48138334894817280
48,138,334,894,817,280 is an even composite number composed of five prime numbers multiplied together.
What does the number 48138334894817280 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1824 divisors.
48138334894817280 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred twenty-four divisors.
Prime factorization of 48138334894817280:
218 × 33 × 5 × 232 × 1373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 23 × 137 × 137 × 137)See below for interesting mathematical facts about the number 48138334894817280 from the Numbermatics database.
Names of 48138334894817280
- Cardinal: 48138334894817280 can be written as Forty-eight quadrillion, one hundred thirty-eight trillion, three hundred thirty-four billion, eight hundred ninety-four million, eight hundred seventeen thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.813833489481728 × 1016
Factors of 48138334894817280
Divisors of 48138334894817280
- Number of divisors d(n): 1824
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 48 54 60 64 69 72 80 90 92 96 108 115 120 128 135 137 138 144 160 180 184 192 207 216 230 240 256 270 274 276 288 320 345 360 368 384 411 414 432 460 480 512 529 540 548 552 576 621 640 685 690 720 736 768 822 828 864 920 960 1024 1035 1058 1080 1096 1104 1152 1233 1242 1280 1370 1380 1440 1472 1536 1587 1644 1656 1728 1840 1920 2048 2055 2070 2116 2160 2192 2208 2304 2466 2484 2560 2645 2740 2760 2880 2944 3072 3105 3151 3174 3288 3312 3456 3680 3699 3840 4096 4110 4140 4232 4320 4384 4416 4608 4761 4932 4968 5120 5290 5480 5520 5760 5888 6144 6165 6210 6302 6348 6576 6624 6912 7360 7398 7680 7935 8192 8220 8280 8464 8640 8768 8832 9216 9453 9522 9864 9936 10240 10580 10960 11040 11520 11776 12288 12330 12420 12604 12696 13152 13248 13824 14283 14720 14796 15360 15755 15870 16384 16440 16560 16928 17280 17536 17664 18432 18495 18769 18906 19044 19728 19872 20480 21160 21920 22080 23040 23552 23805 24576 24660 24840 25208 25392 26304 26496 27648 28359 28566 29440 29592 30720 31510 31740 32768 32880 33120 33856 34560 35072 35328 36864 36990 37538 37812 38088 39456 39744 40960 42320 43840 44160 46080 47104 47265 47610 49152 49320 49680 50416 50784 52608 52992 55296 56307 56718 57132 58880 59184 61440 63020 63480 65536 65760 66240 67712 69120 70144 70656 71415 72473 73728 73980 75076 75624 76176 78912 79488 81920 84640 85077 87680 88320 92160 93845 94208 94530 95220 98304 98640 99360 100832 101568 105216 105984 110592 112614 113436 114264 117760 118368 122880 126040 126960 131072 131520 132480 135424 138240 140288 141312 141795 142830 144946 147456 147960 150152 151248 152352 157824 158976 163840 168921 169280 170154 175360 176640 184320 187690 188416 189060 190440 196608 197280 198720 201664 203136 210432 211968 217419 221184 225228 226872 228528 235520 236736 245760 252080 253920 262144 263040 264960 270848 276480 280576 281535 282624 283590 285660 289892 294912 295920 300304 302496 304704 315648 317952 327680 337842 338560 340308 350720 353280 362365 368640 375380 376832 378120 380880 393216 394560 397440 403328 406272 420864 423936 425385 431687 434838 442368 450456 453744 457056 471040 473472 491520 504160 506763 507840 526080 529920 541696 552960 561152 563070 565248 567180 571320 579784 589824 591840 600608 604992 609408 631296 635904 652257 655360 675684 677120 680616 701440 706560 724730 737280 750760 753664 756240 761760 786432 789120 794880 806656 812544 841728 844605 847872 850770 863374 869676 884736 900912 907488 914112 942080 946944 983040 1008320 1013526 1015680 1052160 1059840 1083392 1087095 1105920 1122304 1126140 1130496 1134360 1142640 1159568 1179648 1183680 1201216 1209984 1218816 1262592 1271808 1295061 1304514 1310720 1351368 1354240 1361232 1402880 1413120 1449460 1474560 1501520 1507328 1512480 1523520 1578240 1589760 1613312 1625088 1683456 1689210 1695744 1701540 1726748 1739352 1769472 1801824 1814976 1828224 1884160 1893888 1956771 1966080 2016640 2027052 2031360 2104320 2119680 2158435 2166784 2174190 2211840 2244608 2252280 2260992 2268720 2285280 2319136 2359296 2367360 2402432 2419968 2437632 2525184 2533815 2543616 2571353 2590122 2609028 2702736 2708480 2722464 2805760 2826240 2898920 2949120 3003040 3014656 3024960 3047040 3156480 3179520 3226624 3250176 3261285 3366912 3378420 3391488 3403080 3453496 3478704 3538944 3603648 3629952 3656448 3768320 3787776 3885183 3913542 3932160 4033280 4054104 4062720 4208640 4239360 4316870 4333568 4348380 4423680 4489216 4504560 4521984 4537440 4570560 4638272 4734720 4804864 4839936 4875264 5050368 5067630 5087232 5142706 5180244 5218056 5405472 5416960 5444928 5611520 5652480 5797840 5898240 6006080 6029312 6049920 6094080 6312960 6359040 6453248 6475305 6500352 6522570 6733824 6756840 6782976 6806160 6906992 6957408 7077888 7207296 7259904 7312896 7536640 7575552 7714059 7770366 7827084 8066560 8108208 8125440 8417280 8478720 8633740 8667136 8696760 8847360 8978432 9009120 9043968 9074880 9141120 9276544 9469440 9609728 9679872 9750528 9783855 9928801 10100736 10135260 10174464 10285412 10360488 10436112 10810944 10833920 10889856 11223040 11304960 11595680 11655549 11796480 12012160 12099840 12188160 12625920 12718080 12856765 12906496 12950610 13000704 13045140 13467648 13513680 13565952 13612320 13813984 13914816 14414592 14519808 14625792 15073280 15151104 15428118 15540732 15654168 16133120 16216416 16250880 16834560 16957440 17267480 17334272 17393520 17694720 17956864 18018240 18087936 18149760 18282240 18553088 18938880 19219456 19359744 19425915 19501056 19567710 19857602 20201472 20270520 20348928 20570824 20720976 20872224 21621888 21667840 21779712 22446080 22609920 23142177 23191360 23311098 24024320 24199680 24376320 25251840 25436160 25713530 25812992 25901220 26001408 26090280 26935296 27027360 27131904 27224640 27627968 27829632 28829184 29039616 29251584 29786403 30146560 30302208 30856236 31081464 31308336 32266240 32432832 32501760 33669120 33914880 34534960 34668544 34787040 35389440 35913728 36036480 36299520 36564480 37106176 37877760 38438912 38570295 38719488 38851830 39002112 39135420 39715204 40402944 40541040 40697856 41141648 41441952 41744448 43243776 43335680 43559424 44892160 45219840 46284354 46382720 46622196 48048640 48399360 48752640 49644005 50503680 50872320 51427060 51625984 51802440 52002816 52180560 53870592 54054720 54263808 54449280 55255936 55659264 57658368 58079232 58277745 58503168 59141119 59572806 60604416 61712472 62162928 62616672 64532480 64865664 65003520 67338240 67829760 69069920 69337088 69426531 69574080 72072960 72599040 73128960 74212352 75755520 76877824 77140590 77438976 77703660 78004224 78270840 79430408 80805888 81082080 81395712 82283296 82883904 83488896 86487552 86671360 87118848 89359209 89784320 90439680 92568708 92765440 93244392 96097280 96798720 97505280 99288010 101007360 101744640 102854120 103251968 103604880 104005632 104361120 107741184 108109440 108898560 110511872 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329133184 331535616 333955584 345950208 346685440 347132655 348475392 354846714 357436836 370274832 371061760 372977568 384389120 387194880 390021120 397152040 404029440 406978560 411416480 413007872 414419520 416022528 417444480 432437760 435594240 442047488 445274112 446796045 461266944 462843540 464633856 466221960 468025344 473128952 476582448 484835328 493699776 497303424 500933376 516259840 518925312 520028160 532270071 536155254 538705920 552559360 555412248 556592640 576583680 580792320 585031680 591411190 593698816 595728060 606044160 615022592 617124720 619511808 621629280 624033792 626166720 635443264 648656640 658266368 663071232 667911168 691900416 693370880 694265310 696950784 709693428 714873672 740549664 742123520 745955136 768778240 774389760 780042240 794304080 808058880 813957120 822832960 826015744 828839040 834888960 864875520 871188480 884094976 887116785 890548224 893592090 922533888 925687080 929267712 932443920 936050688 946257904 953164896 969670656 987399552 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8014934016 8161474422 8302804992 8516321136 8578484064 8840949760 8886595968 8905482240 9225338880 9292677120 9360506880 9462579040 9499181056 9531648960 9873995520 9946068480 10018667520 10167092224 10378506240 10532261888 10609139712 10645401420 10686578688 10723105080 10881965896 11070406656 11108244960 11151212544 11355094848 11437978752 11848794624 11873976320 11935282176 12242211633 12300451840 12390236160 12708865280 12774481704 13165327360 13261424640 13358223360 13602457370 13838008320 13939015680 14145519616 14193868560 14248771584 14297473440 14760542208 14810993280 14919102720 15140126464 15250638336 15798392832 15913709568 15968102130 16029868032 16322948844 16605609984 17032642272 17156968128 17681899520 17773191936 17810964480 18450677760 18585354240 18721013760 18925158080 18998362112 19063297920 19747991040 19892136960 20037335040 20334184448 20403686055 20757012480 21064523776 21218279424 21290802840 21373157376 21446210160 21763931792 22140813312 22216489920 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68130569088 68627872512 70727598080 71092767744 71243857920 73453269798 73802711040 75700632320 76253191680 78991964160 79568547840 80149340160 81336737792 81614744220 83028049920 84258095104 84873117696 85163211360 85492629504 85784840640 87055727168 88865959680 90840758784 91503830016 94790356992 94991810560 95482257408 97937693064 101670922240 102195853632 105322618880 106091397120 106865786880 108819658960 110704066560 111512125440 113164156928 113550948480 114379787520 118487946240 119352821760 121121011712 122005106688 122422116330 126387142656 127309676544 127744817040 128238944256 130583590752 132844879872 136261138176 137255745024 141455196160 142185535488 142487715840 146906539596 151401264640 152506383360 157983928320 159137095680 160298680320 162673475584 163229488440 166056099840 168516190208 169746235392 170326422720 170985259008 171569681280 174111454336 177731919360 181681517568 183007660032 183633174495 189580713984 190964514816 195875386128 203341844480 204391707264 210645237760 212182794240 213731573760 217639317920 221408133120 227101896960 228759575040 236975892480 238705643520 242242023424 244010213376 244844232660 252774285312 254619353088 255489634080 256477888512 261167181504 272522276352 274511490048 282910392320 284371070976 284975431680 293813079192 302802529280 305012766720 315967856640 318274191360 320597360640 325346951168 326458976880 332112199680 337032380416 339492470784 340652845440 343139362560 348222908672 355463838720 363363035136 366015320064 367266348990 379161427968 381929029632 391750772256 406683688960 408783414528 421290475520 424365588480 427463147520 435278635840 454203793920 457519150080 473951784960 477411287040 484484046848 488020426752 489688465320 505548570624 509238706176 510979268160 512955777024 522334363008 545044552704 549022980096 565820784640 568742141952 587626158384 605605058560 610025533440 631935713280 636548382720 641194721280 650693902336 652917953760 664224399360 674064760832 681305690880 686278725120 696445817344 710927677440 726726070272 732030640128 734532697980 758322855936 763858059264 783501544512 813367377920 817566829056 842580951040 848731176960 854926295040 870557271680 908407587840 915038300160 947903569920 954822574080 968968093696 976040853504 979376930640 1011097141248 1018477412352 1021958536320 1044668726016 1090089105408 1098045960192 1137484283904 1175252316768 1211210117120 1220051066880 1263871426560 1273096765440 1282389442560 1301387804672 1305835907520 1362611381760 1372557450240 1392891634688 1421855354880 1453452140544 1464061280256 1469065395960 1516645711872 1527716118528 1567003089024 1626734755840 1635133658112 1685161902080 1697462353920 1741114543360 1816815175680 1830076600320 1895807139840 1909645148160 1937936187392 1952081707008 1958753861280 2022194282496 2043917072640 2089337452032 2180178210816 2196091920384 2274968567808 2350504633536 2422420234240 2440102133760 2527742853120 2546193530880 2564778885120 2602775609344 2611671815040 2725222763520 2745114900480 2785783269376 2843710709760 2906904281088 2928122560512 2938130791920 3033291423744 3055432237056 3134006178048 3253469511680 3270267316224 3370323804160 3482229086720 3633630351360 3660153200640 3791614279680 3819290296320 3875872374784 3904163414016 3917507722560 4087834145280 4178674904064 4360356421632 4392183840768 4549937135616 4701009267072 4844840468480 4880204267520 5055485706240 5092387061760 5223343630080 5450445527040 5490229800960 5571566538752 5687421419520 5813808562176 5856245121024 5876261583840 6066582847488 6268012356096 6506939023360 6540534632448 6964458173440 7267260702720 7320306401280 7583228559360 7638580592640 7751744749568 7808326828032 7835015445120 8175668290560 8357349808128 8720712843264 8784367681536 9099874271232 9402018534144 9689680936960 9760408535040 10110971412480 10446687260160 10900891054080 10980459601920 11143133077504 11374842839040 11627617124352 11712490242048 11752523167680 12536024712192 13013878046720 13081069264896 13928916346880 14534521405440 14640612802560 15166457118720 15277161185280 15503489499136 15670030890240 16351336581120 16714699616256 17441425686528 17568735363072 18199748542464 18804037068288 19379361873920 19520817070080 20893374520320 21801782108160 21960919203840 22286266155008 22749685678080 23255234248704 23424980484096 23505046335360 25072049424384 26162138529792 27857832693760 29069042810880 29281225605120 30332914237440 31340061780480 32702673162240 33429399232512 34882851373056 35137470726144 37608074136576 38758723747840 39041634140160 41786749040640 43603564216320 43921838407680 44572532310016 45499371356160 46510468497408 47010092670720 50144098848768 52324277059584 55715665387520 58138085621760 58562451210240 62680123560960 65405346324480 66858798465024 69765702746112 70274941452288 75216148273152 77517447495680 83573498081280 87207128432640 87843676815360 89145064620032 90998742712320 94020185341440 100288197697536 104648554119168 111431330775040 116276171243520 117124902420480 125360247121920 130810692648960 133717596930048 139531405492224 150432296546304 167146996162560 174414256865280 175687353630720 178290129240064 188040370682880 200576395395072 209297108238336 222862661550080 232552342487040 250720494243840 261621385297920 267435193860096 300864593092608 334293992325120 348828513730560 351374707261440 356580258480128 376080741365760 401152790790144 418594216476672 445725323100160 501440988487680 523242770595840 534870387720192 601729186185216 668587984650240 697657027461120 752161482731520 802305581580288 891450646200320 1002881976975360 1046485541191680 1069740775440384 1203458372370432 1337175969300480 1504322965463040 1604611163160576 1782901292400640 2005763953950720 2092971082383360 2406916744740864 2674351938600960 3008645930926080 3209222326321152 4011527907901440 4813833489481728 5348703877201920 6017291861852160 8023055815802880 9627666978963456 12034583723704320 16046111631605760 24069167447408640 48138334894817280
- Sum of all divisors σ(n): 180239021633966400
- Sum of proper divisors (its aliquot sum) s(n): 132100686739149120
- 48138334894817280 is an abundant number, because the sum of its proper divisors (132100686739149120) is greater than itself. Its abundance is 83962351844331840
Bases of 48138334894817280
- Binary: 101010110000010110001111011111110111110000000000000000002
- Hexadecimal: 0xAB058F7F7C0000
- Base-36: D5ZM5R9EDC0
Squares and roots of 48138334894817280
- 48138334894817280 squared (481383348948172802) is 2317299286445582987921004586598400
- 48138334894817280 cubed (481383348948172803) is 111550929102438591140436721670951882113104740352000
-
The
square root of 48138334894817280 is 219404500.6257102283 -
The
cube root of 48138334894817280 is 363772.9103580735
Scales and comparisons
How big is 48138334894817280?- 48,138,334,894,817,280 seconds is equal to 1,530,650,148 years, 3 days, 4 hours, 48 minutes.
-
To count from 1 to 48,138,334,894,817,280 would take you about four billion, five hundred ninety-one million, nine hundred fifty thousand, four hundred forty-four 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 48138334894817280 cubic inches would be around 30314.4 feet tall.
Recreational maths with 48138334894817280
- 48138334894817280 backwards is 08271849843383184
- The number of decimal digits it has is: 17
- The sum of 48138334894817280's digits is 81
- More coming soon!
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MLA style:
"Number 48138334894817280 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 48138334894817280 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/48138334894817280/
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Numbermatics. 2024. "Number 48138334894817280 - Facts about the integer". https://numbermatics.com/n/48138334894817280/
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