 570503 577759 585599 637621 654493 730303 744107 755531 822649 831649 844417 872053 927979 973063 1037153 1072981 1087541 1140377 1215487 1241683 1274539 1356277 1403129 1422169 1568203 1589483 1619527 1644391 1807117 1834861 2019719 2050727 2117843 2257333 2291989 2367001 2393209 2605811 2641171 2674763 2769487 2912377 2951897 2989441 3053869 3095309 3407599 3459463 3497767 3808493 3860173 3909269 3933137 3993521 4256551 4395859 4463347 4980337 5112121 5143333 5208749 5566259 5671471 5748431 5758543 5821543 6424717 6495853 6811441 7260071 7416539 7510867 7517179 7612787 8289073 8401553 8508409 8691781 9493939 9698551 9821903 9955183 10694437 10839557 10977421 11126381 11336689 12114799 12649819 12844027 13985033 14138033 14355089 14824901 15630331 15801331 16043923 16141879 16569007 17631601 18240677 18488197 19386409 20386639 20663279 21108611 21377083 21667163 23591977 23853193 24216241 26659451 27021211 27531959 27954647 29795857 30438013 30771013 31243429 34335223 34862359 36003331 38374661 38963813 39700297 40239017 40309801 44298787 44973019 45470971 49510409 50182249 50820497 51915773 52620253 55335163 58023511 58810871 60842467 64744381 66457573 66863329 67889857 72361367 74729603 74861059 75876899 83521321 84803593 88548733 94626403 96415007 97723327 97895231 98966231 107757949 109220189 109412317 110609317 112993153 123421207 126081163 127684739 129417379 139027681 140914241 142706473 142826401 144642953 147760277 157492387 165143839 166972351 181805429 184272469 186616157 189148477 192723713 203194303 205951583 208570999 209844427 213066091 215397091 237745561 240346561 244036513 252023317 265715627 268622627 272746691 274411943 277902079 281673119 296976289 306695701 310091509 314811133 346572863 351275743 358846387 363410411 368341771 387346141 395694169 401063609 406164577 411676097 448247563 453210667 468043303 475228999 506529569 517446221 523107221 524027413 531138293 578322247 584649247 593625151 652369237 662384821 674905049 684063289 685266617 754305643 764541323 765886219 790952071 841676953 863948449 882568141 940697771 973193767 986399687 999784807 1034321939 1102446709 1126206481 1156006873 1230143239 1270403251 1272638003 1289907283 1419862457 1422360121 1441661081 1468910989 1491462637 1639055119 1664218927 1682425927 1831885133 1856743213 1860009389 1880358389 1920883601 2047401031 2078834023 2146869907 2170640563 2363470577 2395542097 2426010041 2458930201 2511924709 2641525939 2677370579 2711422987 2769859183 2807445263 3090692293 3137732941 3172474669 3276303121 3454303151 3501176911 3545706983 3567355259 3622123547 3661750547 3860691757 3987044113 4048255729 4092544729 4517165659 4566584659 4636693747 4665003031 4724335343 4788443023 5048596913 5144024197 5213826917 5280139501 5351789261 5827218319 5891738671 6177976987 6584884397 6726800873 6812356369 6818081353 6904797809 6998493649 7518189211 7620208571 7717126963 7883445367 8611002673 8796585757 8892822757 8908466021 9029350981 9831478199 9939037199 9956520847 10091627567 10282376923 10988122693 11473385833 11649532489 12823195931 12997202491 13020065723 13446185207 14331807217 14551838161 14640684253 15028089349 15991862107 16544294039 16768794679 17583472963 18490681573 18741594053 19145510177 19389014281 19652116841 21397923139 21634846051 21964130587 24137661769 24180122057 24508238377 24971486813 25354864829 27024842299 27909308791 28337790103 31142047261 31620159613 31966092613 32655021217 34805817527 35340178391 36008169379 36496788419 40178999809 40790528233 41242170697 44905940963 45515299843 46094190779 47087606111 47726569471 50188992841 52627324477 53341459997 55184117569 58723153567 60277018711 60645039403 61576100299 62249759299 65631759869 67779749921 68820347393 69573260393 75753838147 76916858851 80313700831 85826147521 87448411349 88635057589 89762371517 90980417437 97736459743 99062711423 100322650519 102484789771 111943034749 114355614841 115810058273 117381562753 127809216587 129434771011 129543545707 131191158371 134018571239 142845595009 149785461973 151443922357 167135129383 168963632383 169260854399 171557668639 174800407691 186798085781 189173896093 190328895289 195365161537 217994330827 221341117291 228585148519 243640722689 247381248737 248891632301 252057185653 255477518933 278173000807 281252998663 285533697631 314341586741 318607098901 325473673009 329613242777 334085986297 351322949887 363764693363 368391271339 373390219979 406560539641 411062074969 424515275821 431032702093 459422319083 474458249447 481742431751 530276867029 538418011957 591698897959 600783032647 612138879443 620445403123 684155218201 693438979961 717393528397 763400996371 783601243243 800489303887 853212878297 894664516109 906804819949 938129998673 999919165063 1048498233811 1115739917773 1152255748657 1169945905681 1182745426681 1287815248499 1307586600467 1332302267023 1486622992933 1525960315789 1661519815631 1684066094191 1705485058823 1742241426107 1856992735117 1947211005649 1968770990641 2172756681979 2200391107187 2230249692307 2278315711063 2428375115153 2459260649209 2546352853541 2845923777487 2877434524783 2971606930747 3175567458277 3215956233581 3235591219913 3321207746129 3616249010491 3711938069203 4141892285713 4205481228529 4231157749117 4284972156101 4343117821861 4728941013719 4789086527407 4854072859727 5285287015333 5343806974597 5603425127209 5972490148079 6183999787171 6262651612763 6347633739643 6911529173897 6999434155441 7810179424411 8065790240599 8189621339767 9014706739493 9153106203269 9326115869161 10406360950531 11630638709417 11788462659337 12195689982749 12998949145819 13630477039543 14504618931049 15209296773853 15948209977441 16998625806071 17824469974787 19921466442409 21892859224483 22228972207939 22649138539391 25313743073437 28245836865727 28993245999991 29618104243819 31568876496989 33102587096033 36997009107331 37406648822179 41282376957601 41807431036553 43287998510197 48380704217279 54671255970877 55005050738521 56460531684193 61476233178347 63102947176451 68708731199329 72844526653717 80391997233223 81414470965919 82519238615359 89849879260661 90992644020733 101532332517343 106465077416971 117495995956249 118990380642497 153250014571381 155602805455573 158543969775737 177196201514059 197720858060089 207326729706733 220982135478923 231718109672231 258979063751317 288976638703207 303015989571379 338664929520953 385035355169647 430333632248429 480961118395303 536670900448813 562743980632561 628949154824627 710726327621401 822471971693743 1045095964031899 1072750101999667 1168048430388593 1384046006420623 1527447947431237 1546874948352461 2022836470922449 2695247486187529 3012335425739003 3366727828767121 3756696303141691 3939207864427927 4402644083772389 5757303801856201 7315671748223293 8176339012720151 10692135632018659 19856823316606081 26296874121991837 51209702237563051 57234373089041057 74844949424130613 138997763216242567 972984342513697969
- Sum of all divisors σ(n): 1413764450189949123
- Sum of proper divisors (its aliquot sum) s(n): 440780107676251154
- 972984342513697969 is a deficient number, because the sum of its proper divisors (440780107676251154) is less than itself. Its deficiency is 532204234837446815
Bases of 972984342513697969
- Binary: 1101100000001011110000011010101110111000101111000100101100012
- Hexadecimal: 0xD80BC1ABB8BC4B1
- Base-36: 7E4E5WA5E01D
Squares and roots of 972984342513697969
- 972984342513697969 squared (9729843425136979692) is 946698530776813124972288399354724961
- 972984342513697969 cubed (9729843425136979693) is 921122847526561379773458691071198022800343785019304209
-
972984342513697969 is a
perfect square number . Itssquare root is 986399687 -
The
cube root of 972984342513697969 is 990912.4473863683
Scales and comparisons
How big is 972984342513697969?- 972,984,342,513,697,969 seconds is equal to 30,937,892,453 years, 39 weeks, 2 days, 19 hours, 12 minutes, 49 seconds.
-
To count from 1 to 972,984,342,513,697,969 would take you about ninety-two billion, eight hundred thirteen million, six hundred seventy-seven thousand, three hundred sixty-one 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 972984342513697969 cubic inches would be around 82576 feet tall.
Recreational maths with 972984342513697969
- 972984342513697969 backwards is 969796315243489279
- The number of decimal digits it has is: 18
- The sum of 972984342513697969's digits is 103
- More coming soon!
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The information we have on file for 972984342513697969 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 972984342513697969, math, Factors of 972984342513697969, curriculum, school, college, exams, university, Prime factorization of 972984342513697969, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two quadrillion, nine hundred eighty-four trillion, three hundred forty-two billion, five hundred thirteen million, six hundred ninety-seven thousand, nine hundred sixty-nine.