47680830550441984
47,680,830,550,441,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 47680830550441984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
47680830550441984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 47680830550441984:
217 × 72 × 292 × 1092 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 29 × 29 × 109 × 109 × 743)See below for interesting mathematical facts about the number 47680830550441984 from the Numbermatics database.
Names of 47680830550441984
- Cardinal: 47680830550441984 can be written as Forty-seven quadrillion, six hundred eighty trillion, eight hundred thirty billion, five hundred fifty million, four hundred forty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.7680830550441984 × 1016
Factors of 47680830550441984
Divisors of 47680830550441984
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 109 112 116 128 196 203 218 224 232 256 392 406 436 448 464 512 743 763 784 812 841 872 896 928 1024 1421 1486 1526 1568 1624 1682 1744 1792 1856 2048 2842 2972 3052 3136 3161 3248 3364 3488 3584 3712 4096 5201 5341 5684 5887 5944 6104 6272 6322 6496 6728 6976 7168 7424 8192 10402 10682 11368 11774 11881 11888 12208 12544 12644 12992 13456 13952 14336 14848 16384 20804 21364 21547 22127 22736 23548 23762 23776 24416 25088 25288 25984 26912 27904 28672 29696 32768 36407 41209 41608 42728 43094 44254 45472 47096 47524 47552 48832 50176 50576 51968 53824 55808 57344 59392 65536 72814 80987 82418 83167 83216 85456 86188 88508 90944 91669 94192 95048 95104 97664 100352 101152 103936 107648 111616 114688 118784 131072 145628 150829 154889 161974 164836 166334 166432 170912 172376 177016 181888 183338 188384 190096 190208 195328 200704 202304 207872 215296 223232 229376 237568 291256 301658 309778 323948 329672 332668 332864 341824 344549 344752 354032 363776 366676 376768 380192 380416 390656 401408 404608 415744 430592 446464 458752 475136 566909 582169 582512 603316 619556 624863 641683 647896 659344 665336 665728 683648 689098 689504 708064 727552 733352 753536 760384 760832 781312 802816 809216 831488 861184 892928 917504 950272 1055803 1133818 1164338 1165024 1206632 1239112 1249726 1283366 1295792 1318688 1330672 1331456 1367296 1378196 1379008 1416128 1455104 1466704 1507072 1520768 1521664 1562624 1605632 1618432 1662976 1722368 1785856 1900544 2111606 2267636 2328676 2330048 2348623 2411843 2413264 2478224 2499452 2566732 2591584 2637376 2661344 2662912 2734592 2756392 2758016 2832256 2910208 2933408 3014144 3041536 3043328 3125248 3211264 3236864 3325952 3444736 3571712 3801088 3968363 4223212 4374041 4491781 4535272 4657352 4660096 4697246 4823686 4826528 4956448 4998904 5133464 5183168 5274752 5322688 5325824 5469184 5512784 5516032 5664512 5820416 5866816 6028288 6083072 6086656 6250496 6422528 6473728 6651904 6889472 7143424 7936726 8446424 8748082 8827583 8983562 9070544 9314704 9320192 9394492 9647372 9653056 9912896 9991921 9997808 10266928 10366336 10549504 10645376 10651648 10938368 11025568 11032064 11329024 11640832 11733632 12056576 12166144 12173312 12500992 12947456 13303808 13778944 14286848 15873452 16440361 16882901 16892848 17496164 17655166 17967124 18141088 18629408 18640384 18788984 19294744 19306112 19825792 19983842 19995616 20533856 20732672 21099008 21290752 21303296 21876736 22051136 22064128 22658048 23281664 23467264 24113152 24332288 24346624 25001984 25894912 26607616 27557888 30618287 31746904 32880722 33765802 33785696 34992328 35310332 35934248 36282176 37258816 37280768 37577968 38589488 38612224 39651584 39967684 39991232 41067712 41465344 42198016 42581504 42606592 43753472 44102272 44128256 45316096 46563328 46934528 48226304 48664576 48693248 50003968 51789824 55115776 61236574 61793081 63493808 65761444 67531604 67571392 68110067 69943447 69984656 70620664 71868496 72564352 74517632 74561536 75155936 77178976 77224448 79303168 79935368 79982464 82135424 82930688 84396032 85163008 85213184 87506944 88204544 88256512 90632192 93126656 93869056 96452608 97329152 97386496 100007936 103579648 110231552 115082527 122473148 123586162 126987616 131522888 135063208 135142784 136220134 139886894 139969312 141241328 143736992 145128704 149035264 149123072 150311872 154357952 154448896 158606336 159870736 159964928 164270848 165861376 168792064 170326016 170426368 175013888 176409088 176513024 181264384 186253312 187738112 192905216 194658304 207159296 230165054 244946296 247172324 253975232 255999907 263045776 270126416 270285568 272440268 279773788 279938624 282482656 287473984 290257408 298070528 298246144 300623744 308715904 308897792 317212672 319741472 319929856 328541696 331722752 337584128 340652032 340852736 350027776 352818176 353026048 362528768 375476224 385810432 389316608 414318592 432551567 460330108 476770469 489604129 489892592 494344648 507950464 511999814 526091552 540252832 540571136 544880536 559547576 559877248 564965312 574947968 580514816 596141056 596492288 601247488 617431808 617795584 634425344 639482944 639859712 657083392 663445504 675168256 681304064 681705472 700055552 705636352 706052096 725057536 750952448 771620864 778633216 865103134 920660216 953540938 979208258 979785184 988689296 1015900928 1023999628 1052183104 1080505664 1081142272 1089761072 1119095152 1119754496 1129930624 1149895936 1161029632 1192282112 1192984576 1202494976 1234863616 1235591168 1268850688 1278965888 1279719424 1314166784 1326891008 1350336512 1362608128 1411272704 1412104192 1450115072 1501904896 1557266432 1730206268 1791999349 1841320432 1907081876 1958416516 1959570368 1977378592 2031801856 2047999256 2104366208 2161011328 2162284544 2179522144 2238190304 2239508992 2259861248 2299791872 2322059264 2384564224 2385969152 2404989952 2469727232 2471182336 2537701376 2557931776 2559438848 2628333568 2653782016 2700673024 2725216256 2822545408 2824208384 2900230144 3003809792 3337393283 3460412536 3583998698 3682640864 3814163752 3916833032 3919140736 3954757184 4063603712 4095998512 4208732416 4322022656 4324569088 4359044288 4476380608 4479017984 4519722496 4599583744 4644118528 4769128448 4771938304 4809979904 4939454464 4942364672 5075402752 5115863552 5118877696 5256667136 5307564032 5401346048 5450432512 5645090816 6007619584 6674786566 6920825072 7167997396 7365281728 7423997303 7628327504 7833666064 7838281472 7909514368 8127207424 8191997024 8417464832 8644045312 8649138176 8718088576 8952761216 8958035968 9039444992 9199167488 9288237056 9538256896 9619959808 9878908928 9884729344 10150805504 10231727104 10237755392 10513334272 10615128064 10900865024 11290181632 12015239168 12543995443 13349573132 13841650144 14335994792 14730563456 14847994606 15256655008 15667332128 15676562944 15819028736 16254414848 16383994048 16834929664 17288090624 17298276352 17436177152 17905522432 17916071936 18078889984 18398334976 18576474112 19076513792 19239919616 19757817856 19769458688 20301611008 20463454208 20475510784 21026668544 22580363264 25087990886 26699146264 27683300288 28671989584 29461126912 29695989212 30513310016 31334664256 31353125888 31638057472 32508829696 32767988096 33669859328 34576181248 34596552704 34872354304 35811044864 35832143872 36157779968 36796669952 37152948224 38153027584 38479839232 39515635712 40926908416 40951021568 42053337088 45160726528 50175981772 51967981121 53398292528 55366600576 57343979168 58922253824 59391978424 61026620032 62669328512 62706251776 63276114944 65017659392 65535976192 67339718656 69152362496 69193105408 69744708608 71622089728 71664287744 72315559936 73593339904 74305896448 76306055168 76959678464 79031271424 81853816832 81902043136 84106674176 100351963544 103935962242 106796585056 110733201152 114687958336 117844507648 118783956848 122053240064 125338657024 125412503552 126552229888 130035318784 131071952384 134679437312 138304724992 138386210816 139489417216 143244179456 143328575488 144631119872 147186679808 153919356928 158062542848 163707633664 200703927088 207871924484 213593170112 221466402304 229375916672 235689015296 237567913696 244106480128 250677314048 250825007104 253104459776 260070637568 262143904768 269358874624 276609449984 278978834432 286488358912 286657150976 289262239744 294373359616 307838713856 316125085696 327415267328 363775867847 401407854176 415743848968 427186340224 442932804608 458751833344 471378030592 475135827392 488212960256 501354628096 501650014208 506208919552 520141275136 524287809536 538717749248 553218899968 557957668864 572976717824 573314301952 578524479488 588746719232 654830534656 727551735694 802815708352 831487697936 854372680448 885865609216 917503666688 942756061184 950271654784 976425920512 1002709256192 1003300028416 1012417839104 1048575619072 1077435498496 1106437799936 1115915337728 1145953435648 1157048958976 1309661069312 1455103471388 1605631416704 1662975395872 1708745360896 1771731218432 1835007333376 1885512122368 1900543309568 1952851841024 2005418512384 2006600056832 2024835678208 2097151238144 2154870996992 2212875599872 2231830675456 2291906871296 2910206942776 3211262833408 3325950791744 3417490721792 3543462436864 3670014666752 3771024244736 3801086619136 3905703682048 4010837024768 4013200113664 4049671356416 4194302476288 4463661350912 4583813742592 5820413885552 6422525666816 6651901583488 6834981443584 7086924873728 7340029333504 7542048489472 7602173238272 7811407364096 8021674049536 8099342712832 8388604952576 8927322701824 9167627485184 11640827771104 12845051333632 13303803166976 13669962887168 14173849747456 14680058667008 15084096978944 15204346476544 15622814728192 16043348099072 16777209905152 23281655542208 25690102667264 26607606333952 27339925774336 28347699494912 29360117334016 30408692953088 31245629456384 32086696198144 33554419810304 46563311084416 51380205334528 53215212667904 54679851548672 56695398989824 58720234668032 60817385906176 62491258912768 64173392396288 93126622168832 102760410669056 106430425335808 109359703097344 117440469336064 121634771812352 186253244337664 205520821338112 212860850671616 218719406194688 234880938672128 243269543624704 372506488675328 411041642676224 425721701343232 437438812389376 486539087249408 745012977350656 822083285352448 851443402686464 973078174498816 1490025954701312 1644166570704896 1702886805372928 2980051909402624 3405773610745856 5960103818805248 6811547221491712 11920207637610496 23840415275220992 47680830550441984
- Sum of all divisors σ(n): 116107323663351384
- Sum of proper divisors (its aliquot sum) s(n): 68426493112909400
- 47680830550441984 is an abundant number, because the sum of its proper divisors (68426493112909400) is greater than itself. Its abundance is 20745662562467416
Bases of 47680830550441984
- Binary: 101010010110010101110110011101111000111000000000000000002
- Hexadecimal: 0xA96576778E0000
- Base-36: D1HFZ5V64N4
Squares and roots of 47680830550441984
- 47680830550441984 squared (476808305504419842) is 2273461601979961630919817749856256
- 47680830550441984 cubed (476808305504419843) is 108400537406942928672078982129258893921773267451904
-
The
square root of 47680830550441984 is 218359406.8283800407 -
The
cube root of 47680830550441984 is 362616.8135317617
Scales and comparisons
How big is 47680830550441984?- 47,680,830,550,441,984 seconds is equal to 1,516,102,925 years, 4 days, 4 hours, 33 minutes, 4 seconds.
-
To count from 1 to 47,680,830,550,441,984 would take you about four billion, five hundred forty-eight million, three hundred eight thousand, seven hundred seventy-five 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 47680830550441984 cubic inches would be around 30218.1 feet tall.
Recreational maths with 47680830550441984
- 47680830550441984 backwards is 48914405503808674
- The number of decimal digits it has is: 17
- The sum of 47680830550441984's digits is 76
- More coming soon!
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"Number 47680830550441984 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 47680830550441984 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/47680830550441984/
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The information we have on file for 47680830550441984 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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