48972807631224000
48,972,807,631,224,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48972807631224000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
48972807631224000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 48972807631224000:
26 × 32 × 53 × 17 × 31 × 421 × 601 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 421 × 601 × 5101)See below for interesting mathematical facts about the number 48972807631224000 from the Numbermatics database.
Names of 48972807631224000
- Cardinal: 48972807631224000 can be written as Forty-eight quadrillion, nine hundred seventy-two trillion, eight hundred seven billion, six hundred thirty-one million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.8972807631224 × 1016
Factors of 48972807631224000
Divisors of 48972807631224000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 60 62 64 68 72 75 80 85 90 93 96 100 102 120 124 125 136 144 150 153 155 160 170 180 186 192 200 204 225 240 248 250 255 272 279 288 300 306 310 320 340 360 372 375 400 408 421 425 450 465 480 496 500 510 527 544 558 576 600 601 612 620 680 720 744 750 765 775 800 816 842 850 900 930 960 992 1000 1020 1054 1088 1116 1125 1200 1202 1224 1240 1263 1275 1360 1395 1440 1488 1500 1530 1550 1581 1600 1632 1684 1700 1800 1803 1860 1984 2000 2040 2105 2108 2125 2232 2250 2325 2400 2404 2448 2480 2526 2550 2635 2720 2790 2880 2976 3000 3005 3060 3100 3162 3264 3368 3400 3600 3606 3720 3789 3825 3875 4000 4080 4210 4216 4250 4464 4500 4650 4743 4800 4808 4896 4960 5052 5100 5101 5270 5409 5440 5580 5952 6000 6010 6120 6200 6315 6324 6375 6736 6800 6975 7157 7200 7212 7440 7578 7650 7750 7905 8000 8160 8420 8432 8500 8928 9000 9015 9300 9486 9616 9792 9920 10104 10200 10202 10217 10525 10540 10818 11160 11625 12000 12020 12240 12400 12630 12648 12750 13051 13175 13472 13600 13950 14314 14400 14424 14880 15025 15156 15300 15303 15500 15810 16320 16840 16864 17000 17856 18000 18030 18600 18631 18945 18972 19125 19232 20208 20400 20404 20434 21050 21080 21471 21636 22320 23250 23715 24000 24040 24480 24800 25260 25296 25500 25505 26102 26350 26944 27045 27200 27900 28628 28848 29760 30050 30312 30600 30606 30651 31000 31575 31620 33680 33728 34000 34875 35785 36000 36060 37200 37262 37890 37944 38250 38464 39153 39525 40416 40800 40808 40868 42100 42160 42942 43272 44640 45075 45909 46500 47430 48080 48960 49600 50520 50592 51000 51010 51085 52204 52625 52700 54090 55800 55893 57256 57696 60100 60624 61200 61212 61302 62000 63150 63240 64413 65255 65875 67360 68000 69750 71570 72000 72120 74400 74524 75125 75780 75888 76500 76515 78306 79050 80832 81600 81616 81736 84200 84320 85884 86544 86717 89280 90150 91818 91953 93000 93155 94725 94860 96160 101040 101184 102000 102020 102170 104408 105250 105400 107355 108180 111600 111786 114512 115392 117459 118575 120200 121248 122400 122424 122604 124000 126300 126480 127525 128826 130510 131750 134720 135225 136000 139500 143140 144240 148800 149048 150250 151560 151776 153000 153030 153255 156612 157875 158100 158131 163232 163472 167679 168400 168640 171768 173088 173434 178925 180300 183636 183906 186000 186310 189450 189720 192320 195765 197625 202080 204000 204040 204340 208816 210500 210800 214710 216360 221867 223200 223572 225375 229024 229545 234918 237150 240400 242496 244800 244848 245208 248000 252600 252960 253021 255050 255425 257652 260151 261020 263500 270450 279000 279465 286280 288480 298096 300500 303120 303552 306000 306060 306510 313224 315750 316200 316262 316727 322065 326275 326464 326944 335358 336800 343536 346176 346868 357850 360600 367272 367812 372000 372620 378900 379440 382575 391530 395250 404160 408000 408080 408680 417632 421000 421600 429420 432720 433585 443734 446400 447144 450750 458048 459090 459765 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234526126500 239663343600 240015720600 240062782506 242343664050 247806743232 250161201600 254642302575 258132024200 258499908320 262856570400 263294664684 266292604000 266684134000 271618456080 273705785280 282371436000 282935891750 285110193000 290398527225 290812396860 292062856000 299579179500 300019650750 309697704000 309758429040 310199889984 312701502000 319551124800 320020960800 320083710008 322665030250 323124885400 325942147296 328570713000 329118330855 339523070100 342132231600 351059552912 360094173759 362157941440 363515496075 371710114848 375241802400 380146924000 384025152960 387198036300 387749862480 394941997026 399438906000 400026201000 400104637510 403906106750 407427684120 413011238720 416935336000 424403837625 427665289500 438094284000 438824441140 452697426800 456176308800 464637643560 465299834976 469052253000 479326687200 480031441200 480125565012 483997545375 484687328100 509284605150 516264048400 516999816640 525713140800 526589329368 532585208000 533368268000 543236912160 548530551425 564742872000 565871783500 570220386000 580797054450 581624793720 599158359000 600039301500 600156956265 605859160125 619516858080 625403004000 640041921600 640167420016 645330060500 646249770800 651884294592 657141426000 658236661710 679046140200 680177883767 684264463200 702119105824 720188347518 727030992150 743420229696 750483604800 760293848000 774396072600 775499724960 789883994052 798877812000 800052402000 800209275020 807812213500 814855368240 848807675250 855330579000 876188568000 877648882280 905394853600 929275287120 930599669952 938104506000 958653374400 960062882400 960251130024 967995090750 969374656200 987354992565 1000261593775 1018569210300 1032528096800 1053178658736 1066736536000 1086473824320 1097061102850 1131743567000 1140440772000 1161594108900 1163249587440 1198316718000 1200078603000 1200313912530 1211718320250 1239033716160 1250806008000 1273211512875 1280334840032 1290660121000 1292499541600 1314282852000 1316473323420 1358092280400 1360355767534 1368528926400 1404238211648 1440376695036 1451992636125 1454061984300 1548792145200 1550999449920 1579767988104 1597755624000 1600104804000 1600418550040 1615624427000 1629710736480 1645591654275 1697615350500 1710661158000 1755297764560 1800470868795 1810789707200 1817577480375 1858550574240 1876209012000 1920125764800 1920502260048 1935990181500 1938749312400 1974709985130 2000523187550 2037138420600 2040533651301 2065056193600 2106357317472 2194122205700 2263487134000 2280881544000 2323188217800 2326499174880 2396633436000 2400157206000 2400627825060 2423436640500 2546423025750 2560669680064 2581320242000 2584999083200 2628565704000 2632946646840 2716184560800 2720711535068 2742652757125 2880753390072 2903985272250 2908123968600 3000784781325 3097584290400 3159535976208 3200209608000 3200837100080 3231248854000 3259421472960 3291183308550 3395230701000 3400889418835 3421322316000 3510595529120 3600941737590 3635154960750 3717101148480 3752418024000 3841004520096 3871980363000 3877498624800 3949419970260 4001046375100 4074276841200 4081067302602 4212714634944 4388244411400 4526974268000 4646376435600 4652998349760 4793266872000 4800314412000 4801255650120 4846873281000 4936774962825 5001307968875 5092846051500 5162640484000 5265893293680 5432369121600 5441423070136 5485305514250 5761506780144 5807970544500 5816247937200 6001569562650 6121600953903 6195168580800 6319071952416 6401674200160 6462497708000 6582366617100 6790461402000 6801778837670 6842644632000 7021191058240 7201883475180 7270309921500 7682009040192 7743960726000 7754997249600 7898839940520 8002092750200 8148553682400 8162134605204 8227958271375 8776488822800 9002354343975 9053948536000 9292752871200 9600628824000 9602511300240 9693746562000 9873549925650 10002615937750 10185692103000 10202668256505 10325280968000 10531786587360 10882846140272 10970611028500 11523013560288 11615941089000 11632495874400 12003139125300 12243201907806 12638143904832 12803348400320 12924995416000 13164733234200 13580922804000 13603557675340 14403766950360 14540619843000 15003923906625 15487921452000 15797679881040 16004185500400 16297107364800 16324269210408 16455916542750 17004447094175 17552977645600 18004708687950 18585505742400 19205022600480 19387493124000 19747099851300 20005231875500 20371384206000 20405336513010 21063573174720 21765692280544 21941222057000 23046027120576 23231882178000 23264991748800 24006278250600 24486403815612 24683874814125 26329466468400 27161845608000 27207115350680 28807533900720 29081239686000 30007847813250 30608004769515 30975842904000 31595359762080 32008371000800 32648538420816 32911833085500 34008894188350 35105955291200 36009417375900 38410045200960 38774986248000 39494199702600 40010463751000 40742768412000 40810673026020 43531384561088 43882444114000 45011771719875 46463764356000 48012556501200 48972807631224 49367749628250 51013341282525 52658932936800 54414230701360 57615067801440 58162479372000 60015695626500 61216009539030 63190719524160 64016742001600 65297076841632 65823666171000 68017788376700 72018834751800 78988399405200 80020927502000 81485536824000 81621346052040 85022235470875 87764888228000 90023543439750 92927528712000 96025113002400 97945615262448 98735499256500 102026682565050 105317865873600 108828461402720 115230135602880 116324958744000 120031391253000 122432019078060 130594153683264 131647332342000 136035576753400 144037669503600 153040023847575 157976798810400 160041855004000 163242692104080 170044470941750 175529776456000 180047086879500 192050226004800 195891230524896 197470998513000 204053365130100 217656922805440 240062782506000 244864038156120 255066706412625 263294664684000 272071153506800 288075339007200 306080047695150 315953597620800 320083710008000 326485384208160 340088941883500 360094173759000 391782461049792 394941997026000 408106730260200 480125565012000 489728076312240 510133412825250 526589329368000 544142307013600 576150678014400 612160095390300 652970768416320 680177883767000 720188347518000 765200119237875 789883994052000 816213460520400 960251130024000 979456152624480 1020266825650500 1088284614027200 1224320190780600 1360355767534000 1440376695036000 1530400238475750 1579767988104000 1632426921040800 1958912305248960 2040533651301000 2448640381561200 2720711535068000 2880753390072000 3060800476951500 3264853842081600 4081067302602000 4897280763122400 5441423070136000 6121600953903000 8162134605204000 9794561526244800 12243201907806000 16324269210408000 24486403815612000 48972807631224000
- Sum of all divisors σ(n): 192284178669692928
- Sum of proper divisors (its aliquot sum) s(n): 143311371038468928
- 48972807631224000 is an abundant number, because the sum of its proper divisors (143311371038468928) is greater than itself. Its abundance is 94338563407244928
Bases of 48972807631224000
- Binary: 101011011111110010000010010100101000001100111100110000002
- Hexadecimal: 0xADFC8252833CC0
- Base-36: DE7ET8N7HS0
Squares and roots of 48972807631224000
- 48972807631224000 squared (489728076312240002) is 2398335887284871649979738176000000
- 48972807631224000 cubed (489728076312240003) is 117453242043062945449735093990590282407424000000000
-
The
square root of 48972807631224000 is 221298006.3878208553 -
The
cube root of 48972807631224000 is 365862.8678712177
Scales and comparisons
How big is 48972807631224000?- 48,972,807,631,224,000 seconds is equal to 1,557,183,799 years, 43 weeks, 2 days, 4 hours.
-
To count from 1 to 48,972,807,631,224,000 would take you about four billion, six hundred seventy-one million, five hundred fifty-one thousand, three hundred ninety-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 48972807631224000 cubic inches would be around 30488.6 feet tall.
Recreational maths with 48972807631224000
- 48972807631224000 backwards is 00042213670827984
- The number of decimal digits it has is: 17
- The sum of 48972807631224000's digits is 63
- More coming soon!
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"Number 48972807631224000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 48972807631224000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/48972807631224000/
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The information we have on file for 48972807631224000 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!
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