972981102341700012
972,981,102,341,700,012 is an even composite number composed of six prime numbers multiplied together.
What does the number 972981102341700012 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
972981102341700012 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 972981102341700012:
22 × 3 × 114 × 172 × 372 × 2413
(2 × 2 × 3 × 11 × 11 × 11 × 11 × 17 × 17 × 37 × 37 × 241 × 241 × 241)See below for interesting mathematical facts about the number 972981102341700012 from the Numbermatics database.
Names of 972981102341700012
- Cardinal: 972981102341700012 can be written as Nine hundred seventy-two quadrillion, nine hundred eighty-one trillion, one hundred two billion, three hundred forty-one million, seven hundred thousand and twelve.
Scientific notation
- Scientific notation: 9.72981102341700012 × 1017
Factors of 972981102341700012
Divisors of 972981102341700012
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 121 132 148 187 204 222 241 242 289 363 374 407 444 482 484 561 578 629 723 726 748 814 867 964 1122 1156 1221 1258 1331 1369 1446 1452 1628 1734 1887 2057 2244 2442 2516 2651 2662 2738 2892 3179 3468 3774 3993 4097 4107 4114 4477 4884 5302 5324 5476 6171 6358 6919 7548 7953 7986 8194 8214 8228 8917 8954 9537 10604 10693 12291 12342 12716 13431 13838 14641 15059 15906 15972 16388 16428 17834 17908 19074 20757 21386 22627 23273 24582 24684 26751 26862 27676 29161 29282 30118 31812 32079 34969 35668 38148 41514 42772 43923 45067 45177 45254 46546 49164 49247 53502 53724 58081 58322 58564 60236 64158 67881 69649 69819 69938 76109 83028 87483 87846 90134 90354 90508 93092 98087 98494 104907 107004 116162 116644 117623 128316 135201 135762 139298 139638 139876 147741 151589 152218 165649 174243 174966 175692 180268 180708 196174 196988 208947 209814 228327 232324 235246 248897 256003 270402 271524 278596 279276 294261 295482 303178 304436 320771 329929 331298 348486 349932 352869 384659 392348 395641 417894 419628 454767 456654 470492 495737 496947 497794 512006 540804 541717 588522 590964 606356 638891 641542 659858 662596 696972 705738 746691 766139 768009 769318 791282 835788 837199 909534 913308 962313 987377 989787 991474 993894 995588 1024012 1078957 1083434 1153977 1177044 1186923 1277782 1283084 1293853 1319716 1411476 1487211 1493382 1532278 1536018 1538636 1582564 1625151 1667479 1674398 1819068 1822139 1916673 1924626 1974754 1979574 1982948 1987788 2148997 2157914 2166868 2298417 2307954 2373846 2511597 2555564 2577013 2587706 2816033 2962131 2974422 2986764 3064556 3072036 3236871 3250302 3334958 3348796 3528481 3629219 3644278 3833346 3849252 3881559 3949508 3959148 4231249 4297994 4315828 4352051 4596834 4615908 4747692 5002437 5023194 5154026 5175412 5453107 5466417 5608793 5632066 5924262 5948844 6446991 6473742 6500604 6669916 7027801 7056962 7258438 7288556 7666692 7731039 7763118 8427529 8448099 8462498 8595988 8704102 9193668 9209189 10004874 10046388 10308052 10585443 10861147 10887657 10906214 10932834 11217586 11264132 11848524 11868527 12693747 12893982 12947484 13056153 13997521 14055602 14113924 14232383 14516876 15462078 15526236 16359321 16785409 16826379 16855058 16896198 16924996 17408204 18342269 18418378 20009748 20043529 21083403 21170886 21722294 21775314 21812428 21865668 22435172 23638967 23737054 25282587 25387494 25787964 26112306 27627567 27995042 28111204 28347143 28464766 30924156 30976363 32583441 32718642 33570818 33652758 33710116 33792396 35605581 36532949 36684538 36836756 39921409 40087058 41992563 42166806 42341772 42697149 43444588 43550628 47277934 47474108 47872561 50356227 50565174 50774988 52224612 55026807 55255134 55990084 56694286 56929532 59984177 60130587 61696723 61952726 65166882 65437284 67141636 67305516 70916901 71211162 73065898 73369076 77305811 79512889 79842818 80174116 83985126 84333612 85041429 85394298 92702819 92929089 94555868 95349481 95745122 100712454 101130348 109598847 110053614 110510268 113388572 119472617 119764227 119968354 120261174 123393446 123905452 130333764 130553797 141833802 142422324 143617683 146131796 153972731 154611622 156556213 159025778 159685636 167970252 170082858 170788596 179952531 184639499 185090169 185405638 185858178 190698962 191490244 201424908 201764959 219197694 220107228 231917433 237957857 238538667 238945234 239528454 239936708 240522348 246786892 260028637 261107594 278108457 283667604 286048443 287235366 307945462 309223244 311818573 313112426 318051556 340165716 340739993 358417851 359905062 369278998 370180338 370811276 371716356 381397924 391661391 401862439 403529918 438395388 439135499 461918193 463834866 469668639 475915714 477077334 477890468 479056908 517908277 520057274 522215188 526598171 553918497 556216914 572096886 574470732 605294877 615890924 621060133 623637146 626224852 678663953 681479986 713873571 716835702 719810124 738557996 740360676 780085911 783322782 803724878 807059836 850363921 874641779 878270998 923836386 927669732 935455719 939337278 951831428 954154668 1019731009 1022219979 1035816554 1040114548 1048844291 1053196342 1107836994 1112433828 1144193772 1205587317 1210589754 1242120266 1247274292 1314198787 1317406497 1351719113 1357327906 1362959972 1427747142 1433671404 1553724831 1560171822 1566645564 1579794513 1607449756 1693700041 1700727842 1749283558 1756541996 1847672772 1863180399 1870911438 1878674556 2031034489 2035991859 2039462018 2044439958 2071633108 2097688582 2106392684 2215673988 2219414549 2411174634 2421179508 2484240532 2551091763 2617536427 2623925337 2628397574 2634812994 2703438226 2714655812 2855494284 2860315007 3059193027 3107449662 3120343644 3146532873 3159589026 3387400082 3401455684 3430004303 3498567116 3726360798 3741822876 3942596361 4045283569 4055157339 4062068978 4071983718 4078924036 4088879916 4195377164 4420486829 4438829098 4822349268 4830490489 5081100123 5102183526 5235072854 5247850674 5256795148 5269625988 5406876452 5696991047 5720630014 5792579881 6093103467 6118386054 6214899324 6293065746 6319178052 6658243647 6774800164 6831661463 6860008606 7452721596 7465303483 7852609281 7885192722 8090567138 8110314678 8124137956 8143967436 8580945021 8804440709 8840973658 8877658196 9621059569 9660980978 10162200246 10204367052 10290012909 10470145708 10495701348 11393982094 11441260028 11537287201 11585159762 12135850707 12186206934 12236772108 12586131492 13261460487 13316487294 13663322926 13720017212 14456186657 14491471467 14868910243 14930606966 15705218562 15770385444 16181134276 16220629356 17090973141 17161890042 17377739643 17608881418 17681947316 18630700451 19162606249 19242119138 19321961956 20324400492 20494984389 20580025818 22341379379 22395910449 22787964188 22979224921 23074574402 23170319524 24271701414 24372413868 26413322127 26522920974 26632974588 27326645852 28792900697 28863178707 28912373314 28982942934 29737820486 29861213932 31410437124 31463465077 34181946282 34323780084 34611861603 34755479286 35217762836 37261400902 37730047333 38325212498 38484238276 40989968778 41160051636 43368559971 44498119259 44606730729 44682758758 44791820898 45958449842 46149148804 48543402828 48625355119 52826644254 53045841948 55892101353 57487818747 57585801394 57726357414 57824746628 57965885868 59475640972 62666901517 62926930154 67024138137 68363892564 68937674763 69223723206 69510958572 74522801804 75148276093 75460094666 76650424996 81979937556 82118338313 86378702091 86737119942 88996238518 89213461458 89365517516 89583641796 91916899684 94390395231 96848847799 97250710238 105653288508 105831655259 111784202706 113190141999 114975637494 115171602788 115452714828 125333803034 125853860308 126910159211 133494357777 134048276274 137875349526 138447446412 145876065357 149675492053 150296552186 150920189332 163558012673 164236676626 172757404182 173474239884 177992477036 178426922916 188000704551 188780790462 193697695598 194501420476 204937704961 210788668739 211663310518 223568405412 225444828279 226380283998 229951274988 245755173169 246355014939 250667606068 252771474131 253820318422 266988715554 268096552548 275750699052 290546543397 291752130714 299350984106 300593104372 316721907667 317494965777 325764306233 327116025346 328473353252 345514808364 376001409102 377561580924 380730477633 387395391196 409875409922 421577337478 423326621036 449026476159 450889656558 452760567996 489479311849 490674038019 491510346338 492710029878 505542948262 507640636844 533977431108 534878906309 581093086794 583504261428 598701968212 614813114883 632366006217 633443815334 634989931554 651528612466 654232050692 689335916687 737265519507 752002818204 758314422393 761460955266 819750819844 826631037023 843154674956 898052952318 901779313116 950165723001 977292918699 978958623698 981348076038 983020692676 985420059756 1011085896524 1065337325789 1069757812618 1162186173588 1164148207849 1229626229766 1264732012434 1266887630668 1269979863108 1303057224932 1378671833374 1396011751321 1468437935547 1474531039014 1516628844786 1522921910532 1604636718927 1646430412583 1653262074046 1796105904636 1799138139403 1900331446002 1954585837398 1957917247396 1962696152076 2068007750061 2130674651578 2139515625236 2318675356129 2328296415698 2459252459532 2479893111069 2529464024868 2757343666748 2780486215441 2792023502642 2936875871094 2949062078028 3033257689572 3196011977367 3209273437854 3292860825166 3306524148092 3483940984337 3492444623547 3583407368563 3598276278806 3800662892004 3909171674796 4136015500122 4188035253963 4261349303156 4637350712258 4656592831396 4939291237749 4959786222138 5384272430339 5397414418209 5537993205961 5560972430882 5584047005284 5873751742188 6392023954734 6418546875708 6585721650332 6956026068387 6967881968674 6984889247094 7166814737126 7196552557612 7582695083557 8272031000244 8341458646323 8376070507926 9092941407253 9274701424516 9878582475498 9919572444276 10451822953011 10750222105689 10768544860678 10794828836418 11075986411922 11121944861764 11718710583679 12784047909468 13912052136774 13935763937348 13969778494188 14333629474252 15165390167114 16152817291017 16613979617883 16682917292646 16752141015852 18110734538413 18185882814506 19757164950996 19790519533433 20903645906022 21500444211378 21537089721356 21589657672836 22151972823844 22748085250671 23437421167358 25505428917419 27278824221759 27824104273548 30330780334228 30585348369851 32305634582034 33227959235766 33365834585292 35156131751037 36221469076826 36371765629012 39417481054193 39581039066866 41807291812044 43000888422756 45496170501342 46874842334716 51010857834838 54332203615239 54557648443518 59226996733729 59371558600299 60917925265571 61170696739702 64611269164068 66455918471532 70312263502074 72442938153652 76516286752257 78834962108386 79162078133732 90992341002684 91756045109553 102021715669676 108664407230478 109115296887036 118252443162579 118453993467458 118743117200598 121835850531142 122341393479404 128905816420469 140624527004148 153032573504514 157669924216772 177680990201187 182753775796713 183512090219106 199218079922543 217328814460956 236504886325158 236907986934916 237486234401196 243671701062284 257811632840938 280559718091609 306065147009028 336438832068361 355361980402374 365507551593426 367024180438212 386717449261407 398436159845086 433592291596123 473009772650316 515623265681876 561119436183218 597654239767629 670097177921281 672877664136722 710723960804748 731015103186852 773434898522814 796872319690172 841679154274827 867184583192246 1009316496205083 1122238872366436 1195308479535258 1300776874788369 1340194355842562 1345755328273444 1546869797045628 1683358308549654 1734369166384492 2010291533763843 2018632992410166 2191398879147973 2390616959070516 2601553749576738 2680388711685124 3366716617099308 4020583067527686 4037265984820332 4382797758295946 4769515207557353 5203107499153476 6574196637443919 7371068957134091 8041166135055372 8765595516591892 9539030415114706 13148393274887838 14308545622672059 14742137914268182 19078060830229412 22113206871402273 26296786549775676 28617091245344118 29484275828536364 44226413742804546 57234182490688236 81081758528475001 88452827485609092 162163517056950002 243245275585425003 324327034113900004 486490551170850006 972981102341700012
- Sum of all divisors σ(n): 2737840615274558640
- Sum of proper divisors (its aliquot sum) s(n): 1764859512932858628
- 972981102341700012 is an abundant number, because the sum of its proper divisors (1764859512932858628) is greater than itself. Its abundance is 791878410591158616
Bases of 972981102341700012
- Binary: 1101100000001011100100101000010100100011111010111001101011002
- Hexadecimal: 0xD80B928523EB9AC
- Base-36: 7E4D0JRMN1KC
Squares and roots of 972981102341700012
- 972981102341700012 squared (9729811023417000122) is 946692225514069712575105346200800144
- 972981102341700012 cubed (9729811023417000123) is 921113645158996810264613584468296085088956251614401728
-
The
square root of 972981102341700012 is 986398044.5751603435 -
The
cube root of 972981102341700012 is 990911.3474267947
Scales and comparisons
How big is 972981102341700012?- 972,981,102,341,700,012 seconds is equal to 30,937,789,426 years, 16 weeks, 1 day, 2 hours, 12 seconds.
-
To count from 1 to 972,981,102,341,700,012 would take you about ninety-two billion, eight hundred thirteen million, three hundred sixty-eight thousand, two hundred seventy-eight 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 972981102341700012 cubic inches would be around 82575.9 feet tall.
Recreational maths with 972981102341700012
- 972981102341700012 backwards is 210007143201189279
- The number of decimal digits it has is: 18
- The sum of 972981102341700012's digits is 57
- More coming soon!
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"Number 972981102341700012 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 972981102341700012 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/972981102341700012/
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The information we have on file for 972981102341700012 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 972981102341700012, math, Factors of 972981102341700012, curriculum, school, college, exams, university, Prime factorization of 972981102341700012, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two quadrillion, nine hundred eighty-one trillion, one hundred two billion, three hundred forty-one million, seven hundred thousand and twelve.