48133648221732864
48,133,648,221,732,864 is an even composite number composed of five prime numbers multiplied together.
48133648221732864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 48133648221732864:
226 × 33 × 72 × 532 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 53 × 53 × 193)See below for interesting mathematical facts about the number 48133648221732864 from the Numbermatics database.
Names of 48133648221732864
- Cardinal: 48133648221732864 can be written as Forty-eight quadrillion, one hundred thirty-three trillion, six hundred forty-eight billion, two hundred twenty-one million, seven hundred thirty-two thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.8133648221732864 × 1016
Factors of 48133648221732864
Divisors of 48133648221732864
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 84 96 98 106 108 112 126 128 144 147 159 168 189 192 193 196 212 216 224 252 256 288 294 318 336 371 378 384 386 392 424 432 441 448 477 504 512 576 579 588 636 672 742 756 768 772 784 848 864 882 896 954 1008 1024 1113 1152 1158 1176 1272 1323 1344 1351 1431 1484 1512 1536 1544 1568 1696 1728 1737 1764 1792 1908 2016 2048 2226 2304 2316 2352 2544 2597 2646 2688 2702 2809 2862 2968 3024 3072 3088 3136 3339 3392 3456 3474 3528 3584 3816 4032 4053 4096 4452 4608 4632 4704 5088 5194 5211 5292 5376 5404 5618 5724 5936 6048 6144 6176 6272 6678 6784 6912 6948 7056 7168 7632 7791 8064 8106 8192 8427 8904 9216 9264 9408 9457 10017 10176 10229 10388 10422 10584 10752 10808 11236 11448 11872 12096 12159 12288 12352 12544 13356 13568 13824 13896 14112 14336 15264 15582 16128 16212 16384 16854 17808 18432 18528 18816 18914 19663 20034 20352 20458 20776 20844 21168 21504 21616 22472 22896 23373 23744 24192 24318 24576 24704 25088 25281 26712 27136 27648 27792 28224 28371 28672 30528 30687 31164 32256 32424 32768 33708 35616 36477 36864 37056 37632 37828 39326 40068 40704 40916 41552 41688 42336 43008 43232 44944 45792 46746 47488 48384 48636 49152 49408 50176 50562 53424 54272 55296 55584 56448 56742 57344 58989 61056 61374 62328 64512 64848 65536 67416 70119 71232 71603 72954 73728 74112 75264 75656 75843 78652 80136 81408 81832 83104 83376 84672 85113 86016 86464 89888 91584 92061 93492 94976 96768 97272 98304 98816 100352 101124 106848 108544 110592 111168 112896 113484 114688 117978 122112 122748 124656 129024 129696 131072 134832 137641 140238 142464 143206 145908 147456 148224 150528 151312 151686 157304 160272 162816 163664 166208 166752 169344 170226 172032 172928 176967 179776 183168 184122 186984 189952 193536 194544 196608 197632 200704 202248 213696 214809 217088 221184 222336 225792 226968 229376 235956 244224 245496 249312 255339 258048 259392 262144 269664 275282 276183 280476 284928 286412 291816 294912 296448 301056 302624 303372 314608 320544 325632 327328 332416 333504 338688 340452 344064 345856 353934 359552 366336 368244 373968 379904 387072 389088 393216 395264 401408 404496 412923 427392 429618 434176 442368 444672 451584 453936 458752 471912 488448 490992 498624 501221 510678 516096 518784 524288 530901 539328 542137 550564 552366 560952 569856 572824 583632 589824 592896 602112 605248 606744 629216 641088 644427 651264 654656 664832 667008 677376 680904 688128 691712 707868 719104 732672 736488 747936 759808 774144 778176 786432 790528 802816 808992 825846 854784 859236 868352 884736 889344 903168 907872 917504 943824 976896 981984 997248 1002442 1021356 1032192 1037568 1048576 1061802 1078656 1084274 1101128 1104732 1121904 1139712 1145648 1167264 1179648 1185792 1204224 1210496 1213488 1238769 1258432 1282176 1288854 1302528 1309312 1329664 1334016 1354752 1361808 1376256 1383424 1415736 1438208 1465344 1472976 1495872 1503663 1519616 1548288 1556352 1572864 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194510848 198180864 199213056 201326592 202375168 204927786 205520896 207101952 208180608 211416576 212517704 216527472 218824704 219964416 222298112 226492416 227672064 231211008 232415232 234203184 234881024 237843648 239082417 241618944 242877376 247459968 250085376 251387904 255295488 256625152 261467136 264241152 265617408 271821312 273237048 276135936 277574144 281888768 282811392 287207424 288703296 291766272 293285888 298819584 301989888 303562752 308281344 309886976 310652928 312270912 317124864 318776556 322158592 328237056 329946624 333447168 335183872 340393984 341508096 346816512 348622848 352321536 354156544 362428416 364316064 368181248 375128064 377081856 382943232 384937728 389021696 396361728 398426112 404750336 409855572 411041792 414203904 416361216 422833152 425035408 433054944 437649408 439928832 444596224 452984832 455344128 462422016 464830464 468406368 469762048 475687296 478164834 483237888 485754752 494919936 500170752 502775808 510590976 513250304 522934272 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66935586816 67998056448 69586255872 69948684288 70690799616 71058980864 72163524608 72399716352 73525100544 73908043776 74692165632 75081187328 76497813504 79331065856 79527149568 79941353472 81183965184 81606798336 82472599552 84028686336 84466335744 85807071232 87140859904 87426072576 88785027072 89247449088 90664075264 91807648128 92781674496 93264912384 94254399488 96032784384 96532955136 98033467392 98544058368 101997084672 104923026432 106036199424 106588471296 108245286912 108809064448 110862065664 112038248448 112621780992 116568096768 118996598784 119912030208 121775947776 122410197504 123708899328 124353216512 126699503616 128710606848 130711289856 131392077824 133871173632 135996112896 139172511744 139897368576 141381599232 142117961728 144327049216 144799432704 147050201088 147816087552 150162374656 152995627008 158662131712 159054299136 159882706944 162367930368 163213596672 164945199104 168057372672 168932671488 171614142464 174281719808 174852145152 178494898176 183615296256 185563348992 186529824768 188508798976 193065910272 196066934784 197088116736 203994169344 209846052864 212072398848 213176942592 216490573824 217618128896 221724131328 224076496896 225243561984 237993197568 239824060416 243551895552 244820395008 247417798656 248706433024 253399007232 257421213696 261422579712 262784155648 267742347264 271992225792 278345023488 279794737152 282763198464 284235923456 288654098432 289598865408 294100402176 295632175104 300324749312 305991254016 317324263424 318108598272 319765413888 324735860736 326427193344 329890398208 336114745344 337865342976 343228284928 349704290304 356989796352 367230592512 371126697984 373059649536 386131820544 392133869568 394176233472 407988338688 419692105728 424144797696 426353885184 432981147648 435236257792 443448262656 450487123968 475986395136 479648120832 487103791104 489640790016 494835597312 497412866048 506798014464 514842427392 522845159424 525568311296 535484694528 556690046976 559589474304 565526396928 568471846912 577308196864 579197730816 588200804352 591264350208 600649498624 611982508032 634648526848 636217196544 639530827776 649471721472 652854386688 659780796416 672229490688 675730685952 686456569856 713979592704 734461185024 742253395968 746119299072 772263641088 784267739136 788352466944 815976677376 839384211456 848289595392 852707770368 865962295296 870472515584 886896525312 900974247936 951972790272 959296241664 974207582208 979281580032 989671194624 994825732096 1013596028928 1029684854784 1051136622592 1070969389056 1113380093952 1119178948608 1136943693824 1154616393728 1158395461632 1176401608704 1182528700416 1201298997248 1223965016064 1272434393088 1279061655552 1298943442944 1305708773376 1319561592832 1351461371904 1427959185408 1468922370048 1484506791936 1492238598144 1544527282176 1568535478272 1576704933888 1678768422912 1696579190784 1705415540736 1731924590592 1740945031168 1773793050624 1801948495872 1903945580544 1918592483328 1948415164416 1958563160064 1979342389248 1989651464192 2027192057856 2059369709568 2102273245184 2141938778112 2226760187904 2238357897216 2273887387648 2309232787456 2316790923264 2352803217408 2365057400832 2402597994496 2447930032128 2544868786176 2558123311104 2597886885888 2611417546752 2702922743808 2855918370816 2937844740096 2969013583872 2984477196288 3089054564352 3153409867776 3357536845824 3410831081472 3463849181184 3481890062336 3547586101248 3603896991744 3837184966656 3896830328832 3917126320128 3958684778496 3979302928384 4054384115712 4204546490368 4283877556224 4453520375808 4476715794432 4547774775296 4618465574912 4633581846528 4705606434816 4730114801664 4805195988992 5089737572352 5116246622208 5195773771776 5222835093504 5405845487616 5711836741632 5875689480192 5938027167744 5968954392576 6178109128704 6306819735552 6715073691648 6821662162944 6927698362368 6963780124672 7095172202496 7207793983488 7674369933312 7793660657664 7834252640256 7958605856768 8108768231424 8409092980736 8567755112448 8907040751616 8953431588864 9095549550592 9236931149824 9267163693056 9460229603328 10232493244416 10391547543552 10445670187008 10811690975232 11751378960384 11876054335488 11937908785152 12613639471104 13430147383296 13643324325888 13855396724736 13927560249344 14190344404992 14415587966976 15348739866624 15587321315328 15668505280512 15917211713536 16217536462848 16818185961472 17135510224896 17814081503232 17906863177728 18191099101184 18534327386112 18920459206656 20464986488832 20783095087104 20891340374016 21623381950464 23502757920768 23875817570304 25227278942208 26860294766592 27286648651776 27710793449472 27855120498688 28380688809984 30697479733248 31174642630656 31337010561024 31834423427072 32435072925696 33636371922944 35628163006464 35813726355456 36382198202368 37840918413312 40929972977664 41566190174208 41782680748032 43246763900928 47005515841536 47751635140608 50454557884416 53720589533184 54573297303552 55710240997376 56761377619968 61394959466496 62349285261312 62674021122048 63668846854144 64870145851392 71627452710912 75681836826624 81859945955328 83132380348416 83565361496064 94011031683072 95503270281216 100909115768832 107441179066368 109146594607104 111420481994752 113522755239936 122789918932992 124698570522624 125348042244096 127337693708288 129740291702784 143254905421824 151363673653248 163719891910656 167130722992128 188022063366144 191006540562432 214882358132736 222840963989504 227045510479872 245579837865984 249397141045248 250696084488192 254675387416576 286509810843648 302727347306496 327439783821312 334261445984256 376044126732288 382013081124864 429764716265472 445681927979008 454091020959744 491159675731968 501392168976384 573019621687296 668522891968512 752088253464576 764026162249728 859529432530944 891363855958016 908182041919488 982319351463936 1002784337952768 1146039243374592 1337045783937024 1504176506929152 1719058865061888 1782727711916032 2005568675905536 2292078486749184 2674091567874048 3008353013858304 3438117730123776 4011137351811072 5348183135748096 6016706027716608 6876235460247552 8022274703622144 12033412055433216 16044549407244288 24066824110866432 48133648221732864
- Sum of all divisors σ(n): 169968250674010320
- Sum of proper divisors (its aliquot sum) s(n): 121834602452277456
- 48133648221732864 is an abundant number, because the sum of its proper divisors (121834602452277456) is greater than itself. Its abundance is 73700954230544592
Bases of 48133648221732864
- Binary: 101010110000000101001100010011000000000000000000000000002
- Hexadecimal: 0xAB014C4C000000
- Base-36: D5XYCQ991C0
Squares and roots of 48133648221732864
- 48133648221732864 squared (481336482217328642) is 2316848091133527300781206977642496
- 48133648221732864 cubed (481336482217328643) is 111518351001814486794162756501394232834862606188544
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The
square root of 48133648221732864 is 219393819.9260244979 -
The
cube root of 48133648221732864 is 363761.1045208417
Scales and comparisons
How big is 48133648221732864?- 48,133,648,221,732,864 seconds is equal to 1,530,501,126 years, 15 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 48,133,648,221,732,864 would take you about four billion, five hundred ninety-one million, five hundred three thousand, three hundred seventy-eight 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 48133648221732864 cubic inches would be around 30313.4 feet tall.
Recreational maths with 48133648221732864
- 48133648221732864 backwards is 46823712284633184
- 48133648221732864 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48133648221732864's digits is 72
- More coming soon!
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The information we have on file for 48133648221732864 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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