138948309049694976
138,948,309,049,694,976 is an even composite number composed of seven prime numbers multiplied together.
138948309049694976 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138948309049694976:
28 × 32 × 13 × 31 × 41 × 7433 × 491041
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 41 × 7433 × 491041)See below for interesting mathematical facts about the number 138948309049694976 from the Numbermatics database.
Names of 138948309049694976
- Cardinal: 138948309049694976 can be written as One hundred thirty-eight quadrillion, nine hundred forty-eight trillion, three hundred nine billion, forty-nine million, six hundred ninety-four thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38948309049694976 × 1017
Factors of 138948309049694976
Divisors of 138948309049694976
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 41 48 52 62 64 72 78 82 93 96 104 117 123 124 128 144 156 164 186 192 208 234 246 248 256 279 288 312 328 369 372 384 403 416 468 492 496 533 558 576 624 656 738 744 768 806 832 936 984 992 1066 1116 1152 1209 1248 1271 1312 1476 1488 1599 1612 1664 1872 1968 1984 2132 2232 2304 2418 2496 2542 2624 2952 2976 3198 3224 3328 3627 3744 3813 3936 3968 4264 4464 4797 4836 4992 5084 5248 5904 5952 6396 6448 7254 7433 7488 7626 7872 7936 8528 8928 9594 9672 9984 10168 10496 11439 11808 11904 12792 12896 14508 14866 14976 15252 15744 16523 17056 17856 19188 19344 20336 22299 22878 23616 23808 25584 25792 29016 29732 29952 30504 31488 33046 34112 35712 38376 38688 40672 44598 45756 47232 49569 51168 51584 58032 59464 61008 66092 66897 68224 71424 76752 77376 81344 89196 91512 94464 96629 99138 102336 103168 116064 118928 122016 132184 133794 136448 148707 153504 154752 162688 178392 183024 193258 198276 204672 230423 232128 237856 244032 264368 267588 289887 297414 304753 307008 309504 325376 356784 366048 386516 396552 409344 460846 464256 475712 488064 491041 528736 535176 579774 594828 609506 614016 691269 713568 732096 773032 793104 869661 914259 921692 928512 951424 976128 982082 1057472 1070352 1159548 1189656 1219012 1228032 1382538 1427136 1464192 1473123 1546064 1586208 1739322 1828518 1843384 1902848 1964164 2073807 2114944 2140704 2319096 2379312 2438024 2742777 2765076 2854272 2928384 2946246 2995499 3092128 3172416 3478644 3657036 3686768 3928328 3961789 4147614 4229888 4281408 4419369 4638192 4758624 4876048 5485554 5530152 5708544 5892492 5990998 6184256 6344832 6383533 6957288 7314072 7373536 7856656 7923578 8295228 8562816 8838738 8986497 9276384 9447343 9517248 9752096 10971108 11060304 11784984 11885367 11981996 12368512 12689664 12767066 13914576 14628144 14747072 15222271 15713312 15847156 16590456 17125632 17677476 17972994 18552768 18894686 19034496 19150599 19504192 20132681 21942216 22120608 23569968 23770734 23963992 24737024 25534132 26959491 27829152 28342029 29256288 29494144 30444542 31426624 31694312 33180912 35354952 35656101 35945988 37105536 37789372 38068992 38301198 39008384 40265362 43884432 44241216 45666813 47139936 47541468 47927984 51068264 53918982 55658304 56684058 57451797 58512576 58988288 60398043 60889084 62853248 63388624 66361824 70709904 71312202 71891976 74211072 75578744 76602396 78016768 80530724 85026087 87768864 88482432 91333626 94279872 95082936 95855968 102136528 107837964 111316608 113368116 114903594 117025152 120796086 121778168 122815459 125706496 126777248 132723648 137000439 141419808 142624404 143783952 151157488 153204792 161061448 170052174 175537728 176964864 181194129 182667252 188559744 190165872 191711936 197889523 204273056 215675928 222633216 226736232 229807188 234050304 241592172 243556336 245630918 253554496 261724853 265447296 274000878 282839616 285248808 287567904 302314976 306409584 322122896 340104348 351075456 362388258 365334504 368446377 377119488 380331744 383423872 395779046 408546112 431351856 453472464 459614376 483184344 487112672 491261836 507108992 523449706 530894592 548001756 565679232 570497616 575135808 593668569 604629952 612819168 624113111 644245792 680208696 702150912 724776516 730669008 736892754 760663488 766847744 785174559 791558092 817092224 862703712 906944928 919228752 966368688 974225344 982523672 1014217984 1046899412 1096003512 1105339131 1131358464 1140995232 1150271616 1187337138 1209259904 1225638336 1248226222 1288491584 1360417392 1449553032 1461338016 1473785508 1521326976 1570349118 1583116184 1634184448 1725407424 1781005707 1813889856 1838457504 1872339333 1932737376 1948450688 1965047344 2093798824 2192007024 2210678262 2281990464 2300543232 2355523677 2374674276 2418519808 2451276672 2496452444 2576983168 2720834784 2899106064 2922676032 2947571016 3042653952 3140698236 3166232368 3450814848 3562011414 3627779712 3649907753 3676915008 3744678666 3865474752 3896901376 3930094688 4187597648 4384014048 4421356524 4563980928 4711047354 4749348552 4902553344 4992904888 5153966336 5441669568 5617017999 5798212128 5845352064 5895142032 6281396472 6332464736 6901629696 7124022828 7255559424 7299815506 7353830016 7489357332 7730949504 7860189376 8113470443 8375195296 8768028096 8842713048 9127961856 9422094708 9498697104 9985809776 10883339136 10949723259 11234035998 11596424256 11690704128 11790284064 12562792944 12664929472 14248045656 14599631012 14707660032 14978714664 15461899008 15720378752 16226940886 16750390592 17536056192 17685426096 18844189416 18997394208 19971619552 21766678272 21899446518 22468071996 23192848512 23580568128 24340411329 25125585888 25329858944 28496091312 29199262024 29957429328 31440757504 32453881772 32849169777 33500781184 35072112384 35370852192 37688378832 37994788416 39943239104 43798893036 44936143992 46385697024 47161136256 47448800789 48680822658 50251171776 50659717888 56992182624 58398524048 59914858656 64907763544 65698339554 67001562368 70741704384 73021233987 75376757664 75989576832 79886478208 87597786072 89872287984 94322272512 94897601578 97361645316 100502343552 113147140343 113984365248 116797048096 119829717312 129815527088 131396679108 141483408768 142346402367 146042467974 149646217873 150753515328 151979153664 159772956416 175195572144 179744575968 189795203156 194723290632 201004687104 226294280686 227968730496 233594096192 239659434624 259631054176 262793358216 282966817536 284692804734 292084935948 299292435746 301507030656 339441421029 350391144288 359489151936 379590406312 389446581264 427039207101 448938653619 452588561372 455937460992 467188192384 479318869248 519262108352 525586716432 569385609468 584169871896 598584871492 603014061312 678882842058 700782288576 718978303872 759180812624 778893162528 854078414202 897877307238 905177122744 934376384768 1018324263087 1038524216704 1051173432864 1138771218936 1168339743792 1197169742984 1346815960857 1357765684116 1401564577152 1437956607744 1470912824459 1518361625248 1557786325056 1708156828404 1795754614476 1810354245488 1945400832349 2036648526174 2077048433408 2102346865728 2277542437872 2336679487584 2394339485968 2693631921714 2715531368232 2803129154304 2941825648918 3036723250496 3115572650112 3416313656808 3591509228952 3620708490976 3890801664698 4073297052348 4204693731456 4412738473377 4555084875744 4639032754063 4673358975168 4788678971936 5387263843428 5431062736464 5836202497047 5883651297836 6073446500992 6231145300224 6832627313616 7183018457904 7241416981952 7781603329396 8146594104696 8409387462912 8825476946754 9110169751488 9278065508126 9346717950336 9577357943872 10774527686856 10862125472928 11672404994094 11767302595672 12146893001984 13238215420131 13665254627232 13917098262189 14366036915808 14482833963904 15563206658792 16293188209392 17508607491141 17650953893508 18220339502976 18556131016252 18693435900672 19154715887744 21549055373712 21724250945856 23344809988188 23534605191344 26476430840262 27330509254464 27834196524378 28732073831616 28965667927808 31126413317584 32586376418784 35017214982282 35301907787016 36440679005952 37112262032504 38309431775488 41751294786567 43098110747424 43448501891712 46689619976376 47069210382688 52952861680524 54661018508928 55668393048756 57464147663232 60307425802819 62252826635168 65172752837568 70034429964564 70603815574032 74224524065008 83502589573134 86196221494848 86897003783424 93379239952752 94138420765376 105905723361048 109322037017856 111336786097512 114928295326464 120614851605638 124505653270336 130345505675136 140068859929128 141207631148064 148449048130016 167005179146268 172392442989696 180922277408457 186758479905504 188276841530752 211811446722096 222673572195024 241229703211276 249011306540672 260691011350272 280137719858256 282415262296128 296898096260032 334010358292536 344784885979392 361844554816914 373516959811008 376553683061504 423622893444192 445347144390048 482459406422552 498022613081344 542766832225371 560275439716512 564830524592256 593796192520064 668020716585072 723689109633828 747033919622016 847245786888384 890694288780096 964918812845104 1085533664450742 1120550879433024 1129661049184512 1187592385040128 1336041433170144 1447378219267656 1494067839244032 1694491573776768 1781388577560192 1929837625690208 2171067328901484 2241101758866048 2672082866340288 2894756438535312 3388983147553536 3562777155120384 3859675251380416 4342134657802968 4482203517732096 5344165732680576 5789512877070624 7719350502760832 8684269315605936 10688331465361152 11579025754141248 15438701005521664 17368538631211872 23158051508282496 34737077262423744 46316103016564992 69474154524847488 138948309049694976
- Sum of all divisors σ(n): 456281387542116864
- Sum of proper divisors (its aliquot sum) s(n): 317333078492421888
- 138948309049694976 is an abundant number, because the sum of its proper divisors (317333078492421888) is greater than itself. Its abundance is 178384769442726912
Bases of 138948309049694976
- Binary: 1111011011010010011000000001110110000110001011011000000002
- Hexadecimal: 0x1EDA4C03B0C5B00
- Base-36: 12052BYT5TS0
Squares and roots of 138948309049694976
- 138948309049694976 squared (1389483090496949762) is 19306632587769546764460758639640576
- 138948309049694976 cubed (1389483090496949763) is 2682623951514315247708269229825953456524715072946176
-
The
square root of 138948309049694976 is 372757708.2364561593 -
The
cube root of 138948309049694976 is 517945.9266981687
Scales and comparisons
How big is 138948309049694976?- 138,948,309,049,694,976 seconds is equal to 4,418,126,432 years, 22 weeks, 6 days, 12 hours, 9 minutes, 36 seconds.
-
To count from 1 to 138,948,309,049,694,976 would take you about thirteen billion, two hundred fifty-four million, three hundred seventy-nine thousand, two hundred ninety-seven 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 138948309049694976 cubic inches would be around 43162.2 feet tall.
Recreational maths with 138948309049694976
- 138948309049694976 backwards is 679496940903849831
- The number of decimal digits it has is: 18
- The sum of 138948309049694976's digits is 99
- More coming soon!
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The information we have on file for 138948309049694976 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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