138132774742231296
138,132,774,742,231,296 is an even composite number composed of six prime numbers multiplied together.
138132774742231296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138132774742231296:
28 × 32 × 31 × 71 × 1512 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 71 × 151 × 151 × 1093 × 1093)See below for interesting mathematical facts about the number 138132774742231296 from the Numbermatics database.
Names of 138132774742231296
- Cardinal: 138132774742231296 can be written as One hundred thirty-eight quadrillion, one hundred thirty-two trillion, seven hundred seventy-four billion, seven hundred forty-two million, two hundred thirty-one thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38132774742231296 × 1017
Factors of 138132774742231296
Divisors of 138132774742231296
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 71 72 93 96 124 128 142 144 151 186 192 213 248 256 279 284 288 302 372 384 426 453 496 558 568 576 604 639 744 768 852 906 992 1093 1116 1136 1152 1208 1278 1359 1488 1704 1812 1984 2186 2201 2232 2272 2304 2416 2556 2718 2976 3279 3408 3624 3968 4372 4402 4464 4544 4681 4832 5112 5436 5952 6558 6603 6816 7248 7936 8744 8804 8928 9088 9362 9664 9837 10224 10721 10872 11904 13116 13206 13632 14043 14496 17488 17608 17856 18176 18724 19328 19674 19809 20448 21442 21744 22801 23808 26232 26412 27264 28086 28992 32163 33883 34976 35216 35712 37448 38656 39348 39618 40896 42129 42884 43488 45602 52464 52824 54528 56172 57984 64326 67766 68403 69952 70432 71424 74896 77603 78696 79236 81792 84258 85768 86976 91204 96489 101649 104928 105648 112344 115968 128652 135532 136806 139904 140864 149792 155206 157392 158472 163584 165043 168516 171536 173952 182408 192978 203298 205209 209856 211296 224688 232809 257304 271064 273612 279808 281728 299584 304947 310412 314784 316944 330086 332351 337032 343072 347904 364816 385956 406596 410418 419712 422592 449376 465618 495129 514608 542128 547224 563456 599168 609894 620824 629568 633888 660172 664702 674064 686144 698427 706831 729632 771912 813192 820836 839424 845184 898752 931236 990258 997053 1029216 1084256 1094448 1194649 1198336 1219788 1241648 1259136 1267776 1320344 1329404 1348128 1372288 1396854 1413662 1459264 1485387 1543824 1618871 1626384 1641672 1690368 1797504 1862472 1980516 1994106 2058432 2120493 2168512 2188896 2389298 2405693 2439576 2483296 2518272 2535552 2640688 2658808 2696256 2744576 2793708 2827324 2918528 2970774 2991159 3087648 3237742 3252768 3283344 3583947 3595008 3724944 3961032 3988212 4116864 4240986 4337024 4377792 4778596 4811386 4856613 4879152 4966592 5071104 5116333 5281376 5317616 5392512 5587416 5654648 5837056 5941548 5982318 6175296 6361479 6475484 6505536 6566688 7167894 7217079 7449888 7922064 7976424 8233728 8481972 8674048 8755584 9557192 9622772 9713226 9758304 9933184 10232666 10562752 10635232 10751841 10785024 11174832 11309296 11718053 11883096 11964636 12350592 12722958 12950968 13011072 13133376 14335788 14434158 14569839 14899776 15348999 15844128 15952848 16963944 17511168 19114384 19245544 19426452 19516608 19866368 20465332 21125504 21270464 21503682 21651237 22349664 22618592 23436106 23766192 23929272 24701184 24921493 25445916 25901936 26022144 26266752 28671576 28868316 29139678 29799552 30697998 31688256 31905696 33927888 35154159 37034119 38228768 38491088 38852904 39033216 40930664 42251008 42540928 43007364 43302474 44699328 45237184 46046997 46872212 47532384 47858544 49842986 50185001 50891832 51803872 52533504 57343152 57736632 58279356 59599104 61395996 63376512 63811392 67855776 70308318 74068238 74764479 76457536 76982176 77705808 78066432 81861328 84820079 85081856 86014728 86604948 89398656 90474368 92093994 93744424 95064768 95717088 99685972 100370002 101783664 103607744 105462477 111102357 114686304 115473264 116558712 122791992 126753024 127622784 135711552 140616636 148136476 149528958 150555003 152915072 153964352 155411616 163722656 169640158 172029456 173209896 178797312 180391999 180948736 184187988 187488848 190129536 191434176 199371944 200740004 203567328 207215488 210924954 222204714 224293437 229372608 230946528 233117424 245583984 254460237 255245568 271423104 281233272 296272952 299057916 301110006 305830144 307928704 310823232 327445312 333307071 339280316 344058912 346419792 360783998 363259643 368375976 374977696 380259072 382868352 398743888 401480008 407134656 414430976 421849908 444409428 448586874 451665009 458745216 461893056 466234848 491167968 508920474 541175997 542846208 562466544 592545904 598115832 602220012 615857408 621646464 654890624 666614142 678560632 688117824 692839584 721567996 726519286 736751952 749955392 763380711 765736704 772566283 797487776 802960016 814269312 843699816 888818856 897173748 903330018 917490432 923786112 932469696 982335936 1017840948 1082351994 1089778929 1124933088 1185091808 1196231664 1204440024 1243292928 1309781248 1333228284 1357121264 1376235648 1385679168 1443135992 1453038572 1473503904 1499910784 1526761422 1545132566 1594975552 1605920032 1623527991 1628538624 1687399632 1769426003 1777637712 1794347496 1806660036 1847572224 1864939392 1964671872 2035681896 2164703988 2179557858 2249866176 2317698849 2370183616 2392463328 2408880048 2629422449 2666456568 2714242528 2752471296 2771358336 2886271984 2906077144 2947007808 2999821568 3053522844 3090265132 3189951104 3211840064 3247055982 3269336787 3374799264 3538852006 3555275424 3588694992 3613320072 3729878784 3929343744 4071363792 4329407976 4359115716 4499732352 4635397698 4740367232 4784926656 4817760096 5258844898 5308278009 5332913136 5428485056 5542716672 5592151969 5772543968 5812154288 5894015616 6107045688 6180530264 6379902208 6423680128 6494111964 6538673574 6749598528 6953096547 7077704012 7110550848 7177389984 7226640144 7888267347 8142727584 8658815952 8718231432 8999464704 9270795396 9480734464 9569853312 9635520192 10517689796 10616556018 10665826272 10856970112 11184303938 11545087936 11624308576 11788031232 12214091376 12361060528 12807831929 12847360256 12988223928 13077347148 13499197056 13906193094 14155408024 14221101696 14354779968 14453280288 15776534694 15924834027 16285455168 16776455907 17317631904 17436462864 18541590792 19139706624 19271040384 21035379592 21233112036 21331652544 21713940224 22368607876 23090175872 23248617152 23664802041 24428182752 24722121056 25615663858 25976447856 26154694296 26998394112 27239191849 27812386188 28310816048 28442203392 28709559936 28906560576 31553069388 31849668054 32570910336 33552911814 34635263808 34872925728 37083181584 38423495787 38542080768 42070759184 42466224072 42663305088 44737215752 46180351744 46497234304 47329604082 48856365504 49444242112 50329367721 51231327716 51952895712 52309388592 54478383698 54852206093 55624772376 56621632096 57419119872 57813121152 63106138776 63699336108 65141820672 67105823628 69270527616 69745851456 74166363168 76846991574 81717575547 84141518368 84932448144 85326610176 89474431504 92994468608 94659208164 97712731008 98888484224 100658735442 102462655432 103905791424 104618777184 108956767396 109704412186 111249544752 113243264192 115270487361 115626242304 126212277552 127398672216 134211647256 138541055232 139491702912 148332726336 153693983148 163435151094 164556618279 168283036736 169864896288 178948863008 189318416328 195425462016 197776968448 201317470884 204925310864 207811582848 209237554368 217913534792 219408824372 222499089504 226486528384 230540974722 245152726641 252424555104 254797344432 268423294512 278983405824 296665452672 307387966296 326870302188 329113236558 336566073472 339729792576 357897726016 378636832656 397042789799 402634941768 409850621728 415623165696 418475108736 435827069584 438817648744 444998179008 452973056768 461081949444 490305453282 493669854837 504849110208 509594688864 536846589024 593330905344 614775932592 653740604376 658226473116 673132146944 679459585152 715795452032 757273665312 794085579598 805269883536 819701243456 836950217472 844414947319 871654139168 877635297488 889996358016 922163898888 980610906564 987339709674 1009698220416 1019189377728 1073693178048 1191128369397 1229551865184 1307481208752 1316452946232 1358919170304 1431590904064 1514547330624 1588171159196 1610539767072 1639402486912 1688829894638 1743308278336 1755270594976 1779992716032 1844327797776 1933982621279 1961221813128 1974679419348 2019396440832 2038378755456 2147386356096 2382256738794 2459103730368 2533244841957 2614962417504 2632905892464 3029094661248 3176342318392 3221079534144 3278804973824 3377659789276 3486616556672 3510541189952 3573385108191 3688655595552 3867965242558 3922443626256 3949358838696 4076757510912 4294772712192 4764513477588 4918207460736 5066489683914 5229924835008 5265811784928 5801947863837 6058189322496 6352684636784 6442159068288 6755319578552 6973233113344 7021082379904 7146770216382 7377311191104 7599734525871 7735930485116 7844887252512 7898717677392 9529026955176 9836414921472 10132979367828 10459849670016 10531623569856 11603895727674 12705369273568 12884318136576 13510639157104 14042164759808 14293540432764 14754622382208 15199469051742 15471860970232 15689774505024 15797435354784 17405843591511 19058053910352 20265958735656 20919699340032 21063247139712 23207791455348 25410738547136 27021278314208 28587080865528 29509244764416 30398938103484 30943721940464 31379549010048 31594870709568 34811687183022 38116107820704 40531917471312 42126494279424 46415582910696 50821477094272 54042556628416 57174161731056 59953461259649 60797876206968 61887443880928 62759098020096 63189741419136 69623374366044 76232215641408 81063834942624 92831165821392 101642954188544 108085113256832 114348323462112 119906922519298 121595752413936 123774887761856 126379482838272 139246748732088 152464431282816 162127669885248 179860383778947 185662331642784 216170226513664 228696646924224 239813845038596 243191504827872 247549775523712 278493497464176 304928862565632 324255339770496 359720767557894 371324663285568 457393293848448 479627690077192 486383009655744 495099551047424 539581151336841 556986994928352 648510679540992 719441535115788 742649326571136 914786587696896 959255380154384 972766019311488 1079162302673682 1113973989856704 1438883070231576 1485298653142272 1918510760308768 1945532038622976 2158324605347364 2227947979713408 2877766140463152 3837021520617536 4316649210694728 4455895959426816 5755532280926304 7674043041235072 8633298421389456 11511064561852608 15348086082470144 17266596842778912 23022129123705216 34533193685557824 46044258247410432 69066387371115648 138132774742231296
- Sum of all divisors σ(n): 420072286813740288
- Sum of proper divisors (its aliquot sum) s(n): 281939512071508992
- 138132774742231296 is an abundant number, because the sum of its proper divisors (281939512071508992) is greater than itself. Its abundance is 143806737329277696
Bases of 138132774742231296
- Binary: 1111010101011111100000110110110100101100110001001000000002
- Hexadecimal: 0x1EABF06DA598900
- Base-36: 11S3ZCOEYWW0
Squares and roots of 138132774742231296
- 138132774742231296 squared (1381327747422312962) is 19080663457988012283097504761839616
- 138132774742231296 cubed (1381327747422312963) is 2635664987374582162372615554578495354921173527822336
-
The
square root of 138132774742231296 is 371662178.2509370377 -
The
cube root of 138132774742231296 is 516930.6047928433
Scales and comparisons
How big is 138132774742231296?- 138,132,774,742,231,296 seconds is equal to 4,392,194,964 years, 3 weeks, 6 days, 23 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,132,774,742,231,296 would take you about thirteen billion, one hundred seventy-six million, five hundred eighty-four thousand, eight hundred ninety-two 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 138132774742231296 cubic inches would be around 43077.6 feet tall.
Recreational maths with 138132774742231296
- 138132774742231296 backwards is 692132247477231831
- 138132774742231296 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138132774742231296's digits is 72
- More coming soon!
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The information we have on file for 138132774742231296 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 138132774742231296, math, Factors of 138132774742231296, curriculum, school, college, exams, university, Prime factorization of 138132774742231296, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-two trillion, seven hundred seventy-four billion, seven hundred forty-two million, two hundred thirty-one thousand, two hundred ninety-six.