3948951550490606016
3,948,951,550,490,606,016 is an even composite number composed of six prime numbers multiplied together.
3948951550490606016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 3948951550490606016:
26 × 33 × 7 × 192 × 53 × 17063061487
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 19 × 53 × 17063061487)See below for interesting mathematical facts about the number 3948951550490606016 from the Numbermatics database.
Names of 3948951550490606016
- Cardinal: 3948951550490606016 can be written as Three quintillion, nine hundred forty-eight quadrillion, nine hundred fifty-one trillion, five hundred fifty billion, four hundred ninety million, six hundred six thousand and sixteen.
Scientific notation
- Scientific notation: 3.948951550490606016 × 1018
Factors of 3948951550490606016
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 17063061571
Divisors of 3948951550490606016
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 53 54 56 57 63 64 72 76 84 96 106 108 112 114 126 133 144 152 159 168 171 189 192 212 216 224 228 252 266 288 304 318 336 342 361 371 378 399 424 432 448 456 477 504 513 532 576 608 636 672 684 722 742 756 798 848 864 912 954 1007 1008 1026 1064 1083 1113 1197 1216 1272 1344 1368 1431 1444 1484 1512 1596 1696 1728 1824 1908 2014 2016 2052 2128 2166 2226 2394 2527 2544 2736 2862 2888 2968 3021 3024 3192 3249 3339 3392 3591 3648 3816 4028 4032 4104 4256 4332 4452 4788 5054 5088 5472 5724 5776 5936 6042 6048 6384 6498 6678 7049 7182 7581 7632 8056 8208 8512 8664 8904 9063 9576 9747 10017 10108 10176 10944 11448 11552 11872 12084 12096 12768 12996 13356 14098 14364 15162 15264 16112 16416 17328 17808 18126 19133 19152 19494 20034 20216 21147 22743 22896 23104 23744 24168 25536 25992 26712 27189 28196 28728 30324 30528 32224 32832 34656 35616 36252 38266 38304 38988 40068 40432 42294 45486 45792 48336 51984 53424 54378 56392 57399 57456 60648 63441 64448 68229 69312 71232 72504 76532 76608 77976 80136 80864 84588 90972 91584 96672 103968 106848 108756 112784 114798 114912 121296 126882 133931 136458 145008 153064 155952 160272 161728 169176 172197 181944 190323 193344 207936 213696 217512 225568 229596 229824 242592 253764 267862 272916 290016 306128 311904 320544 338352 344394 363888 380646 401793 435024 451136 459192 485184 507528 516591 535724 545832 580032 612256 623808 641088 676704 688788 727776 761292 803586 870048 918384 1015056 1033182 1071448 1091664 1205379 1224512 1353408 1377576 1455552 1522584 1607172 1740096 1836768 2030112 2066364 2142896 2183328 2410758 2755152 3045168 3214344 3616137 3673536 4060224 4132728 4285792 4366656 4821516 5510304 6090336 6428688 7232274 8265456 8571584 9643032 11020608 12180672 12857376 14464548 16530912 19286064 25714752 28929096 33061824 38572128 57858192 77144256 115716384 231432768 17063061487 34126122974 51189184461 68252245948 102378368922 119441430409 136504491896 153567553383 204756737844 238882860818 273008983792 307135106766 324198168253 358324291227 409513475688 460702660149 477765721636 546017967584 614270213532 648396336506 716648582454 819026951376 904342258811 921405320298 955531443272 972594504759 1074972873681 1092035935168 1228540427064 1296792673012 1433297164908 1638053902752 1808684517622 1842810640596 1911062886544 1945189009518 2149945747362 2269387177771 2457080854128 2593585346024 2713026776433 2866594329816 2917783514277 3224918621043 3276107805504 3617369035244 3685621281192 3822125773088 3890378019036 4299891494724 4538774355542 4914161708256 5187170692048 5426053552866 5733188659632 5835567028554 6159765196807 6330395811677 6449837242086 6808161533313 7234738070488 7371242562384 7644251546176 7780756038072 8139080329299 8599782989448 8753350542831 9077548711084 9828323416512 10374341384096 10852107105732 11466377319264 11671134057108 12319530393614 12660791623354 12899674484172 13616323066626 14469476140976 14742485124768 15561512076144 16278160658598 17182502917409 17199565978896 17506701085662 18155097422168 18479295590421 18991187435031 20424484599939 20748682768192 21704214211464 22932754638528 23342268114216 24417240987897 24639060787228 25321583246708 25799348968344 27232646133252 28938952281952 29484970249536 31123024152288 32556321317196 34365005834818 34399131957792 35013402171324 36310194844336 36958591180842 37982374870062 40848969199878 43118356377649 43408428422928 46684536228432 48834481975794 49278121574456 50643166493416 51547508752227 51598697936688 54465292266504 55437886771263 56973562305093 57877904563904 61273453799817 62246048304576 65112642634392 68730011669636 68798263915584 70026804342648 72620389688672 73917182361684 75964749740124 81697938399756 86236712755298 86816856845856 93369072456864 97668963951588 98556243148912 101286332986832 103095017504454 103197395873376 108930584533008 110875773542526 113947124610186 120277520421863 122546907599634 129355069132947 130225285268784 137460023339272 140053608685296 145240779377344 147834364723368 151929499480248 154642526256681 163395876799512 166313660313789 170920686915279 172473425510596 173633713691712 186738144913728 195337927903176 197112486297824 202572665973664 206190035008908 206394791746752 217861169066016 221751547085052 227894249220372 240555040843726 245093815199268 258710138265894 260450570537568 274920046678544 280107217370592 295668729446736 303858998960496 309285052513362 326467555430771 326791753599024 332627320627578 341841373830558 344946851021192 360832561265589 388065207398841 390675855806352 394224972595648 405145331947328 412380070017816 435722338132032 443503094170104 455788498440744 463927578770043 481110081687452 490187630398536 517420276531788 520901141075136 549840093357088 560214434741184 591337458893472 607717997920992 618570105026724 652935110861542 653583507198048 665254641255156 683682747661116 689893702042384 721665122531178 776130414797682 781351711612704 824760140035632 887006188340208 911576996881488 927855157540086 962220163374904 979402666292313 980375260797072 1034840553063576 1082497683796767 1099680186714176 1164195622196523 1182674917786944 1215435995841984 1237140210053448 1305870221723084 1307167014396096 1330509282510312 1367365495322232 1379787404084768 1443330245062356 1552260829595364 1562703423225408 1649520280071264 1774012376680416 1823153993762976 1855710315080172 1924440326749808 1958805332584626 1960750521594144 2069681106127152 2164995367593534 2285272888015397 2328391244393046 2474280420106896 2611740443446168 2661018565020624 2734730990644464 2759574808169536 2886660490124712 2938207998876939 3104521659190728 3247493051390301 3299040560142528 3548024753360832 3646307987525952 3711420630160344 3848880653499616 3917610665169252 3921501043188288 4139362212254304 4329990735187068 4570545776030794 4656782488786092 4948560840213792 5223480886892336 5322037130041248 5469461981288928 5773320980249424 5876415997753878 6209043318381456 6494986102780602 6855818664046191 7422841260320688 7697761306999232 7835221330338504 8278724424508608 8659981470374136 8814623996630817 9141091552061588 9313564977572184 9897121680427584 10446961773784672 10644074260082496 10938923962577856 11546641960498848 11752831995507756 12418086636762912 12989972205561204 13711637328092382 14845682520641376 15670442660677008 17319962940748272 17629247993261634 18282183104123176 18627129955144368 20567455992138573 20893923547569344 23093283920997696 23505663991015512 24836173273525824 25979944411122408 27423274656184764 29691365041282752 31340885321354016 34639925881496544 35258495986523268 36564366208246352 37254259910288736 41134911984277146 47011327982031024 51959888822244816 54846549312369528 61702367976415719 62681770642708032 69279851762993088 70516991973046536 73128732416492704 74508519820577472 82269823968554292 94022655964062048 103919777644489632 109693098624739056 123404735952831438 141033983946093072 146257464832985408 164539647937108584 188045311928124096 207839555288979264 219386197249478112 246809471905662876 282067967892186144 329079295874217168 438772394498956224 493618943811325752 564135935784372288 658158591748434336 987237887622651504 1316317183496868672 1974475775245303008 3948951550490606016
- Sum of all divisors σ(n): 14266892555479111680
- Sum of proper divisors (its aliquot sum) s(n): 10317941004988505664
- 3948951550490606016 is an abundant number, because the sum of its proper divisors (10317941004988505664) is greater than itself. Its abundance is 6368989454497899648
Bases of 3948951550490606016
- Binary: 110110110011010111111010000011010000100011100001111001110000002
- Hexadecimal: 0x36CD7E83423879C0
- Base-36: U02YHU1AIUO0
Squares and roots of 3948951550490606016
- 3948951550490606016 squared (39489515504906060162) is 15594218348122161274885743862935392256
- 3948951550490606016 cubed (39489515504906060163) is 61580812724506065692216348924822880450980379660113412096
-
The
square root of 3948951550490606016 is 1987196907.8303755291 -
The
cube root of 3948951550490606016 is 1580619.2560710127
Scales and comparisons
How big is 3948951550490606016?- 3,948,951,550,490,606,016 seconds is equal to 125,564,444,396 years, 23 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 3,948,951,550,490,606,016 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 3948951550490606016 cubic inches would be around 131718.3 feet tall.
Recreational maths with 3948951550490606016
- 3948951550490606016 backwards is 6106060940551598493
- The number of decimal digits it has is: 19
- The sum of 3948951550490606016's digits is 81
- More coming soon!
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The information we have on file for 3948951550490606016 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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