48672807144798528

Names of 48672807144798528

• Cardinal: 48672807144798528 can be written as Forty-eight quadrillion, six hundred seventy-two trillion, eight hundred seven billion, one hundred forty-four million, seven hundred ninety-eight thousand, five hundred twenty-eight.

Scientific notation

• Scientific notation: 4.8672807144798528 × 10¹⁶

Factors of 48672807144798528

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1160

Divisors of 48672807144798528

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 241 288 296 324 333 432 444 482 576 592 648 666 723 864 877 888 964 999 1184 1296 1332 1369 1446 1728 1754 1776 1928 1998 2169 2368 2592 2631 2664 2738 2892 2997 3508 3552 3856 3996 4107 4338 5184 5262 5328 5476 5784 5994 6507 7016 7104 7712 7893 7992 8214 8676 8917 10524 10656 10952 11568 11988 12321 13014 14032 15424 15786 15984 16428 17352 17834 19521 21048 21312 21904 23136 23679 23976 24642 26028 26751 28064 31572 31968 32449 32856 34704 35668 36963 39042 42096 43808 46272 47358 47952 49284 50653 52056 53502 56128 63144 63936 64898 65712 69408 71037 71336 73926 78084 80253 84192 87616 94716 95904 97347 98568 101306 104112 107004 110889 126288 129796 131424 138816 142074 142672 147852 151959 156168 160506 168384 189432 191808 194694 197136 202612 208224 211357 214008 221778 240759 252576 259592 262848 284148 285344 292041 295704 303918 312336 321012 329929 378864 389388 394272 405224 416448 422714 428016 443556 455877 481518 505152 519184 568296 570688 584082 591408 607836 624672 634071 642024 659858 722277 757728 769129 778776 788544 810448 845428 856032 876123 887112 911754 963036 989787 1038368 1136592 1168164 1182816 1200613 1215672 1249344 1268142 1284048 1319716 1367631 1444554 1515456 1538258 1557552 1620896 1690856 1712064 1752246 1774224 1823508 1902213 1926072 1979574 2076736 2273184 2307387 2336328 2365632 2401226 2431344 2536284 2568096 2628369 2639432 2735262 2889108 2969361 3076516 3115104 3241792 3381712 3504492 3548448 3601839 3647016 3804426 3852144 3959148 4102893 4546368 4614774 4672656 4802452 4862688 5072568 5136192 5256738 5278864 5470524 5706639 5778216 5938722 6153032 6230208 6763424 6922161 7008984 7096896 7203678 7294032 7608852 7704288 7820209 7918296 8205786 8908083 9229548 9345312 9604904 9725376 10145136 10513476 10557728 10805517 10941048 11413278 11556432 11877444 12207373 12306064 13526848 13844322 14017968 14407356 14588064 15217704 15408576 15640418 15836592 16411572 17119917 17816166 18459096 18690624 19209808 20290272 20766483 21026952 21115456 21611034 21882096 22826556 23112864 23460627 23754888 24414746 24612128 26724249 27688644 28035936 28457773 28814712 29176128 30435408 31280836 31673184 32416551 32823144 34239834 35632332 36622119 36918192 38419616 40580544 41532966 42053904 43222068 43764192 44422681 45653112 46225728 46921254 47509776 48829492 49224256 53448498 55377288 56071872 56915546 57629424 60870816 62299449 62561672 63346368 64833102 65646288 68479668 70381881 71264664 73244238 73836384 76839232 83065932 84107808 85373319 86444136 87528384 88845362 91306224 93842508 95019552 97249653 97658984 106896996 109866357 110754576 113831092 115258848 121741632 124598898 125123344 129666204 131292576 133268043 136959336 140763762 142529328 146488476 147672768 166131864 168215616 170746638 172888272 177690724 182612448 185360089 187685016 190039104 194499306 195317968 211145643 213793992 219732714 221509152 227662184 230517696 249197796 250246688 256119957 259332408 262585152 266536086 273918672 281527524 285058656 289347733 292976952 329599071 332263728 341493276 345776544 355381448 365224896 370720178 375370032 388998612 390635936 399804129 422291286 427587984 439465428 443018304 455324368 498395592 500493376 512239914 518664816 533072172 547837344 556080267 563055048 570117312 578695466 585953904 633436929 659198142 664527456 682986552 691553088 710762896 741440356 750740064 768359871 777997224 781271872 799608258 844582572 855175968 868043199 878930856 910648736 988797213 996791184 1024479828 1037329632 1052937601 1066144344 1095674688 1112160534 1126110096 1157390932 1171907808 1199412387 1266873858 1318396284 1329054912 1365973104 1421525792 1482880712 1501480128 1536719742 1555994448 1599216516 1668240801 1689165144 1710351936 1736086398 1757861712 1821297472 1977594426 1993582368 2048959656 2074659264 2105875202 2132288688 2224321068 2252220192 2305079613 2314781864 2343815616 2398824774 2533747716 2604129597 2636792568 2731946208 2843051584 2965761424 3073439484 3111988896 3158812803 3198433032 3336481602 3378330288 3472172796 3515723424 3598237161 3955188852 3987164736 4097919312 4211750404 4264577376 4448642136 4504440384 4610159226 4629563728 4797649548 5004722403 5067495432 5208259194 5273585136 5463892416 5931522848 6146878968 6223977792 6317625606 6396866064 6672963204 6756660576 6858323293 6944345592 7031446848 7196474322 7812388791 7910377704 8195838624 8423500808 8529154752 8897284272 9220318452 9259127456 9476438409 9595299096 10009444806 10134990864 10416518388 10547170272 10705866121 11863045696 12293757936 12635251212 12793732128 13345926408 13513321152 13716646586 13888691184 14392948644 15014167209 15624777582 15820755408 16391677248 16847001616 17794568544 18440636904 18518254912 18952876818 19190598192 20018889612 20269981728 20574969879 20833036776 21094340544 21411732242 23437166373 24587515872 25270502424 25587464256 26691852816 27433293172 27777382368 28429315227 28785897288 30028334418 31249555164 31641510816 32117598363 33694003232 35589137088 36881273808 37905753636 38381196384 38958691237 40037779224 40539963456 41149939758 41666073552 42823464484 46874332746 49175031744 50541004848 53383705632 54866586344 55554764736 56858630454 57571794576 60056668836 61724909637 62499110328 63283021632 64235196726 67388006464 73762547616 75811507272 76762392768 77917382474 80075558448 82299879516 83332147104 85287945681 85646928968 93748665492 96352795089 101082009696 106767411264 109733172688 113717260908 115143589152 116876073711 120113337672 123449819274 124998220656 128470393452 147525095232 151623014544 155834764948 160151116896 164599759032 166664294208 170575891362 171293857936 185174728911 187497330984 192705590178 202164019392 219466345376 227434521816 230287178304 233752147422 240226675344 246899638548 249996441312 253757961841 256940786904 289058385267 303246029088 311669529896 320302233792 329199518064 341151782724 342587715872 350628221133 370349457822 374994661968 385411180356 438932690752 454869043632 467504294844 480453350688 493799277096 499992882624 507515923682 513881573808 555524186733 578116770534 606492058176 623339059792 658399036128 682303565448 685175431744 701256442266 740698915644 749989323936 761273885523 770822360712 867175155801 909738087264 935008589688 960906701376 987598554192 1015031847364 1027763147616 1051884663399 1111048373466 1156233541068 1246678119584 1316798072256 1364607130896 1402512884532 1481397831288 1499978647872 1522547771046 1541644721424 1734350311602 1819476174528 1870017179376 1975197108384 2030063694728 2055526295232 2103769326798 2222096746932 2283821656569 2312467082136 2493356239168 2729214261792 2805025769064 2962795662576 3045095542092 3083289442848 3155653990197 3468700623204 3740034358752 3950394216768 4060127389456 4207538653596 4444193493864 4567643313138 4624934164272 5458428523584 5610051538128 5925591325152 6090191084184 6166578885696 6311307980394 6851464969707 6937401246408 7480068717504 8120254778912 8415077307192 8888386987728 9135286626276 9249868328544 9389044588117 11220103076256 11851182650304 12180382168368 12622615960788 13702929939414 13874802492816 16240509557824 16830154614384 17776773975456 18270573252552 18499736657088 18778089176234 20554394909121 22440206152512 24360764336736 25245231921576 27405859878828 27749604985632 28167133764351 33660309228768 35553547950912 36541146505104 37556178352468 41108789818242 48721528673472 50490463843152 54811719757656 55499209971264 56334267528702 67320618457536 73082293010208 75112356704936 82217579636484 84501401293053 100980927686304 109623439515312 112668535057404 146164586020416 150224713409872 164435159272968 169002802586106 201961855372608 219246879030624 225337070114808 253504203879159 300449426819744 328870318545936 338005605172212 438493758061248 450674140229616 507008407758318 600898853639488 657740637091872 676011210344424 760512611637477 901348280459232 1014016815516636 1315481274183744 1352022420688848 1521025223274954 1802696560918464 2028033631033272 2704044841377696 3042050446549908 4056067262066544 5408089682755392 6084100893099816 8112134524133088 12168201786199632 16224269048266176 24336403572399264 48672807144798528
• Sum of all divisors σ(n): 149074476976997880
• Sum of proper divisors (its aliquot sum) s(n): 100401669832199352
• 48672807144798528 is an abundant number, because the sum of its proper divisors (100401669832199352) is greater than itself. Its abundance is 51728862687400824

Bases of 48672807144798528

• Binary: 10101100111010111010100100000100000101100011100101000000₂
• Hexadecimal: 0xACEBA904163940
• Base-36: DB92IX3DG00

Squares and roots of 48672807144798528

• 48672807144798528 squared (48672807144798528²) is 2369042155354750635422805710966784
• 48672807144798528 cubed (48672807144798528³) is 115307931945479611076376795584670985620671780093952
• The square root of 48672807144798528 is 220619145.0096716515
• The cube root of 48672807144798528 is 365114.2624559619

Scales and comparisons

• 48,672,807,144,798,528 seconds is equal to 1,547,644,712 years, 17 weeks, 28 minutes, 48 seconds.
• To count from 1 to 48,672,807,144,798,528 would take you about four billion, six hundred forty-two million, nine hundred thirty-four thousand, one hundred thirty-six 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 48672807144798528 cubic inches would be around 30426.2 feet tall.

Recreational maths with 48672807144798528

• 48672807144798528 backwards is 82589744170827684
• The number of decimal digits it has is: 17
• The sum of 48672807144798528's digits is 90
• More coming soon!