138189740256750
138,189,740,256,750 is an even composite number composed of seven prime numbers multiplied together.
138189740256750 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138189740256750:
2 × 3 × 53 × 72 × 132 × 532 × 892
(2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 53 × 53 × 89 × 89)See below for interesting mathematical facts about the number 138189740256750 from the Numbermatics database.
Names of 138189740256750
- Cardinal: 138189740256750 can be written as One hundred thirty-eight trillion, one hundred eighty-nine billion, seven hundred forty million, two hundred fifty-six thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3818974025675 × 1014
Factors of 138189740256750
Divisors of 138189740256750
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 49 50 53 65 70 75 78 89 91 98 105 106 125 130 147 150 159 169 175 178 182 195 210 245 250 265 267 273 294 318 325 338 350 371 375 390 445 455 490 507 525 530 534 546 623 637 650 689 735 742 750 795 845 875 890 910 975 1014 1050 1113 1157 1183 1225 1246 1274 1325 1335 1365 1378 1470 1590 1625 1690 1750 1855 1869 1911 1950 2067 2225 2226 2275 2314 2366 2450 2535 2597 2625 2650 2670 2730 2809 3115 3185 3250 3445 3471 3549 3675 3710 3738 3822 3975 4134 4225 4361 4450 4550 4717 4823 4875 5070 5194 5250 5565 5618 5785 5915 6125 6230 6370 6625 6675 6825 6890 6942 7098 7350 7791 7921 7950 8099 8281 8427 8450 8722 8957 9275 9345 9434 9555 9646 9750 10335 11125 11130 11375 11570 11830 12250 12675 12985 13083 13250 13350 13650 14045 14151 14469 15041 15575 15582 15842 15925 16198 16562 16854 17225 17355 17745 17914 18375 18550 18690 19110 19663 19875 20670 21125 21805 22250 22750 23585 23763 24115 24297 24843 25350 25970 26166 26871 27825 28090 28302 28925 28938 29575 30082 31150 31850 33019 33375 33761 34125 34450 34710 35490 36517 36750 38955 39326 39605 39750 40495 41405 42135 42250 43610 44785 45123 46375 46725 47170 47526 47775 48230 48594 49686 51675 53742 55447 55650 56693 57850 58989 59150 61321 62699 63375 64925 65415 66038 66750 67522 68250 70225 70755 72345 73034 75205 77875 77910 79210 79625 80990 82810 84270 86125 86775 88725 89570 90246 92750 93450 95550 98315 99057 101283 102973 103350 105287 109025 109551 110894 113386 117925 117978 118815 120575 121485 122642 124215 125398 126750 129850 130830 134355 137641 139125 140450 141510 144625 144690 147875 150410 155750 159250 165095 166341 168805 170079 172250 173550 177450 182585 183963 188097 194775 196630 198025 198114 202475 202566 205946 207025 210574 210675 218050 219102 223925 225615 231133 233625 235850 237630 238875 241150 242970 248430 250001 255619 258375 268710 275282 277235 278250 283465 289250 294945 295750 306605 308919 313495 315861 324625 327075 330190 332682 337610 340158 351125 353775 361725 365170 367926 376025 376194 388129 389550 396050 404950 412923 414050 419813 421350 429247 433875 438893 443625 447850 451230 462266 467250 474721 477750 491575 495285 500002 506415 511238 514865 516750 526435 545125 547755 554470 566930 589625 589890 594075 602875 607425 613210 617838 621075 626990 631722 649250 654150 671775 688205 693399 702250 707550 720811 723450 737009 750003 752050 766857 776258 797173 825475 825846 831705 839626 844025 850395 858494 867750 877786 887250 912925 919815 940485 949442 973875 983150 990125 990570 1012375 1012830 1029730 1035125 1052870 1053375 1090250 1095510 1119625 1128075 1155665 1164387 1179250 1188150 1205750 1214850 1242150 1250005 1259439 1278095 1287741 1316679 1338649 1343550 1376410 1386175 1386798 1417325 1424163 1441622 1474018 1474725 1500006 1533025 1533714 1544595 1567475 1579305 1594346 1635375 1650950 1663410 1688050 1700790 1750007 1768875 1789333 1808625 1825850 1839630 1880125 1880970 1940645 1947750 1980250 2024750 2064615 2070250 2099065 2106750 2146235 2162433 2194465 2211027 2239250 2256150 2311330 2328774 2373605 2391519 2457875 2476425 2500010 2518878 2532075 2556190 2574325 2575482 2632175 2633358 2677298 2738775 2772350 2834650 2848326 2938691 2949450 2970375 3004729 3037125 3066050 3089190 3105375 3134950 3158610 3250013 3270750 3323047 3358875 3441025 3466995 3500014 3537750 3578666 3604055 3617250 3685045 3750015 3760250 3834285 3881290 3985865 4015947 4127375 4129230 4158525 4198130 4220125 4251975 4292470 4324866 4388930 4422054 4564625 4599075 4702425 4747210 4783038 4915750 4952850 5045677 5064150 5148650 5250021 5264350 5367999 5457569 5477550 5580211 5640375 5778325 5821935 5877382 5940750 6009458 6074250 6210750 6250025 6297195 6390475 6438705 6500026 6583395 6646094 6693245 6717750 6882050 6930875 6933990 7086625 7120815 7208110 7370090 7373625 7500030 7665125 7668570 7722975 7837375 7896525 7971730 8031894 8254750 8317050 8440250 8503950 8750035 8816073 8946665 9014187 9129250 9198150 9370543 9404850 9703225 9750039 9969141 10091354 10323075 10495325 10500042 10731175 10735998 10812165 10915138 10972325 11055135 11160422 11280750 11556650 11643870 11868025 11957595 12250049 12382125 12500050 12594390 12660375 12780950 12871625 12877410 13160875 13166790 13386490 13693875 13861750 14173250 14241630 14693455 14747250 15023645 15137031 15330250 15445950 15674750 15793050 16250065 16372707 16615235 16740633 17205125 17334975 17500070 17632146 17893330 18020275 18028374 18425225 18741086 18750075 19171425 19406450 19500078 19929325 19938282 20079735 20570837 20646150 20792625 20990650 21259875 21462350 21624330 21944650 22110270 22250089 22750091 22995375 23261329 23512125 23736050 23915190 24500098 24764250 25228385 25320750 25743250 26250105 26321750 26839995 27287845 27387750 27901055 28111629 28891625 29109675 29386910 30047290 30274062 31250125 31485975 31952375 32193525 32500130 32745414 32916975 33230470 33466225 33481266 34410250 34669950 35604075 36040550 36750147 36850450 37500150 38202983 38342850 38614875 39061477 39482625 39858650 40159470 41141674 41585250 42250169 42519750 43750175 44080365 44500178 44733325 45070935 45500182 45990750 46522658 46852715 47024250 48516125 48750195 49845705 50456770 51615375 52476625 52500210 53655875 53679990 54060825 54575690 54861625 55275675 55802110 56223258 57783250 58219350 59340125 59787975 61250245 61712511 62500250 62971950 63904750 64387050 65593801 65833950 66750267 66932450 68250273 69783987 70948397 71208150 73467275 73500294 75118225 75685155 76405966 77229750 78122954 78965250 81250325 81863535 83076175 83703165 84500338 86674875 87500350 88160730 89466650 90101375 90141870 92126125 93705430 93750375 95857125 97032250 97500390 99646625 99691410 100398675 102854185 103230750 104953250 107311750 108121650 109723250 110551350 111250445 113750455 114608949 116306645 117184431 118680250 119575950 122500490 123425022 126141925 126750507 131187602 131250525 133500534 134199975 136439225 136500546 139505275 139567974 140558145 141896794 145548375 146934550 150236450 151370310 155750623 157429875 159250637 160967625 162500650 163727070 164584875 166152350 167331125 167406330 173349750 178020375 180202750 183750735 184252250 187500750 191014915 191714250 195307385 196781403 199293250 200797350 205708370 211250845 212845191 218750875 220401825 222500890 223666625 225354675 227500910 229217898 232613290 234263575 234368862 243750975 249228525 252283850 253501014 262501050 267420881 268399950 270304125 272878450 276378375 279010550 281116290 289251157 291096750 295751183 298939875 306251225 308562555 311501246 314859750 318501274 321935250 327969005 329169750 333751335 334662250 341251365 348919935 354741985 356040750 367336375 367501470 375591125 378425775 382029830 390614770 393562806 406251625 409317675 415380875 418515825 422501690 425690382 437501750 440803650 447333250 450709350 467251869 468527150 477751911 487501950 496638779 498457050 501993375 514270925 534841762 540608250 552756750 556252225 568752275 573044745 578502314 581533225 585922155 591502366 597879750 612502450 617125110 630709625 633752535 655938010 656252625 667502670 670999875 682196125 682502730 697526375 697839870 702790725 709483970 734672750 751182250 756851550 778753115 796253185 802262643 812503250 818635350 830761750 837031650 867753471 887253549 918753675 934503738 955074575 955503822 976536925 983907015 993277558 1003986750 1028541850 1056254225 1064225955 1090254361 1102009125 1112504450 1126773375 1137504550 1146089490 1163066450 1171317875 1171844310 1218754875 1246142625 1261419250 1267505070 1312505250 1337104405 1341999750 1364392250 1395052750 1405581450 1446255785 1478755915 1489916337 1531256125 1542812775 1557506230 1592506370 1604525286 1639845025 1668756675 1706256825 1735506942 1744599675 1773709925 1774507098 1837507350 1892128875 1910149150 1953073850 1967814030 2024758099 2046588375 2070258281 2092579125 2112508450 2128451910 2180508722 2204018250 2253546750 2336259345 2342635750 2388759555 2437509750 2483193895 2492285250 2571354625 2674208810 2781261125 2843761375 2865223725 2892511570 2907666125 2929610775 2957511830 2979832674 3062512250 3085625550 3168762675 3270763083 3279690050 3337513350 3412513650 3476471453 3489199350 3513953625 3547419850 3760265041 3784257750 3893765575 3981265925 4011313215 4049516198 4093176750 4140516562 4185158250 4338767355 4436267745 4593768375 4672518690 4775372875 4777519110 4882684625 4919535075 4966387790 5142709250 5281271125 5321129775 5451271805 5562522250 5687522750 5730447450 5815332250 5859221550 6074274297 6210774843 6337525350 6541526166 6685522025 6952942906 7027907250 7231278925 7393779575 7449581685 7520530082 7714063875 7787531150 7962531850 8022626430 8199225125 8343783375 8531284125 8677534710 8722998375 8868549625 8872535490 9187536750 9550745750 9765369250 9839070150 10123790495 10351291405 10429414359 10562542250 10642259550 10902543610 11280795123 11681296725 11943797775 12148548594 12415969475 12421549686 13371044050 14173306693 14326118625 14462557850 14648053875 14787559150 14899163370 15428127750 15843813375 16353815415 16398450250 16687566750 17062568250 17382357265 17445996750 17737099250 18801325205 19468827875 19906329625 20056566075 20247580990 20702582810 20858828718 21693836775 22181338725 22561590246 23362593450 23887595550 24597675375 24831938950 26321855287 26605648875 27256359025 28346613386 28652237250 29296107750 30371371485 31053874215 31687626750 32707630830 33427610125 34764714530 36156394625 36968897875 37247908425 37602650410 38937655750 39812659250 40113132150 42519920079 43387673550 44362677450 49195350750 50618952475 51756457025 52147071795 52643710574 53211297750 54512718050 56403975615 58406483625 59718988875 60742742970 62079847375 62107748430 66855220250 70866533465 72312789250 73937795750 74495816850 78965565861 81769077075 85039840158 86911786325 94006626025 100282830375 101237904950 103512914050 104294143590 108469183875 110906693625 112807951230 116812967250 119437977750 124159694750 131609276435 136281795125 141733066930 151856857425 155269371075 157931131722 163538154150 173823572650 184252987009 186239542125 188013252050 200565660750 212599600395 216938367750 221813387250 253094762375 258782285125 260735358975 263218552870 272563590250 282019878075 303713714850 310538742150 354332667325 368505974018 372479084250 394827829305 408845385375 425199200790 434558931625 470033130125 506189524750 517564570250 521470717950 552758961027 564039756150 658046382175 708665334650 759284287125 776346855375 789655658610 817690770750 869117863250 921264935045 940066260250 1062998001975 1105517922054 1303676794875 1316092764350 1410099390375 1518568574250 1552693710750 1771663336625 1842529870090 1974139146525 2125996003950 2607353589750 2763794805135 2820198780750 3290231910875 3543326673250 3948278293050 4606324675225 5314990009875 5527589610270 6580463821750 9212649350450 9870695732625 10629980019750 13818974025675 19741391465250 23031623376125 27637948051350 46063246752250 69094870128375 138189740256750
- Sum of all divisors σ(n): 447857518648176
- Sum of proper divisors (its aliquot sum) s(n): 309667778391426
- 138189740256750 is an abundant number, because the sum of its proper divisors (309667778391426) is greater than itself. Its abundance is 171478038134676
Bases of 138189740256750
- Binary: 111110110101110110011100110000100101101111011102
- Hexadecimal: 0x7DAECE612DEE
- Base-36: 1CZFHNE8KU
Squares and roots of 138189740256750
- 138189740256750 squared (1381897402567502) is 19096404312228031555920562500
- 138189740256750 cubed (1381897402567503) is 2638927151744672308589005094511354421875000
-
The
square root of 138189740256750 is 11755413.2320710019 -
The
cube root of 138189740256750 is 51700.1655202797
Scales and comparisons
How big is 138189740256750?- 138,189,740,256,750 seconds is equal to 4,394,006 years, 15 weeks, 1 day, 12 minutes, 30 seconds.
-
To count from 1 to 138,189,740,256,750 would take you about ten million, nine hundred eighty-five thousand and fifteen 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 138189740256750 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138189740256750
- 138189740256750 backwards is 057652047981831
- The number of decimal digits it has is: 15
- The sum of 138189740256750's digits is 66
- More coming soon!
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"Number 138189740256750 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138189740256750 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138189740256750/
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The information we have on file for 138189740256750 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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