138331840111800
138,331,840,111,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138331840111800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138331840111800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138331840111800:
23 × 3 × 52 × 172 × 372 × 41 × 61 × 233
(2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 37 × 37 × 41 × 61 × 233)See below for interesting mathematical facts about the number 138331840111800 from the Numbermatics database.
Names of 138331840111800
- Cardinal: 138331840111800 can be written as One hundred thirty-eight trillion, three hundred thirty-one billion, eight hundred forty million, one hundred eleven thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383318401118 × 1014
Factors of 138331840111800
Divisors of 138331840111800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 37 40 41 50 51 60 61 68 74 75 82 85 100 102 111 120 122 123 136 148 150 164 170 183 185 200 204 205 222 233 244 246 255 289 296 300 305 328 340 366 370 408 410 425 444 466 488 492 510 555 578 600 610 615 629 680 697 699 732 740 820 850 867 888 915 925 932 984 1020 1025 1037 1110 1156 1165 1220 1230 1258 1275 1369 1394 1398 1445 1464 1480 1517 1525 1640 1700 1734 1830 1850 1864 1887 2040 2050 2074 2091 2220 2257 2312 2330 2440 2460 2501 2516 2550 2738 2775 2788 2796 2890 3034 3050 3075 3111 3145 3400 3468 3485 3495 3660 3700 3774 3961 4100 4107 4148 4182 4335 4440 4514 4551 4575 4660 4920 5002 5032 5100 5185 5476 5550 5576 5592 5780 5825 6068 6100 6150 6222 6290 6771 6845 6936 6970 6990 7225 7320 7400 7503 7548 7585 7922 8200 8214 8296 8364 8621 8670 9028 9102 9150 9320 9435 9553 10004 10200 10370 10455 10693 10952 11100 11285 11560 11650 11849 11883 12136 12200 12300 12444 12505 12580 13542 13690 13940 13980 14213 14450 15006 15096 15170 15555 15725 15844 16428 16728 17242 17340 17425 17475 17629 18056 18204 18300 18870 19106 19805 20008 20535 20740 20910 21386 21675 22200 22570 22755 23273 23300 23698 23766 24600 24888 25010 25160 25789 25863 25925 27084 27380 27880 27960 28426 28659 28900 30012 30340 31110 31450 31688 32079 32856 33855 34225 34484 34680 34850 34950 35258 35547 36408 36600 37515 37740 37925 38212 38369 39610 41070 41480 41820 42517 42639 42772 43105 43350 45140 45510 46546 46600 47175 47396 47532 47765 50020 51578 51726 51850 52275 52887 53465 54168 54760 56129 56425 56852 57318 57800 59245 59415 60024 60680 62220 62525 62900 64158 67337 67710 68450 68968 69700 69819 69900 70516 71065 71094 75030 75480 75850 76424 76738 77367 77775 79220 82140 83509 83640 85034 85278 85544 86210 86700 88145 90280 91020 92537 93092 94350 94792 95064 95530 99025 100040 102675 103156 103452 103700 104550 105774 106930 112258 112850 113704 113775 114636 115107 116365 118490 118830 124440 125050 125800 127551 128316 128945 129315 134674 135420 136900 139400 139638 139800 141032 142130 142188 143295 146557 150060 151700 153476 154734 155550 158440 160395 162401 164280 167018 168387 169275 170068 170556 172420 173400 176290 177735 182040 185074 186184 187575 188700 191060 191845 198050 202011 205350 206312 206904 207400 209100 211548 212585 213195 213860 215525 224516 225700 227550 229272 230214 232730 236980 237660 238825 241621 250100 250527 255102 256632 257890 258630 264435 267325 269348 270840 273800 277611 279276 280645 284260 284376 286590 293114 296225 297075 300120 303400 306952 309468 311100 318977 320790 324802 334036 336685 336774 338550 340136 341112 344840 349095 352580 353461 355325 355470 370148 375150 377400 382120 383690 386835 395641 396100 404022 410700 417545 418200 423096 425170 426390 427720 431050 438413 439671 440725 449032 451400 455100 460428 462685 465460 473960 475320 477650 483242 487203 500200 501054 510204 515780 517260 525881 528870 534650 538696 555222 558552 561290 568520 573180 575535 581825 582733 586228 592450 594150 618936 622200 637755 637954 641580 644725 646575 649604 652273 668072 673370 673548 677100 698190 705160 706922 710650 710940 716475 722789 724863 732785 740296 750300 767380 773670 791282 792200 801975 808044 812005 821400 835090 841935 850340 852780 862100 876826 879342 881450 888675 910200 920856 925370 930920 954193 955300 956931 959225 966484 974406 1002108 1010055 1020408 1031560 1034520 1051762 1057740 1060383 1062925 1065975 1069300 1110444 1122580 1146360 1151070 1163650 1165466 1172456 1184900 1186923 1188300 1208105 1252635 1275510 1275908 1283160 1289450 1293150 1299208 1304546 1315239 1322175 1346740 1347096 1354200 1388055 1396380 1403225 1413844 1419653 1421300 1421880 1432950 1445578 1449726 1465570 1500600 1534760 1547340 1573129 1577643 1582564 1594885 1603950 1616088 1624010 1670180 1683425 1683870 1700680 1705560 1724200 1745475 1748199 1753652 1758684 1762900 1767305 1777350 1850740 1908386 1910600 1913862 1918450 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286257900 289609212 291028865 291863955 297193830 298976280 300441850 303959218 306450687 308066775 313873368 314625800 315528600 320918316 323416815 324425620 325356540 326951425 330779149 331298040 336819674 342386900 349234638 349639800 357599080 360530220 362011515 366539057 368737412 373720350 389151940 389310744 391363800 392341710 396258440 401147895 405532025 406695675 408600916 410755700 410864280 414122550 425895900 431222420 433673400 444653938 446998850 450662775 455938827 460921765 465646184 466982328 471938700 482682020 486439925 486638430 492906840 495323050 498293800 505229511 510751145 513580350 517466904 523122280 534863860 536398620 539028025 542260900 552163400 553106118 572515800 579218424 582057730 583727910 594387660 600883700 603352525 607918436 612901374 616133550 641836632 646833630 648851240 650713080 653902850 661558298 666980907 668579825 670498275 673639348 684773800 698469276 721060440 724023030 733078114 737474824 742984575 747440700 759898045 778303880 784683420 797761477 802295790 811064050 813391350 817201832 821511400 828245100 842049185 851791800 862444840 873086595 889307876 893997700 901325550 911877654 921843530 943877400 965364040 972879850 973276860 980854275 989498141 990646100 992337447 1010459022 1021502290 1027160700 1069727720 1072797240 1078056050 1084521800 1099617171 1106212236 1111634845 1164115460 1167455820 1188775320 1201767400 1206705050 1215836872 1216596075 1225802748 1232267100 1293667260 1307805700 1323116596 1333961814 1337159650 1340996550 1347278696 1382765295 1396938552 1448046060 1455144325 1459319775 1466156228 1485969150 1494881400 1519796090 1532253435 1569366840 1595522954 1604591580 1617084075 1622128100 1626782700 1653895745 1656490200 1684098370 1746173190 1778615752 1787995400 1802651100 1810057575 1823755308 1832695285 1843687060 1945759700 1946553720 1961708550 1978996282 1981292200 1984674894 2005739475 2020918044 2043004580 2054321400 2156112100 2199234342 2212424472 2223269690 2279694135 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7938699576 7977614770 8022957900 8269478725 8420491850 8730865950 8796937368 8893078760 9118776540 9163476425 9218435300 9573137724 9732768600 9894981410 9923374470 10104590220 10215022900 10996171710 11062122360 11116348450 11246491066 11338675419 11398470675 11641154600 11674558200 11873977692 11966422155 12258027480 12462327938 12630737775 12936672600 13231165960 13339618140 13561945109 13827652950 14480460600 14661562280 14842472115 15118233892 15197960900 15322534350 15955229540 16045915800 16538957450 16674522675 16840983700 16869736599 17461731900 18237553080 18326952850 18436870600 18693491907 18897792365 19146275448 19789962820 19846748940 19944036925 20209180440 20430045800 21992343420 22232696900 22492982132 22677350838 22796941350 23747955384 23932844310 24737453525 24808436175 24924655876 25261475550 26679236280 27123890218 27490429275 27655305900 28116227665 29684944230 30236467784 30395921800 30645068700 31155819845 31910459080 33077914900 33349045350 33681967400 33739473198 34923463800 36653905700 37386983814 37795584730 39579925640 39693497880 39888073850 40685835327 43984686840 44465393800 44985964264 45354701676 45593882700 47865688620 49474907050 49616872350 49849311752 50522951100 54247780436 54980858550 55310611800 56232455330 56693377095 59369888460 59832110775 61290137400 62311639690 66155829800 66698090700 67478946396 67809725545 73307811400 74212360575 74773967628 75591169460 79776147700 81371670654 84348682995 90709403352 91187765400 93467459535 94488961825 95731377240 98949814100 99233744700 101045902200 108495560872 109961717100 112464910660 113386754190 118739776920 119664221550 124623279380 133396181400 134957892792 135619451090 140581138325 148424721150 149547935256 151182338920 155779099225 159552295400 162743341308 168697365990 186934919070 188977923650 197899628200 198467489400 203429176635 219923434200 224929821320 226773508380 230553066853 239328443100 249246558760 271238902180 281162276650 283466885475 296849442300 311558198450 325486682616 337394731980 339048627725 373869838140 377955847300 406858353270 421743414975 453547016760 461106133706 467337297675 478656886200 542477804360 562324553300 566933770950 593698884600 623116396900 674789463960 678097255450 691659200559 747739676280 755911694600 813716706540 843486829950 922212267412 934674595350 1017145883175 1124649106600 1133867541900 1152765334265 1246232793800 1356194510900 1383318401118 1627433413080 1686973659900 1844424534824 1869349190700 2034291766350 2267735083800 2305530668530 2712389021800 2766636802236 3373947319800 3458296002795 3738698381400 4068583532700 4611061337060 5533273604472 5763826671325 6916592005590 8137167065400 9222122674120 11527653342650 13833184011180 17291480013975 23055306685300 27666368022360 34582960027950 46110613370600 69165920055900 138331840111800
- Sum of all divisors σ(n): 489555861107040
- Sum of proper divisors (its aliquot sum) s(n): 351224020995240
- 138331840111800 is an abundant number, because the sum of its proper divisors (351224020995240) is greater than itself. Its abundance is 212892180883440
Bases of 138331840111800
- Binary: 111110111001111111001000011000011100100101110002
- Hexadecimal: 0x7DCFE430E4B8
- Base-36: 1D18RPZAGO
Squares and roots of 138331840111800
- 138331840111800 squared (1383318401118002) is 19135697988716599436499240000
- 138331840111800 cubed (1383318401118003) is 2647076314602837473732418844802215032000000
-
The
square root of 138331840111800 is 11761455.6969705071 -
The
cube root of 138331840111800 is 51717.8804613389
Scales and comparisons
How big is 138331840111800?- 138,331,840,111,800 seconds is equal to 4,398,524 years, 32 weeks, 4 days, 6 hours, 10 minutes.
-
To count from 1 to 138,331,840,111,800 would take you about ten million, nine hundred ninety-six thousand, three hundred eleven 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 138331840111800 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138331840111800
- 138331840111800 backwards is 008111048133831
- The number of decimal digits it has is: 15
- The sum of 138331840111800's digits is 42
- More coming soon!
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"Number 138331840111800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138331840111800 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138331840111800/
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The information we have on file for 138331840111800 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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