48768714819877920
48,768,714,819,877,920 is an even composite number composed of eight prime numbers multiplied together.
48768714819877920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48768714819877920:
25 × 3 × 5 × 7 × 312 × 61 × 2333 × 106129
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 31 × 61 × 2333 × 106129)See below for interesting mathematical facts about the number 48768714819877920 from the Numbermatics database.
Names of 48768714819877920
- Cardinal: 48768714819877920 can be written as Forty-eight quadrillion, seven hundred sixty-eight trillion, seven hundred fourteen billion, eight hundred nineteen million, eight hundred seventy-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.876871481987792 × 1016
Factors of 48768714819877920
Divisors of 48768714819877920
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 61 62 70 80 84 93 96 105 112 120 122 124 140 155 160 168 183 186 210 217 224 240 244 248 280 305 310 336 366 372 420 427 434 465 480 488 496 560 610 620 651 672 732 744 840 854 868 915 930 961 976 992 1085 1120 1220 1240 1281 1302 1464 1488 1680 1708 1736 1830 1860 1891 1922 1952 2135 2170 2333 2440 2480 2562 2604 2883 2928 2976 3255 3360 3416 3472 3660 3720 3782 3844 4270 4340 4666 4805 4880 4960 5124 5208 5673 5766 5856 6405 6510 6727 6832 6944 6999 7320 7440 7564 7688 8540 8680 9332 9455 9610 9760 10248 10416 11346 11532 11665 12810 13020 13237 13454 13664 13998 14415 14640 14880 15128 15376 16331 17080 17360 18664 18910 19220 20181 20496 20832 22692 23064 23330 25620 26040 26474 26908 27996 28365 28830 29280 30256 30752 32662 33635 34160 34720 34995 37328 37820 38440 39711 40362 40992 45384 46128 46660 48993 51240 52080 52948 53816 55992 56730 57660 58621 60512 65324 66185 67270 68320 69990 72323 74656 75640 76880 79422 80724 81655 90768 92256 93320 97986 100905 102480 104160 105896 106129 107632 111984 113460 115320 117242 130648 132370 134540 139980 142313 144646 151280 153760 158844 161448 163310 175863 181536 186640 195972 198555 201810 204960 211792 212258 215264 216969 223968 226920 230640 234484 244965 261296 264740 269080 279960 284626 289292 293105 302560 317688 318387 322896 326620 351726 361615 373280 391944 397110 403620 410347 423584 424516 426939 433938 453840 461280 468968 489930 506261 522592 529480 530645 538160 559920 569252 578584 586210 635376 636774 645792 653240 703452 711565 723230 742903 783888 794220 807240 820694 849032 853878 867876 879315 907680 937936 979860 996191 1012522 1058960 1061290 1076320 1084845 1119840 1138504 1157168 1172420 1231041 1270752 1273548 1306480 1406904 1423130 1446460 1485806 1518783 1567776 1588440 1591935 1614480 1641388 1698064 1707756 1735752 1758630 1875872 1959720 1992382 2025044 2051735 2117920 2122580 2134695 2169690 2228709 2242013 2277008 2314336 2344840 2462082 2531305 2547096 2612960 2813808 2846260 2892920 2971612 2988573 3037566 3176880 3183870 3228960 3282776 3289999 3396128 3415512 3471504 3517260 3714515 3919440 3984764 4050088 4103470 4245160 4269390 4339380 4411703 4457418 4484026 4554016 4689680 4924164 4980955 5062610 5094192 5627616 5692520 5785840 5943224 5977146 6075132 6155205 6353760 6367740 6473869 6565552 6579998 6726039 6831024 6943008 7034520 7429030 7593915 7838880 7969528 8100176 8206940 8490320 8538780 8678760 8823406 8914836 8968052 9379360 9848328 9869997 9961910 10125220 10188384 11143545 11210065 11385040 11571680 11886448 11954292 12150264 12310410 12735480 12947738 13131104 13159996 13235109 13452078 13662048 14069040 14858060 14942865 15187830 15694091 15939056 16200352 16413880 16449995 16980640 17077560 17357520 17646812 17829672 17936104 19421607 19696656 19739994 19923820 20250440 22058515 22287090 22420130 22770080 23029993 23772896 23908584 24300528 24620820 25470960 25895476 26319992 26470218 26904156 28138080 29716120 29885730 30375660 30881921 31388182 31878112 32369345 32827760 32899990 33630195 34155120 34715040 35293624 35659344 35872208 38843214 39393312 39479988 39847640 40500880 44117030 44574180 44840260 45317083 46059986 47082273 47817168 48601056 49241640 49349985 50941920 51790952 52639984 52940436 53808312 59432240 59771460 60751320 61763842 62776364 64738690 65655520 65799980 66175545 67260390 68310240 69089979 70587248 71318688 71744416 77686428 78470455 78959976 79695280 81001760 88234060 89148360 89680520 90634166 92119972 92645763 94164546 95634336 97108035 98483280 98699970 101989969 103581904 105279968 105880872 107616624 115149965 118864480 119542920 121502640 123527684 125552728 129477380 131599960 132351090 134520780 135951249 136762793 138179958 141174496 154409605 155372856 156940910 157919952 159390560 176468120 178296720 179361040 181268332 184239944 185291526 188329092 194216070 196966560 197399940 200689939 203979938 207163808 211761744 215233248 226585415 230299930 235411365 239085840 243005280 247055368 247598957 251105456 258954760 263199920 264702180 269041560 271902498 273525586 276359916 305969907 308819210 310745712 313881820 315839904 345449895 352936240 356593440 358722080 362536664 368479888 370583052 376658184 388432140 394799880 401379878 407959876 410288379 423523488 453170830 460599860 463228815 470822730 478171680 494110736 495197914 502210912 509949845 517909520 526399840 529404360 538083120 543804996 547051172 552719832 602069817 611939814 617638420 621491424 627763640 679756245 683813965 690899790 705872480 713929783 725073328 736959776 741166104 742796871 753316368 776864280 789599760 802759756 815919752 820576758 906341660 921199720 926457630 941645460 957339551 988221472 990395828 1003449695 1019899690 1035819040 1058808720 1076166240 1087609992 1094102344 1105439664 1204139634 1223879628 1235276840 1237994785 1255527280 1359512490 1367627930 1381799580 1404829573 1427859566 1450146656 1482332208 1485593742 1506632736 1529849535 1553728560 1579199520 1605519512 1631839504 1641153516 1733192699 1812683320 1842399440 1852915260 1883290920 1914679102 1980791656 2006899390 2039799380 2051441895 2117617440 2141789349 2175219984 2188204688 2210879328 2408279268 2447759256 2470553680 2475989570 2511054560 2719024980 2735255860 2763599160 2809659146 2855719132 2872018653 2964664416 2971187484 3010349085 3059699070 3107457120 3211039024 3263679008 3282307032 3466385398 3569648915 3625366640 3684798880 3705830520 3713984355 3766581840 3829358204 3961583312 4013798780 4079598760 4102883790 4214488719 4283578698 4350439968 4376409376 4786697755 4816558536 4895518512 4941107360 4951979140 5199578097 5438049960 5470511720 5527198320 5619318292 5711438264 5744037306 5942374968 6020698170 6119398140 6221388109 6422078048 6564614064 6932770796 7024147865 7139297830 7250733280 7411661040 7427968710 7533163680 7658716408 7675567667 7923166624 8027597560 8159197520 8205767580 8428977438 8567157396 8665963495 9573395510 9633117072 9791037024 9903958280 10399156194 10708946745 10876099920 10941023440 11054396640 11238636584 11422876528 11488074612 11884749936 12041396340 12238796280 12442776218 13129228128 13865541592 14048295730 14278595660 14360093265 14823322080 14855937420 15103536377 15317432816 15351135334 16055195120 16318395040 16411535160 16857954876 17134314792 17331926990 18664164327 19146791020 19266234144 19807916560 20798312388 21072443595 21417893490 21752199840 21882046880 22477273168 22845753056 22976149224 23026703001 23769499872 24082792680 24477592560 24885552436 25997890485 27731083184 28096591460 28557191320 28720186530 29711874840 30207072754 30634865632 30702270668 31106940545 32110390240 32823070320 33715909752 34268629584 34663853980 37328328654 38293582040 38377838335 39615833120 41596624776 42144887190 42835786980 43549716763 44954546336 45310609131 45952298448 46053406002 48165585360 48955185120 49771104872 51995780970 53728973669 55462166368 56193182920 57114382640 57440373060 59423749680 60414145508 61404541336 62213881090 65646140640 67431819504 68537259168 69327707960 74656657308 75517681885 76587164080 76755676670 83193249552 84289774380 85671573960 87099433526 90621218262 91904596896 92106812004 93320821635 96331170720 99542209744 103991561940 105724754639 107457947338 112386365840 114228765280 114880746120 115133515005 118847499360 120828291016 122809082672 124427762180 130649150289 134863639008 138655415920 149313314616 151035363770 153174328160 153511353340 161186921007 166386499104 168579548760 171343147920 174198867052 181242436524 184213624008 186641643270 199084419488 207983123880 211449509278 214915894676 217748583815 224772731680 226553045655 229761492240 230267030010 237942597677 241656582032 245618165344 248855524360 261298300578 268644868345 277310831840 298626629232 302070727540 307022706680 317174263917 322373842014 337159097520 342686295840 348397734104 362484873048 368427248016 373283286540 415966247760 422899018556 429831789352 435497167630 453106091310 459522984480 460534060020 468209627687 475885195354 483313164064 497711048720 522596601156 528623773195 537289736690 597253258464 604141455080 614045413360 634348527834 644747684028 653245751445 674318195040 696795468208 713827793031 724969746096 736854496032 746566573080 805934605035 831932495520 845798037112 859663578704 870994335260 906212182620 921068120040 936419255374 951770390708 995422097440 1045193202312 1057247546390 1074579473380 1189712988385 1208282910160 1228090826720 1268697055668 1289495368056 1306491502890 1393590936416 1404628883061 1427655586062 1449939492192 1493133146160 1585871319585 1611869210070 1665598183739 1691596074224 1719327157408 1741988670520 1812424365240 1842136240080 1872838510748 1903540781416 2090386404624 2114495092780 2149158946760 2341048138435 2379425976770 2416565820320 2537394111336 2578990736112 2612983005780 2809257766122 2855311172124 2986266292320 3171742639170 3223738420140 3277467393809 3331196367478 3383192148448 3483977341040 3569138965155 3624848730480 3684272480160 3745677021496 3807081562832 4180772809248 4228990185560 4298317893520 4682096276870 4758851953540 4996794551217 5074788222672 5157981472224 5225966011560 5618515532244 5710622344248 6343485278340 6447476840280 6554934787618 6662392734956 6967954682080 7023144415305 7138277930310 7249697460960 7491354042992 7614163125664 8327990918695 8457980371120 8596635787040 9364192553740 9517703907080 9832402181427 9993589102434 10149576445344 10451932023120 11237031064488 11421244688496 12686970556680 12894953680560 13109869575236 13324785469912 14046288830610 14276555860620 14514498458297 14982708085984 16387336969045 16655981837390 16915960742240 18728385107480 19035407814160 19664804362854 19987178204868 20903864046240 22474062128976 22842489376992 24983972756085 25373941113360 25789907361120 26219739150472 26649570939824 28092577661220 28553111721240 29028996916594 32774673938090 33311963674780 37456770214960 38070815628320 39329608725708 39974356409736 43543495374891 44948124257952 49162010907135 49967945512170 50747882226720 52439478300944 53299141879648 56185155322440 57106223442480 58057993833188 65549347876180 66623927349560 72572492291485 74913540429920 78659217451416 79948712819472 87086990749782 98324021814270 99935891024340 101601489208079 104878956601888 112370310644880 114212446884960 116115987666376 131098695752360 133247854699120 145144984582970 157318434902832 159897425638944 174173981499564 196648043628540 199871782048680 203202978416158 217717476874455 224740621289760 232231975332752 262197391504720 266495709398240 290289969165940 304804467624237 314636869805664 348347962999128 393296087257080 399743564097360 406405956832316 435434953748910 464463950665504 508007446040395 524394783009440 580579938331880 609608935248474 696695925998256 786592174514160 799487128194720 812811913664632 870869907497820 1016014892080790 1161159876663760 1219217870496948 1393391851996512 1524022338121185 1573184349028320 1625623827329264 1741739814995640 2032029784161580 2322319753327520 2438435740993896 3048044676242370 3251247654658528 3483479629991280 4064059568323160 4876871481987792 6096089352484740 6966959259982560 8128119136646320 9753742963975584 12192178704969480 16256238273292640 24384357409938960 48768714819877920
- Sum of all divisors σ(n): 184468294318533120
- Sum of proper divisors (its aliquot sum) s(n): 135699579498655200
- 48768714819877920 is an abundant number, because the sum of its proper divisors (135699579498655200) is greater than itself. Its abundance is 86930864678777280
Bases of 48768714819877920
- Binary: 101011010100001011100011010000101111110110111100001000002
- Hexadecimal: 0xAD42E342FDBC20
- Base-36: DC72EAOUPEO
Squares and roots of 48768714819877920
- 48768714819877920 squared (487687148198779202) is 2378387545182580262989563703526400
- 48768714819877920 cubed (487687148198779203) is 115990903922158768125982743494996264004321497088000
-
The
square root of 48768714819877920 is 220836398.3130451257 -
The
cube root of 48768714819877920 is 365353.9191023607
Scales and comparisons
How big is 48768714819877920?- 48,768,714,819,877,920 seconds is equal to 1,550,694,279 years, 38 weeks, 15 hours, 52 minutes.
-
To count from 1 to 48,768,714,819,877,920 would take you about four billion, six hundred fifty-two million, eighty-two thousand, eight hundred thirty-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 48768714819877920 cubic inches would be around 30446.2 feet tall.
Recreational maths with 48768714819877920
- 48768714819877920 backwards is 02977891841786784
- 48768714819877920 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48768714819877920's digits is 96
- More coming soon!
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"Number 48768714819877920 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 48768714819877920 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/48768714819877920/
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The information we have on file for 48768714819877920 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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