138315675902668770264
138,315,675,902,668,770,264 is an even composite number composed of five prime numbers multiplied together.
138315675902668770264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred divisors.
Prime factorization of 138315675902668770264:
23 × 3 × 116 × 174 × 794
(2 × 2 × 2 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 17 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 138315675902668770264 from the Numbermatics database.
Names of 138315675902668770264
- Cardinal: 138315675902668770264 can be written as One hundred thirty-eight quintillion, three hundred fifteen quadrillion, six hundred seventy-five trillion, nine hundred two billion, six hundred sixty-eight million, seven hundred seventy thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38315675902668770264 × 1020
Factors of 138315675902668770264
Divisors of 138315675902668770264
- Number of divisors d(n): 1400
-
Complete list of divisors:
1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 79 88 102 121 132 136 158 187 204 237 242 264 289 316 363 374 408 474 484 561 578 632 726 748 867 869 948 968 1122 1156 1331 1343 1452 1496 1734 1738 1896 2057 2244 2312 2607 2662 2686 2904 3179 3468 3476 3993 4029 4114 4488 4913 5214 5324 5372 6171 6241 6358 6936 6952 7986 8058 8228 9537 9559 9826 10428 10648 10744 12342 12482 12716 14641 14739 14773 15972 16116 16456 18723 19074 19118 19652 20856 22627 22831 24684 24964 25432 28677 29282 29478 29546 31944 32232 34969 37446 38148 38236 39304 43923 44319 45254 45662 49368 49928 54043 57354 58564 58956 59092 67881 68493 68651 69938 74892 76296 76472 83521 87846 88638 90508 91324 104907 105149 106097 108086 114708 117128 117912 118184 135762 136986 137302 139876 149784 161051 162129 162503 167042 175692 177276 181016 182648 205953 209814 210298 212194 216172 229416 248897 250563 251141 271524 273972 274604 279752 315447 318291 322102 324258 325006 334084 351384 354552 384659 388127 411906 419628 420596 424388 432344 483153 487509 493039 497794 501126 502282 543048 547944 549208 594473 630894 636582 644204 648516 650012 668168 746691 753423 755161 769318 776254 823812 839256 841192 848776 918731 966306 975018 986078 995588 1002252 1004564 1153977 1156639 1164381 1167067 1188946 1261788 1273164 1288408 1297032 1300024 1479117 1493382 1506846 1510322 1538636 1552508 1647624 1771561 1783419 1787533 1803649 1837462 1932612 1950036 1972156 1991176 2004504 2009128 2265483 2307954 2313278 2328762 2334134 2377892 2523576 2546328 2737867 2756193 2762551 2958234 2986764 3013692 3020644 3077272 3105016 3469917 3501201 3543122 3566838 3575066 3607298 3674924 3865224 3900072 3944312 4231249 4269397 4530966 4615908 4626556 4657524 4668268 4755784 5314683 5362599 5410947 5423429 5475734 5512386 5525102 5916468 5973528 6027384 6041288 6539203 6598159 6939834 7002402 7086244 7133676 7150132 7214596 7349848 8213601 8287653 8306771 8381663 8462498 8538794 9061932 9231816 9253112 9315048 9336536 10106041 10629366 10725198 10821894 10846858 10951468 11024772 11050204 11832936 12693747 12723029 12808191 12837737 13078406 13196318 13879668 14004804 14172488 14267352 14300264 14429192 16270287 16427202 16575306 16613542 16763326 16924996 17077588 18123864 19617609 19662863 19794477 19840139 20212082 21258732 21450396 21643788 21693716 21902936 22049544 22100408 24920313 25144989 25387494 25446058 25616382 25675474 26156812 26392636 27759336 28009608 30116537 30318123 30388061 30662033 32540574 32854404 33150612 33227084 33526652 33849992 34155176 38169087 38513211 38950081 39235218 39325726 39588954 39680278 40424164 42517464 42900792 43287576 43387432 46543739 46963367 49840626 50289978 50774988 50892116 51232764 51350948 52313624 52785272 58988589 59520417 59657719 60233074 60636246 60776122 61324066 65081148 65708808 66301224 66454168 67053304 71931233 72579749 76338174 77026422 77900162 78470436 78651452 79177908 79360556 80848328 90349611 91164183 91374481 91986099 92198293 93087478 93926734 99681252 100579956 101549976 101784232 102465528 102701896 111166451 116850243 117977178 119040834 119315438 120466148 121272492 121552244 122648132 130162296 139631217 139953319 140890101 141215107 142488271 143862466 145159498 152676348 154052844 155800324 156940872 157302904 158355816 158721112 178973157 180699222 182328366 182748962 183972198 184396586 186174956 187853468 199362504 201159912 215793699 216291493 217739247 218241529 222332902 233700486 235954356 238081668 238630876 240932296 242544984 243104488 245296264 274123443 276594879 279262434 279906638 281780202 282430214 284976542 287724932 290318996 305352696 308105688 311600648 333499353 334268671 337282363 357946314 361398444 364656732 365497924 367944396 368793172 372349912 375706936 419859957 423645321 427464813 428450891 431587398 432582986 435478494 436483058 444665804 467400972 471908712 476163336 477261752 511981129 516597037 521254561 548246886 553189758 558524868 559813276 563560404 564860428 569953084 575449864 580637992 648874479 654724587 656234909 662151377 666998706 668537342 674564726 715892628 722796888 729313464 730995848 735888792 737586344 791243563 798377239 839719914 847290642 854929626 856901782 863174796 865165972 870956988 872966116 889331608 934801944 1002806013 1005119291 1011847089 1014181223 1023962258 1033194074 1042509122 1096493772 1106379516 1117049736 1119626552 1127120808 1129720856 1139906168 1222830961 1285352673 1297748958 1309449174 1312469818 1324302754 1333997412 1337074684 1349129452 1431785256 1535943387 1549791111 1553366177 1563763683 1567370981 1582487126 1596754478 1679439828 1694581284 1709859252 1713803564 1726349592 1730331944 1741913976 1745932232 1968704727 1986454131 2005612026 2010238582 2023694178 2028362446 2047924516 2066388148 2085018244 2192987544 2212759032 2373730689 2379206423 2395131717 2400656819 2422300607 2445661922 2570705346 2595497916 2618898348 2624939636 2648605508 2667994824 2674149368 2698258904 3015357873 3042543669 3071886774 3099582222 3106732354 3127527366 3134741962 3164974252 3193508956 3358879656 3389162568 3419718504 3427607128 3668492883 3676955381 3710105993 3937409454 3972908262 4011224052 4020477164 4047388356 4056724892 4095849032 4132776296 4170036488 4660098531 4702112943 4712959801 4747461378 4758412846 4790263434 4801313638 4844601214 4891323844 5141410692 5190995832 5237796696 5249879272 5297211016 5682567407 5733800171 6030715746 6085087338 6143773548 6199164444 6213464708 6255054732 6269483924 6329948504 6387017912 7137619269 7201970457 7218583999 7266901821 7283665147 7336985766 7353910762 7420211986 7874818908 7945816524 8022448104 8040954328 8094776712 8113449784 8703679193 8782149629 9320197062 9404225886 9425919602 9494922756 9516825692 9580526868 9602627276 9689202428 9782647688 10282821384 11030866143 11056312201 11130317979 11155993453 11256573409 11365134814 11467600342 12061431492 12170174676 12287547096 12398328888 12426929416 12510109464 12538967848 13451140571 14138879403 14275238538 14403940914 14437167998 14533803642 14567330294 14673971532 14707821524 14840423972 15749637816 15891633048 17047702221 17087027947 17201400513 17241080791 17407358386 17564299258 18640394124 18808451772 18851839204 18989845512 19033651384 19161053736 19205254552 19378404856 21655751997 21850995441 22061732286 22112624402 22260635958 22311986906 22513146818 22730269628 22935200684 24122862984 24340349352 26111037579 26346448887 26407225009 26645306677 26902281142 28277758806 28550477076 28807881828 28874335996 29067607284 29134660588 29347943064 29415643048 29680847944 33168936603 33467980359 33769720227 34095404442 34174055894 34402801026 34482161582 34814716772 35128598516 37280788248 37616903544 37703678408 40353421713 40446509191 40811165923 41179110319 43311503994 43701990882 44123464572 44225248804 44521271916 44623973812 45026293636 45460539256 45870401368 51261083841 51723242373 51842557811 52222075158 52692897774 52814450018 53290613354 53804562284 56555517612 57100954152 57615763656 57748671992 58135214568 58269321176 62508241477 63071801881 66337873206 66935960718 67539440454 68190808884 68348111788 68805602052 68964323164 69629433544 70257197032 79221675027 79404423989 79935920031 80120316617 80706843426 80893018382 81622331846 82358220638 86623007988 87403981764 88246929144 88450497608 89042543832 89247947624 90052587272 96603645919 102522167682 103446484746 103685115622 104444150316 105385795548 105628900036 106581226708 107609124568 113111035224 121339527573 122433497769 122715927983 123537330957 123822307499 125016482954 126143603762 132675746412 133871921436 135078880908 136381617768 136696223576 137611204104 137928646328 147962546281 155527673433 158443350054 158808847978 159871840062 160240633234 161413686852 161786036764 163244663692 164716441276 173246015976 174807963528 187524724431 187957307417 189215405643 189651888701 191361747953 193207291838 205044335364 206892969492 207370231244 208888300632 210771591096 211257800072 213162453416 238213271967 240360949851 242679055146 244866995538 245431855966 247074661914 247644614998 250032965908 252287207524 265351492824 267743842872 270157761816 289810937757 290479475099 293098373447 295925092562 311055346866 316886700108 317617695956 319743680124 320481266468 322827373704 323572073528 326489327384 329432882552 368147783949 371466922497 375049448862 375914614834 378430811286 379303777402 382723495906 386414583676 410088670728 413785938984 414740462488 443887638843 448922825153 452970213509 476426543934 480721899702 485358110292 489733991076 490863711932 494149323828 495289229996 500065931816 504574415048 563871922251 568955666103 570268135921 574085243859 579621875514 580958950198 586196746894 591850185124 622110693732 633773400216 635235391912 639487360248 640962532936 687590656247 693789820691 736295567898 742933844994 750098897724 751829229668 756861622572 758607554804 765446991812 772829167352 871438425297 873448663879 879295120341 881323482787 887775277686 897845650306 905940427018 952853087868 961443799404 970716220584 979467982152 981727423864 988298647656 990578459992 1062640105109 1127743844502 1137911332206 1140536271842 1148170487718 1159243751028 1161917900396 1172393493788 1183700370248 1244221387464 1346768475459 1349875207813 1358910640527 1362045382489 1375181312494 1387579641382 1472591135796 1485867689988 1500197795448 1503658459336 1513723245144 1517215109608 1530893983624 1710804407763 1742876850594 1746897327758 1758590240682 1762646965574 1775550555372 1795691300612 1811880854036 1905706175736 1922887598808 2062771968741 2081369462073 2086170775711 2104979227483 2125280210218 2255487689004 2275822664412 2281072543684 2296340975436 2318487502056 2323835800792 2344786987576 2620345991637 2643970448361 2693536950918 2699750415626 2717821281054 2724090764978 2750362624988 2775159282764 2945182271592 2971735379976 3187920315327 3195274226089 3224082107917 3253149715201 3421608815526 3485753701188 3493794655516 3517180481364 3525293931148 3551101110744 3591382601224 3623761708072 4049625623439 4086136147467 4125543937482 4162738924146 4172341551422 4209958454966 4250560420436 4510975378008 4551645328824 4562145087368 4592681950872 4938151076683 4982672348599 5240691983274 5287940896722 5387073901836 5399500831252 5435642562108 5448181529956 5500725249976 5550318565528 6258512327133 6272949495131 6314937682449 6375840630654 6390548452178 6448164215834 6506299430402 6843217631052 6971507402376 6987589311032 7034360962728 7050587862296 7631688027601 8099251246878 8172272294934 8251087874964 8325477848292 8344683102844 8419916909932 8501120840872 9585822678267 9672246323751 9694558310657 9759449145603 9876302153366 9965344697198 10481383966548 10575881793444 10774147803672 10799001662504 10871285124216 10896363059912 11689041156199 12517024654266 12545898990262 12629875364898 12751681261308 12781096904356 12896328431668 13012598860804 13686435262104 14814453230049 14848627285943 14948017045797 14982499207379 15263376055202 16198502493756 16344544589868 16502175749928 16650955696584 16689366205688 16839833819864 18818848485393 19171645356534 19344492647502 19389116621314 19518898291206 19752604306732 19930689394396 20962767933096 21151763586888 22895064082803 22947878532821 23154771502313 23378082312398 25034049308532 25091797980524 25259750729796 25503362522616 25562193808712 25792656863336 26025197721608 29083674931971 29628906460098 29697254571886 29896034091594 29964998414758 30526752110404 32397004987512 32689089179736 35067123468597 35464903187087 35784646867211 37637696970786 38343290713068 38688985295004 38778233242628 39037796582412 39505208613464 39861378788792 44545881857829 44947497622137 45790128165606 45895757065642 46309543004626 46756164624796 50068098617064 50183595961048 50519501459592 54319661843513 54809395834589 58167349863942 59257812920196 59394509143772 59792068183188 59929996829516 61053504220808 68843635598463 69002444446441 69464314506939 70134246937194 70929806374174 71569293734422 75275393941572 76686581426136 77377970590008 77556466485256 78075593164824 83948568303611 89091763715658 89894995244274 91580256331212 91791514131284 92619086009252 93512329249592 106394709561261 106640141417227 107353940601633 108639323687026 109618791669178 116334699727884 118515625840392 118789018287544 119584136366376 119859993659032 137687271196926 138004888892882 138928629013878 140268493874388 141859612748348 143138587468844 150550787883144 162958985530539 164428187503767 164807491281169 167897136607222 178183527431316 179789990488548 183160512662424 183583028262568 185238172018504 207007333339323 212789419122522 213280282834454 214707881203266 217278647374052 219237583338356 232669399455768 251845704910833 252426663861031 254702486525443 275374542393852 276009777785764 277857258027756 280536987748776 283719225496696 286277174937688 319920424251681 325917971061078 328856375007534 329614982562338 335794273214444 356367054862632 359579980977096 390113935057957 393631115539321 414014666678646 425578838245044 426560565668908 429415762406532 434557294748104 438475166676712 494422473843507 503691409821666 504853327722062 509404973050886 550749084787704 552019555571528 555714516055512 602903354180479 639840848503362 651835942122156 657712750015068 659229965124676 671588546428888 757279991583093 764107459576329 780227870115914 787262231078642 828029333357292 851157676490088 853121131337816 858831524813064 923434251339721 988844947687014 1007382819643332 1009706655444124 1018809946101772 1170341805173871 1173041555589497 1180893346617963 1205806708360958 1279681697006724 1303671884244312 1315425500030136 1318459930249352 1514559983166186 1528214919152658 1560455740231828 1574524462157284 1656058666714584 1808710062541437 1812882404092859 1846868502679442 1977689895374028 2014765639286664 2019413310888248 2037619892203544 2340683610347742 2346083111178994 2361786693235926 2411613416721916 2559363394013448 2770302754019163 2801727351779873 3029119966332372 3056429838305316 3120911480463656 3149048924314568 3519124666768491 3617420125082874 3625764808185718 3693737005358884 3955379790748056 4291253285637527 4329942270932531 4681367220695484 4692166222357988 4723573386471852 4823226833443832 5438647212278577 5540605508038326 5603454703559746 6058239932664744 6112859676610632 6631936895985269 7038249333536982 7234840250165748 7251529616371436 7387474010717768 8405182055339619 8582506571275054 8659884541865062 9362734441390968 9384332444715976 9447146772943704 10877294424557154 11081211016076652 11206909407119492 12873759856912581 12989826812797593 13263873791970538 14076498667073964 14469680500331496 14503059232742872 16810364110679238 17165013142550108 17319769083730124 19895810687955807 19941706445021449 21754588849114308 22162422032153304 22413818814238984 25747519713825162 25979653625595186 26527747583941076 28152997334147928 30819000869578603 33620728221358476 34330026285100216 34639538167460248 39791621375911614 39883412890042898 43509177698228616 47629364980257841 51495039427650324 51959307251190372 53055495167882152 59825119335064347 61638001739157206 67241456442716952 72951305855837959 79583242751823228 79766825780085796 92457002608735809 95258729960515682 102990078855300648 103918614502380744 119650238670128694 123276003478314412 142888094940773523 145902611711675918 159166485503646456 159533651560171592 184914005217471618 190517459921031364 218853917567513877 239300477340257388 246552006956628824 285776189881547046 291805223423351836 339009009565364633 369828010434943236 381034919842062728 437707835135027754 478600954680514776 523923014782836251 571552379763094092 583610446846703672 678018019130729266 739656020869886472 875415670270055508 1017027028696093899 1047846029565672502 1143104759526188184 1356036038261458532 1571769044348508753 1750831340540111016 2034054057392187798 2095692059131345004 2712072076522917064 3143538088697017506 4068108114784375596 4191384118262690008 5763153162611198761 6287076177394035012 8136216229568751192 11526306325222397522 12574152354788070024 17289459487833596283 23052612650444795044 34578918975667192566 46105225300889590088 69157837951334385132 138315675902668770264
- Sum of all divisors σ(n): 409322102459062738620
- Sum of proper divisors (its aliquot sum) s(n): 271006426556393968356
- 138315675902668770264 is an abundant number, because the sum of its proper divisors (271006426556393968356) is greater than itself. Its abundance is 132690750653725198092
Bases of 138315675902668770264
- Binary: 11101111111100000111111111001100111110101101010000100001011110110002
- Hexadecimal: 0x77F83FE67D6A10BD8
- Base-36: T6UVJ1ZD29V4O
Squares and roots of 138315675902668770264
- 138315675902668770264 squared (1383156759026687702642) is 19131226200412106335781085209922010629696
- 138315675902668770264 cubed (1383156759026687702643) is 2646148482756846193973750689180394845955276911254024600159744
-
The
square root of 138315675902668770264 is 11760768508.1659850799 -
The
cube root of 138315675902668770264 is 5171586.5954775701
Scales and comparisons
How big is 138315675902668770264?- 138,315,675,902,668,770,264 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,315,675,902,668,770,264 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 138315675902668770264 cubic inches would be around 430965.5 feet tall.
Recreational maths with 138315675902668770264
- 138315675902668770264 backwards is 462077866209576513831
- The number of decimal digits it has is: 21
- The sum of 138315675902668770264's digits is 96
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138315675902668770264 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 138315675902668770264 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138315675902668770264/
Chicago style:
Numbermatics. 2024. "Number 138315675902668770264 - Facts about the integer". https://numbermatics.com/n/138315675902668770264/
The information we have on file for 138315675902668770264 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!
Keywords: Divisors of 138315675902668770264, math, Factors of 138315675902668770264, curriculum, school, college, exams, university, Prime factorization of 138315675902668770264, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred fifteen quadrillion, six hundred seventy-five trillion, nine hundred two billion, six hundred sixty-eight million, seven hundred seventy thousand, two hundred sixty-four.