48973993984486737920
48,973,993,984,486,737,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 48973993984486737920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
48973993984486737920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 48973993984486737920:
211 × 5 × 133 × 312 × 41 × 74332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 13 × 31 × 31 × 41 × 7433 × 7433)See below for interesting mathematical facts about the number 48973993984486737920 from the Numbermatics database.
Names of 48973993984486737920
- Cardinal: 48973993984486737920 can be written as Forty-eight quintillion, nine hundred seventy-three quadrillion, nine hundred ninety-three trillion, nine hundred eighty-four billion, four hundred eighty-six million, seven hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.897399398448673792 × 1019
Factors of 48973993984486737920
Divisors of 48973993984486737920
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 40 41 52 62 64 65 80 82 104 124 128 130 155 160 164 169 205 208 248 256 260 310 320 328 338 403 410 416 496 512 520 533 620 640 656 676 806 820 832 845 961 992 1024 1040 1066 1240 1271 1280 1312 1352 1612 1640 1664 1690 1922 1984 2015 2048 2080 2132 2197 2480 2542 2560 2624 2665 2704 3224 3280 3328 3380 3844 3968 4030 4160 4264 4394 4805 4960 5084 5120 5239 5248 5330 5408 6355 6448 6560 6656 6760 6929 7433 7688 7936 8060 8320 8528 8788 9610 9920 10168 10240 10478 10496 10660 10816 10985 12493 12710 12896 13120 13312 13520 13858 14866 15376 15872 16120 16523 16640 17056 17576 19220 19840 20336 20956 20992 21320 21632 21970 24986 25420 25792 26195 26240 26624 27040 27716 29732 30752 31744 32240 33046 33280 34112 34645 35152 37165 38440 39401 39680 40672 41912 41984 42640 43264 43940 49972 50840 51584 52390 52480 54080 55432 59464 61504 62465 63488 64480 66092 66560 68107 68224 69290 70304 74330 76880 78802 79360 81344 82615 83824 83968 85280 86528 87880 90077 96629 99944 101680 103168 104780 104960 108160 110864 118928 123008 124930 128960 132184 133120 136214 136448 138580 140608 148660 153760 157604 158720 162409 162688 165230 167648 170560 173056 175760 180154 193258 197005 199888 203360 206336 209560 209920 214799 216320 221728 230423 237856 246016 249860 257920 264368 272428 272896 277160 281216 297320 304753 307520 315208 317440 324818 325376 330460 335296 340535 341120 346112 351520 360308 386516 394010 399776 406720 412672 419120 419840 429598 432640 443456 450385 460846 475712 483145 492032 499720 512213 515840 528736 544856 545792 554320 562432 594640 609506 615040 630416 649636 650752 660920 670592 681070 682240 703040 720616 773032 788020 799552 812045 813440 825344 838240 859196 865280 886912 900770 921692 951424 966290 984064 999440 1024426 1031680 1057472 1073995 1089712 1091584 1108640 1124864 1152115 1189280 1219012 1230080 1256177 1260832 1299272 1301504 1321840 1341184 1362140 1364480 1406080 1441232 1523765 1546064 1576040 1599104 1624090 1626880 1676480 1718392 1730560 1773824 1801540 1843384 1902848 1932580 1968128 1998880 2048852 2063360 2111317 2114944 2147990 2179424 2217280 2249728 2304230 2378560 2438024 2460160 2512354 2521664 2561065 2598544 2603008 2643680 2682368 2724280 2728960 2792387 2812160 2882464 2995499 3047530 3092128 3152080 3198208 3248180 3253760 3352960 3436784 3547648 3603080 3686768 3805696 3865160 3961789 3997760 4097704 4126720 4222634 4229888 4295980 4358848 4434560 4499456 4608460 4757120 4876048 4920320 5024708 5043328 5122130 5197088 5287360 5364736 5448560 5457920 5584774 5624320 5764928 5990998 6095060 6184256 6280885 6304160 6396416 6496360 6507520 6658769 6705920 6873568 7095296 7143113 7206160 7373536 7611392 7730320 7923578 7995520 8195408 8445268 8459776 8591960 8717696 8869120 9216920 9447343 9514240 9752096 9840640 10049416 10086656 10244260 10394176 10556585 10574720 10729472 10897120 11169548 11248640 11529856 11981996 12190120 12368512 12561770 12608320 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1648104224 1663068160 1704644864 1712734159 1731279940 1767983648 1787127680 1828636928 1857209380 1917119360 1965047344 2024957324 2028435968 2060130280 2090278528 2130806080 2161988608 2199541760 2209979560 2265229049 2285796160 2342941064 2359531520 2414372194 2418519808 2456309180 2492255168 2531196655 2535544960 2572650496 2612848160 2622530560 2678169364 2702485760 2770047904 2859404288 2872973428 2928676330 2971535008 3023149760 3067390976 3115318960 3120670720 3193201934 3215813120 3296208448 3347711705 3409289728 3425468318 3462559880 3535967296 3574255360 3591216785 3657273856 3714418760 3807279229 3834238720 3930094688 4049914648 4056871936 4120260560 4180557056 4261612160 4323977216 4419959120 4530458098 4571592320 4685882128 4828744388 4837039616 4912618360 4984510336 5062393310 5071089920 5225696320 5245061120 5356338728 5404971520 5540095808 5718808576 5745946856 5857352660 5943070016 6035930485 6046299520 6134781952 6230637920 6386403868 6431626240 6592416896 6695423410 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113999585623040 116649185367013 116849575263616 118675349877110 120412062314336 122503586969920 124296322388992 126706252741120 135922582858240 139320647429696 141497532545785 143568228144016 143814861862912 146061969079520 148199461309952 150515077892920 150773645501440 154277954840243 155370402986240 159254663060896 160700613232640 164718128563456 174150809287120 176699357715712 179460285180020 179768577328640 185249326637440 189880559803376 196005739151872 199068328826120 205897660704320 212539520727040 220874197144640 226396052073256 227999171246080 233298370734026 233699150527232 237350699754220 240824124628672 245007173939840 248592644777984 253412505482240 271845165716480 278641294859392 282995065091570 287136456288032 292123938159040 296398922619904 301030155785840 301547291002880 308555909680486 310740805972480 318509326121792 329436257126912 348301618574240 353398715431424 358920570360040 359537154657280 367893584619041 370498653274880 379761119606752 392011478303744 398136657652240 411795321408640 441748394289280 452792104146512 466596741468052 467398301054464 474701399508440 481648249257344 490014347879680 506825010964480 543690331432960 557282589718784 565990130183140 574272912576064 583245926835065 584247876318080 592797845239808 602060311571680 617111819360972 621481611944960 637018652243584 658872514253824 696603237148480 706797430862848 717841140720080 719074309314560 735787169238082 740997306549760 759522239213504 771389774201215 784022956607488 796273315304480 823590642817280 883496788578560 905584208293024 933193482936104 934796602108928 949402799016880 963296498514688 980028695759360 1114565179437568 1131980260366280 1148545825152128 1166491853670130 1168495752636160 1204120623143360 1234223638721944 1242963223889920 1274037304487168 1317745028507648 1393206474296960 1413594861725696 1435682281440160 1471574338476164 1481994613099520 1519044478427008 1542779548402430 1592546630608960 1647181285634560 1766993577157120 1811168416586048 1839467923095205 1866386965872208 1869593204217856 1898805598033760 1926592997029376 1960057391518720 2229130358875136 2263960520732560 2297091650304256 2332983707340260 2336991505272320 2408241246286720 2468447277443888 2548074608974336 2786412948593920 2871364562880320 2943148676952328 2963989226199040 3038088956854016 3085559096804860 3185093261217920 3294362571269120 3533987154314240 3622336833172096 3678935846190410 3732773931744416 3797611196067520 3853185994058752 3920114783037440 4458260717750272 4527921041465120 4594183300608512 4665967414680520 4673983010544640 4782616600047533 4816482492573440 4936894554887776 5096149217948672 5572825897187840 5742729125760640 5886297353904656 6076177913708032 6171118193609720 6370186522435840 6588725142538240 7067974308628480 7244673666344192 7357871692380820 7465547863488832 7595222392135040 7706371988117504 9055842082930240 9188366601217024 9331934829361040 9347966021089280 9565233200095066 9632964985146880 9873789109775552 10192298435897344 11145651794375680 11485458251521280 11772594707809312 12152355827416064 12342236387219440 12740373044871680 14489347332688384 14715743384761640 14931095726977664 15190444784270080 18111684165860480 18376733202434048 18663869658722080 19130466400190132 19265929970293760 19747578219551104 22291303588751360 22970916503042560 23545189415618624 23913083000237665 24304711654832128 24684472774438880 25480746089743360 28978694665376768 29431486769523280 29862191453955328 30380889568540160 36223368331720960 37327739317444160 38260932800380264 38531859940587520 39495156439102208 45941833006085120 47090378831237248 47826166000475330 49368945548877760 50961492179486720 57957389330753536 58862973539046560 59724382907910656 60761779137080320 72446736663441920 74655478634888320 76521865600760528 78990312878204416 91883666012170240 94180757662474496 95652332000950660 98737891097755520 117725947078093120 119448765815821312 121523558274160640 144893473326883840 149310957269776640 153043731201521056 157980625756408832 188361515324948992 191304664001901320 197475782195511040 235451894156186240 238897531631642624 289786946653767680 298621914539553280 306087462403042112 315961251512817664 376723030649897984 382609328003802640 394951564391022080 470903788312372480 597243829079106560 612174924806084224 753446061299795968 765218656007605280 789903128782044160 941807576624744960 1194487658158213120 1224349849612168448 1530437312015210560 1579806257564088320 1883615153249489920 2448699699224336896 3060874624030421120 3767230306498979840 4897399398448673792 6121749248060842240 9794798796897347584 12243498496121684480 24486996992243368960 48973993984486737920
- Sum of all divisors σ(n): 134761969633926070800
- Sum of proper divisors (its aliquot sum) s(n): 85787975649439332880
- 48973993984486737920 is an abundant number, because the sum of its proper divisors (85787975649439332880) is greater than itself. Its abundance is 36813981664952594960
Bases of 48973993984486737920
- Binary: 1010100111101001101001010000001101101101010111001100001000000000002
- Hexadecimal: 0x2A7A6940DB5730800
- Base-36: AC2XJZ7AM28ZK
Squares and roots of 48973993984486737920
- 48973993984486737920 squared (489739939844867379202) is 2398452086792543192187966260362765926400
- 48973993984486737920 cubed (489739939844867379203) is 117461778070657673730218677377076807083712937910062809088000
-
The
square root of 48973993984486737920 is 6998142180.9282167455 -
The
cube root of 48973993984486737920 is 3658658.2215764157
Scales and comparisons
How big is 48973993984486737920?- 48,973,993,984,486,737,920 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,973,993,984,486,737,920 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 48973993984486737920 cubic inches would be around 304888.2 feet tall.
Recreational maths with 48973993984486737920
- 48973993984486737920 backwards is 02973768448939937984
- The number of decimal digits it has is: 20
- The sum of 48973993984486737920's digits is 119
- More coming soon!
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The information we have on file for 48973993984486737920 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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