48118745974936000
48,118,745,974,936,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48118745974936000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
48118745974936000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 48118745974936000:
26 × 53 × 7 × 132 × 29 × 132412
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 13 × 29 × 13241 × 13241)See below for interesting mathematical facts about the number 48118745974936000 from the Numbermatics database.
Names of 48118745974936000
- Cardinal: 48118745974936000 can be written as Forty-eight quadrillion, one hundred eighteen trillion, seven hundred forty-five billion, nine hundred seventy-four million, nine hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.8118745974936 × 1016
Factors of 48118745974936000
Divisors of 48118745974936000
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 50 52 56 58 64 65 70 80 91 100 104 112 116 125 130 140 145 160 169 175 182 200 203 208 224 232 250 260 280 290 320 325 338 350 364 377 400 406 416 448 455 464 500 520 560 580 650 676 700 725 728 754 800 812 832 845 875 910 928 1000 1015 1040 1120 1160 1183 1300 1352 1400 1450 1456 1508 1600 1624 1625 1690 1750 1820 1856 1885 2000 2030 2080 2240 2275 2320 2366 2600 2639 2704 2800 2900 2912 3016 3248 3250 3380 3500 3625 3640 3770 4000 4060 4160 4225 4550 4640 4732 4901 5075 5200 5278 5408 5600 5800 5824 5915 6032 6496 6500 6760 7000 7250 7280 7540 8000 8120 8450 9100 9280 9425 9464 9802 10150 10400 10556 10816 11200 11375 11600 11830 12064 12992 13000 13195 13241 13520 14000 14500 14560 15080 16240 16900 18200 18850 18928 19604 20300 20800 21112 21125 22750 23200 23660 24128 24505 25375 26000 26390 26482 27040 28000 29000 29120 29575 30160 32480 33800 34307 36400 37700 37856 39208 40600 42224 42250 45500 46400 47125 47320 49010 50750 52000 52780 52964 54080 56000 58000 59150 60320 64960 65975 66205 67600 68614 72800 75400 75712 78416 81200 84448 84500 91000 92687 94250 94640 98020 101500 104000 105560 105928 116000 118300 120640 122525 131950 132410 135200 137228 145600 147875 150800 156832 162400 168896 169000 171535 172133 182000 185374 188500 189280 196040 203000 211120 211856 232000 236600 245050 263900 264820 270400 274456 295750 301600 313664 324800 329875 331025 338000 343070 344266 364000 370748 377000 378560 383989 392080 406000 422240 423712 463435 473200 490100 527800 529640 548912 591500 603200 612625 659750 662050 676000 686140 688532 728000 741496 754000 767978 784160 812000 844480 847424 857675 860665 926870 946400 980200 1055600 1059280 1097824 1183000 1204931 1225250 1319500 1324100 1352000 1372280 1377064 1482992 1508000 1535956 1568320 1624000 1655125 1715350 1721330 1853740 1892800 1919945 1960400 2111200 2118560 2195648 2237729 2317175 2366000 2409862 2450500 2639000 2648200 2687923 2744560 2754128 2965984 3016000 3071912 3310250 3430700 3442660 3707480 3839890 3920800 4222400 4237120 4288375 4303325 4475458 4634350 4732000 4819724 4901000 4991857 5278000 5296400 5375846 5489120 5508256 5931968 6024655 6143824 6620500 6861400 6885320 7414960 7679780 7841600 8576750 8606650 8950916 9268700 9464000 9599725 9639448 9802000 9983714 10556000 10592800 10751692 10978240 11016512 11188645 11585875 12049310 12287648 13241000 13439615 13722800 13770640 14829920 15359560 15664103 17153500 17213300 17901832 18537400 19199450 19278896 19604000 19967428 21112000 21185600 21503384 21516625 22377290 23171750 24098620 24575296 24959285 26482000 26879230 27445600 27541280 29659840 30123275 30719120 31328206 34307000 34426600 34942999 35803664 37074800 38398900 38557792 39208000 39934856 43006768 43033250 44754580 46343500 47998625 48197240 49918570 52964000 53758460 54891200 55082560 55943225 60246550 61438240 62656412 64894141 67198075 68614000 68853200 69885998 71607328 74149600 76797800 77115584 78320515 79869712 86013536 86066500 89509160 92687000 95997250 96394480 99837140 105928000 107516920 111886450 120493100 122876480 124796425 125312824 129788282 134396150 137228000 137706400 139771996 143214656 148299200 150616375 153595600 156641030 159739424 172027072 172133000 174714995 175324081 179018320 185374000 191994500 192788960 199674280 215033840 223772900 240986200 249592850 250625648 259576564 268792300 274456000 275412800 279543992 279716125 301232750 307191200 313282060 319478848 324470705 335990375 344266000 349429990 350648162 358036640 370748000 383989000 385577920 391602575 399348560 430067680 447545800 454258987 481972400 499185700 501251296 519153128 537584600 559087984 559432250 602465500 614382400 623982125 626564120 648941410 671980750 688532000 698859980 701296324 716073280 741496000 767978000 783205150 798697120 860135360 873574975 876620405 895091600 908517974 963944800 998371400 1002502592 1038306256 1075169200 1118175968 1118864500 1204931000 1227268567 1247964250 1253128240 1297882820 1343961500 1377064000 1397719960 1402592648 1535956000 1566410300 1597394240 1622353525 1747149950 1753240810 1790183200 1817035948 1927889600 1958012875 1996742800 2076612512 2150338400 2236351936 2237729000 2271294935 2279213053 2409862000 2454537134 2495928500 2506256480 2595765640 2687923000 2795439920 2805185296 3071912000 3132820600 3244707050 3494299900 3506481620 3580366400 3634071896 3916025750 3993485600 4153225024 4300676800 4367874875 4383102025 4475458000 4542589870 4558426106 4819724000 4909074268 4991857000 5012512960 5084398349 5191531280 5375846000 5590879840 5610370592 6136342835 6265641200 6489414100 6988599800 7012963240 7268143792 7832051500 7986971200 8111767625 8735749750 8766204050 8950916000 9085179740 9116852212 9639448000 9818148536 9983714000 10168796698 10383062560 10751692000 11181759680 11220741184 11356474675 11396065265 12272685670 12531282400 12978828200 13977199600 14025926480 14536287584 15664103000 15954491371 16223535250 17471499500 17532408100 17901832000 18170359480 18233704424 19636297072 19967428000 20337593396 20766125120 21503384000 21915510125 22712949350 22792130530 24545371340 25062564800 25421991745 25957656400 27954399200 28051852960 29072575168 29629769689 30681714175 31328206000 31908982742 32447070500 34942999000 35064816200 35590788443 36340718960 36467408848 39272594144 39934856000 40675186792 43831020250 45425898700 45584261060 49090742680 50843983490 51915312800 55908798400 56103705920 56782373375 56980326325 59259539378 61363428350 62656412000 63817965484 64894141000 66097178537 69885998000 70129632400 71181576886 72681437920 72934817696 78545188288 79772456855 81350373584 87662040500 90851797400 91168522120 98181485360 101687966980 103830625600 113564746750 113960652650 118519078756 122726856700 125312824000 127109958725 127635930968 129788282000 132194357074 139771996000 140259264800 142363153772 145362875840 145869635392 148148848445 153408570875 159544913710 162700747168 175324081000 177953942215 181703594800 182337044240 196362970720 203375933960 207408387823 227129493500 227921305300 237038157512 245453713400 254219917450 255271861936 259576564000 264388714148 279543992000 280518529600 284726307544 284901631625 296297696890 306817141750 319089827420 325401494336 330485892685 350648162000 355907884430 363407189600 364674088480 392725941440 398862284275 406751867920 414816775646 454258987000 455842610600 462680249759 474076315024 490907426800 508439834900 510543723872 519153128000 528777428296 569452615088 569803263250 592595393780 613634283500 635549793625 638179654840 660971785370 701296324000 711815768860 726814379200 729348176960 740744242225 797724568550 813503735840 829633551292 859263320981 889769711075 908517974000 911685221200 925360499518 948152630048 981814853600 1016879669800 1021087447744 1037041939115 1057554856592 1138905230176 1139606526500 1185190787560 1227268567000 1271099587250 1276359309680 1321943570740 1402592648000 1423631537720 1481488484450 1595449137100 1627007471680 1652429463425 1659267102584 1718526641962 1779539422150 1817035948000 1823370442400 1850720999036 1896305260096 1963629707200 1994311421375 2033759339600 2074083878230 2115109713184 2277810460352 2279213053000 2313401248795 2370381575120 2454537134000 2542199174500 2552718619360 2643887141480 2847263075440 2962976968900 3190898274200 3304858926850 3318534205168 3437053283924 3559078844300 3634071896000 3646740884800 3701441998072 3703721211125 3988622842750 4067518679200 4148167756460 4230219426368 4296316604905 4448848555375 4558426106000 4626802497590 4740763150240 4909074268000 5084398349000 5105437238720 5185209695575 5287774282960 5694526150880 5925953937800 6014843246867 6381796548400 6609717853700 6637068410336 6874106567848 7118157688600 7402883996144 7407442422250 7977245685500 8135037358400 8262147317125 8296335512920 8592633209810 8897697110750 9116852212000 9253604995180 9481526300480 9818148536000 10168796698000 10370419391150 10575548565920 11389052301760 11567006243975 11851907875600 12029686493734 12763593096800 13219435707400 13274136820672 13748213135696 14236315377200 14805767992288 14814884844500 15954491371000 16524294634250 16592671025840 17185266419620 17795394221500 18233704424000 18507209990360 20337593396000 20740838782300 21151097131840 21481583024525 23134012487950 23703815751200 24059372987468 25527186193600 25926048477875 26438871414800 27496426271392 28472630754400 29611535984576 29629769689000 30074216234335 31908982742000 33048589268500 33185342051680 34370532839240 35590788443000 37014419980720 40675186792000 41481677564600 42963166049050 46268024975900 47407631502400 48118745974936 51852096955750 52877742829600 54992852542784 56945261508800 57835031219875 59259539378000 60148432468670 63817965484000 66097178537000 66370684103360 68741065678480 71181576886000 74028839961440 82963355129200 85926332098100 92536049951800 96237491949872 103704193911500 105755485659200 107407915122625 115670062439750 118519078756000 120296864937340 127635930968000 132194357074000 137482131356960 142363153772000 148057679922880 150371081171675 165926710258400 171852664196200 185072099903600 192474983899744 207408387823000 214815830245250 231340124879500 237038157512000 240593729874680 264388714148000 274964262713920 284726307544000 300742162343350 331853420516800 343705328392400 370144199807200 384949967799488 414816775646000 429631660490500 462680249759000 481187459749360 528777428296000 601484324686700 687410656784800 740288399614400 751855405858375 829633551292000 859263320981000 925360499518000 962374919498720 1202968649373400 1374821313569600 1503710811716750 1659267102584000 1718526641962000 1850720999036000 1924749838997440 2405937298746800 3007421623433500 3437053283924000 3701441998072000 4811874597493600 6014843246867000 6874106567848000 9623749194987200 12029686493734000 24059372987468000 48118745974936000
- Sum of all divisors σ(n): 152568551260681920
- Sum of proper divisors (its aliquot sum) s(n): 104449805285745920
- 48118745974936000 is an abundant number, because the sum of its proper divisors (104449805285745920) is greater than itself. Its abundance is 56331059310809920
Bases of 48118745974936000
- Binary: 101010101111001110111110100110001101111110010001110000002
- Hexadecimal: 0xAAF3BE98DF91C0
- Base-36: D5SO6QC9TJ4
Squares and roots of 48118745974936000
- 48118745974936000 squared (481187459749360002) is 2315413714200419501140204096000000
- 48118745974936000 cubed (481187459749360003) is 111414804340493049736092876907005540537856000000000
-
The
square root of 48118745974936000 is 219359854.9756449853 -
The
cube root of 48118745974936000 is 363723.5603254169
Scales and comparisons
How big is 48118745974936000?- 48,118,745,974,936,000 seconds is equal to 1,530,027,280 years, 49 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,118,745,974,936,000 would take you about four billion, five hundred ninety million, eighty-one thousand, eight hundred forty-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 48118745974936000 cubic inches would be around 30310.3 feet tall.
Recreational maths with 48118745974936000
- 48118745974936000 backwards is 00063947954781184
- The number of decimal digits it has is: 17
- The sum of 48118745974936000's digits is 76
- More coming soon!
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The information we have on file for 48118745974936000 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 48118745974936000, math, Factors of 48118745974936000, curriculum, school, college, exams, university, Prime factorization of 48118745974936000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred eighteen trillion, seven hundred forty-five billion, nine hundred seventy-four million, nine hundred thirty-six thousand.