148131375467220992
148,131,375,467,220,992 is an even composite number composed of five prime numbers multiplied together.
148131375467220992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 148131375467220992:
212 × 73 × 113 × 613 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 11 × 61 × 61 × 61 × 349)See below for interesting mathematical facts about the number 148131375467220992 from the Numbermatics database.
Names of 148131375467220992
- Cardinal: 148131375467220992 can be written as One hundred forty-eight quadrillion, one hundred thirty-one trillion, three hundred seventy-five billion, four hundred sixty-seven million, two hundred twenty thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.48131375467220992 × 1017
Factors of 148131375467220992
Divisors of 148131375467220992
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 61 64 77 88 98 112 121 122 128 154 176 196 224 242 244 256 308 343 349 352 392 427 448 484 488 512 539 616 671 686 698 704 784 847 854 896 968 976 1024 1078 1232 1331 1342 1372 1396 1408 1568 1694 1708 1792 1936 1952 2048 2156 2443 2464 2662 2684 2744 2792 2816 2989 3136 3388 3416 3584 3721 3773 3839 3872 3904 4096 4312 4697 4886 4928 5324 5368 5488 5584 5632 5929 5978 6272 6776 6832 7168 7381 7442 7546 7678 7744 7808 8624 9317 9394 9772 9856 10648 10736 10976 11168 11264 11858 11956 12544 13552 13664 14336 14762 14884 15092 15356 15488 15616 17101 17248 18634 18788 19544 19712 20923 21289 21296 21472 21952 22336 22528 23716 23912 25088 26047 26873 27104 27328 28672 29524 29768 30184 30712 30976 31232 32879 34202 34496 37268 37576 39088 39424 40931 41503 41846 42229 42578 42592 42944 43904 44672 45056 47432 47824 50176 51667 52094 53746 54208 54656 59048 59536 60368 61424 61952 62464 65219 65758 68404 68992 74536 75152 78176 78848 81191 81862 83006 83692 84458 85156 85184 85888 87808 89344 94864 95648 100352 103334 104188 107492 108416 109312 118096 119072 119707 120736 122848 123904 124928 130438 131516 136808 137984 149023 149072 150304 156352 157696 162382 163724 166012 167384 168916 170312 170368 171776 175616 178688 182329 188111 189728 191296 200704 206668 208376 214984 216832 218624 226981 230153 234179 236192 238144 239414 241472 245696 247808 249856 260876 263032 273616 275968 286517 295603 298046 298144 300608 312704 315392 324764 327448 332024 334768 337832 340624 340736 343552 351232 357376 361669 364658 376222 379456 382592 413336 416752 429968 433664 437248 450241 453962 456533 460306 464519 468358 472384 476288 478828 482944 491392 495616 521752 526064 547232 551936 568337 573034 591206 596092 596288 601216 625408 649528 654896 664048 669536 675664 681248 681472 687104 702464 714752 723338 729316 752444 758912 765184 826672 833504 859936 867328 874496 900482 907924 913066 920612 929038 936716 944768 952576 957656 965888 982784 1043161 1043504 1052128 1094464 1103872 1136674 1146068 1182412 1192184 1192576 1202432 1250816 1276303 1298629 1299056 1309792 1316777 1328096 1339072 1351328 1362496 1362944 1374208 1404928 1429504 1446676 1458632 1504888 1517824 1530368 1588867 1639253 1653344 1667008 1719872 1734656 1748992 1800964 1815848 1826132 1841224 1858076 1873432 1889536 1905152 1915312 1931776 1965568 2005619 2069221 2086322 2087008 2104256 2188928 2207744 2273348 2292136 2364824 2384368 2385152 2404864 2496791 2501632 2531683 2552606 2575969 2597258 2598112 2619584 2633554 2656192 2678144 2702656 2724992 2725888 2748416 2893352 2917264 3009776 3035648 3060736 3151687 3177734 3251633 3278506 3306688 3334016 3439744 3469312 3601928 3631696 3652264 3682448 3716152 3746864 3779072 3810304 3830624 3863552 3931136 3978359 4011238 4138442 4172644 4174016 4208512 4377856 4546696 4584272 4729648 4768736 4770304 4809728 4952651 4993582 5003264 5063366 5105212 5151938 5194516 5196224 5239168 5267108 5312384 5356288 5405312 5449984 5451776 5786704 5834528 6019552 6071296 6121472 6303374 6355468 6503266 6557012 6613376 6668032 6879488 7203856 7263392 7302127 7304528 7364896 7432304 7493728 7558144 7620608 7661248 7727104 7862272 7956718 8022476 8276884 8345288 8348032 8417024 8755712 9090403 9093392 9168544 9459296 9537472 9540608 9619456 9905302 9987164 10006528 10126732 10210424 10303876 10389032 10392448 10478336 10534216 10624768 10712576 10810624 10899968 11122069 11474771 11573408 11669056 12039104 12142592 12242944 12606748 12710936 13006532 13114024 13226752 13336064 13758976 14039333 14284919 14407712 14484547 14526784 14604254 14609056 14729792 14864608 14987456 15116288 15241216 15322496 15454208 15724544 15913436 16044952 16553768 16690576 16696064 16834048 17477537 17511424 18031783 18180806 18186784 18337088 18918592 19074944 19081216 19238912 19810604 19974328 20253464 20420848 20607752 20778064 20784896 20956672 21068432 21249536 21425152 21621248 21799936 22061809 22244138 22761431 22949542 23146816 23338112 24078208 24285184 25213496 25421872 26013064 26228048 26453504 26672128 27464701 27517952 27848513 28078666 28335659 28569838 28815424 28969094 29053568 29208508 29218112 29459584 29729216 29974912 30232576 30644992 31826872 32089904 33107536 33381152 33392128 33668096 34668557 34955074 35022848 36063566 36361612 36373568 36674176 37837184 38149888 38162432 39621208 39948656 40506928 40841696 41215504 41556128 41569792 41913344 42136864 42499072 42850304 43242496 43599872 44123618 44488276 45522862 45899084 46293632 46676224 48156416 50426992 50843744 52026128 52456096 52907008 53344256 54929402 55035904 55697026 56157332 56671318 57139676 57630848 57938188 58107136 58417016 58436224 58919168 59458432 59949824 61289984 63632821 63653744 64179808 66215072 66762304 66784256 67336192 69337114 69910148 70045696 72127132 72723224 72747136 73348352 75674368 76299776 77854483 79216369 79242416 79897312 80323397 81013856 81683392 82431008 83112256 83139584 83826688 84273728 84998144 85700608 86484992 87199744 88247236 88976552 91045724 91798168 92587264 93352448 96312832 99994433 100853984 101687488 104052256 104912192 105814016 106688512 109858804 110071808 111394052 112314664 113342636 114279352 115261696 115876376 116214272 116834032 116872448 117838336 118916864 119899648 122342759 122579968 126222481 127265642 127307488 128359616 132430144 133524608 133568512 134672384 138674228 139820296 144254264 145446448 145494272 146696704 151348736 152599552 154432663 155708966 157134109 158432738 158484832 159330017 159794624 160646794 162027712 163366784 164862016 166224512 166279168 167653376 168547456 169996288 172969984 176494472 177953104 182091448 183596336 185174528 186704896 192252907 192625664 198349613 199988866 201707968 203374976 208104512 209824384 211628032 219717608 222788104 224629328 226685272 228558704 230523392 231752752 232428544 233668064 233744896 235676672 237833728 239799296 242679899 244685518 245159936 252444962 254531284 254614976 256719232 264860288 267049216 267137024 277348456 279640592 288508528 290892896 290988544 293393408 302111711 302697472 305199104 308865326 311417932 314268218 316865476 316969664 318660034 319589248 321293588 324055424 326733568 329724032 332449024 332558336 337094912 352988944 355906208 364182896 367192672 370349056 373409792 384505814 385251328 396699226 399977732 403415936 406749952 416209024 419648768 439435216 445429747 445576208 449258656 453370544 457117408 461046784 463505504 464857088 467336128 467489792 471353344 475667456 479598592 485359798 489371036 490319872 504889924 509062568 509229952 513438464 529720576 534098432 554514583 554696912 559281184 577017056 581785792 581977088 586786816 604223422 605394944 610398208 617730652 622835864 628536436 633730952 633939328 637320068 639178496 642587176 648110848 653467136 659448064 664898048 674189824 699961031 705977888 711812416 728365792 734385344 740698112 746819584 769011628 770502656 793398452 799955464 806831872 813499904 832418048 839297536 856399313 871380059 878870432 883557367 890859494 891152416 898517312 906741088 914234816 922093568 927011008 929714176 934672256 934979584 942706688 951334912 959197184 970719596 978742072 1009779848 1018125136 1018459904 1026876928 1059441152 1068196864 1099938763 1109029166 1109393824 1118562368 1154034112 1163571584 1163954176 1173573632 1208446844 1210789888 1235461304 1245671728 1257072872 1267461904 1267878656 1274640136 1278356992 1285174352 1296221696 1306934272 1318896128 1329796096 1345770349 1348379648 1388447291 1399922062 1411955776 1423624832 1456731584 1468770688 1481396224 1538023256 1586796904 1599910928 1613663744 1626999808 1664836096 1678595072 1698759293 1712798626 1728475199 1742760118 1757740864 1767114734 1781718988 1782304832 1797034624 1813482176 1828469632 1844187136 1854022016 1869344512 1869959168 1902669824 1941439192 1957484144 2019559696 2036250272 2036919808 2053753856 2114781977 2118882304 2136393728 2199877526 2218058332 2218787648 2237124736 2308068224 2327143168 2327908352 2416893688 2470922608 2491343456 2514145744 2534923808 2535757312 2549280272 2556713984 2570348704 2592443392 2613868544 2637792256 2659592192 2691540698 2696759296 2776894582 2799844124 2823911552 2847249664 2913463168 2937541376 3076046512 3173593808 3199821856 3227327488 3253999616 3329672192 3357190144 3397518586 3425597252 3456950398 3485520236 3515481728 3534229468 3563437976 3564609664 3594069248 3626964352 3656939264 3708044032 3738689024 3881602081 3882878384 3914968288 4039119392 4072500544 4073839616 4107507712 4229563954 4237764608 4272787456 4399755052 4436116664 4437575296 4474249472 4616136448 4654286336 4833787376 4899727217 4941845216 4982686912 5028291488 5069847616 5071514624 5098560544 5113427968 5140697408 5184886784 5227737088 5275584512 5319184384 5383081396 5393518592 5553789164 5599688248 5647823104 5694499328 5826926336 5875082752 6099660413 6152093024 6347187616 6399643712 6454654976 6507999232 6659344384 6714380288 6795037172 6851194504 6913900796 6971040472 7030963456 7068458936 7126875952 7129219328 7188138496 7253928704 7313878528 7416088064 7477378048 7699571341 7763204162 7765756768 7829936576 8078238784 8145001088 8147679232 8215015424 8459127908 8475529216 8799510104 8872233328 8875150592 8948498944 9232272896 9308572672 9420392443 9585180649 9667574752 9719131037 9799454434 9883690432 9965373824 10056582976 10139695232 10143029248 10197121088 10226855936 10281394816 10369773568 10551169024 10766162792 11107578328 11199376496 11295646208 11388998656 11653852672 11750165504 12099326393 12199320826 12304186048 12694375232 12799287424 12909309952 13318688768 13590074344 13702389008 13827801592 13942080944 14061926912 14136917872 14253751904 14258438656 14376276992 14507857408 14627757056 14803473839 14832176128 14954756096 15399142682 15526408324 15531513536 15659873152 16156477568 16290002176 16295358464 16918255816 17599020208 17744466656 17750301184 17896997888 18464545792 18617145344 18840784886 19170361298 19335149504 19438262074 19598908868 19767380864 19930747648 20113165952 20279390464 20286058496 20394242176 20562789632 21532325584 22215156656 22398752992 22591292416 22777997312 23307705344 23500331008 24198652786 24398641652 24608372096 25388750464 25598574848 27171214567 27180148688 27404778016 27655603184 27884161888 28123853824 28273835744 28507503808 28516877312 28752553984 29015714816 29255514112 29606947678 29664352256 29909512192 30798285364 31052816648 31063027072 31319746304 32312955136 32580004352 33836511632 35198040416 35488933312 35500602368 35793995776 36929091584 37234290688 37681569772 38340722596 38670299008 38876524148 39197817736 39534761728 39861495296 40226331904 40558780928 40788484352 41125579264 42697622891 43064651168 44430313312 44797505984 45182584832 45555994624 46615410688 47000662016 48397305572 48797283304 49216744192 50777500928 51197149696 53896999387 54342429134 54360297376 54809556032 55311206368 55768323776 56247707648 56547671488 57015007616 57033754624 57505107968 58031429632 58511028224 59213895356 59328704512 61596570728 62105633296 62126054144 62639492608 64625910272 65160008704 67096264543 67673023264 70396080832 70977866624 71001204736 71587991552 73858183168 75363139544 76681445192 77340598016 77753048296 78395635472 79069523456 79722990592 80452663808 81117561856 81576968704 82251158528 84695284751 85395245782 86129302336 88860626624 89595011968 90365169664 93230821376 96794611144 97594566608 98433488384 101555001856 102394299392 103624316873 105436987139 107793998774 108684858268 108720594752 109619112064 110622412736 111536647552 112495415296 113095342976 114030015232 114067509248 116062859264 118427790712 123193141456 124211266592 124252108288 125278985216 129251820544 130320017408 134192529086 135346046528 140792161664 141955733248 142002409472 150726279088 153362890384 154681196032 155506096592 156791270944 158139046912 159445981184 160905327616 162235123712 163153937408 164502317056 169390569502 170790491564 172258604672 177721253248 179190023936 193589222288 195189133216 196866976768 203110003712 204788598784 207248633746 210873974278 215587997548 217369716536 217441189504 219238224128 221244825472 223073295104 226190685952 228060030464 236855581424 246386282912 248422533184 248504216576 250557970432 258503641088 260640034816 268385058172 270692093056 281584323328 283911466496 298883360237 301452558176 306725780768 309362392064 311012193184 313582541888 316278093824 318891962368 321810655232 324470247424 326307874816 329004634112 338781139004 341580983128 344517209344 355442506496 358380047872 387178444576 390378266432 393733953536 406220007424 409577197568 414497267492 421747948556 431175995096 434739433072 434882379008 438476448256 442489650944 446146590208 452381371904 456120060928 469673851801 473711162848 492772565824 496845066368 497008433152 501115940864 517007282176 536770116344 541384186112 563168646656 567822932992 592866993257 597766720474 602905116352 613451561536 618724784128 622024386368 627165083776 632556187648 643621310464 652615749632 677562278008 683161966256 689034418688 710885012992 716760095744 738058909973 774356889152 780756532864 787467907072 812440014848 828994534984 843495897112 862351990192 869478866144 869764758016 876952896512 884979301888 892293180416 904762743808 912240121856 939347703602 947422325696 985545131648 993690132736 994016866304 1073540232688 1082768372224 1126337293312 1135645865984 1185733986514 1195533440948 1205810232704 1226903123072 1237449568256 1244048772736 1254330167552 1355124556016 1366323932512 1378068837376 1421770025984 1433520191488 1476117819946 1548713778304 1561513065728 1657989069968 1686991794224 1724703980384 1738957732288 1739529516032 1753905793024 1769958603776 1784586360832 1809525487616 1824480243712 1878695407204 1894844651392 1971090263296 1987380265472 2147080465376 2165536744448 2252674586624 2271291731968 2371467973028 2391066881896 2411620465408 2453806246144 2488097545472 2508660335104 2710249112032 2732647865024 2756137674752 2843540051968 2867040382976 2952235639892 3097427556608 3123026131456 3287716962607 3315978139936 3373983588448 3449407960768 3477915464576 3479059032064 3507811586048 3539917207552 3569172721664 3619050975232 3757390814408 3789689302784 3942180526592 3974760530944 4294160930752 4331073488896 4505349173248 4742935946056 4782133763792 4823240930816 4907612492288 4976195090944 5017320670208 5166412369811 5420498224064 5465295730048 5512275349504 5687080103936 5904471279784 6194855113216 6246052262912 6575433925214 6631956279872 6747967176896 6898815921536 6955830929152 6958118064128 7079834415104 7514781628816 7579378605568 7884361053184 7949521061888 8588321861504 8662146977792 9485871892112 9564267527584 9646481861632 9815224984576 9952390181888 10034641340416 10332824739622 10840996448128 10930591460096 11808942559568 12389710226432 12492104525824 13150867850428 13263912559744 13495934353792 13797631843072 13911661858304 15029563257632 15158757211136 15768722106368 15899042123776 17176643723008 18971743784224 19128535055168 19292963723264 19630449969152 19904780363776 20069282680832 20665649479244 21681992896256 21861182920192 23617885119136 24779420452864 24984209051648 26301735700856 26527825119488 26991868707584 27595263686144 27823323716608 30059126515264 30317514422272 31537444212736 34353287446016 36164886588677 37943487568448 38257070110336 38585927446528 39260899938304 39809560727552 41331298958488 43363985792512 43722365840384 47235770238272 49558840905728 52603471401712 53055650238976 53983737415168 55190527372288 55646647433216 60118253030528 60635028844544 68706574892032 72329773177354 75886975136896 76514140220672 82662597916976 86727971585024 87444731680768 94471540476544 105206942803424 106111300477952 107967474830336 110381054744576 111293294866432 120236506061056 137413149784064 144659546354708 151773950273792 153028280441344 165325195833952 173455943170048 174889463361536 188943080953088 210413885606848 212222600955904 215934949660672 220762109489152 240473012122112 274826299568128 289319092709416 303547900547584 306056560882688 330650391667904 346911886340096 377886161906176 420827771213696 424445201911808 431869899321344 480946024244224 578638185418832 607095801095168 612113121765376 661300783335808 755772323812352 841655542427392 961892048488448 1157276370837664 1214191602190336 1224226243530752 1322601566671616 1511544647624704 1683311084854784 1923784096976896 2314552741675328 2428383204380672 2645203133343232 3023089295249408 3366622169709568 4629105483350656 5290406266686464 6733244339419136 9258210966701312 10580812533372928 13466488678838272 18516421933402624 21161625066745856 37032843866805248 74065687733610496 148131375467220992
- Sum of all divisors σ(n): 387412916903040000
- Sum of proper divisors (its aliquot sum) s(n): 239281541435819008
- 148131375467220992 is an abundant number, because the sum of its proper divisors (239281541435819008) is greater than itself. Its abundance is 91150165968598016
Bases of 148131375467220992
- Binary: 10000011100100010010110011011111101101000001010000000000002
- Hexadecimal: 0x20E44B37ED05000
- Base-36: 14IK6UFUEOZK
Squares and roots of 148131375467220992
- 148131375467220992 squared (1481313754672209922) is 21942904397810801165943455365464064
- 148131375467220992 cubed (1481313754672209923) is 3250432610193446526669132364604177145167842522431488
-
The
square root of 148131375467220992 is 384878390.4913615593 -
The
cube root of 148131375467220992 is 529113.7145072509
Scales and comparisons
How big is 148131375467220992?- 148,131,375,467,220,992 seconds is equal to 4,710,119,539 years, 22 weeks, 2 days, 2 hours, 16 minutes, 32 seconds.
-
To count from 1 to 148,131,375,467,220,992 would take you about fourteen billion, one hundred thirty million, three hundred fifty-eight thousand, six hundred eighteen 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 148131375467220992 cubic inches would be around 44092.8 feet tall.
Recreational maths with 148131375467220992
- 148131375467220992 backwards is 299022764573131841
- The number of decimal digits it has is: 18
- The sum of 148131375467220992's digits is 74
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 148131375467220992 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 148131375467220992 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/148131375467220992/
Chicago style:
Numbermatics. 2024. "Number 148131375467220992 - Facts about the integer". https://numbermatics.com/n/148131375467220992/
The information we have on file for 148131375467220992 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 148131375467220992, math, Factors of 148131375467220992, curriculum, school, college, exams, university, Prime factorization of 148131375467220992, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-eight quadrillion, one hundred thirty-one trillion, three hundred seventy-five billion, four hundred sixty-seven million, two hundred twenty thousand, nine hundred ninety-two.