48085536138412800
48,085,536,138,412,800 is an even composite number composed of six prime numbers multiplied together.
48085536138412800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 48085536138412800:
28 × 3 × 52 × 172 × 1272 × 7332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 127 × 127 × 733 × 733)See below for interesting mathematical facts about the number 48085536138412800 from the Numbermatics database.
Names of 48085536138412800
- Cardinal: 48085536138412800 can be written as Forty-eight quadrillion, eighty-five trillion, five hundred thirty-six billion, one hundred thirty-eight million, four hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.80855361384128 × 1016
Factors of 48085536138412800
Divisors of 48085536138412800
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 127 128 136 150 160 170 192 200 204 240 254 255 256 272 289 300 320 340 381 384 400 408 425 480 508 510 544 578 600 635 640 680 733 762 768 800 816 850 867 960 1016 1020 1088 1156 1200 1270 1275 1280 1360 1445 1466 1524 1600 1632 1700 1734 1905 1920 2032 2040 2159 2176 2199 2312 2400 2540 2550 2720 2890 2932 3048 3175 3200 3264 3400 3468 3665 3810 3840 4064 4080 4318 4335 4352 4398 4624 4800 5080 5100 5440 5780 5864 6096 6350 6400 6477 6528 6800 6936 7225 7330 7620 8128 8160 8636 8670 8796 9248 9525 9600 10160 10200 10795 10880 10995 11560 11728 12192 12461 12700 12954 13056 13600 13872 14450 14660 15240 16129 16256 16320 17272 17340 17592 18325 18496 19050 19200 20320 20400 21590 21675 21760 21990 23120 23456 24384 24922 25400 25908 27200 27744 28900 29320 30480 32258 32385 32512 32640 34544 34680 35184 36650 36703 36992 37383 38100 40640 40800 43180 43350 43980 46240 46912 48387 48768 49844 50800 51816 53975 54400 54975 55488 57800 58640 60960 62305 64516 64770 65280 69088 69360 70368 73300 73406 73984 74766 76200 80645 81280 81600 86360 86700 87960 92480 93091 93824 96774 97536 99688 101600 103632 107950 108800 109950 110109 110976 115600 117280 121920 124610 129032 129540 138176 138720 140736 146600 146812 149532 152400 161290 161925 162560 163200 172720 173400 175920 183515 184960 186182 186915 187648 193548 199376 203200 207264 211837 215900 219900 220218 221952 231200 234560 241935 243840 249220 258064 259080 274193 276352 277440 279273 281472 293200 293624 299064 304800 311525 322580 323850 326400 345440 346800 351840 367030 369920 372364 373830 387096 398752 403225 406400 414528 423674 431800 439800 440436 462400 465455 469120 483870 487680 498440 516128 518160 537289 548386 550545 552704 554880 558546 562944 586400 587248 598128 609600 623050 635511 645160 647700 690880 693600 703680 734060 744728 747660 774192 797504 806450 812800 822579 829056 847348 863600 879600 880872 917575 924800 930910 934575 938240 967740 996880 1032256 1036320 1059185 1074578 1096772 1101090 1109760 1117092 1172800 1174496 1196256 1209675 1219200 1246100 1271022 1290320 1295400 1370965 1381760 1387200 1396365 1407360 1468120 1489456 1495320 1548384 1582547 1595008 1611867 1612900 1645158 1658112 1694696 1727200 1759200 1761744 1835150 1849600 1861820 1869150 1935480 1993760 2064512 2072640 2118370 2149156 2193544 2202180 2234184 2327275 2345600 2348992 2392512 2419350 2438400 2492200 2542044 2580640 2590800 2686445 2741930 2752725 2763520 2774400 2792730 2814720 2936240 2978912 2990640 3096768 3165094 3177555 3190016 3223734 3225800 3290316 3389392 3454400 3518400 3523488 3670300 3723640 3738300 3870960 3987520 4112895 4129024 4145280 4236740 4298312 4387088 4404360 4468368 4654550 4661281 4691200 4697984 4747641 4785024 4838700 4984400 5084088 5161280 5181600 5295925 5372890 5483860 5505450 5548800 5585460 5872480 5957824 5981280 6193536 6330188 6355110 6447468 6451600 6580632 6778784 6854825 6908800 6981825 7036800 7046976 7340600 7447280 7476600 7741920 7912735 7975040 8059335 8225790 8290560 8473480 8596624 8774176 8808720 8936736 9133913 9309100 9322562 9395968 9495282 9570048 9677400 9968800 10168176 10322560 10363200 10591850 10745780 10967720 11010900 11170920 11744960 11822557 11915648 11962560 12387072 12660376 12710220 12894936 12903200 13161264 13432225 13557568 13709650 13817600 13963650 13983843 14073600 14093952 14681200 14894560 14953200 15483840 15825470 15887775 15950080 16118670 16451580 16946960 17193248 17548352 17617440 17873472 18267826 18618200 18645124 18990564 19354800 19937600 20336352 20564475 20645120 20726400 21183700 21491560 21935440 22021800 22341840 23306405 23489920 23645114 23738205 23831296 23925120 25320752 25420440 25789872 25806400 26322528 26864450 26903299 27115136 27401739 27419300 27927300 27967686 28187904 29362400 29789120 29906400 30967680 31650940 31775550 32237340 32903160 33893920 34386496 35096704 35234880 35467671 35746944 36535652 37236400 37290248 37981128 38709600 39563675 39875200 40296675 40672704 41128950 41452800 42367400 42983120 43870880 44043600 44683680 45669565 46612810 46979840 47290228 47476410 47850240 50641504 50840880 51579744 51612800 52645056 53728900 53806598 54230272 54803478 54838600 55854600 55935372 58724800 59112785 59578240 59812800 61935360 63301880 63551100 64474680 65806320 67787840 68235703 68772992 69919215 70193408 70469760 70935342 71493888 73071304 74472800 74580496 75962256 77419200 79127350 79750400 80593350 80709897 81345408 82257900 84734800 85966240 87741760 88087200 89367360 91339130 93225620 94580456 94952820 101283008 101681760 103159488 103225600 105290112 107457800 107613196 109606956 109677200 111709200 111870744 116532025 117449600 118225570 118691025 119156480 119625600 126603760 127102200 128949360 131612640 134516495 135575680 136471406 137008695 137545984 139838430 140939520 141870684 146142608 148945600 149160992 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32753137440 34167189730 34436222720 34663737124 34800208530 35074225920 37120222432 37266365040 37832182400 38588826048 39440236334 39750789376 40196693800 40941421800 41000627676 43045278400 43329671405 43670849920 43842782400 44748297600 45398618880 46400278040 46582956300 48236032560 49688486720 51250784595 51451768064 51654334080 51995605686 52405019904 54588562400 54667503568 55680333648 56748273600 58000347550 58457043200 59160354501 59626184064 60295040700 62110608400 64314710080 64567917600 65506274880 68334379460 69327474248 69600417060 74240444864 74532730080 75664364800 77177652096 78880472668 80393387600 81882843600 82001255352 85417974325 86090556800 86659342810 87000521325 87341699840 87685564800 89496595200 92800556080 93165912600 96472065120 98600590835 99376973440 102501569190 103308668160 103991211372 109177124800 109335007136 111360667296 113496547200 116000695100 118320709002 119252368128 120590081400 124221216800 128629420160 129135835200 129989014215 131012549760 136668758920 138654948496 139200834120 147320882777 148480889728 149065460160 154355304192 157760945336 160786775200 163765687200 164002510704 170835948650 172181113600 173318685620 174001042650 175371129600 185601112160 186331825200 192944130240 197201181670 198753946880 205003138380 207982422744 216648357025 218354249600 218670014272 222721334592 226993094400 232001390200 236641418004 241180162800 248442433600 256253922975 257258840320 258271670400 259978028430 262025099520 273337517840 277309896992 278401668240 294641765554 295801772505 296961779456 298130920320 315521890672 321573550400 327531374400 328005021408 341671897300 346637371240 348002085300 371202224320 372663650400 385888260480 394402363340 410006276760 415964845488 433296714050 436708499200 437340028544 441962648331 445442669184 464002780400 473282836008 482360325600 493002954175 496884867200 512507845950 516543340800 519956056860 546675035680 554619793984 556803336480 589283531108 591603545010 596261840640 631043781344 643147100800 649945071075 655062748800 656010042816 683343794600 693274742480 696004170600 736604413885 742404448640 745327300800 771776520960 788804726680 820012553520 831929690976 866593428100 874680057088 883925296662 890885338368 928005560800 946565672016 964720651200 986005908350 993769734400 1025015691900 1039912113720 1093350071360 1109239587968 1113606672960 1178567062216 1183207090020 1262087562688 1286294201600 1299890142150 1310125497600 1312020085632 1366687589200 1386549484960 1392008341200 1473208827770 1479008862525 1484808897280 1490654601600 1577609453360 1640025107040 1663859381952 1733186856200 1767850593324 1856011121600 1893131344032 1929441302400 1972011816700 2050031383800 2079824227440 2186700142720 2209813241655 2218479175936 2227213345920 2357134124432 2366414180040 2504455007209 2524175125376 2599780284300 2624040171264 2733375178400 2773098969920 2784016682400 2946417655540 2958017725050 2981309203200 3155218906720 3280050214080 3327718763904 3466373712400 3535701186648 3683022069425 3712022243200 3786262688064 3858882604800 3944023633400 4100062767600 4159648454880 4373400285440 4419626483310 4454426691840 4714268248864 4732828360080 5008910014418 5048350250752 5199560568600 5466750356800 5546197939840 5568033364800 5892835311080 5916035450100 6310437813440 6560100428160 6655437527808 6932747424800 7071402373296 7366044138850 7424044486400 7513365021627 7572525376128 7888047266800 8200125535200 8319296909760 8839252966620 9428536497728 9465656720160 10017820028836 10399121137200 10933500713600 11049066208275 11092395879680 11136066729600 11785670622160 11832070900200 12522275036045 12620875626880 13120200856320 13865494849600 14142804746592 14732088277700 15026730043254 15145050752256 15776094533600 16400251070400 16638593819520 17678505933240 18857072995456 18931313440320 20035640057672 20798242274400 21867001427200 22098132416550 22272133459200 23571341244320 23664141800400 25044550072090 25241751253760 27730989699200 28285609493184 29464176555400 30053460086508 31552189067200 32800502140800 33277187639040 35357011866480 37566825108135 37714145990912 37862626880640 40071280115344 41596484548800 44196264833100 47142682488640 47328283600800 50089100144180 55461979398400 56571218986368 58928353110800 60106920173016 62611375180225 63104378134400 65601004281600 70714023732960 75133650216270 75725253761280 80142560230688 83192969097600 88392529666200 94285364977280 94656567201600 100178200288360 113142437972736 117856706221600 120213840346032 125222750360450 126208756268800 141428047465920 150267300432540 160285120461376 166385938195200 176785059332400 187834125540675 188570729954560 189313134403200 200356400576720 235713412443200 240427680692064 250445500720900 282856094931840 300534600865080 320570240922752 353570118664800 375668251081350 378626268806400 400712801153440 471426824886400 480855361384128 500891001441800 565712189863680 601069201730160 641140481845504 707140237329600 751336502162700 801425602306880 942853649772800 961710722768256 1001782002883600 1202138403460320 1414280474659200 1502673004325400 1602851204613760 1923421445536512 2003564005767200 2404276806920640 2828560949318400 3005346008650800 3205702409227520 4007128011534400 4808553613841280 6010692017301600 8014256023068800 9617107227682560 12021384034603200 16028512046137600 24042768069206400 48085536138412800
- Sum of all divisors σ(n): 170146182035425428
- Sum of proper divisors (its aliquot sum) s(n): 122060645897012628
- 48085536138412800 is an abundant number, because the sum of its proper divisors (122060645897012628) is greater than itself. Its abundance is 73975109758599828
Bases of 48085536138412800
- Binary: 101010101101010110001010010101000101110101000011000000002
- Hexadecimal: 0xAAD58A545D4300
- Base-36: D5GWECD251C
Squares and roots of 48085536138412800
- 48085536138412800 squared (480855361384128002) is 2312218785718603373679703203840000
- 48085536138412800 cubed (480855361384128003) is 111184279980588864738708725918017681852465152000000
-
The
square root of 48085536138412800 is 219284144.7492563243 -
The
cube root of 48085536138412800 is 363639.8647394491
Scales and comparisons
How big is 48085536138412800?- 48,085,536,138,412,800 seconds is equal to 1,528,971,310 years, 45 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 48,085,536,138,412,800 would take you about four billion, five hundred eighty-six million, nine hundred thirteen thousand, nine hundred thirty-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 48085536138412800 cubic inches would be around 30303.3 feet tall.
Recreational maths with 48085536138412800
- 48085536138412800 backwards is 00821483163558084
- The number of decimal digits it has is: 17
- The sum of 48085536138412800's digits is 66
- More coming soon!
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"Number 48085536138412800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 48085536138412800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/48085536138412800/
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The information we have on file for 48085536138412800 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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