138197635465344
138,197,635,465,344 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138197635465344 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138197635465344 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138197635465344:
27 × 3 × 73 × 13 × 17 × 107 × 44371
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 17 × 107 × 44371)See below for interesting mathematical facts about the number 138197635465344 from the Numbermatics database.
Names of 138197635465344
- Cardinal: 138197635465344 can be written as One hundred thirty-eight trillion, one hundred ninety-seven billion, six hundred thirty-five million, four hundred sixty-five thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38197635465344 × 1014
Factors of 138197635465344
Divisors of 138197635465344
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 49 51 52 56 64 68 78 84 91 96 98 102 104 107 112 119 128 136 147 156 168 182 192 196 204 208 214 221 224 238 272 273 294 312 321 336 343 357 364 384 392 408 416 428 442 448 476 544 546 588 624 637 642 663 672 686 714 728 749 784 816 832 833 856 884 896 952 1029 1088 1092 1176 1248 1274 1284 1326 1344 1372 1391 1428 1456 1498 1547 1568 1632 1664 1666 1712 1768 1819 1904 1911 2058 2176 2184 2247 2352 2496 2499 2548 2568 2652 2688 2744 2782 2856 2912 2996 3094 3136 3264 3332 3424 3536 3638 3808 3822 4116 4173 4368 4459 4494 4641 4704 4992 4998 5096 5136 5243 5304 5457 5488 5564 5712 5824 5831 5992 6188 6272 6528 6664 6848 7072 7276 7616 7644 8232 8346 8736 8918 8988 9282 9408 9737 9996 10192 10272 10486 10608 10829 10914 10976 11128 11424 11648 11662 11984 12376 12733 13328 13377 13696 14144 14552 15232 15288 15729 16464 16692 17472 17493 17836 17976 18564 18816 19474 19992 20384 20544 20972 21216 21658 21828 21952 22256 22848 23324 23647 23968 24752 25466 26656 26754 28288 29104 29211 30576 31458 32487 32928 33384 34944 34986 35672 35952 36701 37128 38199 38948 39984 40768 41088 41944 42432 43316 43656 43904 44371 44512 45696 46648 47294 47936 49504 50932 53312 53508 58208 58422 61152 62916 64974 65856 66768 68159 69972 70941 71344 71904 73402 74256 75803 76398 77896 79968 81536 83888 84864 86632 87312 88742 89024 89131 93296 94588 95872 99008 101864 106624 107016 110103 116416 116844 122304 125832 129948 131712 133113 133536 136318 139944 141882 142688 143808 146804 148512 151606 152796 155792 159936 165529 167776 173264 174624 177484 178048 178262 186592 189176 198016 203728 204477 214032 220206 227409 232832 233688 244608 251664 259896 266226 267072 267393 272636 279888 283764 285376 287616 293608 297024 303212 305592 310597 311584 319872 331058 335552 346528 349248 354968 356524 373184 378352 407456 408954 428064 440412 454818 467376 477113 496587 503328 519792 532452 534144 534786 545272 559776 567528 570752 576823 587216 594048 606424 611184 621194 623168 623917 662116 671104 693056 698496 709936 713048 746368 754307 756704 814912 817908 856128 880824 909636 931791 934752 954226 993174 1006656 1039584 1064904 1069572 1090544 1119552 1135056 1153646 1158703 1174432 1212848 1222368 1242388 1246336 1247834 1324232 1386112 1419872 1426096 1431339 1508614 1513408 1629824 1635816 1712256 1730469 1761648 1819272 1863582 1869504 1871751 1908452 1986348 2013312 2079168 2129808 2139144 2174179 2181088 2239104 2262921 2270112 2307292 2317406 2348864 2425696 2444736 2484776 2495668 2648464 2839744 2852192 2862678 3017228 3026816 3271632 3460938 3476109 3523296 3638544 3727164 3739008 3743502 3816904 3972696 4037761 4158336 4259616 4278288 4348358 4362176 4525842 4540224 4614584 4634812 4697728 4747697 4851392 4889472 4969552 4991336 5280149 5296928 5679488 5704384 5725356 6034456 6522537 6543264 6921876 6952218 7046592 7277088 7454328 7487004 7633808 7945392 8075522 8110921 8519232 8556576 8696716 8724352 9051684 9080448 9229168 9269624 9495394 9702784 9805991 9939104 9982672 10560298 10593856 11408768 11450712 12068912 12113283 13045074 13086528 13843752 13904436 14093184 14243091 14554176 14908656 14974008 15219253 15267616 15840447 15890784 16151044 16221842 17038464 17113152 17393432 18103368 18458336 18539248 18990788 19611982 19878208 19965344 21120596 21187712 22901424 24137824 24226566 24332763 26090148 26173056 27687504 27808872 28264327 28486182 29108352 29417973 29817312 29948016 30438506 30535232 31680894 31781568 32302088 32443684 33233879 34226304 34786864 36206736 36916672 36961043 37078496 37981576 39223964 39756416 39930688 42241192 45657759 45802848 48275648 48453132 48665526 52180296 55375008 55617744 56528654 56972364 58835946 59634624 59896032 60877012 61070464 61720061 63361788 63563136 64604176 64887368 66467758 68641937 69573728 72413472 73833344 73922086 74156992 75963152 78447928 79861376 80710849 84482384 84792981 91315518 91605696 96551296 96906264 97331052 99701637 104360592 110750016 110883129 111235488 113057308 113944728 117671892 119269248 119792064 121754024 123440122 126723576 129208352 129774736 132935516 137283874 139147456 144826944 147844172 148313984 151926304 156895856 161421698 168964768 169585962 182631036 183211392 185160183 193812528 194662104 197850289 199403274 205925811 208721184 221500032 221766258 222470976 226114616 227889456 232637153 235343784 239584128 242132547 243508048 246880244 253447152 258416704 258727301 259549472 265871032 274567748 278294912 289653888 295688344 303852608 313791712 322843396 337929536 339171924 365262072 370320366 387625056 389324208 395700578 398806548 411851622 417442368 432040427 443532516 444941952 452229232 455778912 465274306 470687568 480493559 484265094 487016096 493760488 506894304 516833408 517454602 519098944 531742064 549135496 564975943 591376688 593550867 607705216 627583424 645686792 675859072 678343848 697911459 730524144 740640732 775250112 776181903 778648416 791401156 797613096 823703244 834884736 864080854 887065032 904458464 911557824 930548612 941375136 960987118 968530188 974032192 987520976 1013788608 1034909204 1038197888 1049241037 1063484128 1098270992 1129951886 1182753376 1187101734 1255166848 1291373584 1296121281 1356687696 1395822918 1441480677 1461048288 1481281464 1550500224 1552363806 1557296832 1582802312 1595226192 1628460071 1647406488 1694927829 1728161708 1774130064 1808916928 1823115648 1861097224 1882750272 1921974236 1937060376 1948064384 1975041952 2027577216 2069818408 2098482074 2126968256 2196541984 2259903772 2365506752 2374203468 2582747168 2592242562 2713375392 2791645836 2882961354 2922096576 2962562928 3024282989 3104727612 3114593664 3147723111 3165604624 3190452384 3256920142 3294812976 3363454913 3389855658 3456323416 3548260128 3617833856 3722194448 3765500544 3843948472 3874120752 3950083904 3954831601 4139636816 4196964148 4253936512 4393083968 4519807544 4731013504 4748406936 4885380213 5165494336 5184485124 5426750784 5583291672 5765922708 5844193152 5925125856 6048565978 6209455224 6295446222 6331209248 6380904768 6513840284 6589625952 6726909826 6779711316 6912646832 7096520256 7344687259 7444388896 7687896944 7748241504 7900167808 7909663202 8279273632 8393928296 8786167936 9039615088 9072848967 9496813872 9770760426 10090364739 10330988672 10368970248 10853501568 11166583344 11531845416 11850251712 11864494803 12097131956 12418910448 12590892444 12662418496 12761809536 13027680568 13179251904 13453819652 13559422632 13825293664 14193040512 14689374518 14888777792 15375793888 15496483008 15819326404 16558547264 16787856592 18079230176 18145697934 18993627744 19541520852 20180729478 20737940496 21169980923 22034061777 22333166688 23063690832 23700503424 23728989606 24194263912 24837820896 25181784888 25324836992 26055361136 26358503808 26907639304 27118845264 27650587328 27683821207 29378749036 29777555584 30751587776 30992966016 31638652808 33117094528 33575713184 36158460352 36291395868 37987255488 39083041704 40361458956 41475880992 42339961846 44068123554 44666333376 46127381664 47457979212 48388527824 49675641792 50363569776 51412810813 52110722272 53815278608 54237690528 55301174656 55367642414 58757498072 61503175552 63277305616 63509942769 67151426368 72316920704 72582791736 75974510976 78166083408 80722917912 82951761984 83051463621 84679923692 88136247108 89332666752 92254763328 94915958424 96777055648 99351283584 100727139552 102825621626 104221444544 107630557216 108475381056 110735284828 117514996144 126554611232 127019885538 134302852736 145165583472 154238432439 156332166816 161445835824 165903523968 166102927242 169359847384 176272494216 184509526656 189831916848 193554111296 201454279104 205651243252 208442889088 215261114432 216950762112 221470569656 235029992288 253109222464 254039771076 290331166944 308476864878 312664333632 322891671648 332205854484 338719694768 352544988432 359889675691 379663833696 387108222592 402908558208 411302486504 430522228864 442941139312 470059984576 506218444928 508079542152 580662333888 616953729756 625328667264 645783343296 664411708968 677439389536 705089976864 719779351382 759327667392 822604973008 885882278624 940119969152 1016159084304 1079669027073 1161324667776 1233907459512 1291566686592 1328823417936 1354878779072 1410179953728 1439558702764 1518655334784 1645209946016 1771764557248 2032318168608 2159338054146 2467814919024 2657646835872 2709757558144 2820359907456 2879117405528 3290419892032 3543529114496 4064636337216 4318676108292 4935629838048 5315293671744 5758234811056 6580839784064 8129272674432 8637352216584 9871259676096 10630587343488 11516469622112 17274704433168 19742519352192 23032939244224 34549408866336 46065878488448 69098817732672 138197635465344
- Sum of all divisors σ(n): 492712367616000
- Sum of proper divisors (its aliquot sum) s(n): 354514732150656
- 138197635465344 is an abundant number, because the sum of its proper divisors (354514732150656) is greater than itself. Its abundance is 216317096685312
Bases of 138197635465344
- Binary: 111110110110000101001001111100010000000100000002
- Hexadecimal: 0x7DB0A4F88080
- Base-36: 1CZJ47ZYIO
Squares and roots of 138197635465344
- 138197635465344 squared (1381976354653442) is 19098586448212105739425038336
- 138197635465344 cubed (1381976354653443) is 2639379487873375603715280691026540399427584
-
The
square root of 138197635465344 is 11755749.0388891851 -
The
cube root of 138197635465344 is 51701.1500984811
Scales and comparisons
How big is 138197635465344?- 138,197,635,465,344 seconds is equal to 4,394,257 years, 17 weeks, 2 days, 17 hours, 42 minutes, 24 seconds.
-
To count from 1 to 138,197,635,465,344 would take you about ten million, nine hundred eighty-five thousand, six hundred forty-three 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 138197635465344 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138197635465344
- 138197635465344 backwards is 443564536791831
- The number of decimal digits it has is: 15
- The sum of 138197635465344's digits is 69
- More coming soon!
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The information we have on file for 138197635465344 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 138197635465344, math, Factors of 138197635465344, curriculum, school, college, exams, university, Prime factorization of 138197635465344, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred ninety-seven billion, six hundred thirty-five million, four hundred sixty-five thousand, three hundred forty-four.