138378362707968
138,378,362,707,968 is an even composite number composed of seven prime numbers multiplied together.
138378362707968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138378362707968:
213 × 3 × 17 × 192 × 37 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 19 × 19 × 37 × 137 × 181)See below for interesting mathematical facts about the number 138378362707968 from the Numbermatics database.
Names of 138378362707968
- Cardinal: 138378362707968 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, three hundred sixty-two million, seven hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38378362707968 × 1014
Factors of 138378362707968
Divisors of 138378362707968
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 19 24 32 34 37 38 48 51 57 64 68 74 76 96 102 111 114 128 136 137 148 152 181 192 204 222 228 256 272 274 296 304 323 361 362 384 408 411 444 456 512 543 544 548 592 608 629 646 703 722 724 768 816 822 888 912 969 1024 1083 1086 1088 1096 1184 1216 1258 1292 1406 1444 1448 1536 1632 1644 1776 1824 1887 1938 2048 2109 2166 2172 2176 2192 2329 2368 2432 2516 2584 2603 2812 2888 2896 3072 3077 3264 3288 3439 3552 3648 3774 3876 4096 4218 4332 4344 4352 4384 4658 4736 4864 5032 5069 5168 5206 5624 5776 5792 6137 6144 6154 6528 6576 6697 6878 6987 7104 7296 7548 7752 7809 8192 8436 8664 8688 8704 8768 9231 9316 9472 9728 10064 10138 10317 10336 10412 11248 11552 11584 11951 12274 12288 12308 13056 13152 13357 13394 13756 13974 14208 14592 15096 15207 15504 15618 16872 17328 17376 17408 17536 18411 18462 18632 18944 19456 20091 20128 20276 20634 20672 20824 22496 23104 23168 23902 24548 24576 24616 24797 26112 26304 26714 26788 27512 27948 28416 29184 30192 30414 31008 31236 33744 34656 34752 34816 35072 35853 36822 36924 37264 37888 38912 40071 40182 40256 40552 41268 41344 41648 44251 44992 46208 46336 47804 49096 49232 49457 49594 52224 52608 53428 53576 55024 55896 56832 58368 58463 60384 60828 62016 62472 65341 67488 69312 69504 69632 70144 71706 73644 73848 74391 74528 75776 77824 80142 80364 80512 81104 82536 82688 83296 86173 88502 89984 92416 92672 95608 96311 98192 98464 98914 99188 104448 105216 106856 107152 110048 111792 113664 113849 116736 116926 120768 121656 124032 124944 127243 130682 132753 134976 138624 139008 139264 140288 143412 147288 147696 148371 148782 149056 151552 155648 160284 160728 161024 162208 165072 165376 166592 172346 175389 177004 179968 184832 185344 191216 192622 196023 196384 196928 197828 198376 208896 210432 213712 214304 220096 223584 227069 227328 227698 233472 233852 241536 243312 248064 249888 254486 258519 261364 265506 269952 277248 278016 280576 286824 288933 294576 295392 296742 297564 298112 303104 320568 321456 322048 324416 330144 330752 333184 341547 344692 350778 354008 359936 369664 370688 381729 382432 385244 392046 392768 393856 395656 396752 417792 420864 421549 427424 428608 440192 447168 454138 454656 455396 466944 467704 471143 483072 486624 496128 499776 508972 517038 522728 531012 539904 554496 556032 561152 573648 577866 589152 590784 593484 595128 596224 641136 642912 644096 648832 660288 661504 666368 681207 683094 689384 701556 708016 719872 739328 741376 763458 764864 770488 784092 785536 787712 791312 793504 840769 841728 843098 854848 857216 880384 894336 908276 909312 910792 917489 935408 942286 966144 973248 992256 999552 1017944 1034076 1045456 1062024 1079808 1108992 1110797 1112064 1122304 1147296 1155732 1178304 1181568 1186968 1190256 1192448 1264647 1282272 1285824 1288192 1297664 1320576 1323008 1332736 1362414 1366188 1378768 1403112 1413429 1416032 1439744 1478656 1482752 1526916 1529728 1540976 1568184 1571072 1575424 1582624 1587008 1637287 1681538 1683456 1686196 1709696 1714432 1760768 1788672 1816552 1821584 1829909 1834978 1870816 1884572 1932288 1946496 1984512 1999104 2035888 2068152 2090912 2124048 2159616 2163131 2217984 2221594 2224128 2294592 2311464 2356608 2363136 2373936 2380512 2384896 2417617 2522307 2529294 2564544 2571648 2576384 2595328 2641152 2646016 2665472 2724828 2732376 2752467 2757536 2806224 2826858 2832064 2879488 2957312 3053832 3059456 3081952 3136368 3142144 3150848 3165248 3174016 3274574 3332391 3363076 3366912 3372392 3419392 3428864 3521536 3577344 3633104 3643168 3659818 3669956 3741632 3769144 3864576 3892992 3969024 3998208 4071776 4136304 4181824 4248096 4319232 4326262 4435968 4443188 4448256 4589184 4622928 4713216 4726272 4747872 4761024 4769792 4835234 4911861 5044614 5058588 5129088 5143296 5152768 5190656 5282304 5330944 5449656 5464752 5489727 5504934 5515072 5612448 5653716 5664128 5758976 6107664 6118912 6163904 6272736 6284288 6301696 6330496 6348032 6489393 6549148 6664782 6726152 6744784 6838784 6857728 7043072 7154688 7252851 7266208 7286336 7319636 7339912 7483264 7538288 7729152 7785984 7938048 7996416 8009431 8143552 8272608 8363648 8496192 8638464 8652524 8871936 8886376 8951717 9178368 9245856 9426432 9452544 9495744 9522048 9539584 9670468 9823722 10089228 10117176 10258176 10286592 10381312 10564608 10661888 10899312 10929504 10979454 11009868 11030144 11224896 11307432 11328256 12215328 12237824 12327808 12545472 12568576 12603392 12660992 12696064 12978786 13098296 13329564 13452304 13489568 13677568 13715456 14086144 14309376 14505702 14532416 14572672 14639272 14679824 14966528 15076576 15458304 15571968 15597313 15992832 16018862 16287104 16545216 16727296 16992384 17276928 17305048 17432291 17772752 17903434 18356736 18491712 18852864 18905088 18991488 19044096 19079168 19340936 19647444 20178456 20234352 20516352 20573184 20762624 21129216 21323776 21798624 21859008 21958908 22019736 22060288 22449792 22614864 22656512 24028293 24430656 24475648 24655616 25090944 25137152 25206784 25321984 25392128 25957572 26196592 26659128 26855151 26904608 26979136 27355136 27430912 28172288 28618752 29011404 29064832 29145344 29278544 29359648 29933056 30153152 31108453 31143936 31194626 31985664 32037724 32574208 33090432 33454592 33984768 34610096 34864582 35545504 35806868 36713472 36983424 37705728 37810176 37982976 38088192 38681872 39294888 40356912 40468704 41032704 41099489 41146368 41525248 42258432 43597248 43718016 43917816 44039472 44120576 44899584 45229728 45313024 46791939 48056586 48861312 48951296 49311232 50181888 50274304 50643968 50784256 51915144 52296873 52393184 53318256 53710302 53809216 53958272 54710272 54861824 57237504 58022808 58129664 58290688 58557088 58719296 59866112 60306304 62216906 62287872 62389252 63971328 64075448 65148416 66180864 66909184 67969536 69220192 69729164 71091008 71613736 73426944 73966848 75411456 75620352 75965952 76176384 77363744 78589776 80713824 80937408 82065408 82198978 82292736 84516864 87194496 87436032 87835632 88078944 88241152 89799168 90459456 90626048 93325359 93583878 96113172 97722624 97902592 98622464 100363776 101287936 101568512 103830288 104593746 104786368 106636512 107420604 107618432 107916544 109420544 116045616 116259328 116581376 117114176 117438592 119732224 120612608 123298467 124433812 124575744 124778504 128150896 130296832 132361728 133818368 135939072 138440384 139458328 142182016 143227472 146853888 147933696 150822912 151931904 152179189 152352768 154727488 157179552 161427648 161874816 164130816 164397956 164585472 174388992 174872064 175671264 176157888 176482304 179598336 180918912 181252096 186650718 187167756 192226344 195445248 197244928 200727552 202575872 203137024 207660576 209187492 209572736 213273024 214841208 215236864 215833088 232091232 232518656 233162752 234228352 234877184 239464448 241225216 246596934 248867624 249557008 256301792 260593664 264723456 267636736 271878144 276880768 278916656 284364032 286454944 293707776 295867392 296348947 303863808 304358378 304705536 309454976 314359104 322855296 323749632 328261632 328795912 331213529 348777984 349744128 351342528 352315776 352964608 359196672 361837824 362504192 373301436 374335512 384452688 390890496 394489856 401455104 405151744 415321152 418374984 419145472 426546048 429682416 430473728 431666176 456537567 464182464 465037312 466325504 468456704 469754368 478928896 482450432 493193868 497735248 499114016 512603584 521187328 529446912 535273472 543756288 553761536 557833312 568728064 572909888 591734784 592697894 607727616 608716756 609411072 618909952 628718208 645710592 647499264 657591824 662427058 697555968 699488256 702685056 704631552 705929216 718393344 723675648 746602872 748671024 768905376 781780992 788979712 802910208 830642304 836749968 838290944 853092096 859364832 860947456 863332352 889046841 913075134 928364928 930074624 932651008 936913408 939508736 964900864 986387736 993640587 995470496 998228032 1025207168 1042374656 1058893824 1087512576 1107523072 1115666624 1137456128 1145819776 1183469568 1185395788 1215455232 1217433512 1237819904 1257436416 1291421184 1294998528 1315183648 1324854116 1395111936 1398976512 1405370112 1409263104 1436786688 1447351296 1493205744 1497342048 1537810752 1563561984 1605820416 1661284608 1673499936 1676581888 1706184192 1718729664 1721894912 1726664704 1778093682 1826150268 1856729856 1860149248 1873826816 1879017472 1929801728 1972775472 1987281174 1990940992 1996456064 2050414336 2117787648 2215046144 2231333248 2274912256 2291639552 2366939136 2370791576 2434867024 2475639808 2514872832 2582842368 2589997056 2630367296 2649708232 2790223872 2797953024 2810740224 2818526208 2894702592 2986411488 2994684096 3075621504 3127123968 3322569216 3346999872 3353163776 3412368384 3437459328 3443789824 3453329408 3556187364 3652300536 3713459712 3747653632 3758034944 3859603456 3945550944 3974562348 3981881984 3992912128 4100828672 4430092288 4462666496 4549824512 4583279104 4741583152 4869734048 4951279616 5029745664 5165684736 5179994112 5260734592 5299416464 5580447744 5621480448 5630629993 5637052416 5789405184 5972822976 5989368192 6151243008 6645138432 6693999744 6706327552 6824736768 6874918656 6887579648 7112374728 7304601072 7426919424 7495307264 7516069888 7891101888 7949124696 7963763968 7985824256 8201657344 8860184576 8925332992 9099649024 9166558208 9483166304 9739468096 9902559232 10059491328 10331369472 10359988224 10521469184 10598832928 11242960896 11261259986 11274104832 11578810368 11945645952 11978736384 12302486016 13290276864 13387999488 13412655104 13649473536 13749837312 14224749456 14609202144 14853838848 14990614528 15782203776 15898249392 15927527936 15971648512 16403314688 16891889979 17720369152 17850665984 18333116416 18966332608 19478936192 19805118464 20118982656 20662738944 21042938368 21197665856 22485921792 22522519972 22548209664 23891291904 23957472768 24604972032 26580553728 26775998976 27298947072 27499674624 28449498912 29218404288 29707677696 31564407552 31796498784 31855055872 31943297024 32806629376 33783779958 35701331968 36666232832 37932665216 38957872384 40237965312 42085876736 42395331712 44971843584 45045039944 47782583808 47914945536 49209944064 53161107456 53551997952 54999349248 56898997824 58436808576 59415355392 63128815104 63592997568 63710111744 63886594048 65613258752 67567559916 71402663936 73332465664 75865330432 77915744768 84171753472 84790663424 90090079888 95565167616 95829891072 98419888128 107103995904 109998698496 113797995648 116873617152 126257630208 127185995136 127420223488 127773188096 135135119832 142805327872 151730660864 155831489536 168343506944 169581326848 180180159776 191130335232 191659782144 196839776256 214207991808 219997396992 227595991296 233747234304 252515260416 254371990272 254840446976 270270239664 303461321728 311662979072 336687013888 339162653696 360360319552 382260670464 383319564288 428415983616 455191982592 467494468608 505030520832 508743980544 540540479328 606922643456 623325958144 678325307392 720720639104 764521340928 910383965184 934988937216 1010061041664 1017487961088 1081080958656 1213845286912 1246651916288 1356650614784 1441441278208 1820767930368 1869977874432 2034975922176 2162161917312 2427690573824 2713301229568 2882882556416 3641535860736 3739955748864 4069951844352 4324323834624 5765765112832 7283071721472 8139903688704 8648647669248 11531530225664 17297295338496 23063060451328 34594590676992 46126120902656 69189181353984 138378362707968
- Sum of all divisors σ(n): 428928569754048
- Sum of proper divisors (its aliquot sum) s(n): 290550207046080
- 138378362707968 is an abundant number, because the sum of its proper divisors (290550207046080) is greater than itself. Its abundance is 152171844338112
Bases of 138378362707968
- Binary: 111110111011010101110010010011101100000000000002
- Hexadecimal: 0x7DDAB9276000
- Base-36: 1D1U54BZEO
Squares and roots of 138378362707968
- 138378362707968 squared (1383783627079682) is 19148571265737948878050689024
- 138378362707968 cubed (1383783627079683) is 2649747939949659788846356291408288894943232
-
The
square root of 138378362707968 is 11763433.2874364531 -
The
cube root of 138378362707968 is 51723.6775850965
Scales and comparisons
How big is 138378362707968?- 138,378,362,707,968 seconds is equal to 4,400,003 years, 46 weeks, 6 days, 5 hours, 32 minutes, 48 seconds.
-
To count from 1 to 138,378,362,707,968 would take you about eleven million 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 138378362707968 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378362707968
- 138378362707968 backwards is 869707263873831
- The number of decimal digits it has is: 15
- The sum of 138378362707968's digits is 78
- More coming soon!
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"Number 138378362707968 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138378362707968 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138378362707968/
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The information we have on file for 138378362707968 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 138378362707968, math, Factors of 138378362707968, curriculum, school, college, exams, university, Prime factorization of 138378362707968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-eight billion, three hundred sixty-two million, seven hundred seven thousand, nine hundred sixty-eight.