48311945344903942144
48,311,945,344,903,942,144 is an even composite number composed of four prime numbers multiplied together.
48311945344903942144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred seventy-five divisors.
Prime factorization of 48311945344903942144:
212 × 232 × 414 × 534
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 23 × 23 × 41 × 41 × 41 × 41 × 53 × 53 × 53 × 53)See below for interesting mathematical facts about the number 48311945344903942144 from the Numbermatics database.
Names of 48311945344903942144
- Cardinal: 48311945344903942144 can be written as Forty-eight quintillion, three hundred eleven quadrillion, nine hundred forty-five trillion, three hundred forty-four billion, nine hundred three million, nine hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8311945344903942144 × 1019
Factors of 48311945344903942144
Divisors of 48311945344903942144
- Number of divisors d(n): 975
-
Complete list of divisors:
1 2 4 8 16 23 32 41 46 53 64 82 92 106 128 164 184 212 256 328 368 424 512 529 656 736 848 943 1024 1058 1219 1312 1472 1681 1696 1886 2048 2116 2173 2438 2624 2809 2944 3362 3392 3772 4096 4232 4346 4876 5248 5618 5888 6724 6784 7544 8464 8692 9752 10496 11236 11776 13448 13568 15088 16928 17384 19504 20992 21689 22472 23552 26896 27136 28037 30176 33856 34768 38663 39008 41984 43378 44944 47104 49979 53792 54272 56074 60352 64607 67712 68921 69536 77326 78016 83968 86756 89093 89888 94208 99958 107584 108544 112148 115169 120704 129214 135424 137842 139072 148877 154652 156032 167936 173512 178186 179776 199916 215168 217088 224296 230338 241408 258428 270848 275684 278144 297754 309304 312064 347024 356372 359552 399832 430336 448592 460676 482816 516856 541696 551368 556288 595508 618608 624128 694048 712744 719104 799664 860672 889249 897184 921352 965632 1033712 1083392 1102736 1112576 1149517 1191016 1237216 1248256 1388096 1425488 1438208 1485961 1585183 1599328 1721344 1778498 1794368 1842704 1931264 2049139 2067424 2166784 2205472 2225152 2299034 2382032 2474432 2496512 2648887 2776192 2825761 2850976 2876416 2971922 3170366 3198656 3424171 3442688 3556996 3588736 3652813 3685408 3862528 4098278 4134848 4410944 4450304 4598068 4721929 4764064 4948864 4993024 5297774 5552384 5651522 5701952 5752832 5943844 6103957 6340732 6397312 6848342 6885376 7113992 7177472 7305626 7370816 7890481 8196556 8269696 8821888 8900608 9196136 9443858 9528128 9897728 10595548 11104768 11303044 11403904 11505664 11887688 12207914 12681464 12794624 13696684 14227984 14354944 14611252 14741632 15780962 16393112 16539392 17643776 18392272 18887716 19056256 19795456 21191096 22209536 22606088 22807808 23775376 24415828 25362928 25589248 27393368 28455968 28709888 29222504 29483264 31561924 32786224 33078784 35287552 36459209 36784544 37775432 38112512 39590912 42382192 44419072 45212176 45615616 47130197 47550752 48831656 50725856 51178496 54786736 56911936 57419776 58445008 58966528 60924401 63123848 64992503 65572448 66157568 70575104 72918418 73569088 75550864 76225024 78755933 79181824 84014699 84764384 88838144 90424352 91231232 94260394 95101504 97663312 101451712 102356992 108604367 109573472 113823872 114839552 116890016 117933056 121848802 126247696 129985006 131144896 132315136 140391011 141150208 145836836 147138176 149765333 151101728 152450048 157511866 158363648 168029398 169528768 180848704 181481063 182462464 188520788 190203008 193599089 195326624 202903424 204713984 217208734 219146944 227647744 233780032 235866112 243697604 250262237 252495392 259970012 262289792 264630272 280782022 282300416 291673672 294276352 299530666 302203456 304900096 315023732 323509721 336058796 339057536 361697408 362962126 364924928 377041576 380406016 387198178 390653248 405806848 434417468 438293888 455295488 467560064 471732224 487395208 500524474 504990784 519940024 524579584 561564044 583347344 588552704 599061332 604406912 609800192 630047464 647019442 672117592 678115072 723394816 725924252 754083152 760812032 774396356 781306496 811613696 868834936 876587776 910590976 935120128 974790416 1001048948 1009981568 1039880048 1049159168 1123128088 1166694688 1177105408 1198122664 1208813824 1260094928 1294038884 1344235184 1356230144 1446789632 1451848504 1494827569 1508166304 1521624064 1548792712 1562612992 1623227392 1737669872 1753175552 1821181952 1870240256 1932338077 1949580832 2002097896 2019963136 2079760096 2098318336 2246256176 2333389376 2354210816 2396245328 2417627648 2497900441 2520189856 2588077768 2688470368 2712460288 2893579264 2903697008 2989655138 3016332608 3043248128 3097585424 3125225984 3228993253 3246454784 3444602659 3475339744 3506351104 3642363904 3740480512 3864676154 3899161664 4004195792 4039926272 4159520192 4174064449 4196636672 4452779047 4492512352 4666778752 4708421632 4792490656 4835255296 4995800882 5040379712 5176155536 5376940736 5424920576 5756031451 5787158528 5807394016 5979310276 6032665216 6086496256 6195170848 6250451968 6457986506 6492909568 6889205318 6950679488 7012702208 7440723583 7480961024 7729352308 7798323328 7937562649 8008391584 8079852544 8319040384 8348128898 8393273344 8905558094 8985024704 9333557504 9584981312 9670510592 9991601764 10080759424 10260751717 10352311072 10753881472 10849841152 11512062902 11574317056 11614788032 11958620552 12065330432 12390341696 12500903936 12915973012 13263898561 13778410636 13901358976 14025404416 14881447166 14961922048 15458704616 15596646656 15875125298 16016783168 16159705088 16638080768 16696257796 17811116188 17970049408 18667115008 19169962624 19341021184 19983203528 20161518848 20521503434 20704622144 21507762944 23024125804 23229576064 23917241104 24130660864 24780683392 25001807872 25831946024 26527797122 27556821272 27802717952 29762894332 30917409232 31193293312 31750250596 32033566336 32319410176 33276161536 33392515592 35622232376 35940098816 37334230016 38339925248 39966407056 40323037696 41043006868 41409244288 43015525888 46048251608 46459152128 47834482208 48261321728 49561366784 51663892048 53055594244 55113642544 55605435904 59525788664 61834818464 62386586624 63500501192 64067132672 66552323072 66785031184 71244464752 71880197632 74668460032 76679850496 79225861157 79932814112 80646075392 82086013736 82818488576 86031051776 92096503216 92918304256 95668964416 96522643456 99122733568 102413918081 103327784096 106111188488 110227285088 111210871808 119051577328 123669636928 124773173248 127001002384 128134265344 132388723373 133104646144 133570062368 142488929504 143760395264 149336920064 153359700992 158451722314 159865628224 161292150784 164172027472 165636977152 171136642409 172062103552 182563940927 184193006432 185836608512 191337928832 193045286912 198245467136 204827836162 206655568192 212222376976 220454570176 222421743616 235997289491 238103154656 247339273856 249546346496 254002004768 256268530688 264777446746 266209292288 267140124736 284977859008 287520790528 305069666903 306719401984 316903444628 319731256448 322584301568 328344054944 331273954304 342273284818 344124207104 365127881854 368386012864 371673217024 382675857664 396490934272 409655672324 413311136384 420690820397 424444753952 440909140352 444843487232 471994578982 476206309312 494678547712 508004009536 512537061376 529554893492 534280249472 543819841001 569955718016 575041581056 610139333806 613438803968 633806889256 639462512896 656688109888 662547908608 684546569636 730255763708 736772025728 743346434048 765351715328 792981868544 819311344648 826622272768 841381640794 848889507904 881818280704 943989157964 952412618624 989357095424 1016008019072 1025074122752 1059109786984 1068560498944 1087639682002 1139911436032 1220278667612 1267613778512 1278925025792 1313376219776 1325095817216 1369093139272 1460511527416 1473544051456 1530703430656 1638622689296 1653244545536 1682763281588 1697779015808 1763636561408 1887978315928 1904825237248 1978714190848 2032016038144 2118219573968 2137120997888 2175279364004 2279822872064 2440557335224 2535227557024 2557850051584 2626752439552 2738186278544 2921023054832 2947088102912 3061406861312 3277245378592 3306489091072 3365526563176 3395558031616 3527273122816 3775956631856 3809650474496 3957428381696 4064032076288 4198970641321 4236439147936 4274241995776 4350558728008 4559645744128 4881114670448 5070455114048 5115700103168 5253504879104 5427937658293 5476372557088 5842046109664 5894176205824 6122813722624 6554490757184 6612978182144 6731053126352 6791116063232 7016602338769 7054546245632 7551913263712 7619300948992 7914856763392 8128064152576 8397941282642 8472878295872 8548483991552 8701117456016 9119291488256 9675888869131 9762229340896 10140910228096 10231400206336 10507009758208 10855875316586 10952745114176 11684092219328 11788352411648 12507856343023 13108981514368 13225956364288 13462106252704 13582232126464 14033204677538 14109092491264 15103826527424 15238601897984 16256128305152 16795882565284 16945756591744 17096967983104 17402234912032 18238582976512 19351777738262 19524458681792 20281820456192 21014019516416 21711750633172 21905490228352 22296613481041 23368184438656 23576704823296 25015712686046 26217963028736 26924212505408 27164464252928 28066409355076 30207653054848 30477203795968 32512256610304 33591765130568 33891513183488 34804469824064 38703555476524 39048917363584 40563640912384 42028039032832 43423501266344 43810980456704 44593226962082 46736368877312 50031425372092 52435926057472 53848425010816 54328928505856 56132818710152 60415306109696 67183530261136 67783026366976 69608939648128 77407110953048 78097834727168 81127281824768 86847002532688 87621960913408 89186453924164 93472737754624 100062850744184 104871852114944 107696850021632 112265637420304 120830612219392 134367060522272 135566052733952 139217879296256 154814221906096 156195669454336 162254563649536 173694005065376 175243921826816 178372907848328 186945475509248 200125701488368 209743704229888 215393700043264 222545443990013 224531274840608 241661224438784 268734121044544 271132105467904 278435758592512 287680695889529 309628443812192 312391338908672 324509127299072 347388010130752 350487843653632 356745815696656 373890951018496 400251402976736 419487408459776 430787400086528 445090887980026 449062549681216 483322448877568 512822110063943 537468242089088 542264210935808 556871517185024 575361391779058 619256887624384 624782677817344 694776020261504 700975687307264 713491631393312 747781902036992 800502805953472 861574800173056 890181775960052 898125099362432 966644897755136 1025644220127886 1074936484178176 1113743034370048 1150722783558116 1238513775248768 1249565355634688 1389552040523008 1426983262786624 1601005611906944 1723149600346112 1780363551920104 1796250198724864 2051288440255772 2149872968356352 2227486068740096 2301445567116232 2477027550497536 2779104081046016 2853966525573248 3202011223813888 3560727103840208 3592500397449728 4102576880511544 4299745936712704 4602891134232464 4954055100995072 5558208162092032 5707933051146496 6404022447627776 7121454207680416 7185000794899456 8205153761023088 8599491873425408 9205782268464928 9908110201990144 11116416324184064 11415866102292992 11794908531470689 12808044895255552 14242908415360832 14370001589798912 16410307522046176 17198983746850816 18411564536929856 19816220403980288 22232832648368128 22831732204585984 23589817062941378 25616089790511104 28485816830721664 28740003179597824 32820615044092352 36823129073859712 39632440807960576 45663464409171968 47179634125882756 51232179581022208 56971633661443328 65641230088184704 73646258147719424 91326928818343936 94359268251765512 113943267322886656 131282460176369408 147292516295438848 188718536503531024 227886534645773312 262564920352738816 294585032590877696 377437073007062048 455773069291546624 525129840705477632 589170065181755392 754874146014124096 911546138583093248 1050259681410955264 1178340130363510784 1509748292028248192 2100519362821910528 3019496584056496384 6038993168112992768 12077986336225985536 24155972672451971072 48311945344903942144
- Sum of all divisors σ(n): 105510905232761104615
- Sum of proper divisors (its aliquot sum) s(n): 57198959887857162471
- 48311945344903942144 is an abundant number, because the sum of its proper divisors (57198959887857162471) is greater than itself. Its abundance is 8887014542953220327
Bases of 48311945344903942144
- Binary: 1010011110011101101000001001010010110100110001011000010000000000002
- Hexadecimal: 0x29E768252D3161000
- Base-36: A71URBKZFSDTS
Squares and roots of 48311945344903942144
- 48311945344903942144 squared (483119453449039421442) is 2334044063008985685246949466471699316736
- 48311945344903942144 cubed (483119453449039421443) is 112762209204687649401035823378498134583133860472877674921984
-
48311945344903942144 is a
perfect square number . Itssquare root is 6950679488 -
The
cube root of 48311945344903942144 is 3642097.0020700365
Scales and comparisons
How big is 48311945344903942144?- 48,311,945,344,903,942,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,311,945,344,903,942,144 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 48311945344903942144 cubic inches would be around 303508.1 feet tall.
Recreational maths with 48311945344903942144
- 48311945344903942144 backwards is 44124930944354911384
- 48311945344903942144 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 48311945344903942144's digits is 82
- More coming soon!
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"Number 48311945344903942144 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 48311945344903942144 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/48311945344903942144/
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The information we have on file for 48311945344903942144 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 48311945344903942144, math, Factors of 48311945344903942144, curriculum, school, college, exams, university, Prime factorization of 48311945344903942144, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, three hundred eleven quadrillion, nine hundred forty-five trillion, three hundred forty-four billion, nine hundred three million, nine hundred forty-two thousand, one hundred forty-four.