138480037327424
138,480,037,327,424 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138480037327424 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138480037327424 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138480037327424:
26 × 132 × 17 × 312 × 37 × 59 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 31 × 31 × 37 × 59 × 359)See below for interesting mathematical facts about the number 138480037327424 from the Numbermatics database.
Names of 138480037327424
- Cardinal: 138480037327424 can be written as One hundred thirty-eight trillion, four hundred eighty billion, thirty-seven million, three hundred twenty-seven thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38480037327424 × 1014
Factors of 138480037327424
Divisors of 138480037327424
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 8 13 16 17 26 31 32 34 37 52 59 62 64 68 74 104 118 124 136 148 169 208 221 236 248 272 296 338 359 403 416 442 472 481 496 527 544 592 629 676 718 767 806 832 884 944 961 962 992 1003 1054 1088 1147 1184 1258 1352 1436 1534 1612 1768 1829 1888 1922 1924 1984 2006 2108 2183 2294 2368 2516 2704 2872 2873 3068 3224 3536 3658 3776 3844 3848 4012 4216 4366 4588 4667 5032 5239 5408 5744 5746 6103 6136 6253 6448 6851 7072 7316 7688 7696 8024 8177 8432 8732 9176 9334 9971 10064 10478 10816 11129 11488 11492 12206 12272 12493 12506 12896 13039 13283 13702 14144 14632 14911 15376 15392 16048 16337 16354 16864 17464 18352 18668 19499 19942 20128 20956 21181 22258 22976 22984 23777 24412 24544 24986 25012 25792 26078 26566 27404 28379 29264 29822 30752 30784 31093 32096 32674 32708 33728 34928 35557 36704 37111 37336 38998 39884 40256 41912 42362 44516 45968 47554 48824 49088 49972 50024 52156 53132 54808 56699 56758 58528 59644 60671 61504 62186 64192 65348 65416 67673 69856 71114 73408 74222 74672 77996 79339 79768 83824 84724 89032 89063 91936 95108 97648 99944 100048 104312 106264 106301 109616 113398 113516 117056 119288 121342 124372 130696 130832 135346 139712 142228 144677 148444 149344 155992 158678 159536 162409 167648 169448 169507 172679 178064 178126 183872 189193 190216 193843 195296 199888 200096 208624 212381 212528 212602 219232 225811 226796 227032 238576 242684 248744 253487 261392 261664 270692 275353 284456 289354 296888 298688 309101 311984 317356 319072 324818 335296 338896 339014 344999 345358 356128 356252 360077 368927 378386 380432 387686 390592 399776 400192 404209 411773 417248 424762 425056 425204 438464 451622 453592 454064 462241 477152 482443 485368 497488 506974 522784 523328 541384 550706 568912 578708 593776 604469 618202 623968 634712 638144 649636 656611 677792 678028 689998 690716 712256 712504 720154 737087 737854 756772 760864 775372 783697 799552 808418 823546 834496 849524 850112 850408 879749 903244 907184 908128 924482 954304 963883 964886 970736 994976 1013948 1031407 1045568 1082768 1101412 1137824 1150441 1157416 1187552 1208938 1236404 1247936 1269424 1299272 1313222 1355584 1356056 1379996 1381432 1425008 1440308 1474174 1475708 1513544 1521728 1550744 1567394 1616836 1647092 1699048 1700816 1759498 1806488 1814368 1816256 1848964 1880801 1927766 1929772 1941472 1989952 2027896 2062814 2097863 2165536 2202824 2244827 2275648 2300882 2314832 2375104 2417876 2459509 2472808 2538848 2598544 2626444 2712112 2759992 2760953 2762864 2850016 2880616 2935543 2948348 2951416 3027088 3101488 3134788 3233672 3294184 3295331 3398096 3401632 3518996 3579589 3612976 3628736 3697928 3761602 3855532 3859544 3882944 4055792 4125628 4195726 4331072 4405648 4484987 4489654 4601764 4629664 4681001 4835752 4919018 4945616 5077696 5197088 5252888 5254717 5353049 5424224 5519984 5521906 5525728 5700032 5761232 5864983 5871086 5896696 5902832 6009133 6054176 6202976 6269576 6271759 6467344 6588368 6590662 6796192 6803264 7000141 7037992 7159178 7225952 7395856 7523204 7711064 7719088 7858097 8111584 8251256 8391452 8535943 8811296 8969974 8979308 9203528 9259328 9362002 9582131 9671504 9838036 9891232 10188061 10394176 10505776 10509434 10706098 10848448 11039968 11043812 11051456 11162387 11436737 11522464 11729966 11742172 11793392 11805664 12018266 12108352 12405952 12530479 12539152 12543518 12764963 12934688 13176736 13181324 13322849 13592384 14000282 14075984 14318356 14451904 14791712 14955733 15046408 15422128 15438176 15716194 16223168 16502512 16782904 17071886 17622592 17939948 17958616 18407056 18724004 19164262 19343008 19676072 19782464 20354941 20376122 21011552 21018868 21412196 22079936 22087624 22324774 22873474 23044928 23459932 23484344 23586784 23611328 24036532 24294607 25060958 25078304 25087036 25529926 25869376 26353472 26362648 26645698 27272219 28000564 28151968 28636712 29583424 29911466 30092816 30844256 30876352 31432388 31973617 33005024 33565808 34143772 35663671 35879896 35917232 36814112 37448008 38162059 38328524 38686016 39352144 40709882 40752244 42023104 42037736 42824392 44175248 44649548 45746948 46919864 46968688 47173568 48073064 48589214 50121916 50156608 50174072 51059852 52725296 53291396 54544438 56001128 56303936 57273424 58304831 59822932 60185632 60853013 61688512 62864776 63947234 66010048 67131616 68287544 69589637 71327342 71759792 71834464 73628224 74896016 76244779 76324118 76657048 78704288 81419764 81504488 84075472 85648784 88350496 89299096 91001833 91493896 93839728 93937376 96146128 97178428 100243832 100348144 102119704 102155261 105450592 106582792 109088876 110967259 112002256 114546848 116609662 119645864 120371264 121706026 125729552 127894468 132444793 134263232 136575088 139179274 142654684 143519584 143668928 145111031 149792032 152489558 152648236 153314096 157408576 162839528 162896227 163008976 165944519 168150944 171297568 173197037 176700992 178598192 182003666 182987792 187679456 187874752 192292256 194356856 194424529 200487664 200696288 204239408 204310522 210901184 213165584 217004371 218177752 221934518 224004512 229093696 233219324 239291728 243412052 251459104 255788936 264614233 264889586 273150176 278358548 285309368 287039168 290222062 299584064 304979116 305296472 306628192 315829891 325679056 325792454 326017952 331889038 336301888 342595136 346033997 346394074 354538847 357196384 364007332 365975584 375358912 384584512 388713712 388849058 400975328 401392576 408478816 408621044 413008319 426331168 434008742 436355504 443869036 448009024 463627723 466438648 478583456 486824104 502918208 511577872 529228466 529779172 546300352 556717096 570618736 580444124 609958232 610592944 613256384 631659782 651358112 651584908 652035904 663778076 692067994 692788148 709077694 714392768 728014664 731951168 753132817 777427424 777698116 801950656 816957632 817242088 826016638 852662336 868017484 872711008 887738072 927255446 932877296 957166912 973648208 991182127 1023155744 1058456932 1059558344 1113434192 1141237472 1160888248 1183023829 1219916464 1221185888 1263319564 1302716224 1303169816 1327556152 1384135988 1385576296 1418155388 1456029328 1506265634 1554854848 1555396232 1634484176 1652033276 1736034968 1745422016 1775476144 1854510892 1865754592 1886443403 1947296416 1982364254 2046311488 2116913864 2119116688 2157278747 2226868384 2251561481 2282474944 2321776496 2366047658 2439832928 2442371776 2526639128 2606339632 2655112304 2768271976 2771152592 2821056823 2836310776 2912058656 3012531268 3110792464 3268968352 3304066552 3439985029 3472069936 3550952288 3709021784 3731509184 3772886806 3894592832 3964728508 4105788583 4233827728 4238233376 4314557494 4453736768 4498441961 4503122962 4643552992 4732095316 4879665856 5053278256 5212679264 5310224608 5369108147 5536543952 5542305184 5642113646 5672621552 5824117312 6025062536 6027160399 6221584928 6537936704 6608133104 6879970058 6944139872 7101904576 7418043568 7545773612 7929457016 8211577166 8467655456 8476466752 8629114988 8996883922 9006245924 9287105984 9464190632 9790726621 10106556512 10425358528 10620449216 10738216294 11073087904 11084610368 11284227292 11345243104 12050125072 12054320798 12443169856 12803257889 13216266208 13759940116 13888279744 14836087136 15091547224 15858914032 16423154332 16935310912 17258229976 17993767844 18012491848 18928381264 19581453242 20213113024 21476432588 22146175808 22568454584 22690486208 24100250144 24108641596 25606515778 26432532416 27519880232 29672174272 30183094448 31717828064 32846308664 34516459952 35987535688 36024983696 36673738699 37856762528 39162906484 42952865176 45136909168 48200500288 48217283192 51213031556 55039760464 58479745493 60366188896 63435656128 65692617328 69032919904 69798405911 71975071376 72049967392 73347477398 75713525056 78325812968 85905730352 90273818336 96434566384 102426063112 110079520928 116959490986 120732377792 127279446073 131385234656 138065839808 139596811822 143950142752 144099934784 146694954796 156651625936 166442352557 171811460704 180547636672 192869132768 204852126224 220159041856 233918981972 254558892146 262770469312 279193623644 287900285504 293389909592 313303251872 332884705114 343622921408 385738265536 409704252448 467837963944 509117784292 558387247288 586779819184 626606503744 665769410228 819408504896 935675927888 1018235568584 1116774494576 1173559638368 1331538820456 1871351855776 2036471137168 2163750583241 2233548989152 2347119276736 2663077640912 3742703711552 4072942274336 4327501166482 4467097978304 5326155281824 8145884548672 8655002332964 10652310563648 17310004665928 34620009331856 69240018663712 138480037327424
- Sum of all divisors σ(n): 340968227587200
- Sum of proper divisors (its aliquot sum) s(n): 202488190259776
- 138480037327424 is an abundant number, because the sum of its proper divisors (202488190259776) is greater than itself. Its abundance is 64008152932352
Bases of 138480037327424
- Binary: 111110111110010011001010110111011110010010000002
- Hexadecimal: 0x7DF2656EF240
- Base-36: 1D34UMRXVK
Squares and roots of 138480037327424
- 138480037327424 squared (1384800373274242) is 19176720738204744376582475776
- 138480037327424 cubed (1384800373274243) is 2655593003644178925830633401770224260481024
-
The
square root of 138480037327424 is 11767754.1326892109 -
The
cube root of 138480037327424 is 51736.3426136233
Scales and comparisons
How big is 138480037327424?- 138,480,037,327,424 seconds is equal to 4,403,236 years, 43 weeks, 4 days, 19 hours, 23 minutes, 44 seconds.
-
To count from 1 to 138,480,037,327,424 would take you about eleven million, eight thousand and 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 138480037327424 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138480037327424
- 138480037327424 backwards is 424723730084831
- The number of decimal digits it has is: 15
- The sum of 138480037327424's digits is 56
- More coming soon!
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The information we have on file for 138480037327424 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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