138432194838840672
138,432,194,838,840,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 138432194838840672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138432194838840672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138432194838840672:
25 × 32 × 72 × 113 × 2934
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 11 × 11 × 293 × 293 × 293 × 293)See below for interesting mathematical facts about the number 138432194838840672 from the Numbermatics database.
Names of 138432194838840672
- Cardinal: 138432194838840672 can be written as One hundred thirty-eight quadrillion, four hundred thirty-two trillion, one hundred ninety-four billion, eight hundred thirty-eight million, eight hundred forty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38432194838840672 × 1017
Factors of 138432194838840672
Divisors of 138432194838840672
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 66 72 77 84 88 96 98 99 112 121 126 132 144 147 154 168 176 196 198 224 231 242 252 264 288 293 294 308 336 352 363 392 396 441 462 484 504 528 539 586 588 616 672 693 726 784 792 847 879 882 924 968 1008 1056 1078 1089 1172 1176 1232 1331 1386 1452 1568 1584 1617 1694 1758 1764 1848 1936 2016 2051 2156 2178 2344 2352 2464 2541 2637 2662 2772 2904 3168 3223 3234 3388 3516 3528 3696 3872 3993 4102 4312 4356 4688 4704 4851 5082 5274 5324 5544 5808 5929 6153 6446 6468 6776 7032 7056 7392 7623 7986 8204 8624 8712 9317 9376 9669 9702 10164 10548 10648 11088 11616 11858 11979 12306 12892 12936 13552 14064 14112 14357 15246 15972 16408 17248 17424 17787 18459 18634 19338 19404 20328 21096 21296 22176 22561 23716 23958 24612 25784 25872 27104 27951 28128 28714 29007 30492 31944 32816 34848 35453 35574 36918 37268 38676 38808 40656 42192 42592 43071 45122 47432 47916 49224 51568 51744 53361 55902 57428 58014 60984 63888 65219 65632 67683 70906 71148 73836 74536 77352 77616 81312 83853 84384 85849 86142 90244 94864 95832 98448 103136 106359 106722 111804 114856 116028 121968 127776 129213 130438 135366 141812 142296 147672 149072 154704 155232 157927 167706 171698 172284 180488 189728 191664 195657 196896 203049 212718 213444 223608 229712 232056 243936 248171 257547 258426 260876 270732 283624 284592 295344 298144 309408 315854 319077 335412 343396 344568 360976 383328 389983 391314 406098 425436 426888 447216 459424 464112 473781 496342 515094 516852 521752 541464 567248 569184 586971 590688 600943 631708 638154 670824 686792 689136 721952 744513 772641 779966 782628 812196 850872 853776 894432 928224 944339 947562 992684 1030188 1033704 1043504 1082928 1134496 1169949 1173942 1201886 1263416 1276308 1341648 1373584 1378272 1421343 1489026 1545282 1559932 1565256 1624392 1701744 1707552 1737197 1802829 1888678 1895124 1985368 2060376 2067408 2087008 2165856 2233539 2339898 2347884 2403772 2526832 2552616 2683296 2729881 2747168 2833017 2842686 2978052 3090564 3119864 3130512 3248784 3403488 3474394 3509847 3605658 3777356 3790248 3970736 4120752 4134816 4206601 4467078 4679796 4695768 4807544 5053664 5105232 5211591 5408487 5459762 5666034 5685372 5956104 6181128 6239728 6261024 6497568 6610373 6948788 7019694 7211316 7554712 7580496 7941472 8189643 8241504 8413202 8499051 8934156 9359592 9391536 9615088 10210464 10387729 10423182 10816974 10919524 11332068 11370744 11912208 12362256 12479456 12619803 13220746 13897576 14039388 14422632 15109424 15160992 15634773 16379286 16826404 16998102 17868312 18719184 18783072 19109167 19230176 19831119 20775458 20846364 21633948 21839048 22664136 22741488 23824416 24568929 24724512 25153757 25239606 26441492 27795152 28078776 28845264 30218848 31163187 31269546 32758572 33652808 33996204 35736624 37438368 37859409 38218334 39662238 41550916 41692728 43267896 43678096 45328272 45482976 46272611 49137858 50307514 50479212 52882984 55590304 56157552 57327501 57690528 59493357 62326374 62539092 65517144 67305616 67992408 71473248 72714103 75461271 75718818 76436668 79324476 83101832 83385456 86535792 87356192 90656544 92545222 93489561 98275716 100615028 100958424 105765968 112315104 114265019 114655002 118986714 124652748 125078184 131034288 134611232 135984816 138817833 145428206 150922542 151437636 152873336 158648952 166203664 166770912 171982503 173071584 176076299 185090444 186979122 196551432 201230056 201916848 211531936 218142309 226383813 228530038 229310004 237973428 249305496 250156368 262068576 271969632 276691327 277635666 290856412 301845084 302875272 305746672 317297904 332407328 342795057 343965006 352152598 370180888 373958244 393102864 402460112 403833696 416453499 436284618 452767626 457060076 458620008 475946856 498610992 500312736 508998721 528228897 553382654 555271332 581712824 603690168 605750544 611493344 634595808 654426927 685590114 687930012 704305196 740361776 747916488 786205728 799855133 804920224 830073981 832906998 872569236 905535252 914120152 917240016 951893712 997221984 1017997442 1028385171 1056457794 1106765308 1110542664 1163425648 1207380336 1211501088 1232534093 1308853854 1371180228 1375860024 1408610392 1480723552 1495832976 1526996163 1584686691 1599710266 1660147962 1665813996 1745138472 1811070504 1828240304 1834480032 1903787424 1936839289 2035994884 2056770342 2112915588 2213530616 2221085328 2326851296 2399565399 2414760672 2465068186 2490221943 2617707708 2742360456 2751720048 2817220784 2991665952 3043604597 3053992326 3169373382 3199420532 3320295924 3331627992 3490276944 3622141008 3656480608 3697602279 3873678578 4071989768 4113540684 4225831176 4427061232 4442170656 4580988489 4799130798 4930136372 4980443886 5235415416 5484720912 5503440096 5598985931 5634441568 5810517867 6087209194 6107984652 6338746764 6398841064 6640591848 6663255984 6980553888 7198696197 7244282016 7370050801 7395204558 7747357156 8143979536 8227081368 8451662352 8854122464 9130813791 9161976978 9598261596 9860272744 9960887772 10470830832 10969441824 11092806837 11197971862 11621035734 12174418388 12215969304 12677493528 12797682128 13281183696 13326511968 13557875023 14397392394 14740101602 14790409116 15494714312 16287959072 16454162736 16796957793 16903324704 17431553601 18261627582 18323953956 19196523192 19720545488 19921775544 20941661664 21305232179 22110152403 22185613674 22395943724 23242071468 24348836776 24431938608 25354987056 25595364256 26562367392 27115750046 27392441373 28794784788 29480203204 29580818232 30989428624 32908325472 33479650567 33593915586 34863107202 36523255164 36647907912 38393046384 39441090976 39843551088 40673625069 42610464358 44220304806 44371227348 44791887448 46484142936 48697673552 48863877216 50390873379 50709974112 51590355607 54231500092 54784882746 57589569576 58960406408 59161636464 61978857248 63915696537 66330457209 66959301134 67187831172 69726214404 73046510328 73295815824 76786092768 79687102176 81070558811 81347250138 85220928716 88440609612 88742454696 89583774896 92968285872 97395347104 100438951701 100781746758 103180711214 108463000184 109569765492 115179139152 117920812816 118323272928 122020875207 127831393074 132660914418 133918602268 134375662344 139452428808 146093020656 146591631648 149136625253 154771066821 162141117622 162694500276 170441857432 176881219224 177484909392 179167549792 185936571744 191747089611 200877903402 201563493516 206361422428 216926000368 219139530984 230358278304 234357553969 235841625632 243211676433 244041750414 255662786148 265321828836 267837204536 268751324688 278904857616 292186041312 298273250506 301316855103 309542133642 324282235244 325389000552 340883714864 353762438448 354969818784 361132489249 383494179222 401755806804 403126987032 412722844856 433852000736 438279061968 447409875759 464313200463 468715107938 486423352866 488083500828 511325572296 530643657672 535674409072 537502649376 557809715232 567493911677 596546501012 602633710206 619084267284 648564470488 650778001104 681767429728 703072661907 707524876896 722264978498 729635029299 766988358444 803511613608 806253974064 825445689712 876558123936 891776146921 894819751518 928626400926 937430215876 972846705732 976167001656 1022651144592 1061287315344 1071348818144 1083397467747 1134987823354 1193093002024 1205267420412 1238168534568 1297128940976 1301556002208 1342229627277 1406145323814 1444529956996 1459270058598 1533976716888 1607023227216 1612507948128 1640502877783 1650891379424 1702481735031 1783552293842 1789639503036 1857252801852 1874860431752 1945693411464 1952334003312 2045302289184 2109217985721 2122574630688 2166794935494 2269975646708 2386186004048 2410534840824 2476337069136 2594257881952 2675328440763 2684459254554 2812290647628 2889059913992 2918540117196 3067953433776 3214046454432 3250192403241 3281005755566 3404963470062 3567104587684 3579279006072 3714505603704 3749720863504 3891386822928 3904668006624 3972457381739 4218435971442 4333589870988 4539951293416 4772372008096 4821069681648 4921508633349 4952674138272 5107445205093 5350656881526 5368918509108 5624581295256 5778119827984 5837080234392 6135906867552 6242433028447 6500384806482 6562011511132 6809926940124 7134209175368 7158558012144 7429011207408 7499441727008 7782773645856 7944914763478 8025985322289 8436871942884 8667179741976 9079902586832 9642139363296 9809537616131 9843017266698 10214890410186 10701313763052 10737837018216 11249162590512 11556239655968 11674160468784 11917372145217 12484866056894 13000769612964 13124023022264 13619853880248 14268418350736 14317116024288 14764525900047 14858022414816 15889829526956 16051970644578 16873743885768 17334359483952 18159805173664 18727299085341 19619075232262 19686034533396 20429780820372 21402627526104 21475674036432 22498325181024 23348320937568 23834744290434 24969732113788 26001539225928 26248046044528 27239707760496 28536836701472 29428612848393 29529051800094 31779659053912 32103941289156 33747487771536 34668718967904 35752116435651 37454598170682 39238150464524 39372069066792 40859561640744 42805255052208 42951348072864 43697031199129 47669488580868 49939464227576 52003078451856 52496092089056 54479415520992 56181897256023 58857225696786 59058103600188 63559318107824 64207882578312 67494975543072 68666763312917 71504232871302 74909196341364 78476300929048 78744138133584 81719123281488 85610510104416 87394062398258 88285838545179 95338977161736 99878928455152 104006156903712 112363794512046 117714451393572 118116207200376 127118636215648 128415765156624 131091093597387 137333526625834 143008465742604 149818392682728 156952601858096 157488276267168 163438246562976 174788124796516 176571677090358 190677954323472 199757856910304 206000289938751 224727589024092 235428902787144 236232414400752 256831530313248 262182187194774 274667053251668 286016931485208 299636785365456 313905203716192 349576249593032 353143354180716 381355908646944 393273280792161 412000579877502 449455178048184 470857805574288 472464828801504 480667343190419 524364374389548 549334106503336 572033862970416 599273570730912 618000869816253 699152499186064 706286708361432 786546561584322 824001159755004 898910356096368 941715611148576 961334686380838 1048728748779096 1098668213006672 1144067725940832 1236001739632506 1398304998372128 1412573416722864 1442002029571257 1573093123168644 1648002319510008 1797820712192736 1922669372761676 2097457497558192 2197336426013344 2472003479265012 2825146833445728 2884004059142514 3146186246337288 3296004639020016 3845338745523352 4194914995116384 4326006088713771 4944006958530024 5768008118285028 6292372492674576 6592009278040032 7690677491046704 8652012177427542 9888013917060048 11536016236570056 12584744985349152 15381354982093408 17304024354855084 19776027834120096 23072032473140112 34608048709710168 46144064946280224 69216097419420336 138432194838840672
- Sum of all divisors σ(n): 505423096883562312
- Sum of proper divisors (its aliquot sum) s(n): 366990902044721640
- 138432194838840672 is an abundant number, because the sum of its proper divisors (366990902044721640) is greater than itself. Its abundance is 228558707205880968
Bases of 138432194838840672
- Binary: 1111010111100111101011001000001101101100011000101011000002
- Hexadecimal: 0x1EBCF5906D8C560
- Base-36: 11V248DDOYG0
Squares and roots of 138432194838840672
- 138432194838840672 squared (1384321948388406722) is 19163472567898745986442409001411584
- 138432194838840672 cubed (1384321948388406723) is 2652841568308137583461666643935407926178238071144448
-
The
square root of 138432194838840672 is 372064772.3701354019 -
The
cube root of 138432194838840672 is 517303.8391967411
Scales and comparisons
How big is 138432194838840672?- 138,432,194,838,840,672 seconds is equal to 4,401,715,596 years, 51 weeks, 9 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,432,194,838,840,672 would take you about thirteen billion, two hundred five million, one hundred forty-six thousand, seven hundred ninety 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 138432194838840672 cubic inches would be around 43108.7 feet tall.
Recreational maths with 138432194838840672
- 138432194838840672 backwards is 276048838491234831
- The number of decimal digits it has is: 18
- The sum of 138432194838840672's digits is 81
- More coming soon!
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"Number 138432194838840672 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138432194838840672 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138432194838840672/
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The information we have on file for 138432194838840672 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 138432194838840672, math, Factors of 138432194838840672, curriculum, school, college, exams, university, Prime factorization of 138432194838840672, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred thirty-two trillion, one hundred ninety-four billion, eight hundred thirty-eight million, eight hundred forty thousand, six hundred seventy-two.