3948794993442816
3,948,794,993,442,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 3948794993442816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
3948794993442816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 3948794993442816:
221 × 33 × 112 × 372 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 37 × 37 × 421)See below for interesting mathematical facts about the number 3948794993442816 from the Numbermatics database.
Names of 3948794993442816
- Cardinal: 3948794993442816 can be written as Three quadrillion, nine hundred forty-eight trillion, seven hundred ninety-four billion, nine hundred ninety-three million, four hundred forty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.948794993442816 × 1015
Factors of 3948794993442816
Divisors of 3948794993442816
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 37 44 48 54 64 66 72 74 88 96 99 108 111 121 128 132 144 148 176 192 198 216 222 242 256 264 288 296 297 333 352 363 384 396 407 421 432 444 484 512 528 576 592 594 666 704 726 768 792 814 842 864 888 968 999 1024 1056 1089 1152 1184 1188 1221 1263 1332 1369 1408 1452 1536 1584 1628 1684 1728 1776 1936 1998 2048 2112 2178 2304 2368 2376 2442 2526 2664 2738 2816 2904 3072 3168 3256 3267 3368 3456 3552 3663 3789 3872 3996 4096 4107 4224 4356 4477 4608 4631 4736 4752 4884 5052 5328 5476 5632 5808 6144 6336 6512 6534 6736 6912 7104 7326 7578 7744 7992 8192 8214 8448 8712 8954 9216 9262 9472 9504 9768 10104 10656 10952 10989 11264 11367 11616 12288 12321 12672 13024 13068 13431 13472 13824 13893 14208 14652 15059 15156 15488 15577 15984 16384 16428 16896 17424 17908 18432 18524 18944 19008 19536 20208 21312 21904 21978 22528 22734 23232 24576 24642 25344 26048 26136 26862 26944 27648 27786 28416 29304 30118 30312 30976 31154 31968 32768 32856 33792 34848 35816 36864 36963 37048 37888 38016 39072 40293 40416 41679 42624 43808 43956 45056 45177 45468 46464 46731 49152 49284 50688 50941 52096 52272 53724 53888 55296 55572 56832 58608 60236 60624 61952 62308 63936 65536 65712 67584 69696 71632 73728 73926 74096 75776 76032 78144 80586 80832 83358 85248 87616 87912 90112 90354 90936 92928 93462 98304 98568 101376 101882 104192 104544 107448 107776 110592 111144 113664 117216 120472 120879 121248 123904 124616 125037 127872 131072 131424 135168 135531 139392 140193 143264 147456 147852 148192 151552 152064 152823 156288 161172 161664 165649 166716 170496 171347 175232 175824 180224 180708 181872 185856 186924 196608 197136 202752 203764 208384 209088 214896 215552 221184 222288 227328 234432 240944 241758 242496 247808 249232 250074 255744 262144 262848 270336 271062 278784 280386 286528 294912 295704 296384 303104 304128 305646 312576 322344 323328 331298 333432 340992 342694 350464 351648 360448 361416 363744 371712 373848 393216 394272 405504 406593 407528 416768 418176 420579 429792 431104 442368 444576 454656 458469 468864 481888 483516 484992 495616 496947 498464 500148 511488 514041 524288 525696 540672 542124 557568 560772 573056 576349 589824 591408 592768 606208 608256 611292 625152 644688 646656 662596 666864 681984 685388 700928 703296 720896 722832 727488 743424 747696 786432 788544 811008 813186 815056 833536 836352 841158 859584 862208 884736 889152 909312 916938 937728 963776 967032 969984 991232 993894 996928 1000296 1022976 1028082 1048576 1051392 1081344 1084248 1115136 1121544 1146112 1152698 1179648 1182816 1185536 1212416 1216512 1222584 1250304 1289376 1293312 1325192 1333728 1363968 1370776 1375407 1401856 1406592 1441792 1445664 1454976 1486848 1490841 1495392 1542123 1572864 1577088 1622016 1626372 1630112 1667072 1672704 1682316 1719168 1724416 1729047 1769472 1778304 1818624 1833876 1875456 1884817 1927552 1934064 1939968 1982464 1987788 1993856 2000592 2045952 2056164 2097152 2102784 2162688 2168496 2230272 2243088 2292224 2305396 2359296 2365632 2371072 2424832 2433024 2445168 2500608 2578752 2586624 2650384 2667456 2727936 2741552 2750814 2803712 2813184 2883584 2891328 2909952 2973696 2981682 2990784 3084246 3145728 3154176 3244032 3252744 3260224 3334144 3345408 3364632 3438336 3448832 3458094 3538944 3556608 3637248 3667752 3750912 3769634 3855104 3868128 3879936 3964928 3975576 3987712 4001184 4091904 4112328 4205568 4325376 4336992 4460544 4472523 4486176 4584448 4610792 4626369 4718592 4731264 4742144 4849664 4866048 4890336 5001216 5157504 5173248 5187141 5300768 5334912 5455872 5483104 5501628 5607424 5626368 5654451 5767168 5782656 5819904 5947392 5963364 5981568 6168492 6291456 6308352 6339839 6488064 6505488 6520448 6668288 6690816 6729264 6876672 6897664 6916188 7077888 7113216 7274496 7335504 7501824 7539268 7710208 7736256 7759872 7929856 7951152 7975424 8002368 8183808 8224656 8411136 8650752 8673984 8921088 8945046 8972352 9168896 9221584 9252738 9437184 9462528 9484288 9699328 9732096 9780672 10002432 10315008 10346496 10374282 10601536 10669824 10911744 10966208 11003256 11214848 11252736 11308902 11534336 11565312 11639808 11894784 11926728 11963136 12336984 12616704 12679678 12976128 13010976 13040896 13336576 13381632 13458528 13753344 13795328 13832376 14155776 14226432 14548992 14671008 15003648 15078536 15420416 15472512 15519744 15561423 15859712 15902304 15950848 16004736 16367616 16449312 16822272 16963353 17301504 17347968 17842176 17890092 17944704 18337792 18443168 18505476 18874368 18925056 18968576 19019517 19398656 19464192 19561344 20004864 20630016 20692992 20748564 21203072 21339648 21823488 21932416 22006512 22429696 22505472 22617804 23068672 23130624 23279616 23789568 23853456 23926272 24673968 25233408 25359356 25952256 26021952 26081792 26673152 26763264 26917056 27506688 27590656 27664752 28311552 28452864 29097984 29342016 30007296 30157072 30840832 30945024 31039488 31122846 31719424 31804608 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1020854272 1024303104 1047527424 1052755968 1076625408 1085654592 1110269952 1115811664 1141899264 1144965888 1148461056 1173618688 1180362752 1184350464 1211203584 1213988864 1217249088 1251926016 1255288122 1280311296 1320321024 1324351488 1327908096 1356996608 1365737472 1369405224 1403674624 1408416768 1435500544 1440350208 1447539456 1480359936 1489895424 1526621184 1531281408 1579133952 1614938112 1622998784 1628481888 1665404928 1669234688 1673717496 1712848896 1722691584 1760428032 1770544128 1820983296 1825873632 1877889024 1882932183 1920466944 1930052608 1973813248 1980481536 1986527232 1991862144 2035494912 2041708544 2048606208 2095054848 2105511936 2153250816 2171309184 2220539904 2231623328 2283798528 2289931776 2296922112 2347237376 2360725504 2368700928 2422407168 2427977728 2434498176 2503852032 2510576244 2560622592 2640642048 2648702976 2655816192 2713993216 2731474944 2738810448 2807349248 2816833536 2871001088 2880700416 2895078912 2960719872 2979790848 3053242368 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10015408128 10042304976 10562568192 10623264768 10855972864 10925899776 10955241792 11229396992 11267334144 11522801664 11580315648 11842879488 11919163392 12212969472 12250251264 12633071616 12919504896 12983990272 13027855104 13323239424 13353877504 13389739968 13781532672 14083424256 14164353024 14567866368 14606989056 15023112192 15063457464 15440420864 15790505984 15843852288 15934897152 16283959296 16333668352 16388849664 16844095488 17370473472 17764319232 17852986624 18319454208 18375376896 18885804032 18949607424 19379257344 19475985408 20030816256 20084609952 21125136384 21246529536 21711945728 21851799552 21910483584 22458793984 22534668288 23045603328 23160631296 23685758976 23838326784 24425938944 24500502528 25266143232 25839009792 25967980544 26055710208 26646478848 26707755008 26779479936 27563065344 28166848512 28328706048 29135732736 29213978112 30046224384 30126914928 30880841728 31581011968 31687704576 31869794304 32567918592 32667336704 32777699328 33688190976 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146555633664 147003015168 151086432256 151596859392 155807883264 160246530048 160676879616 169972236288 173695565824 175283868672 179670351872 180277346304 185285050368 195407511552 202129145856 207743844352 208445681664 213171830784 214235839488 220504522752 226629648384 233711824896 240369795072 241015319424 247046733824 253501636608 254958354432 260543348736 262221594624 269505527808 277927575552 284229107712 285647785984 293111267328 294006030336 302172864512 303193718784 311615766528 320493060096 321353759232 339944472576 347391131648 350567737344 359340703744 360554692608 370570100736 390815023104 404258291712 415487688704 416891363328 426343661568 428471678976 441009045504 453259296768 467423649792 480739590144 482030638848 494093467648 509916708864 521086697472 539011055616 555855151104 571295571968 586222534656 604345729024 606387437568 623231533056 642707518464 679888945152 701135474688 721109385216 741140201472 781630046208 808516583424 830975377408 833782726656 852687323136 856943357952 882018091008 906518593536 934847299584 961479180288 964061277696 988186935296 1019833417728 1042173394944 1078022111232 1111710302208 1142591143936 1172445069312 1208691458048 1212774875136 1246463066112 1285415036928 1359777890304 1402270949376 1442218770432 1482280402944 1563260092416 1617033166848 1661950754816 1667565453312 1713886715904 1813037187072 1869694599168 1928122555392 1976373870592 2039666835456 2223420604416 2285182287872 2344890138624 2425549750272 2492926132224 2570830073856 2719555780608 2804541898752 2884437540864 2964560805888 3126520184832 3234066333696 3323901509632 3335130906624 3427773431808 3626074374144 3739389198336 3856245110784 3952747741184 4079333670912 4446841208832 4570364575744 4689780277248 4851099500544 4985852264448 5141660147712 5439111561216 5609083797504 5929121611776 6647803019264 6670261813248 6855546863616 7478778396672 7712490221568 8158667341824 8893682417664 9140729151488 9379560554496 9702199001088 9971704528896 10283320295424 10878223122432 11218167595008 11858243223552 13295606038528 13340523626496 13711093727232 14957556793344 15424980443136 16317334683648 17787364835328 18281458302976 19943409057792 20566640590848 22436335190016 26681047252992 27422187454464 29915113586688 30849960886272 32634669367296 35574729670656 36562916605952 39886818115584 41133281181696 44872670380032 53362094505984 54844374908928 59830227173376 61699921772544 73125833211904 82266562363392 89745340760064 106724189011968 109688749817856 119660454346752 123399843545088 146251666423808 164533124726784 179490681520128 219377499635712 246799687090176 329066249453568 358981363040256 438754999271424 493599374180352 658132498907136 987198748360704 1316264997814272 1974397496721408 3948794993442816
- Sum of all divisors σ(n): 13248843856017840
- Sum of proper divisors (its aliquot sum) s(n): 9300048862575024
- 3948794993442816 is an abundant number, because the sum of its proper divisors (9300048862575024) is greater than itself. Its abundance is 5351253869132208
Bases of 3948794993442816
- Binary: 11100000011101101000011110101110000000000000000000002
- Hexadecimal: 0xE07687AE00000
- Base-36: 12VQBDK8AO0
Squares and roots of 3948794993442816
- 3948794993442816 squared (39487949934428162) is 15592981900239049256436662009856
- 3948794993442816 cubed (39487949934428163) is 61573488860508405080033718801690946375564394496
-
The
square root of 3948794993442816 is 62839438.2012030403 -
The
cube root of 3948794993442816 is 158059.8367796283
Scales and comparisons
How big is 3948794993442816?- 3,948,794,993,442,816 seconds is equal to 125,559,466 years, 19 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 3,948,794,993,442,816 would take you about three hundred seventy-six million, six hundred seventy-eight thousand, three hundred ninety-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 3948794993442816 cubic inches would be around 13171.7 feet tall.
Recreational maths with 3948794993442816
- 3948794993442816 backwards is 6182443994978493
- The number of decimal digits it has is: 16
- The sum of 3948794993442816's digits is 90
- More coming soon!
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"Number 3948794993442816 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 3948794993442816 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/3948794993442816/
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The information we have on file for 3948794993442816 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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