48138286006272
48,138,286,006,272 is an even composite number composed of six prime numbers multiplied together.
What does the number 48138286006272 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
48138286006272 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 48138286006272:
220 × 3 × 72 × 112 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 29 × 89)See below for interesting mathematical facts about the number 48138286006272 from the Numbermatics database.
Names of 48138286006272
- Cardinal: 48138286006272 can be written as Forty-eight trillion, one hundred thirty-eight billion, two hundred eighty-six million, six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 4.8138286006272 × 1013
Factors of 48138286006272
Divisors of 48138286006272
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 49 56 58 64 66 77 84 87 88 89 96 98 112 116 121 128 132 147 154 168 174 176 178 192 196 203 224 231 232 242 256 264 267 294 308 319 336 348 352 356 363 384 392 406 448 462 464 484 512 528 534 539 588 609 616 623 638 672 696 704 712 726 768 784 812 847 896 924 928 957 968 979 1024 1056 1068 1078 1176 1218 1232 1246 1276 1344 1392 1408 1421 1424 1452 1536 1568 1617 1624 1694 1792 1848 1856 1869 1914 1936 1958 2048 2112 2136 2156 2233 2352 2436 2464 2492 2541 2552 2581 2688 2784 2816 2842 2848 2904 2937 3072 3136 3234 3248 3388 3509 3584 3696 3712 3738 3828 3872 3916 4096 4224 4263 4272 4312 4361 4466 4704 4872 4928 4984 5082 5104 5162 5376 5568 5632 5684 5696 5808 5874 5929 6144 6272 6468 6496 6699 6776 6853 7018 7168 7392 7424 7476 7656 7743 7744 7832 8192 8448 8526 8544 8624 8722 8932 9408 9744 9856 9968 10164 10208 10324 10527 10752 10769 11136 11264 11368 11392 11616 11748 11858 12288 12544 12936 12992 13083 13398 13552 13706 14036 14336 14784 14848 14952 15312 15486 15488 15631 15664 16384 16896 17052 17088 17248 17444 17787 17864 18067 18816 19488 19712 19936 20328 20416 20559 20648 21054 21504 21538 22272 22528 22736 22784 23232 23496 23716 24563 24576 25088 25872 25984 26166 26796 27104 27412 28072 28391 28672 29568 29696 29904 30624 30972 30976 31262 31328 32307 32768 33792 34104 34176 34496 34888 35574 35728 36134 37632 38976 39424 39872 40656 40832 41118 41296 42108 43008 43076 44544 45056 45472 45568 46464 46893 46992 47432 47971 49126 49152 50176 51744 51968 52332 53592 54201 54208 54824 56144 56782 57344 59136 59392 59808 61248 61944 61952 62524 62656 64614 65536 67584 68208 68352 68992 69776 71148 71456 72268 73689 75264 75383 77952 78848 79744 81312 81664 82236 82592 84216 85173 86016 86152 89088 90112 90944 91136 92928 93786 93984 94864 95942 98252 98304 100352 103488 103936 104664 107184 108402 108416 109648 112288 113564 114688 118272 118784 119616 122496 123888 123904 125048 125312 126469 129228 131072 135168 136416 136704 137984 139552 142296 142912 143913 144536 147378 150528 150766 155904 157696 159488 162624 163328 164472 165184 168432 170346 171941 172032 172304 178176 180224 181888 182272 185856 187572 187968 189728 191884 196504 196608 198737 200704 206976 207872 209328 214368 216804 216832 219296 224576 226149 227128 229376 236544 237568 239232 244992 247776 247808 250096 250624 252938 258456 262144 270336 272832 273408 275968 279104 284592 285824 287826 289072 294756 301056 301532 311808 312301 315392 318976 325248 326656 328944 330368 336864 340692 343882 344064 344608 356352 360448 363776 364544 371712 375144 375936 379407 379456 383768 393008 393216 397474 401408 413952 415744 418656 428736 433608 433664 438592 449152 452298 454256 458752 473088 475136 478464 489984 495552 495616 500192 501248 505876 515823 516912 524288 527681 540672 545664 546816 551936 558208 569184 571648 575652 578144 589512 596211 602112 603064 623616 624602 630784 637952 650496 653312 657888 660736 673728 681384 687764 688128 689216 712704 720896 727552 729088 743424 750288 751872 758814 758912 767536 786016 786432 794948 802816 827904 831488 837312 857472 867216 867328 877184 898304 904596 908512 917504 936903 946176 950272 956928 979968 991104 991232 1000384 1002496 1011752 1031646 1033824 1048576 1055362 1081344 1091328 1093632 1103872 1116416 1138368 1143296 1151304 1156288 1179024 1192422 1204224 1206128 1247232 1249204 1261568 1275904 1300992 1306624 1315776 1321472 1347456 1362768 1375528 1376256 1378432 1391159 1425408 1441792 1455104 1458176 1486848 1500576 1503744 1517628 1517824 1535072 1572032 1572864 1583043 1589896 1605632 1655808 1662976 1674624 1714944 1734432 1734656 1754368 1796608 1809192 1817024 1835008 1873806 1892352 1900544 1913856 1959936 1982208 1982464 2000768 2004992 2023504 2063292 2067648 2110724 2162688 2182656 2186107 2187264 2207744 2232832 2276736 2286592 2302608 2312576 2358048 2384844 2408448 2412256 2494464 2498408 2523136 2551808 2601984 2613248 2631552 2642944 2694912 2725536 2751056 2752512 2756864 2782318 2850816 2883584 2910208 2916352 2973696 3001152 3007488 3035256 3035648 3070144 3144064 3145728 3166086 3179792 3211264 3311616 3325952 3349248 3429888 3468864 3469312 3508736 3593216 3618384 3634048 3670016 3747612 3784704 3801088 3827712 3919872 3964416 3964928 4001536 4009984 4047008 4126584 4135296 4173477 4221448 4325376 4365312 4372214 4374528 4415488 4465664 4553472 4573184 4605216 4625152 4716096 4769688 4816896 4824512 4988928 4996816 5046272 5103616 5203968 5226496 5263104 5285888 5389824 5451072 5502112 5505024 5513728 5564636 5701632 5767168 5820416 5832704 5947392 6002304 6014976 6070512 6071296 6140288 6288128 6332172 6359584 6422528 6558321 6623232 6651904 6698496 6859776 6937728 6938624 7017472 7186432 7236768 7268096 7340032 7495224 7569408 7602176 7655424 7839744 7928832 7929856 8003072 8019968 8094016 8253168 8270592 8346954 8442896 8650752 8730624 8744428 8749056 8830976 8931328 9106944 9146368 9210432 9250304 9432192 9539376 9633792 9649024 9977856 9993632 10092544 10207232 10407936 10452992 10526208 10571776 10779648 10902144 11004224 11010048 11027456 11129272 11403264 11534336 11640832 11665408 11894784 12004608 12029952 12141024 12142592 12280576 12576256 12664344 12719168 12845056 13116642 13246464 13303808 13396992 13719552 13875456 13877248 14034944 14372864 14473536 14536192 14990448 15138816 15204352 15302749 15310848 15679488 15857664 15859712 16006144 16039936 16188032 16506336 16541184 16693908 16885792 17301504 17461248 17488856 17498112 17661952 17862656 18213888 18292736 18420864 18500608 18864384 19078752 19267584 19298048 19955712 19987264 20185088 20414464 20815872 20905984 21052416 21143552 21559296 21804288 22008448 22020096 22054912 22258544 22806528 23281664 23330816 23789568 24009216 24059904 24282048 24285184 24561152 25152512 25328688 25438336 25690112 26233284 26492928 26607616 26793984 27439104 27750912 27754496 28069888 28745728 28947072 29072384 29980896 30277632 30408704 30605498 30621696 31358976 31715328 31719424 32012288 32079872 32376064 33012672 33082368 33387816 33771584 34603008 34922496 34977712 34996224 35323904 35725312 36427776 36585472 36841728 37001216 37728768 38157504 38535168 38596096 39911424 39974528 40370176 40828928 41631744 41811968 42104832 42287104 43118592 43608576 44016896 44109824 44517088 45613056 45908247 46563328 46661632 47579136 48018432 48119808 48564096 48570368 49122304 50305024 50657376 50876672 51380224 52466568 52985856 53215232 53587968 54878208 55501824 55508992 56139776 57491456 57894144 58144768 59961792 60555264 61210996 61243392 62717952 63430656 63438848 64024576 64159744 64752128 66025344 66164736 66775632 67543168 69844992 69955424 69992448 70647808 71450624 72855552 73170944 73683456 74002432 75457536 76315008 77070336 77192192 79822848 79949056 80740352 81657856 83263488 83623936 84209664 84574208 86237184 87217152 88033792 88219648 89034176 91226112 91816494 93126656 93323264 95158272 96036864 96239616 97128192 97140736 98244608 100610048 101314752 101753344 104933136 105971712 106430464 107175936 109756416 111003648 111017984 112279552 114982912 115788288 116289536 119923584 121110528 122421992 122486784 125435904 126861312 126877696 128049152 128319488 129504256 132050688 132329472 133551264 135086336 139689984 139910848 139984896 141295616 142901248 145711104 146341888 147366912 148004864 150915072 152630016 154140672 154384384 159645696 159898112 163315712 166526976 167247872 168419328 169148416 172474368 174434304 176067584 176439296 178068352 183632988 186253312 190316544 192073728 192479232 194256384 194281472 196489216 201220096 202629504 203506688 209866272 211943424 212860928 214351872 219512832 222007296 222035968 224559104 229965824 231576576 232579072 239847168 242221056 244843984 244973568 250871808 253722624 256098304 256638976 259008512 264101376 264658944 267102528 270172672 279379968 279821696 279969792 282591232 285802496 291422208 292683776 294733824 296009728 301830144 305260032 308768768 319291392 319796224 326631424 333053952 334495744 336838656 338296832 344948736 348868608 352135168 352878592 356136704 367265976 372506624 380633088 384147456 384958464 388512768 388562944 392978432 402440192 405259008 407013376 419732544 423886848 428703744 439025664 444014592 444071936 449118208 459931648 463153152 465158144 479694336 489687968 489947136 501743616 507445248 512196608 513277952 518017024 528202752 529317888 534205056 540345344 558759936 559643392 565182464 571604992 582844416 585367552 589467648 592019456 603660288 610520064 617537536 638582784 639592448 653262848 666107904 673677312 676593664 689897472 697737216 704270336 705757184 712273408 734531952 745013248 768294912 769916928 777025536 777125888 785956864 804880384 810518016 814026752 839465088 847773696 857407488 878051328 888029184 888143872 898236416 919863296 926306304 930316288 959388672 979375936 979894272 1003487232 1014890496 1024393216 1026555904 1036034048 1056405504 1058635776 1068410112 1080690688 1117519872 1119286784 1143209984 1165688832 1170735104 1178935296 1184038912 1207320576 1221040128 1235075072 1279184896 1332215808 1347354624 1353187328 1379794944 1395474432 1408540672 1411514368 1424546816 1469063904 1490026496 1536589824 1539833856 1554051072 1554251776 1571913728 1609760768 1621036032 1628053504 1678930176 1695547392 1714814976 1756102656 1776058368 1796472832 1839726592 1852612608 1860632576 1918777344 1958751872 1959788544 2029780992 2048786432 2072068096 2112811008 2117271552 2136820224 2161381376 2235039744 2238573568 2286419968 2331377664 2341470208 2357870592 2368077824 2414641152 2442080256 2470150144 2558369792 2664431616 2694709248 2706374656 2759589888 2790948864 2817081344 2823028736 2849093632 2938127808 3073179648 3079667712 3108102144 3108503552 3143827456 3219521536 3242072064 3256107008 3357860352 3429629952 3512205312 3552116736 3592945664 3679453184 3705225216 3721265152 3837554688 3917503744 4059561984 4097572864 4144136192 4225622016 4234543104 4273640448 4322762752 4470079488 4477147136 4572839936 4662755328 4715741184 4736155648 4829282304 4884160512 4940300288 5116739584 5389418496 5519179776 5581897728 5634162688 5646057472 5698187264 5876255616 6146359296 6216204288 6217007104 6287654912 6439043072 6484144128 6512214016 6715720704 6859259904 7024410624 7104233472 7185891328 7410450432 7442530304 7675109376 7835007488 8119123968 8195145728 8288272384 8451244032 8469086208 8547280896 8645525504 8954294272 9325510656 9431482368 9472311296 9658564608 9768321024 9880600576 10233479168 10778836992 11038359552 11163795456 11268325376 11292114944 11396374528 11752511232 12292718592 12432408576 12575309824 12878086144 12968288256 13024428032 13431441408 13718519808 14208466944 14820900864 14885060608 15350218752 15670014976 16390291456 16576544768 16902488064 16938172416 17094561792 17291051008 17908588544 18651021312 18862964736 18944622592 19317129216 19536642048 19761201152 20466958336 21557673984 22327590912 22536650752 22792749056 23505022464 24585437184 24864817152 25150619648 25756172288 25936576512 26048856064 26862882816 28416933888 29641801728 29770121216 30700437504 31340029952 33153089536 33804976128 33876344832 34189123584 34582102016 35817177088 37725929472 38634258432 39073284096 39522402304 40933916672 44655181824 45073301504 45585498112 47010044928 49170874368 49729634304 50301239296 51873153024 52097712128 53725765632 56833867776 59283603456 61400875008 62680059904 66306179072 67609952256 68378247168 69164204032 71634354176 75451858944 77268516864 78146568192 79044804608 81867833344 89310363648 90146603008 91170996224 94020089856 99459268608 103746306048 104195424256 107451531264 118567206912 122801750016 125360119808 132612358144 135219904512 136756494336 138328408064 143268708352 150903717888 156293136384 163735666688 180293206016 182341992448 188040179712 198918537216 207492612096 208390848512 214903062528 237134413824 245603500032 250720239616 270439809024 273512988672 276656816128 286537416704 312586272768 327471333376 364683984896 376080359424 397837074432 414985224192 429806125056 491207000064 501440479232 540879618048 547025977344 553313632256 573074833408 625172545536 729367969792 752160718848 829970448384 859612250112 982414000128 1002880958464 1094051954688 1146149666816 1458735939584 1504321437696 1659940896768 1719224500224 2005761916928 2188103909376 2292299333632 3008642875392 3438449000448 4011523833856 4376207818752 6017285750784 6876898000896 8023047667712 12034571501568 16046095335424 24069143003136 48138286006272
- Sum of all divisors σ(n): 171703818694800
- Sum of proper divisors (its aliquot sum) s(n): 123565532688528
- 48138286006272 is an abundant number, because the sum of its proper divisors (123565532688528) is greater than itself. Its abundance is 75427246682256
Bases of 48138286006272
- Binary: 10101111001000000100010111000000000000000000002
- Hexadecimal: 0x2BC811700000
- Base-36: H2AF8LEDC
Squares and roots of 48138286006272
- 48138286006272 squared (481382860062722) is 2317294579621642659623337984
- 48138286006272 cubed (481382860062723) is 111550589234610477742135838909612999835648
-
The
square root of 48138286006272 is 6938175.9855362561 -
The
cube root of 48138286006272 is 36377.2787210659
Scales and comparisons
How big is 48138286006272?- 48,138,286,006,272 seconds is equal to 1,530,648 years, 30 weeks, 6 days, 51 minutes, 12 seconds.
-
To count from 1 to 48,138,286,006,272 would take you about three million, eight hundred twenty-six thousand, six hundred twenty-one 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 48138286006272 cubic inches would be around 3031.4 feet tall.
Recreational maths with 48138286006272
- 48138286006272 backwards is 27260068283184
- The number of decimal digits it has is: 14
- The sum of 48138286006272's digits is 57
- More coming soon!
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The information we have on file for 48138286006272 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 48138286006272, math, Factors of 48138286006272, curriculum, school, college, exams, university, Prime factorization of 48138286006272, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, one hundred thirty-eight billion, two hundred eighty-six million, six thousand, two hundred seventy-two.