138208843172400
138,208,843,172,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138208843172400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
138208843172400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138208843172400:
24 × 3 × 52 × 7 × 112 × 13 × 1277 × 8191
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 13 × 1277 × 8191)See below for interesting mathematical facts about the number 138208843172400 from the Numbermatics database.
Names of 138208843172400
- Cardinal: 138208843172400 can be written as One hundred thirty-eight trillion, two hundred eight billion, eight hundred forty-three million, one hundred seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.382088431724 × 1014
Factors of 138208843172400
Divisors of 138208843172400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 33 35 39 40 42 44 48 50 52 55 56 60 65 66 70 75 77 78 80 84 88 91 100 104 105 110 112 120 121 130 132 140 143 150 154 156 165 168 175 176 182 195 200 208 210 220 231 240 242 260 264 273 275 280 286 300 308 312 325 330 336 350 363 364 385 390 400 420 429 440 455 462 484 520 525 528 546 550 560 572 600 605 616 624 650 660 700 715 726 728 770 780 825 840 847 858 880 910 924 968 975 1001 1040 1050 1092 1100 1144 1155 1200 1210 1232 1277 1300 1320 1365 1400 1430 1452 1456 1540 1560 1573 1650 1680 1694 1716 1815 1820 1848 1925 1936 1950 2002 2100 2145 2184 2200 2275 2288 2310 2420 2541 2554 2600 2640 2730 2800 2860 2904 3003 3025 3080 3120 3146 3300 3388 3432 3575 3630 3640 3696 3831 3850 3900 4004 4200 4235 4290 4368 4400 4550 4620 4719 4840 5005 5082 5108 5200 5460 5720 5775 5808 6006 6050 6160 6292 6385 6600 6776 6825 6864 7150 7260 7280 7662 7700 7800 7865 8008 8191 8400 8470 8580 8939 9075 9100 9240 9438 9680 10010 10164 10216 10725 10920 11011 11440 11550 12012 12100 12584 12705 12770 13200 13552 13650 14047 14300 14520 15015 15324 15400 15600 15730 16016 16382 16601 16940 17160 17878 18150 18200 18480 18876 19155 20020 20328 20432 21175 21450 21840 22022 23100 23595 24024 24200 24573 25025 25168 25410 25540 26817 27300 28094 28600 29040 30030 30648 30800 31460 31925 32764 33033 33202 33880 34320 35756 36300 36400 37752 38310 39325 40040 40656 40955 42141 42350 42900 44044 44695 46200 47190 48048 48400 49146 49803 50050 50820 51080 53634 54600 55055 56188 57200 57337 60060 61296 62920 63525 63850 65528 66066 66404 67760 70235 71512 72600 75075 75504 76620 78650 80080 81910 83005 84282 84700 85800 88088 89390 90101 92400 94380 95775 98292 98329 99606 100100 101640 102160 106483 107268 109200 110110 112376 114674 116207 117975 120120 122865 125840 127050 127700 131056 132132 132808 134085 140470 143024 145200 150150 153240 154517 157300 163820 165165 166010 168564 169400 171600 172011 176176 178780 180202 182611 188760 191550 196584 196658 199212 200200 203280 204775 210705 212966 214536 220220 223475 224752 229348 232414 235950 240240 245730 249015 254100 255400 264264 265616 268170 270303 275275 280940 286685 294987 300300 306480 309034 314600 319449 327640 330330 332020 337128 338800 344022 348621 351175 357560 360404 365222 377520 383100 393168 393316 398424 400400 409550 415025 421410 425932 429072 440440 446950 450505 458696 463551 464828 471900 491460 491645 498030 508200 510800 528528 532415 536340 540606 547833 550550 561880 573370 581035 589974 600600 614325 618068 629200 630707 638898 655280 660660 664040 670425 674256 688044 697242 702350 715120 720808 730444 745381 766200 772585 786632 796848 819100 825825 830050 842820 851864 860055 880880 893900 901010 913055 917392 927102 929656 943800 982920 983290 991111 996060 1016400 1053525 1064830 1072680 1081212 1081619 1095666 1101100 1123760 1146740 1162070 1171313 1179948 1201200 1228650 1236136 1245075 1261414 1277796 1278277 1321320 1328080 1340850 1351515 1376088 1394484 1404700 1433425 1441616 1460888 1474935 1490762 1532400 1545170 1573264 1597245 1638200 1651650 1660100 1685640 1703728 1720110 1743105 1787800 1802020 1826110 1854204 1859312 1887600 1892121 1965840 1966580 1982222 1992120 2008721 2107050 2129660 2145360 2162424 2163238 2191332 2202200 2236143 2252525 2293480 2317755 2324140 2342626 2359896 2457300 2458225 2472272 2490150 2522828 2555592 2556554 2642640 2662075 2681700 2703030 2739165 2752176 2788968 2809400 2866850 2905175 2921776 2949870 2973333 2981524 3090340 3153535 3194490 3244857 3276400 3303300 3320200 3371280 3440220 3486210 3513939 3575600 3604040 3652220 3708408 3726905 3784242 3834831 3862925 3933160 3964444 3984240 4017442 4214100 4259320 4300275 4324848 4326476 4382664 4404400 4472286 4505050 4565275 4586960 4635510 4648280 4685252 4719792 4914600 4916450 4955555 4980300 5045656 5111184 5113108 5324150 5363400 5406060 5408095 5478330 5577936 5618800 5733700 5810350 5856565 5899740 5946666 5963048 6026163 6180680 6307070 6388980 6391385 6489714 6606600 6640400 6757575 6880440 6937777 6972420 7027878 7208080 7304440 7374675 7416816 7453810 7568484 7669662 7725850 7866320 7928888 7986225 8034884 8199191 8428200 8518640 8600550 8652952 8715525 8765328 8944572 9010100 9130550 9271020 9296560 9370504 9460605 9829200 9832900 9911110 9960600 10043605 10091312 10226216 10459907 10648300 10726800 10812120 10816190 10956660 11180715 11467400 11588775 11620700 11713130 11799480 11893332 11926096 12052326 12361360 12614140 12777960 12782770 12884443 12979428 13213200 13515150 13695825 13760880 13875554 13944840 14055756 14061047 14608880 14749350 14866665 14907620 15136968 15339324 15451700 15767675 15857776 15972450 16069768 16224285 16398382 16856400 17201100 17305904 17431050 17569695 17889144 18020200 18261100 18542040 18634525 18741008 18921210 19174155 19665800 19822220 19921200 20087210 20452432 20813331 20919814 21296600 21624240 21632380 21913320 22361430 22934800 23177550 23241400 23426260 23598960 23786664 24104652 24597573 24777775 25228280 25555920 25565540 25768886 25958856 27030300 27040475 27391650 27751108 27889680 28111512 28122094 29282825 29498700 29733330 29815240 30130815 30273936 30678648 30903400 31379721 31535350 31944900 31956925 32139536 32448570 32796764 34402200 34688885 34862100 35139390 35778288 36040400 36522200 37084080 37269050 37842420 38348310 38653329 39331600 39644440 40174420 40995955 41626662 41839628 42183141 42593200 43264760 43826640 44722860 46355100 46482800 46852520 47303025 47573328 48209304 49195146 49555550 50218025 50456560 51131080 51537772 51917712 52299535 54060600 54080950 54783300 55502216 55903575 56223024 56244188 58565650 58997400 59466660 59630480 60261630 61357296 61806800 62759442 63070700 63889800 63913850 64422215 64897140 65593528 68804400 69377770 69724200 70278780 70305235 73044400 73219349 74333325 74538100 75684840 76696620 77306658 79288880 80348840 81121425 81991910 83253324 83679256 84366282 86529520 87848475 89445720 90191101 92710200 93705040 94606050 95870775 96418608 98390292 99111100 100436050 102262160 103075544 104066655 104599070 108121200 108161900 109566600 111004432 111807150 112488376 115058977 117131300 117994800 118933320 120523260 122987865 125518884 126141400 127779600 127827700 128844430 129794280 131187056 135978791 138755540 139448400 140557560 140610470 146438698 148666650 149076200 150654075 151369680 153393240 154613316 156898605 160697680 162242850 163983820 166506648 167358512 168732564 173444425 175696950 178891440 180382202 185420400 189212100 191741550 193266645 196780584 198222200 200872100 204979775 206151088 208133310 209198140 210915705 216323800 219133200 219658047 223614300 224976752 230117954 234262600 237866640 241046520 245975730 251037768 252282800 255655400 257688860 259588560 261497675 270573303 271957582 277511080 281115120 281220940 292877396 297333300 298152400 301308150 306786480 309226632 313797210 322111075 324485700 327967640 333013296 337465128 345176931 346888850 351393900 351526175 360764404 366096745 378424200 383483100 386533290 393561168 396444400 401744200 407936373 409959550 416266620 418396280 421831410 432647600 439316094 447228600 450955505 460235908 468525200 482093040 491951460 502075536 511310800 515377720 520333275 522995350 541146606 543915164 555022160 562441880 575294885 585754792 594666600 602616300 614939325 618453264 627594420 644222150 648971400 655935280 674930256 679893955 690353862 693777700 702787800 703052350 721528808 732193490 756848400 766966200 773066580 784493025 803488400 805412839 815872746 819919100 832533240 836792560 843662820 878632188 894457200 901911010 920471816 951851537 966333225 983902920 1030755440 1040666550 1045990700 1054578525 1082293212 1087830328 1098290235 1124883760 1150589770 1171509584 1189333200 1205232600 1229878650 1255188840 1265648747 1288444300 1297942800 1352866515 1359787910 1380707724 1387555400 1405575600 1406104700 1443057616 1464386980 1495766701 1533932400 1546133160 1568986050 1610825678 1631745492 1639838200 1665066480 1687325640 1725884655 1757264376 1803822020 1830483725 1840943632 1903703074 1932666450 1967805840 2039681865 2081333100 2091981400 2109157050 2164586424 2175660656 2196580470 2254777525 2301179540 2410465200 2416238517 2459757300 2510377680 2531297494 2576888600 2705733030 2719575820 2761415448 2775110800 2812209400 2855554611 2876474425 2928773960 2991533402 3092266320 3137972100 3221651356 3263490984 3279676400 3374651280 3399469775 3451769310 3514528752 3607644040 3660967450 3796946241 3807406148 3865332900 4027064195 4079363730 4162666200 4183962800 4218314100 4329172848 4393160940 4487300103 4509555050 4602359080 4759257685 4832477034 4919514600 5062594988 5153777200 5411466060 5439151640 5491451175 5522830896 5624418800 5711109222 5752948850 5857547920 5983066804 6275944200 6328243735 6443302712 6526981968 6764332575 6798939550 6903538620 7215288080 7321934900 7478833505 7593892482 7614812296 7730665800 8054128390 8158727460 8325332400 8436628200 8629423275 8786321880 8859541229 8974600206 9019110100 9204718160 9518515370 9664954068 9839029200 10125189976 10198409325 10470366907 10822932120 10878303280 10982902350 11422218444 11505897700 11966133608 12081192585 12551888400 12656487470 12886605424 13528665150 13597879100 13807077240 14277773055 14643869800 14957667010 15187784964 15229624592 15461331600 16108256780 16317454920 16453433711 16873256400 17258846550 17572643760 17719082458 17949200412 18038220200 18984731205 19037030740 19329908136 20135320975 20250379952 20396818650 20940733814 21645864240 21965804700 22436500515 22844436888 23011795400 23796288425 23932267216 24162385170 25312974940 26578623687 27057330300 27195758200 27614154480 28555546110 29287739600 29915334020 30375569928 31411100721 31641218675 32216513560 32634909840 32906867422 34517693100 35438164916 35898400824 36076440400 37394167525 37969462410 38074061480 38659816272 40270641950 40793637300 41881467628 43931609400 44297706145 44873001030 45688873776 46023590800 47592576850 48324770340 49360301133 50625949880 52351834535 53157247374 54114660600 54391516400 57111092220 59830668040 60405962925 60751139856 62822201442 63282437350 64433027120 65813734844 69035386200 70876329832 71388865275 71796801648 74788335050 75938924820 76148122960 80541283900 81587274600 82267168555 83762935256 87863218800 88595412290 89746002060 94923656025 95185153700 96649540680 98720602266 101251899760 104703669070 106314494748 108229321200 112182502575 114222184440 115174035977 119661336080 120811925850 125644402884 126564874700 131627469688 132893118435 138070772400 141752659664 142777730550 149576670100 151877849640 157055503605 161082567800 163174549200 164534337110 167525870512 177190824580 179492004120 189847312050 190370307400 193299081360 197441204532 209407338140 212628989496 221488530725 224365005150 228444368880 230348071954 241623851700 246801505665 251288805768 253129749400 261759172675 263254939376 265786236870 285555461100 299153340200 303755699280 314111007210 322165135600 329068674220 345522107931 354381649160 358984008240 379694624100 380740614800 394882409064 411335842775 418814676280 425257978992 442977061450 448730010300 460696143908 483247703400 493603011330 502577611536 506259498800 523518345350 531572473740 571110922200 575870179885 598306680400 628222014420 658137348440 664465592175 691044215862 708763298320 759389248200 785277518025 789764818128 822671685550 837629352560 885954122900 897460020600 921392287816 966495406800 987206022660 1047036690700 1063144947480 1142221844400 1151740359770 1234007528325 1256444028840 1316274696880 1328931184350 1382088431724 1518778496400 1570555036050 1645343371100 1727610539655 1771908245800 1794920041200 1842784575632 1974412045320 2094073381400 2126289894960 2303480719540 2468015056650 2512888057680 2657862368700 2764176863448 2879350899425 3141110072100 3290686742200 3455221079310 3543816491600 3948824090640 4188146762800 4606961439080 4936030113300 5315724737400 5528353726896 5758701798850 6282220144200 6581373484400 6910442158620 8638052698275 9213922878160 9872060226600 10631449474800 11517403597700 12564440288400 13820884317240 17276105396550 19744120453200 23034807195400 27641768634480 34552210793100 46069614390800 69104421586200 138208843172400
- Sum of all divisors σ(n): 599478814900224
- Sum of proper divisors (its aliquot sum) s(n): 461269971727824
- 138208843172400 is an abundant number, because the sum of its proper divisors (461269971727824) is greater than itself. Its abundance is 323061128555424
Bases of 138208843172400
- Binary: 111110110110011010000010000000010001010001100002
- Hexadecimal: 0x7DB341008A30
- Base-36: 1CZO9KS0MO
Squares and roots of 138208843172400
- 138208843172400 squared (1382088431724002) is 19101684331053058096121760000
- 138208843172400 cubed (1382088431724003) is 2640021694039202509750318452495071424000000
-
The
square root of 138208843172400 is 11756225.7196942251 -
The
cube root of 138208843172400 is 51702.5477000131
Scales and comparisons
How big is 138208843172400?- 138,208,843,172,400 seconds is equal to 4,394,613 years, 36 weeks, 4 days, 13 hours, 40 minutes.
-
To count from 1 to 138,208,843,172,400 would take you about ten million, nine hundred eighty-six thousand, five hundred thirty-four 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 138208843172400 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138208843172400
- 138208843172400 backwards is 004271348802831
- The number of decimal digits it has is: 15
- The sum of 138208843172400's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138208843172400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138208843172400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138208843172400/
Chicago style:
Numbermatics. 2024. "Number 138208843172400 - Facts about the integer". https://numbermatics.com/n/138208843172400/
The information we have on file for 138208843172400 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 138208843172400, math, Factors of 138208843172400, curriculum, school, college, exams, university, Prime factorization of 138208843172400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred eight billion, eight hundred forty-three million, one hundred seventy-two thousand, four hundred.