48725138373120
48,725,138,373,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48725138373120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
48725138373120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 48725138373120:
29 × 33 × 5 × 11 × 292 × 181 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 29 × 29 × 181 × 421)See below for interesting mathematical facts about the number 48725138373120 from the Numbermatics database.
Names of 48725138373120
- Cardinal: 48725138373120 can be written as Forty-eight trillion, seven hundred twenty-five billion, one hundred thirty-eight million, three hundred seventy-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.872513837312 × 1013
Factors of 48725138373120
Divisors of 48725138373120
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 32 33 36 40 44 45 48 54 55 58 60 64 66 72 80 87 88 90 96 99 108 110 116 120 128 132 135 144 145 160 165 174 176 180 181 192 198 216 220 232 240 256 261 264 270 288 290 297 319 320 330 348 352 360 362 384 396 421 432 435 440 464 480 495 512 522 528 540 543 576 580 594 638 640 660 696 704 720 724 768 783 792 841 842 864 870 880 905 928 957 960 990 1044 1056 1080 1086 1152 1160 1188 1263 1276 1280 1305 1320 1392 1408 1440 1448 1485 1536 1566 1584 1595 1629 1682 1684 1728 1740 1760 1810 1856 1914 1920 1980 1991 2088 2105 2112 2160 2172 2304 2320 2376 2523 2526 2552 2560 2610 2640 2715 2784 2816 2871 2880 2896 2970 3132 3168 3190 3258 3364 3368 3456 3480 3520 3620 3712 3789 3828 3840 3915 3960 3982 4176 4205 4210 4224 4320 4344 4608 4631 4640 4752 4785 4887 5046 5052 5104 5220 5249 5280 5430 5568 5632 5742 5760 5792 5940 5973 6264 6315 6336 6380 6516 6728 6736 6912 6960 7040 7240 7424 7569 7578 7656 7680 7830 7920 7964 8145 8352 8410 8420 8448 8613 8640 8688 9251 9262 9280 9504 9570 9774 9955 10092 10104 10208 10440 10498 10560 10860 11136 11367 11484 11520 11584 11880 11946 12209 12528 12615 12630 12672 12760 13032 13456 13472 13824 13893 13920 14080 14355 14480 14848 15138 15156 15312 15660 15747 15840 15928 16290 16704 16820 16840 16896 17226 17280 17376 17919 18502 18524 18560 18945 19008 19140 19548 19910 20184 20208 20416 20880 20996 21120 21720 22272 22707 22734 22968 23040 23155 23168 23760 23892 24418 24435 25056 25230 25260 25344 25520 26064 26245 26912 26944 27753 27786 27840 28160 28710 28960 29865 30276 30312 30624 31320 31494 31680 31856 32580 33408 33640 33680 34452 34560 34752 35838 36627 37004 37048 37120 37845 37890 38016 38280 39096 39820 40368 40416 40832 41679 41760 41992 42240 43065 43440 44544 45414 45468 45936 46255 46310 46336 47241 47520 47784 48836 48870 50112 50460 50520 50688 51040 52128 52490 53757 53824 53888 55506 55572 55680 56835 57420 57739 57920 59730 60552 60624 61045 61248 62640 62988 63360 63712 65160 66816 67280 67360 68904 69120 69465 69504 71676 73254 74008 74096 74240 75690 75780 76032 76201 76560 78192 78735 79640 80736 80832 81664 83259 83358 83520 83984 84480 86130 86880 89595 90828 90936 91872 92510 92620 92672 94482 95040 95568 97672 97740 100224 100920 101040 102080 104256 104980 107514 107648 107776 109881 111012 111144 111360 113535 113670 114840 115478 115840 119460 121104 121248 122090 122496 125037 125280 125976 126720 127424 130320 133632 134299 134560 134720 137808 138765 138930 139008 141723 143352 146508 148016 148192 151380 151560 152064 152221 152402 153120 156384 157470 159280 161472 161664 163328 166518 166716 167040 167968 172260 173217 173760 179190 181656 181872 183135 183744 185020 185240 188964 190080 191136 195344 195480 200448 201840 202080 204160 208395 208512 209960 215028 215296 215552 219762 222024 222288 222720 227070 227340 228603 229680 230956 231680 236205 238920 242208 242496 244180 244992 249777 250074 250560 251952 253440 254848 260640 268598 268785 269120 269440 275616 277530 277860 278016 283446 286704 288695 293016 296032 296384 302760 303120 304442 304804 306240 312768 314940 318560 322944 323328 329643 333036 333432 334080 335936 344520 346434 347520 354061 358380 363312 363744 366270 367488 370040 370480 377928 380160 381005 382272 390688 390960 400896 402897 403680 404160 408320 416295 416790 417024 419920 430056 430592 439524 444048 444576 454140 454680 456663 457206 459360 461912 463360 472410 477840 484416 484992 488360 489984 499554 500148 501120 503904 509696 519651 521280 537196 537570 538240 538880 549405 551232 555060 555720 566892 573408 577390 586032 592064 592768 605520 606240 608884 609608 612480 625185 625536 629880 637120 645888 646656 659286 666072 666864 668160 671495 671872 685809 689040 692868 695040 708122 708615 716760 726624 727488 732540 734976 740080 740960 755856 760320 761105 762010 764544 781376 781920 805794 807360 808320 816640 832590 833580 834048 838211 839840 860112 866085 879048 888096 889152 908280 909360 913326 914412 918720 923824 944820 955680 968832 969984 976720 999108 1000296 1002240 1007808 1019392 1039302 1042560 1062183 1074392 1075140 1076480 1077760 1098810 1102464 1110120 1111440 1133784 1143015 1146816 1154780 1172064 1184128 1185536 1208691 1211040 1212480 1217768 1219216 1224960 1248885 1250370 1251072 1259760 1274240 1291776 1318572 1332144 1333728 1342990 1343744 1369989 1371618 1378080 1385736 1390080 1416244 1417230 1433520 1453248 1454976 1465080 1469952 1480160 1481920 1511712 1522210 1524020 1529088 1558953 1562752 1563840 1611588 1614720 1616640 1648215 1665180 1667160 1674431 1676422 1679680 1720224 1732170 1758096 1770305 1776192 1778304 1816560 1818720 1826652 1828824 1837440 1847648 1889640 1911360 1937664 1939968 1953440 1998216 2000592 2004480 2014485 2015616 2057427 2078604 2085120 2124366 2148784 2150280 2152960 2197620 2204928 2209829 2220240 2222880 2267568 2283315 2286030 2293632 2309560 2344128 2368256 2371072 2417382 2422080 2424960 2435536 2438432 2449920 2497770 2500740 2502144 2514633 2519520 2548480 2598255 2637144 2664288 2667456 2685980 2687488 2739978 2743236 2756160 2771472 2832488 2834460 2867040 2906496 2909952 2930160 2960320 2963840 3023424 3044420 3048040 3058176 3117906 3125504 3127680 3186549 3223176 3229440 3233280 3296430 3330360 3334320 3348862 3352844 3359360 3429045 3440448 3464340 3516192 3540610 3552384 3556608 3626073 3633120 3637440 3653304 3657648 3674880 3695296 3779280 3822720 3875328 3894671 3906880 3996432 4001184 4028970 4031232 4109967 4114854 4157208 4170240 4191055 4248732 4297568 4300560 4395240 4409856 4419658 4440480 4445760 4535136 4566630 4572060 4587264 4619120 4688256 4736512 4834764 4844160 4849920 4871072 4876864 4995540 5001480 5023293 5029266 5039040 5096960 5196510 5274288 5310915 5328576 5334912 5371960 5479956 5486472 5512320 5542944 5664976 5668920 5734080 5812992 5819904 5860320 5920640 5927680 6043455 6046848 6088840 6096080 6235812 6251008 6255360 6373098 6446352 6458880 6592860 6629487 6660720 6668640 6697724 6705688 6718720 6849945 6858090 6880896 6928680 7032384 7081220 7104768 7113216 7252146 7266240 7274880 7306608 7315296 7349760 7390592 7543899 7558560 7645440 7789342 7794765 7813760 7992864 8002368 8057940 8062464 8219934 8229708 8314416 8372155 8382110 8497464 8595136 8601120 8790480 8839316 8880960 8891520 9070272 9133260 9144120 9174528 9238240 9376512 9559647 9669528 9688320 9699840 9742144 9753728 9991080 10002960 10046586 10058532 10078080 10287135 10393020 10548576 10621830 10657152 10669824 10743920 10959912 10972944 11024640 11049145 11085888 11329952 11337840 11468160 11625984 11684013 11720640 11841280 11855360 12086910 12093696 12177680 12192160 12471624 12510720 12573165 12746196 12892704 13185720 13258974 13321440 13337280 13395448 13411376 13437440 13699890 13716180 13761792 13857360 14064768 14162440 14209536 14504292 14532480 14549760 14613216 14630592 14781184 15069879 15087798 15117120 15290880 15578684 15589530 15627520 15932745 15985728 16004736 16115880 16439868 16459416 16628832 16744310 16764220 16994928 17190272 17202240 17580960 17678632 17761920 17783040 18130365 18140544 18266520 18288240 18476480 18753024 19119294 19339056 19376640 19473355 19484288 19507456 19888461 19982160 20005920 20093172 20117064 20156160 20549835 20574270 20786040 21097152 21243660 21314304 21339648 21487840 21919824 21945888 22049280 22098290 22171776 22631697 22659904 22675680 22936320 23368026 23441280 23682560 24173820 24187392 24308119 24355360 24384320 24943248 25116465 25146330 25492392 25785408 26371440 26517948 26642880 26674560 26790896 26822752 27399780 27432360 27523584 27714720 28129536 28324880 29008584 29064960 29099520 29226432 29261184 29562368 30139758 30175596 30234240 31157368 31179060 31255040 31865490 31971456 32009472 32231760 32879736 32918832 33147435 33257664 33488620 33528440 33989856 34380544 34404480 35052039 35161920 35357264 35523840 35566080 36260730 36281088 36533040 36576480 36952960 37719495 38238588 38678112 38946710 38968576 39014912 39776922 39964320 40011840 40186344 40234128 40312320 41099670 41148540 41572080 42194304 42487320 42628608 42975680 43839648 43891776 44196580 44343552 45209637 45263394 45319808 45351360 45872640 46736052 46882560 47798235 48347640 48616238 48710720 48768640 49886496 50232930 50292660 50984784 51570816 52742880 53035896 53285760 53349120 53581792 53645504 54799560 54864720 55429440 56259072 56649760 58017168 58129920 58420065 58452864 58522368 59665383 60279516 60351192 60468480 62314736 62358120 63730980 63942912 64018944 64085041 64463520 65759472 65837664 66294870 66515328 66977240 67056880 67979712 68761088 68808960 70104078 70323840 70714528 71047680 72521460 72562176 72924357 73066080 73152960 73905920 75349395 75438990 76477176 77356224 77893420 77937152 79553844 79928640 80023680 80372688 80468256 82199340 82297080 83144160 84388608 84974640 85951360 87679296 87783552 88393160 88687104 90419274 90526788 90639616 90702720 93472104 93765120 95596470 96695280 97232476 97421440 97537280 99442305 99772992 100465860 100585320 101969568 103141632 105156117 105485760 106071792 106571520 106698240 107163584 107291008 109599120 109729440 110858880 113158485 113299520 116034336 116840130 116905728 117044736 119330766 120559032 120702384 120936960 121540595 124629472 124716240 127461960 127885824 128170082 128927040 131518944 131675328 132589740 133030656 133954480 134113760 135959424 137617920 140208156 140647680 141429056 145042920 145848714 146132160 146305920 147811840 150698790 150877980 152954352 154712448 155786840 159107688 159857280 160047360 160745376 160936512 164398680 164594160 166288320 168777216 169949280 171902720 175260195 175358592 175567104 176786320 180838548 181053576 181279232 181405440 186944208 191192940 192255123 193390560 194464952 194842880 195074560 198884610 199545984 200931720 201170640 203939136 206283264 210312234 210971520 212143584 213143040 214327168 214582016 218773071 219198240 219458880 221717760 226048185 226316970 226599040 232068672 233680260 233811456 238661532 241118064 241404768 243081190 249258944 249432480 254923920 256340164 257854080 263037888 263350656 265179480 266061312 267908960 268227520 271918848 280416312 281295360 282858112 290085840 291697428 292264320 292611840 298326915 301397580 301755960 305908704 309424896 311573680 318215376 319714560 320094720 320425205 321490752 321873024 328797360 329188320 332576640 339898560 343805440 350520390 350717184 351134208 353572640 361677096 362107152 362810880 364621785 373888416 382385880 384510246 386781120 388929904 389685760 397769220 399091968 401863440 402341280 407878272 420624468 421943040 424287168 428654336 429164032 437546142 438396480 438917760 443435520 452096370 452633940 453198080 464137344 467360520 477323064 482236128 482809536 486162380 498517888 498864960 509847840 512680328 515708160 525780585 526075776 526701312 530358960 535817920 536455040 543837696 560832624 565716224 576765369 580171680 583394856 584528640 585223680 596653830 602795160 603511920 611817408 618849792 623147360 636430752 639429120 640850410 642981504 643746048 656319213 657594720 658376640 665153280 679797120 701040780 701434368 704935451 707145280 723354192 724214304 729243570 747776832 764771760 769020492 773562240 777859808 795538440 798183936 803726880 804682560 815756544 841248936 843886080 848574336 857308672 875092284 876792960 877835520 904192740 905267880 906396160 928274688 934721040 954646128 961275615 964472256 965619072 972324760 997035776 997729920 1019695680 1025360656 1031416320 1051561170 1052151552 1053402624 1060717920 1071635840 1072910080 1093865355 1121665248 1131432448 1153530738 1160343360 1166789712 1169057280 1193307660 1205590320 1207023840 1223634816 1246294720 1272861504 1281700820 1285963008 1287492096 1312638426 1315189440 1316753280 1330306560 1359594240 1402081560 1409870902 1414290560 1446708384 1448428608 1458487140 1495553664 1529543520 1538040984 1547124480 1555719616 1591076880 1607453760 1609365120 1631513088 1682497872 1697148672 1730296107 1750184568 1753585920 1755671040 1808385480 1810535760 1856549376 1869442080 1909292256 1922551230 1928944512 1931238144 1944649520 1994071552 1995459840 2039391360 2050721312 2103122340 2104303104 2114806353 2121435840 2143271680 2145820160 2187730710 2243330496 2307061476 2320686720 2333579424 2386615320 2411180640 2414047680 2447269632 2492589440 2545723008 2563401640 2571926016 2625276852 2630378880 2633506560 2719188480 2804163120 2819741804 2828581120 2883826845 2893416768 2896857216 2916974280 2991107328 3059087040 3076081968 3094248960 3111439232 3182153760 3214907520 3218730240 3281596065 3364995744 3394297344 3460592214 3500369136 3507171840 3524677255 3616770960 3621071520 3738884160 3818584512 3845102460 3857889024 3862476288 3889299040 3990919680 4078782720 4101442624 4206244680 4229612706 4242871680 4286543360 4375461420 4486660992 4614122952 4641373440 4667158848 4773230640 4822361280 4828095360 4894539264 4985178880 5091446016 5126803280 5250553704 5260757760 5267013120 5608326240 5639483608 5657162240 5767653690 5786833536 5793714432 5833948560 5982214656 6118174080 6152163936 6222878464 6344419059 6364307520 6429815040 6437460480 6563192130 6729991488 6921184428 7000738272 7049354510 7233541920 7242143040 7477768320 7637169024 7690204920 7715778048 7778598080 8157565440 8202885248 8412489360 8459225412 8485743360 8651480535 8750922840 8973321984 9228245904 9282746880 9334317696 9546461280 9644722560 9656190720 9970357760 10182892032 10253606560 10501107408 10521515520 10574031765 11216652480 11278967216 11535307380 11573667072 11587428864 11667897120 12236348160 12304327872 12445756928 12688838118 12728615040 12859630080 13126384260 13459982976 13842368856 14001476544 14098709020 14467083840 14484286080 14955536640 15274338048 15380409840 15557196160 16405770496 16824978720 16918450824 16971486720 17302961070 17501845680 17946643968 18456491808 18668635392 19033257177 19092922560 19289445120 19312381440 20507213120 21002214816 21148063530 22433304960 22557934432 23070614760 23147334144 23335794240 24472696320 24608655744 25377676236 25457230080 26252768520 26919965952 27684737712 28002953088 28197418040 28934167680 28968572160 29911073280 30548676096 30760819680 31114392320 31722095295 32811540992 33649957440 33836901648 34605922140 35003691360 36912983616 37337270784 38066514354 38185845120 38578890240 41014426240 42004429632 42296127060 44866609920 45115868864 46141229520 46671588480 49217311488 50755352472 50914460160 52505537040 53839931904 55369475424 56005906176 56394836080 57868335360 57937144320 61521639360 62228784640 63444190590 67299914880 67673803296 69211844280 70007382720 73825967232 76133028708 76371690240 82028852480 84008859264 84592254120 89733219840 90231737728 92282459040 93343176960 95166285885 98434622976 101510704944 105011074080 110738950848 112011812352 112789672160 115736670720 123043278720 126888381180 134599829760 135347606592 138423688560 140014765440 147651934464 152266057416 152743380480 164057704960 168017718528 169184508240 180463475456 184564918080 186686353920 190332571770 203021409888 210022148160 221477901696 225579344320 246086557440 253776762360 269199659520 270695213184 276847377120 280029530880 295303868928 304532114832 336035437056 338369016480 360926950912 369129836160 380665143540 406042819776 420044296320 442955803392 451158688640 492173114880 507553524720 541390426368 553694754240 560059061760 609064229664 676738032960 738259672320 761330287080 812085639552 840088592640 885911606784 902317377280 1015107049440 1082780852736 1107389508480 1218128459328 1353476065920 1476519344640 1522660574160 1624171279104 1680177185280 1804634754560 2030214098880 2214779016960 2436256918656 2706952131840 3045321148320 3248342558208 4060428197760 4429558033920 4872513837312 5413904263680 6090642296640 8120856395520 9745027674624 12181284593280 16241712791040 24362569186560 48725138373120
- Sum of all divisors σ(n): 197092507772160
- Sum of proper divisors (its aliquot sum) s(n): 148367369399040
- 48725138373120 is an abundant number, because the sum of its proper divisors (148367369399040) is greater than itself. Its abundance is 99642231025920
Bases of 48725138373120
- Binary: 10110001010000101101001001000001111010000000002
- Hexadecimal: 0x2C50B4907A00
- Base-36: H9S0PCAO0
Squares and roots of 48725138373120
- 48725138373120 squared (487251383731202) is 2374139109479691120338534400
- 48725138373120 cubed (487251383731203) is 115680256626433842564932046178461155328000
-
The
square root of 48725138373120 is 6980339.4167561793 -
The
cube root of 48725138373120 is 36524.5068104035
Scales and comparisons
How big is 48725138373120?- 48,725,138,373,120 seconds is equal to 1,549,308 years, 35 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 48,725,138,373,120 would take you about three million, eight hundred seventy-three thousand, two hundred seventy-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 48725138373120 cubic inches would be around 3043.7 feet tall.
Recreational maths with 48725138373120
- 48725138373120 backwards is 02137383152784
- 48725138373120 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48725138373120's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 48725138373120 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 48725138373120 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/48725138373120/
Chicago style:
Numbermatics. 2024. "Number 48725138373120 - Facts about the integer". https://numbermatics.com/n/48725138373120/
The information we have on file for 48725138373120 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 48725138373120, math, Factors of 48725138373120, curriculum, school, college, exams, university, Prime factorization of 48725138373120, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, seven hundred twenty-five billion, one hundred thirty-eight million, three hundred seventy-three thousand, one hundred twenty.