138988965068800
138,988,965,068,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138988965068800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1710 divisors.
138988965068800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 138988965068800:
218 × 52 × 74 × 112 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 73)See below for interesting mathematical facts about the number 138988965068800 from the Numbermatics database.
Names of 138988965068800
- Cardinal: 138988965068800 can be written as One hundred thirty-eight trillion, nine hundred eighty-eight billion, nine hundred sixty-five million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.389889650688 × 1014
Factors of 138988965068800
Divisors of 138988965068800
- Number of divisors d(n): 1710
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 73 77 80 88 98 100 110 112 121 128 140 146 154 160 175 176 196 200 220 224 242 245 256 275 280 292 308 320 343 350 352 365 385 392 400 440 448 484 490 511 512 539 550 560 584 605 616 640 686 700 704 730 770 784 800 803 847 880 896 968 980 1022 1024 1078 1100 1120 1168 1210 1225 1232 1280 1372 1400 1408 1460 1540 1568 1600 1606 1694 1715 1760 1792 1825 1925 1936 1960 2044 2048 2156 2200 2240 2336 2401 2420 2450 2464 2555 2560 2695 2744 2800 2816 2920 3025 3080 3136 3200 3212 3388 3430 3520 3577 3584 3650 3773 3850 3872 3920 4015 4088 4096 4235 4312 4400 4480 4672 4802 4840 4900 4928 5110 5120 5390 5488 5600 5621 5632 5840 5929 6050 6160 6272 6400 6424 6776 6860 7040 7154 7168 7300 7546 7700 7744 7840 8030 8176 8192 8470 8575 8624 8800 8833 8960 9344 9604 9680 9800 9856 10220 10240 10780 10976 11200 11242 11264 11680 11858 12005 12100 12320 12544 12775 12800 12848 13475 13552 13720 14080 14308 14336 14600 15092 15400 15488 15680 16060 16352 16384 16940 17150 17248 17600 17666 17885 17920 18688 18865 19208 19360 19600 19712 20075 20440 20480 21175 21560 21952 22400 22484 22528 23360 23716 24010 24200 24640 25039 25088 25550 25600 25696 26411 26950 27104 27440 28105 28160 28616 28672 29200 29645 30184 30800 30976 31360 32120 32704 32768 33880 34300 34496 35200 35332 35770 35840 37376 37730 38416 38720 39200 39347 39424 40150 40880 40960 41503 42350 43120 43904 44165 44800 44968 45056 46720 47432 48020 48400 49280 50078 50176 51100 51200 51392 52822 53900 54208 54880 56210 56320 57232 57344 58400 59290 60025 60368 61600 61831 61952 62720 64240 65408 65536 67760 68600 68992 70400 70664 71540 71680 74752 75460 76832 77440 78400 78694 78848 80300 81760 81920 83006 84700 86240 87808 88330 89425 89600 89936 90112 93440 94325 94864 96040 96800 98560 100156 100352 102200 102400 102784 105644 107800 108416 109760 112420 112640 114464 114688 116800 118580 120050 120736 123200 123662 123904 125195 125440 128480 130816 131072 132055 135520 137200 137984 140525 140800 141328 143080 143360 148225 149504 150920 153664 154880 156800 157388 157696 160600 163520 163840 166012 169400 172480 175273 175616 176660 178850 179200 179872 180224 186880 188650 189728 192080 193600 196735 197120 200312 200704 204400 204800 205568 207515 211288 215600 216832 219520 220825 224840 225280 228928 229376 233600 237160 240100 241472 246400 247324 247808 250390 250880 256960 261632 262144 264110 271040 274400 275429 275968 281050 281600 282656 286160 286720 290521 296450 299008 301840 307328 309155 309760 313600 314776 315392 321200 327040 327680 332024 338800 344960 350546 351232 353320 357700 358400 359744 360448 373760 377300 379456 384160 387200 393470 394240 400624 401408 408800 409600 411136 415030 422576 431200 432817 433664 439040 441650 449680 450560 457856 458752 467200 474320 480200 482944 492800 494648 495616 500780 501760 513920 523264 528220 542080 548800 550858 551936 562100 563200 565312 572320 573440 581042 592900 598016 603680 614656 618310 619520 625975 627200 629552 630784 642400 654080 655360 660275 664048 677600 689920 701092 702464 706640 715400 716800 719488 720896 747520 754600 758912 768320 774400 786940 788480 801248 802816 817600 819200 822272 830060 845152 862400 865634 867328 876365 878080 883300 899360 901120 915712 917504 934400 948640 960400 965888 983675 985600 989296 991232 1001560 1003520 1027840 1037575 1046528 1056440 1084160 1097600 1101716 1103872 1124200 1126400 1130624 1144640 1146880 1162084 1185800 1196032 1207360 1229312 1236620 1239040 1251950 1254400 1259104 1261568 1284800 1308160 1310720 1320550 1328096 1355200 1377145 1379840 1402184 1404928 1413280 1430800 1433600 1438976 1441792 1452605 1495040 1509200 1517824 1536640 1545775 1548800 1573880 1576960 1602496 1605632 1635200 1638400 1644544 1660120 1690304 1724800 1731268 1734656 1752730 1756160 1766600 1798720 1802240 1831424 1835008 1868800 1897280 1920800 1928003 1931776 1967350 1971200 1978592 1982464 2003120 2007040 2055680 2075150 2093056 2112880 2164085 2168320 2195200 2203432 2207744 2248400 2252800 2261248 2289280 2293760 2324168 2371600 2392064 2414720 2458624 2473240 2478080 2503900 2508800 2518208 2523136 2569600 2616320 2641100 2656192 2710400 2754290 2759680 2804368 2809856 2826560 2861600 2867200 2877952 2883584 2905210 2990080 3018400 3029719 3035648 3073280 3091550 3097600 3147760 3153920 3204992 3211264 3270400 3276800 3289088 3320240 3380608 3449600 3462536 3469312 3505460 3512320 3533200 3597440 3604480 3662848 3737600 3794560 3841600 3856006 3863552 3934700 3942400 3957184 3964928 4006240 4014080 4111360 4150300 4186112 4225760 4328170 4336640 4381825 4390400 4406864 4415488 4496800 4505600 4522496 4578560 4587520 4648336 4743200 4784128 4829440 4917248 4946480 4956160 5007800 5017600 5036416 5046272 5139200 5232640 5282200 5312384 5420800 5508580 5519360 5608736 5619712 5653120 5723200 5734400 5755904 5810420 5980160 6036800 6059438 6071296 6146560 6183100 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46047232 46483360 47841280 48200075 48294400 48475504 48570368 49172480 49464800 49561600 50364160 50462720 51279872 52326400 52625408 53123840 54089728 55085800 55193600 55400576 55508992 56087360 56197120 56531200 57559040 58104200 58605568 59801600 60594380 60712960 61465600 61696096 61816832 62955200 63078400 63314944 64099840 64225280 65781760 66404800 66977792 67612160 69250720 69386240 70109200 70246400 70509824 70647808 71948800 72089600 72359936 73256960 74373376 75742975 75891200 77120120 77271040 78675968 79143680 79298560 80124800 80281600 80582656 82227200 83722240 84515200 84832132 84998144 86563400 86732800 88137280 88309760 89739776 89915392 90449920 91571200 92094464 92966720 95682560 96400150 96588800 96951008 97140736 98344960 98929600 99123200 100728320 100925440 102559744 104652800 105250816 106040165 106247680 108179456 110171600 110387200 110801152 111017984 112174720 112394240 113062400 115118080 116208400 117211136 119603200 121188760 121425920 122931200 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334888960 338060800 339328528 339992576 346253600 346931200 352549120 353239040 358959104 361799680 366284800 368377856 371866880 385600600 386355200 387804032 388562944 393379840 395718400 396492800 402913280 410238976 418611200 424160660 424990720 432717824 440686400 441548800 443204608 448698880 449576960 452249600 460472320 464833600 468844544 478412800 484755040 485703680 491724800 493568768 494534656 503641600 504627200 506519552 512798720 526254080 530200825 531238400 540897280 554005760 555089920 560873600 561971200 564078592 575590400 578879488 586055680 594987008 605943800 607129600 616960960 618168320 629407744 633149440 640998400 644661248 657817600 669777920 676121600 678657056 679985152 692507200 693862400 705098240 706478080 717918208 723599360 732569600 736755712 743733760 771201200 772710400 775608064 777125888 786759680 791436800 792985600 805826560 820477952 837222400 848321320 849981440 865435648 881372800 883097600 886409216 897397760 904499200 920944640 929667200 937689088 969510080 971407360 983449600 987137536 989069312 1007283200 1013039104 1025597440 1052508160 1060401650 1062476800 1081794560 1108011520 1110179840 1121747200 1123942400 1128157184 1151180800 1157758976 1172111360 1189974016 1211887600 1214259200 1233921920 1236336640 1266298880 1281996800 1289322496 1315635200 1352243200 1357314112 1359970304 1385014400 1387724800 1410196480 1435836416 1447198720 1465139200 1473511424 1487467520 1542402400 1545420800 1551216128 1554251776 1573519360 1582873600 1611653120 1640955904 1674444800 1696642640 1699962880 1730871296 1762745600 1766195200 1772818432 1794795520 1808998400 1841889280 1859334400 1939020160 1942814720 1966899200 1974275072 2014566400 2026078208 2051194880 2120803300 2124953600 2163589120 2216023040 2243494400 2247884800 2256314368 2302361600 2315517952 2344222720 2379948032 2423775200 2428518400 2467843840 2472673280 2532597760 2563993600 2578644992 2631270400 2704486400 2714628224 2719940608 2770028800 2775449600 2820392960 2871672832 2894397440 2930278400 2974935040 3084804800 3090841600 3102432256 3147038720 3165747200 3223306240 3281911808 3348889600 3393285280 3399925760 3461742592 3525491200 3532390400 3545636864 3589591040 3617996800 3683778560 3718668800 3878040320 3885629440 3933798400 3948550144 4029132800 4052156416 4102389760 4241606600 4249907200 4327178240 4432046080 4486988800 4512628736 4604723200 4688445440 4759896064 4847550400 4857036800 4935687680 4945346560 5065195520 5127987200 5157289984 5262540800 5408972800 5429256448 5439881216 5540057600 5550899200 5640785920 5743345664 5788794880 5860556800 5949870080 6169609600 6181683200 6204864512 6331494400 6446612480 6563823616 6786570560 6799851520 6923485184 7050982400 7091273728 7179182080 7235993600 7367557120 7437337600 7756080640 7771258880 7867596800 7897100288 8058265600 8104312832 8204779520 8483213200 8499814400 8654356480 8864092160 8973977600 9025257472 9209446400 9519792128 9695100800 9714073600 9871375360 10130391040 10255974400 10314579968 10817945600 10858512896 10879762432 11080115200 11281571840 11486691328 11577589760 11721113600 11899740160 12339219200 12363366400 12409729024 12662988800 12893224960 13573141120 13599703040 14101964800 14182547456 14358364160 14471987200 14874675200 15512161280 15735193600 15794200576 16116531200 16208625664 16409559040 16966426400 16999628800 17308712960 17728184320 17947955200 18050514944 18418892800 19039584256 19390201600 19428147200 19742750720 20260782080 20511948800 21635891200 21717025792 22160230400 22563143680 22973382656 23442227200 23799480320 24678438400 24726732800 24819458048 25325977600 25786449920 27146282240 27199406080 28203929600 28365094912 28716728320 28943974400 29749350400 31024322560 31588401152 32233062400 32819118080 33932852800 33999257600 34617425920 35456368640 35895910400 36101029888 36837785600 38079168512 38780403200 38856294400 39485501440 40521564160 41023897600 43271782400 43434051584 44320460800 45126287360 45946765312 47598960640 49356876800 49638916096 50651955200 51572899840 54292564480 54398812160 56407859200 56730189824 57433456640 57887948800 59498700800 62048645120 63176802304 64466124800 67865705600 67998515200 70912737280 71791820800 72202059776 76158337024 77560806400 78971002880 81043128320 82047795200 86543564800 86868103168 88640921600 90252574720 95197921280 98713753600 99277832192 101303910400 108585128960 112815718400 113460379648 114866913280 118997401600 124097290240 126353604608 128932249600 135731411200 135997030400 141825474560 143583641600 155121612800 157942005760 164095590400 173087129600 173736206336 177281843200 180505149440 190395842560 197427507200 198555664384 202607820800 217170257920 225631436800 229733826560 237994803200 248194580480 252707209216 257864499200 271462822400 271994060800 283650949120 287167283200 310243225600 315884011520 347472412672 354563686400 361010298880 380791685120 394855014400 397111328768 405215641600 434340515840 451262873600 475989606400 496389160960 505414418432 542925644800 567301898240 574334566400 620486451200 631768023040 694944825344 709127372800 789710028800 794222657536 868681031680 902525747200 951979212800 992778321920 1085851289600 1148669132800 1240972902400 1263536046080 1389889650688 1418254745600 1579420057600 1737362063360 1805051494400 1903958425600 1985556643840 2171702579200 2481945804800 2527072092160 2779779301376 2836509491200 3158840115200 3474724126720 3971113287680 4343405158400 4963891609600 5559558602752 6317680230400 6949448253440 8686810316800 9927783219200 12635360460800 13898896506880 17373620633600 19855566438400 27797793013760 34747241267200 69494482534400 138988965068800
- Sum of all divisors σ(n): 448050795379474
- Sum of proper divisors (its aliquot sum) s(n): 309061830310674
- 138988965068800 is an abundant number, because the sum of its proper divisors (309061830310674) is greater than itself. Its abundance is 170072865241874
Bases of 138988965068800
- Binary: 111111001101000111000111110010000000000000000002
- Hexadecimal: 0x7E68E3E40000
- Base-36: 1D9MND7OCG
Squares and roots of 138988965068800
- 138988965068800 squared (1389889650688002) is 19317932410896106588733440000
- 138988965068800 cubed (1389889650688003) is 2684979433059478327167393619794460672000000
-
The
square root of 138988965068800 is 11789358.1279389423 -
The
cube root of 138988965068800 is 51799.6438446415
Scales and comparisons
How big is 138988965068800?- 138,988,965,068,800 seconds is equal to 4,419,419 years, 8 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,988,965,068,800 would take you about eleven million, forty-eight thousand, five hundred forty-seven 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 138988965068800 cubic inches would be around 4316.6 feet tall.
Recreational maths with 138988965068800
- 138988965068800 backwards is 008860569889831
- The number of decimal digits it has is: 15
- The sum of 138988965068800's digits is 79
- More coming soon!
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"Number 138988965068800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138988965068800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138988965068800/
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The information we have on file for 138988965068800 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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