138140171604864
138,140,171,604,864 is an even composite number composed of five prime numbers multiplied together.
138140171604864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138140171604864:
27 × 312 × 112 × 13 × 1291
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 1291)See below for interesting mathematical facts about the number 138140171604864 from the Numbermatics database.
Names of 138140171604864
- Cardinal: 138140171604864 can be written as One hundred thirty-eight trillion, one hundred forty billion, one hundred seventy-one million, six hundred four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38140171604864 × 1014
Factors of 138140171604864
Divisors of 138140171604864
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 81 88 96 99 104 108 117 121 128 132 143 144 156 162 176 192 198 208 216 234 242 243 264 286 288 297 312 324 351 352 363 384 396 416 429 432 468 484 486 528 572 576 594 624 648 702 704 726 729 792 832 858 864 891 936 968 972 1053 1056 1089 1144 1152 1188 1248 1287 1291 1296 1404 1408 1452 1458 1573 1584 1664 1716 1728 1782 1872 1936 1944 2106 2112 2178 2187 2288 2376 2496 2574 2582 2592 2673 2808 2904 2916 3146 3159 3168 3267 3432 3456 3564 3744 3861 3872 3873 3888 4212 4224 4356 4374 4576 4719 4752 4992 5148 5164 5184 5346 5616 5808 5832 6292 6318 6336 6534 6561 6864 7128 7488 7722 7744 7746 7776 8019 8424 8712 8748 9152 9438 9477 9504 9801 10296 10328 10368 10692 11232 11583 11616 11619 11664 12584 12636 12672 13068 13122 13728 14157 14201 14256 14976 15444 15488 15492 15552 16038 16783 16848 17424 17496 18304 18876 18954 19008 19602 19683 20592 20656 21384 22464 23166 23232 23238 23328 24057 25168 25272 26136 26244 27456 28314 28402 28431 28512 29403 30888 30984 31104 32076 33566 33696 34749 34848 34857 34992 37752 37908 38016 39204 39366 41184 41312 42471 42603 42768 44928 46332 46464 46476 46656 48114 50336 50349 50544 52272 52488 54912 56628 56804 56862 57024 58806 59049 61776 61968 64152 67132 67392 69498 69696 69714 69984 72171 75504 75816 78408 78732 82368 82624 84942 85206 85293 85536 88209 92664 92952 93312 96228 100672 100698 101088 104247 104544 104571 104976 113256 113608 113724 114048 117612 118098 123552 123936 127413 127809 128304 134264 134784 138996 139392 139428 139968 144342 151008 151047 151632 156211 156816 157464 164736 165248 169884 170412 170586 171072 176418 177147 184613 185328 185904 192456 201344 201396 202176 208494 209088 209142 209952 216513 226512 227216 227448 235224 236196 247104 247872 254826 255618 255879 256608 264627 268528 277992 278856 279936 288684 302016 302094 303264 312422 312741 313632 313713 314928 339768 340824 341172 342144 352836 354294 369226 370656 371808 382239 383427 384912 402792 404352 416988 418176 418284 419904 433026 453024 453141 454432 454896 468633 470448 472392 494208 495744 509652 511236 511758 513216 529254 531441 537056 553839 555984 557712 577368 604032 604188 606528 624844 625482 627264 627426 629856 649539 679536 681648 682344 705672 708588 738452 741312 743616 764478 766854 767637 769824 793881 805584 833976 836568 839808 866052 906048 906282 908864 909792 937266 938223 940896 941139 944784 1019304 1022472 1023516 1026432 1058508 1062882 1074112 1107678 1111968 1115424 1146717 1150281 1154736 1208376 1213056 1249688 1250964 1254528 1254852 1259712 1299078 1359072 1359423 1363296 1364688 1405899 1411344 1417176 1476904 1482624 1487232 1528956 1533708 1535274 1539648 1587762 1611168 1661517 1667952 1673136 1732104 1812096 1812564 1817728 1819584 1874532 1876446 1881792 1882278 1889568 1948617 2030743 2038608 2044944 2047032 2117016 2125764 2148224 2215356 2223936 2230848 2293434 2300562 2302911 2309472 2381643 2416752 2499376 2501928 2509704 2519424 2598156 2718144 2718846 2726592 2729376 2811798 2814669 2822688 2823417 2834352 2953808 3057912 3067416 3070548 3079296 3175524 3222336 3323034 3335904 3346272 3440151 3450843 3464208 3625128 3639168 3749064 3752892 3763584 3764556 3779136 3897234 4061486 4077216 4078269 4089888 4094064 4217697 4234032 4251528 4430712 4447872 4461696 4586868 4601124 4605822 4618944 4763286 4833504 4984551 4998752 5003856 5019408 5196312 5436288 5437692 5453184 5458752 5623596 5629338 5645376 5646834 5668704 5845851 5907616 6092229 6115824 6134832 6141096 6351048 6444672 6646068 6671808 6692544 6880302 6901686 6908733 6928416 7144929 7250256 7498128 7505784 7529112 7558272 7794468 8122972 8154432 8156538 8179776 8188128 8435394 8444007 8468064 8470251 8503056 8861424 9173736 9202248 9211644 9237888 9526572 9667008 9969102 9997504 10007712 10038816 10320453 10352529 10392624 10875384 10917504 11247192 11258676 11290752 11293668 11337408 11691702 11815232 12184458 12231648 12234807 12269664 12282192 12653091 12702096 13292136 13343616 13385088 13760604 13803372 13817466 13856832 14289858 14500512 14953653 14996256 15011568 15058224 15588936 16245944 16308864 16313076 16359552 16376256 16870788 16888014 16936128 16940502 17006112 17722848 18276687 18347472 18404496 18423288 19053144 19334016 19938204 19995008 20015424 20077632 20640906 20705058 20785248 21434787 21750768 22494384 22517352 22587336 22674816 23383404 23630464 24368916 24463296 24469614 24539328 24564384 25306182 25332021 25404192 25410753 26584272 27521208 27606744 27634932 27713664 28579716 29001024 29907306 29992512 30023136 30116448 30961359 31057587 31177872 32491888 32626152 32752512 33741576 33776028 33872256 33881004 34012224 35445696 36553374 36694944 36704421 36808992 36846576 37959273 38106288 39876408 40030848 40155264 41281812 41410116 41570496 42869574 43501536 44860959 44988768 45034704 45174672 46766808 48737832 48926592 48939228 49078656 49128768 50612364 50664042 50808384 50821506 53168544 54830061 55042416 55213488 55269864 57159432 58002048 59814612 59985024 60046272 60232896 61922718 62115174 62355744 64304361 64983776 65252304 67483152 67552056 67762008 68024448 70891392 73106748 73389888 73408842 73617984 73693152 75918546 75996063 76212576 76232259 79752816 82563624 82820232 83140992 85739148 87003072 89721918 89977536 90069408 90349344 92884077 93172761 93533616 97475664 97878456 98257536 101224728 101328084 101616768 101643012 106337088 109660122 110084832 110113263 110426976 110539728 113877819 114318864 119629224 120092544 120465792 123845436 124230348 124711488 128608722 129967552 130504608 134582877 134966304 135104112 135524016 146213496 146779776 146817684 147235968 147386304 151837092 151992126 152425152 152464518 159505632 164490183 165127248 165640464 171478296 174006144 179443836 179955072 180138816 180698688 185768154 186345522 187067232 194951328 195756912 202449456 202656168 203286024 212674176 219320244 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991019367 993842784 1024900371 1028869776 1076663016 1080832896 1084192128 1114608924 1118073132 1169707968 1174541472 1211245893 1214696736 1215937008 1219716144 1315921464 1321017984 1321359156 1325123712 1366533828 1371826368 1372180662 1435550688 1480411647 1486145232 1490764176 1566055296 1614994524 1619595648 1621249344 1626288192 1671913386 1677109698 1754561952 1761812208 1822045104 1829574216 1914067584 1973882196 1981526976 1982038734 1987685568 2049800742 2057739552 2153326032 2229217848 2236146264 2339415936 2349082944 2422491786 2429393472 2431874016 2439432288 2515664547 2631842928 2642718312 2733067656 2743652736 2744361324 2871101376 2960823294 2972290464 2973058101 2981528352 3074701113 3229989048 3242498688 3252576384 3343826772 3354219396 3509123904 3523624416 3633737679 3644090208 3659148432 3947764392 3963053952 3964077468 3975371136 4099601484 4115479104 4306652064 4441234941 4458435696 4472292528 4698165888 4844983572 4858786944 4863748032 4878864576 5031329094 5263685856 5285436624 5466135312 5488722648 5742202752 5921646588 5944580928 5946116202 5963056704 6149402226 6459978096 6687653544 6708438792 7018247808 7047248832 7267475358 7288180416 7318296864 7546993641 7895528784 7928154936 8199202968 8230958208 8613304128 8882469882 8916871392 8919174303 8944585056 9224103339 9689967144 9727496064 9757729152 10062658188 10527371712 10570873248 10901213037 10932270624 10977445296 11843293176 11889161856 11892232404 11926113408 12298804452 12919956192 13323704823 13375307088 13416877584 14094497664 14534950716 14576360832 14636593728 15093987282 15791057568 15856309872 16398405936 17226608256 17764939764 17833742784 17838348606 17889170112 18448206678 19379934288 20125316376 21054743424 21141746496 21802426074 21864541248 21954890592 23686586352 23784464808 24597608904 25839912384 26647409646 26750614176 26833755168 27672310017 29069901432 29273187456 30187974564 31582115136 31712619744 32703639111 32796811872 35529879528 35667485568 35676697212 35778340224 36896413356 38759868576 39971114469 40250632752 42283492992 43604852148 43729082496 43909781184 47373172704 47568929616 49195217808 51679824768 53294819292 53501228352 53667510336 55344620034 58139802864 60375949128 63164230272 63425239488 65407278222 65593623744 71059759056 71353394424 73792826712 77519737152 79942228938 80501265504 83016930051 87209704296 87819562368 94746345408 95137859232 98110917333 98390435616 106589638584 107002456704 107335020672 110689240068 116279605728 119913343407 120751898256 126850478976 130814556444 131187247488 142119518112 142706788848 147585653424 155039474304 159884457876 161002531008 166033860102 174419408592 189492690816 190275718464 196221834666 196780871232 213179277168 221378480136 232559211456 239826686814 241503796512 261629112888 284239036224 285413577696 295171306848 319768915752 322005062016 332067720204 348838817184 359740030221 380551436928 392443669332 393561742464 426358554336 442756960272 465118422912 479653373628 483007593024 523258225776 568478072448 570827155392 590342613696 639537831504 664135440408 697677634368 719480060442 784887338664 852717108672 885513920544 959306747256 966015186048 1046516451552 1079220090663 1141654310784 1180685227392 1279075663008 1328270880816 1395355268736 1438960120884 1569774677328 1705434217344 1771027841088 1918613494512 2093032903104 2158440181326 2558151326016 2656541761632 2877920241768 3139549354656 3542055682176 3837226989024 4186065806208 4316880362652 5116302652032 5313083523264 5755840483536 6279098709312 7674453978048 8633760725304 10626167046528 11511680967072 12558197418624 15348907956096 17267521450608 23023361934144 34535042901216 46046723868288 69070085802432 138140171604864
- Sum of all divisors σ(n): 489022018617720
- Sum of proper divisors (its aliquot sum) s(n): 350881847012856
- 138140171604864 is an abundant number, because the sum of its proper divisors (350881847012856) is greater than itself. Its abundance is 212741675407992
Bases of 138140171604864
- Binary: 111110110100011010000111101101110010011100000002
- Hexadecimal: 0x7DA343DB9380
- Base-36: 1CYSPVI000
Squares and roots of 138140171604864
- 138140171604864 squared (1381401716048642) is 19082707011021274149348458496
- 138140171604864 cubed (1381401716048643) is 2636088421187820189143247562295348815724544
-
The
square root of 138140171604864 is 11753304.7099470709 -
The
cube root of 138140171604864 is 51693.9831655505
Scales and comparisons
How big is 138140171604864?- 138,140,171,604,864 seconds is equal to 4,392,430 years, 8 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,140,171,604,864 would take you about ten million, nine hundred eighty-one thousand and seventy-five 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 138140171604864 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138140171604864
- 138140171604864 backwards is 468406171041831
- 138140171604864 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138140171604864's digits is 54
- More coming soon!
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The information we have on file for 138140171604864 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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