138383607811616960
138,383,607,811,616,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 138383607811616960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 896 divisors.
138383607811616960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138383607811616960:
26 × 5 × 13 × 373 × 1033 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 37 × 37 × 37 × 103 × 103 × 103 × 601)See below for interesting mathematical facts about the number 138383607811616960 from the Numbermatics database.
Names of 138383607811616960
- Cardinal: 138383607811616960 can be written as One hundred thirty-eight quadrillion, three hundred eighty-three trillion, six hundred seven billion, eight hundred eleven million, six hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3838360781161696 × 1017
Factors of 138383607811616960
Divisors of 138383607811616960
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 74 80 103 104 130 148 160 185 206 208 260 296 320 370 412 416 481 515 520 592 601 740 824 832 962 1030 1040 1184 1202 1339 1369 1480 1648 1924 2060 2080 2368 2404 2405 2678 2738 2960 3005 3296 3811 3848 4120 4160 4808 4810 5356 5476 5920 6010 6592 6695 6845 7622 7696 7813 8240 9616 9620 10609 10712 10952 11840 12020 13390 13690 15244 15392 15626 16480 17797 19055 19232 19240 21218 21424 21904 22237 24040 26780 27380 30488 30784 31252 32960 35594 38110 38464 38480 39065 42436 42848 43808 44474 48080 49543 50653 53045 53560 54760 60976 61903 62504 71188 76220 76960 78130 84872 85696 87616 88948 88985 96160 99086 101306 106090 107120 109520 111185 121952 123806 125008 137917 141007 142376 152440 153920 156260 169744 177896 177970 192320 198172 202612 212180 214240 219040 222370 243904 247612 247715 250016 253265 275834 282014 284752 289081 304880 309515 312520 339488 355792 355940 392533 396344 405224 424360 428480 438080 444740 495224 495430 500032 506530 551668 564028 569504 578162 609760 619030 625040 658489 678976 689585 705035 711584 711880 785066 792688 804739 810448 822769 848720 889480 990448 990860 1013060 1092727 1103336 1128056 1139008 1156324 1219520 1238060 1250080 1316978 1379170 1410070 1423168 1423760 1445405 1570132 1585376 1609478 1620896 1645538 1697440 1778960 1833091 1962665 1980896 1981720 2026120 2185454 2206672 2256112 2290411 2312648 2476120 2500160 2633956 2758340 2820140 2847520 2890810 3140264 3170752 3218956 3241792 3291076 3292445 3394880 3557920 3666182 3925330 3961792 3963440 4023695 4052240 4113845 4370908 4413344 4512224 4580822 4625296 4952240 5102929 5217259 5267912 5463635 5516680 5640280 5695040 5781620 6280528 6376009 6437912 6582152 6584890 7115840 7332364 7850660 7926880 8047390 8104480 8227690 8741816 8826688 9024448 9161644 9165455 9250592 9904480 10205858 10434518 10535824 10695997 10927270 11033360 11280560 11452055 11563240 12561056 12752018 12875824 13164304 13169780 14205451 14523721 14664728 15701320 15853760 16094780 16208960 16455380 17483632 18323288 18330910 18501184 19808960 20411716 20869036 21071648 21391994 21854540 22066720 22561120 22904110 23126480 25122112 25504036 25514645 25751648 26086295 26328608 26339560 28410902 29047442 29329456 29775343 30442453 31402640 31880045 32189560 32910760 34967264 36646576 36661820 40430899 40823432 41738072 42143296 42783988 43709080 44133440 45122240 45808220 46252960 51008072 51029290 51503296 52172590 52657216 52679120 53479985 56821804 58094884 58658912 59550686 60884906 62805280 63760090 64379120 65821520 67824367 69934528 71027255 72618605 73293152 73323640 80861798 81646864 82888117 83476144 84745207 85567976 87418160 91616440 92505920 102016144 102058580 104345180 105358240 106959970 113643608 116189768 117317824 119101372 121769812 125610560 127520180 128758240 131643040 135648734 142054510 145237210 146586304 146647280 148876715 152212265 161723596 163293728 165776234 166952288 169490414 171135952 174836320 183232880 188808373 202154495 204032288 204117160 208690360 210716480 213919940 227287216 232379536 235912333 238202744 243539624 255040360 257516480 263286080 271297468 284109020 290474420 293294560 297753430 304424530 323447192 326587456 331552468 333904576 338980828 339121835 342271904 349672640 366465760 377616746 395751889 404308990 408064576 408234320 414440585 417380720 423726035 427839880 454574432 464759072 471824666 476405488 487079248 510080720 525601687 537377677 542594936 568218040 580948840 586589120 595506860 608849060 646894384 656728927 663104936 677961656 678243670 684543808 732931520 755233492 791503778 808617980 816468640 828881170 834761440 847452070 855679760 909148864 929518144 943649332 944041865 952810976 974158496 1020161440 1051203374 1074755354 1085189872 1101687691 1136436080 1161897680 1179561665 1191013720 1217698120 1293788768 1313457854 1326209872 1355923312 1356487340 1495943263 1510466984 1583007556 1617235960 1632937280 1657762340 1669522880 1694904140 1711359520 1887298664 1888083730 1905621952 1948316992 1978759445 2040322880 2102406748 2149510708 2170379744 2203375382 2272872160 2323795360 2359123330 2382027440 2435396240 2587577536 2626915708 2628008435 2652419744 2686888385 2711846624 2712974680 2991886526 3020933968 3066860329 3135572659 3166015112 3234471920 3283644635 3315524680 3389808280 3422719040 3774597328 3776167460 3957518890 4204813496 4299021416 4340759488 4406750764 4545744320 4647590720 4718246660 4764054880 4870792480 5253831416 5256016870 5304839488 5373776770 5423693248 5425949360 5508438455 5983773052 6041867936 6133720658 6271145318 6332030224 6468943840 6567289270 6631049360 6779616560 6985909801 7479716315 7549194656 7552334920 7915037780 8409626992 8537476051 8598042832 8728756321 8813501528 9436493320 9528109760 9741584960 10507662832 10512033740 10747553540 10851898720 11016876910 11967546104 12083735872 12267441316 12542290636 12664060448 12937887680 13134578540 13262098720 13559233120 13971819602 14959432630 15098389312 15104669840 15334301645 15677863295 15830075560 16819253984 17074952102 17196085664 17457512642 17627003056 18872986640 19447262419 21015325664 21024067480 21495107080 21703797440 22033753820 23935092208 24298970299 24534882632 25084581272 25328120896 26269157080 26524197440 27118466240 27943639204 29918865260 30209339680 30668603290 31355726590 31660151120 33638507968 34149904204 34392171328 34915025284 34929549005 35254006112 37745973280 38894524838 40762444567 42030651328 42048134960 42687380255 42990214160 43643781605 44067507640 47870184416 48597940598 49069765264 50169162544 52538314160 55349900731 55887278408 59837730520 60418679360 61337206580 62711453180 63320302240 68299808408 69830050568 69859098010 70508012224 75491946560 77789049676 81524889134 84096269920 85374760510 85980428320 87287563210 88135015280 95740368832 97195881196 97236312095 98139530528 100338325088 105076628320 110699801462 111774556816 113473832173 119675461040 121494851495 122674413160 125422906360 126640604480 136599616816 139660101136 139718196020 155578099352 163049778268 168192539840 170749521020 171960856640 174575126420 176270030560 194391762392 194472624190 196279061056 200676650176 203812222835 210153256640 221399602924 223549113632 226947664346 239350922080 242989702990 245348826320 250845812720 273199233632 276749503655 279320202272 279436392040 311156198704 315886613887 322963983877 326099556536 341499042040 349150252840 352540061120 388783524784 388945248380 407624445670 442799205848 447098227264 453895328692 478701844160 485979405980 490697652640 501691625440 546398467264 553499007310 558640404544 558872784080 567369160865 622312397408 631773227774 645927967754 652199113072 682998084080 698300505680 719548709503 777567049568 777890496760 815248891340 885598411696 899061901063 907790657384 971958811960 981395305280 1003383250880 1106998014620 1117745568160 1134738321730 1244624794816 1263546455548 1291855935508 1304398226144 1365996168160 1396601011360 1439097419006 1555134099136 1555780993520 1579433069435 1614819919385 1630497782680 1771196823392 1798123802126 1815581314768 1943917623920 2213996029240 2235491136320 2269476643460 2527092911096 2583711871016 2608796452288 2731992336320 2793202022720 2878194838012 3111561987040 3158866138870 3229639838770 3260995565360 3542393646784 3596247604252 3597743547515 3631162629536 3887835247840 4198531790401 4427992058480 4495309505315 4538953286920 5054185822192 5167423742032 5756389676024 6223123974080 6317732277740 6459279677540 6521991130720 7192495208504 7195487095030 7262325259072 7775670495680 8397063580802 8855984116960 8990619010630 9077906573840 10108371644384 10334847484064 11512779352048 11687804713819 12635464555480 12918559355080 13043982261440 14384990417008 14390974190060 16794127161604 17711968233920 17981238021260 18155813147680 20216743288768 20669694968128 20992658952005 23025558704096 23375609427638 25270929110960 25837118710160 28769980834016 28781948380120 33265290339331 33588254323208 35962476042520 36311626295360 41985317904010 46051117408192 46751218855276 50541858221920 51674237420320 57539961668032 57563896760240 58439023569095 66530580678662 67176508646416 71924952085040 83970635808020 93502437710552 101083716443840 103348474840640 115127793520480 116878047138190 133061161357324 134353017292832 143849904170080 166326451696655 167941271616040 187004875421104 230255587040960 233756094276380 266122322714648 268706034585664 287699808340160 332652903393310 335882543232080 374009750842208 432448774411303 467512188552760 532244645429296 665305806786620 671765086464160 748019501684416 864897548822606 935024377105520 1064489290858592 1330611613573240 1343530172928320 1729795097645212 1870048754211040 2128978581717184 2162243872056515 2661223227146480 3459590195290424 3740097508422080 4324487744113030 5322446454292960 6919180390580848 8648975488226060 10644892908585920 13838360781161696 17297950976452120 27676721562323392 34595901952904240 69191803905808480 138383607811616960
- Sum of all divisors σ(n): 368920157392550400
- Sum of proper divisors (its aliquot sum) s(n): 230536549580933440
- 138383607811616960 is an abundant number, because the sum of its proper divisors (230536549580933440) is greater than itself. Its abundance is 92152941769316480
Bases of 138383607811616960
- Binary: 1111010111010001100101000011110100101100100110000110000002
- Hexadecimal: 0x1EBA3287A5930C0
- Base-36: 11UKW7SS5WOW
Squares and roots of 138383607811616960
- 138383607811616960 squared (1383836078116169602) is 19150022910959414513071529759641600
- 138383607811616960 cubed (1383836078116169603) is 2650049260093686989850217627626042881321046081536000
-
The
square root of 138383607811616960 is 371999472.8647030757 -
The
cube root of 138383607811616960 is 517243.3108953421
Scales and comparisons
How big is 138383607811616960?- 138,383,607,811,616,960 seconds is equal to 4,400,170,679 years, 41 weeks, 6 days, 6 hours, 29 minutes, 20 seconds.
-
To count from 1 to 138,383,607,811,616,960 would take you about thirteen billion, two hundred million, five hundred twelve thousand and thirty-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 138383607811616960 cubic inches would be around 43103.6 feet tall.
Recreational maths with 138383607811616960
- 138383607811616960 backwards is 069616118706383831
- The number of decimal digits it has is: 18
- The sum of 138383607811616960's digits is 77
- More coming soon!
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The information we have on file for 138383607811616960 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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