48138521877536688
48,138,521,877,536,688 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48138521877536688 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
48138521877536688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 48138521877536688:
24 × 34 × 132 × 67 × 97 × 1093 × 30941
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 67 × 97 × 1093 × 30941)See below for interesting mathematical facts about the number 48138521877536688 from the Numbermatics database.
Names of 48138521877536688
- Cardinal: 48138521877536688 can be written as Forty-eight quadrillion, one hundred thirty-eight trillion, five hundred twenty-one billion, eight hundred seventy-seven million, five hundred thirty-six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.8138521877536688 × 1016
Factors of 48138521877536688
Divisors of 48138521877536688
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 81 97 104 108 117 134 144 156 162 169 194 201 208 216 234 268 291 312 324 338 351 388 402 432 468 507 536 582 603 624 648 676 702 776 804 871 873 936 1014 1053 1072 1093 1164 1206 1261 1296 1352 1404 1521 1552 1608 1742 1746 1809 1872 2028 2106 2186 2328 2412 2522 2613 2619 2704 2808 3042 3216 3279 3484 3492 3618 3783 4056 4212 4372 4563 4656 4824 5044 5226 5238 5427 5616 6084 6499 6558 6968 6984 7236 7566 7839 7857 8112 8424 8744 9126 9648 9837 10088 10452 10476 10854 11323 11349 12168 12998 13116 13689 13936 13968 14209 14472 15132 15678 15714 16393 16848 17488 18252 19497 19674 20176 20904 20952 21708 22646 22698 23517 24336 25996 26232 27378 28418 28944 29511 30264 30941 31356 31428 32786 33969 34047 36504 38994 39348 41808 41904 42627 43416 45292 45396 47034 49179 51992 52464 54756 56836 58491 59022 60528 61882 62712 62856 65572 67938 68094 70551 73008 73231 77988 78696 84487 85254 86832 88533 90584 90792 92823 94068 98358 101907 102141 103984 106021 109512 113672 116982 118044 123764 125424 125712 127881 131144 135876 136188 141102 146462 147537 155976 157392 168974 170508 175473 177066 181168 181584 184717 185646 188136 196716 203814 204282 212042 219024 219693 227344 233964 236088 247528 253461 255762 262288 271752 272376 278469 282204 292924 295074 305721 311952 318063 337948 341016 350946 354132 369434 371292 376272 383643 393432 402233 407628 408564 424084 439386 442611 467928 472176 495056 506922 511524 526419 543504 544752 554151 556938 564408 585848 590148 611442 636126 659079 675896 682032 701892 708264 738868 742584 760383 767286 786864 804466 815256 817128 835407 848168 878772 885222 917163 935856 952003 954189 1013844 1023048 1052838 1098331 1108302 1113876 1128816 1150929 1171696 1180296 1206699 1222884 1272252 1318158 1327833 1351792 1378273 1403784 1416528 1477736 1485168 1520766 1534572 1608932 1630512 1634256 1662453 1670814 1696336 1757544 1770444 1834326 1904006 1908378 1977237 2027688 2046096 2073047 2105676 2196662 2216604 2227752 2281149 2301858 2360592 2413398 2445768 2506221 2544504 2636316 2655666 2756546 2807568 2856009 2862567 2955472 3001277 3041532 3069144 3217864 3294993 3324906 3341628 3515088 3540888 3620097 3668652 3808012 3816756 3954474 4055376 4134819 4146094 4211352 4393324 4433208 4455504 4562298 4603716 4826796 4891536 4987359 5012442 5089008 5229029 5272632 5311332 5513092 5712018 5725134 5931711 6002554 6083064 6138288 6219141 6435728 6589986 6649812 6683256 6843447 7081776 7103407 7240194 7337304 7616024 7633512 7908948 8269638 8292188 8422704 8568027 8587701 8786648 8866416 9003831 9124596 9207432 9653592 9884979 9974718 10024884 10458058 10545264 10622664 10860291 11026184 11424036 11450268 11863422 12005108 12166128 12376039 12404457 12438282 13179972 13299624 13366512 13686894 14206814 14480388 14674608 14962077 15232048 15267024 15687087 15817896 16539276 16584376 17136054 17175402 17573296 17917549 18007662 18249192 18414864 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702298818 711718488 727639497 738754328 752980176 767167956 804342236 811644312 831098619 847102698 860042352 879281338 891074808 893120904 895556304 913099851 936398424 967547646 970185996 972413748 1002459159 1014431626 1022890608 1051034829 1053448227 1108131492 1129470264 1150751934 1200475783 1206513354 1217466468 1233795888 1290063528 1293581328 1296551664 1318922007 1336612212 1343334456 1401379772 1404597636 1423436976 1451321469 1455278994 1477508656 1521647439 1534335912 1608684472 1623288624 1662197238 1694205396 1758562676 1782149616 1786241808 1809770031 1826199702 1872796848 1935095292 1940371992 1944827496 2004918318 2028863252 2102069658 2106896454 2182918491 2216262984 2258940528 2265840371 2301503868 2400951566 2413026708 2434932936 2493295857 2580127056 2614112267 2637844014 2673224424 2686668912 2739299553 2802759544 2809195272 2902642938 2910557988 3043294878 3068671824 3153104487 3160344681 3217368944 3280395761 3324394476 3388410792 3517125352 3601427349 3619540062 3652399404 3870190584 3880743984 3889654992 3956766021 4009836636 4057726504 4204139316 4213792908 4365836982 4432525968 4531680742 4564942317 4603007736 4801903132 4826053416 4869865872 4986591714 5228224534 5275688028 5346448848 5429310093 5478599106 5605519088 5618390544 5715328697 5805285876 5821115976 6086589756 6306208974 6320689362 6560791522 6648788952 6776821584 6797521113 7034250704 7202854698 7239080124 7304798808 7479887571 7740381168 7842336801 7913532042 8019673272 8115453008 8408278632 8427585816 8731673964 9063361484 9129884634 9206015472 9459313461 9603806264 9652106832 9841187283 9973183428 10456449068 10551376056 10804282047 10858620186 10957198212 11430657394 11610571752 11642231952 11870298063 12173179512 12612417948 12641378724 13121583044 13297577904 13595042226 13694826951 14405709396 14478160248 14609597616 14959775142 15684673602 15827064084 16039346544 16287930279 16816557264 16855171632 17145986091 17463347928 18126722968 18259769268 18918626922 19207612528 19682374566 19946366856 20392563339 20912898136 21102752112 21608564094 21717240372 21914396424 22861314788 23221143504 23527010403 23740596126 24346359024 25224835896 25282757448 26243166088 27190084452 27389653902 28377940383 28811418792 28956320496 29455924823 29523561849 29919550284 31369347204 31654128168 32412846141 32575860558 33983459471 34291972182 34926695856 35610894189 36253445936 36519538536 37837253844 39364749132 39892733712 40785126678 41084480853 41825796272 42645144893 43217128188 43434480744 43828792848 45722629576 47054020806 47481192252 50449671792 50565514896 51437958273 52486332176 54380168904 54779307804 56755880766 57622837584 58911849646 59047123698 59839100568 61177690017 62738694408 63308256336 64825692282 65151721116 67966918942 68583944364 70581031209 71221788378 73039077072 75674507688 78729498264 81570253356 82168961706 85290289786 86434256376 86868961488 88367774469 88570685547 91445259152 94108041612 94962384504 97238538423 101950378413 102875916546 108760337808 109558615608 113511761532 117823699292 118094247396 119678201136 122355380034 125477388816 127935434679 129651384564 130303442232 135933837884 137167888728 141162062418 142443576756 151349015376 154313874819 157458996528 163140506712 164337923412 170580579572 172868512752 176735548938 177141371094 183533070051 188216083224 189924769008 194477076846 203900756826 205751833092 211743093627 219117231216 219786515987 227023523064 235647398584 236188494792 244710760068 255870869358 259302769128 260606884464 265103323407 265712056641 271867675768 274335777456 282324124836 284887153512 305851135239 308627749638 326281013424 328675846824 341161159144 353471097876 354282742188 367066140102 376432166448 382927022699 383806304037 388954153692 407801513652 411503666184 423486187254 439573031974 454047046128 462941624457 471294797168 472376989584 489421520136 511741738716 518605538256 530206646814 531424113282 543735351536 554386883609 564648249672 569774307024 611702270478 617255499276 657351693648 659359547961 682322318288 706942195752 708565484376 734132280204 765854045398 767612608074 777908307384 795309970221 815603027304 823007332368 846972374508 879146063948 917553405717 925883248914 978843040272 1023483477432 1060413293628 1062848226564 1108773767218 1129296499344 1148781068097 1151418912111 1223404540956 1234510998552 1318719095922 1413884391504 1417130968752 1468264560408 1531708090796 1535225216148 1555816614768 1590619940442 1631206054608 1663160650827 1693944749016 1758292127896 1835106811434 1851766497828 1978078643883 2046966954864 2120826587256 2125696453128 2217547534436 2297562136194 2302837824222 2385929910663 2446809081912 2469021997104 2637438191844 2752660217151 2857224707831 2936529120816 3063416181592 3070450432296 3181239880884 3326321301654 3387889498032 3446343204291 3454256736333 3516584255792 3670213622868 3703532995656 3956157287766 4241653174512 4251392906256 4435095068872 4595124272388 4605675648444 4771859821326 4893618163824 4989481952481 5274876383688 5505320434302 5714449415662 5934235931649 6126832363184 6140900864592 6362479761768 6652642603308 6892686408582 6908513472666 7340427245736 7407065991312 7912314575532 8571674123493 8870190137744 9190248544776 9211351296888 9543719642652 9978963904962 10339029612873 10549752767376 11010640868604 11428898831324 11868471863298 12724959523536 13305285206616 13785372817164 13817026945332 14680854491472 14968445857443 15824629151064 17143348246986 17802707794947 18380497089552 18422702593776 19087439285304 19957927809924 20678059225746 22021281737208 22857797662648 23736943726596 25715022370479 26610570413232 27570745634328 27634053890664 29936891714886 31017088838619 31649258302128 34286696493972 35605415589894 37143921201803 38174878570608 39915855619848 41356118451492 44042563474416 44905337572329 45715595325296 47473887453192 51430044740958 55141491268656 55268107781328 59873783429772 62034177677238 68573392987944 71210831179788 74287842403606 77145067111437 79831711239696 82712236902984 89810675144658 94947774906384 102860089481916 111431763605409 119747566859544 124068355354476 137146785975888 142421662359576 148575684807212 154290134222874 165424473805968 179621350289316 205720178963832 222863527210818 231435201334311 239495133719088 248136710708952 284843324719152 297151369614424 308580268445748 334295290816227 359242700578632 411440357927664 445727054421636 462870402668622 496273421417904 594302739228848 617160536891496 668590581632454 718485401157264 891454108843272 925740805337244 1002885872448681 1234321073782992 1337181163264908 1782908217686544 1851481610674488 2005771744897362 2674362326529816 3008657617346043 3702963221348976 4011543489794724 5348724653059632 6017315234692086 8023086979589448 12034630469384172 16046173959178896 24069260938768344 48138521877536688
- Sum of all divisors σ(n): 154845591746652576
- Sum of proper divisors (its aliquot sum) s(n): 106707069869115888
- 48138521877536688 is an abundant number, because the sum of its proper divisors (106707069869115888) is greater than itself. Its abundance is 58568547991579200
Bases of 48138521877536688
- Binary: 101010110000010110111011000010001000010111011111101100002
- Hexadecimal: 0xAB05BB0885DFB0
- Base-36: D5ZOJNM2Z00
Squares and roots of 48138521877536688
- 48138521877536688 squared (481385218775366882) is 2317317288554078337187534786009344
- 48138521877536688 cubed (481385218775366883) is 111552228992254498113233437142637823339652470812672
-
The
square root of 48138521877536688 is 219404926.7394346549 -
The
cube root of 48138521877536688 is 363773.3813559457
Scales and comparisons
How big is 48138521877536688?- 48,138,521,877,536,688 seconds is equal to 1,530,656,093 years, 25 weeks, 1 hour, 4 minutes, 48 seconds.
-
To count from 1 to 48,138,521,877,536,688 would take you about four billion, five hundred ninety-one million, nine hundred sixty-eight thousand, two hundred eighty 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 48138521877536688 cubic inches would be around 30314.4 feet tall.
Recreational maths with 48138521877536688
- 48138521877536688 backwards is 88663577812583184
- The number of decimal digits it has is: 17
- The sum of 48138521877536688's digits is 90
- More coming soon!
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"Number 48138521877536688 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 48138521877536688 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/48138521877536688/
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The information we have on file for 48138521877536688 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 48138521877536688, math, Factors of 48138521877536688, curriculum, school, college, exams, university, Prime factorization of 48138521877536688, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred thirty-eight trillion, five hundred twenty-one billion, eight hundred seventy-seven million, five hundred thirty-six thousand, six hundred eighty-eight.