138216408720390
138,216,408,720,390 is an even composite number composed of eight prime numbers multiplied together.
138216408720390 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138216408720390:
2 × 32 × 5 × 74 × 112 × 132 × 31 × 1009
(2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 13 × 13 × 31 × 1009)See below for interesting mathematical facts about the number 138216408720390 from the Numbermatics database.
Names of 138216408720390
- Cardinal: 138216408720390 can be written as One hundred thirty-eight trillion, two hundred sixteen billion, four hundred eight million, seven hundred twenty thousand, three hundred ninety.
Scientific notation
- Scientific notation: 1.3821640872039 × 1014
Factors of 138216408720390
Divisors of 138216408720390
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 5 6 7 9 10 11 13 14 15 18 21 22 26 30 31 33 35 39 42 45 49 55 62 63 65 66 70 77 78 90 91 93 98 99 105 110 117 121 126 130 143 147 154 155 165 169 182 186 195 198 210 217 231 234 242 245 273 279 286 294 310 315 330 338 341 343 363 385 390 403 429 434 441 455 462 465 490 495 507 539 546 558 585 605 630 637 651 682 686 693 715 726 735 770 806 819 845 847 858 882 910 930 990 1001 1009 1014 1023 1029 1078 1085 1089 1155 1170 1183 1209 1210 1274 1287 1302 1365 1386 1395 1430 1470 1519 1521 1573 1617 1638 1690 1694 1705 1715 1815 1859 1911 1953 2002 2015 2018 2046 2058 2145 2170 2178 2205 2310 2366 2387 2401 2418 2535 2541 2574 2695 2730 2790 2821 3003 3027 3038 3042 3069 3087 3146 3185 3234 3255 3410 3430 3465 3549 3627 3630 3718 3751 3773 3822 3906 4030 4095 4235 4290 4410 4433 4459 4557 4719 4774 4802 4851 5005 5045 5070 5082 5115 5145 5239 5390 5445 5577 5642 5733 5915 5929 6006 6045 6054 6138 6174 6370 6435 6510 6930 7007 7063 7098 7161 7203 7254 7502 7546 7595 7605 7623 7865 8085 8190 8281 8463 8470 8866 8918 9009 9081 9114 9295 9438 9555 9702 9765 10010 10090 10230 10290 10478 10633 10647 10890 11011 11099 11154 11253 11319 11466 11830 11858 11935 12005 12090 12705 12870 13013 13117 13299 13377 13671 14014 14105 14126 14157 14322 14406 15015 15135 15190 15210 15246 15345 15435 15717 15730 16170 16562 16709 16731 16926 17745 17787 18018 18135 18162 18590 18755 18865 19110 19530 19747 20449 21021 21189 21266 21294 21483 21609 22022 22165 22198 22295 22506 22638 22785 23595 23870 24010 24255 24843 25389 25410 26026 26195 26234 26257 26411 26598 26754 27342 27885 28210 28314 28665 29645 30030 30270 30690 30870 31031 31213 31279 31434 31899 33033 33297 33418 33462 33759 33957 35035 35315 35490 35574 35805 36015 36270 36673 37510 37730 38115 39039 39351 39494 39897 40131 40898 41405 41503 42042 42315 42378 42966 43218 44330 44590 45045 45405 45570 47151 47190 48510 48763 49049 49441 49686 50127 50778 52390 52514 52822 53165 53235 53361 55055 55495 55770 56265 56595 57330 57629 57967 59241 59290 61347 62062 62426 62558 63063 63567 63798 65065 65585 66066 66495 66594 66885 67518 67914 68355 70070 70630 70785 71610 72030 73346 74431 74529 76230 77077 77693 78078 78585 78702 78771 79233 79794 80262 82810 83006 83545 83655 84630 88935 90090 90810 91091 91819 93093 93639 93837 94302 95697 97526 98098 98735 98882 99099 99891 100254 102245 105105 105945 106330 106470 106722 107415 108045 110019 110110 110990 112530 113190 115258 115934 116963 117117 118053 118482 122089 122694 124215 124509 126126 126945 127134 130130 131170 131285 132055 132990 133770 136710 138229 141570 143143 144287 146289 147147 148323 148862 149058 150381 154154 155155 155386 156065 156395 157170 157542 158466 159495 165165 166485 167090 167310 168795 169785 170521 172887 173901 177723 177870 182182 183365 183638 183799 184041 186186 187278 187674 191394 195195 196755 197470 198198 199485 199782 200655 204490 207515 210210 211890 214830 216090 217217 218953 220038 223293 231231 233079 233926 234234 235755 236106 236313 237699 243815 244178 245245 247205 248430 249018 250635 253890 256711 262570 264110 266805 273273 275457 276458 279279 280917 281511 286286 288145 288574 289835 290521 292578 294294 296205 296646 300762 306735 310310 312130 312790 315315 317835 318990 330057 330330 332970 337590 339570 341042 341341 343343 344069 345774 346087 347802 350889 355446 366267 366730 367598 368082 372155 372645 373527 385385 388465 390390 393510 393855 396165 398970 401310 403403 405769 406627 414687 415030 429429 432861 434434 437906 438867 441441 444969 446586 455455 459095 462462 465465 466158 468195 469185 471510 472626 475398 478485 487630 490490 494410 495495 499455 501270 511563 513422 518661 521703 533610 539539 543851 546546 550095 550914 551397 558558 561834 563022 576290 579670 581042 584815 585585 590265 592410 610445 613470 622545 630630 633919 635670 637637 642733 651651 656859 660114 669879 682682 686686 688138 691145 692174 693693 699237 701778 715715 721435 731445 732534 735735 741615 744310 745290 747054 751905 770133 770770 776930 787710 792330 806806 811538 813254 818741 819819 826371 829374 852605 854623 858858 864435 865722 869505 871563 877734 882882 888615 889938 910910 918190 918995 920205 930930 936390 938370 956970 967603 990990 998910 1002001 1010009 1023126 1024023 1030029 1032207 1037322 1038261 1043406 1052667 1079078 1086085 1087702 1094765 1098801 1100190 1102794 1116465 1156155 1165395 1169630 1171170 1180530 1181565 1188495 1193647 1210209 1217307 1219881 1220890 1244061 1245090 1267838 1275274 1283555 1285466 1286593 1288287 1298583 1303302 1313718 1339758 1366365 1377285 1382290 1387386 1396395 1398474 1404585 1407555 1431430 1442870 1452605 1462890 1471470 1483230 1503810 1520519 1532671 1534689 1540266 1587157 1618617 1631553 1637482 1639638 1650285 1652742 1654191 1705210 1706705 1709246 1716715 1720345 1728870 1730435 1739010 1743126 1754445 1777230 1796977 1831335 1837990 1840410 1867635 1875731 1901757 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24279255 24473295 24562230 25066587 25157678 25414389 25617501 25638690 26146890 26260234 26430755 26493313 26624598 26648699 26780754 26837382 26954655 26994786 27018453 27369342 27588078 28135965 28238210 28463890 28526355 28568826 28693665 28922985 29028090 29911805 30060030 30300270 30720690 30900870 30966210 31062031 31147830 31310279 31493917 31716906 31930899 32186091 32345586 33330297 33451418 33718762 33763158 33990957 34062831 34262613 35070035 35350315 35809410 35840805 35894166 36127245 36306270 36339135 36519210 36596430 36843345 37003057 37736517 37767730 37847590 38069570 38458035 38597790 39390351 39533494 39849446 39936897 40171131 40256073 40492179 41266082 41777645 41876527 42084042 42357315 42420378 42695835 43008966 43352694 43542135 43606962 44374330 44634590 44728970 44991310 45030755 45090045 45450405 45615570 45980130 47575359 47614710 48558510 48946590 49098049 49201867 49490441 50133174 50177127 50578143 50828778 51235002 52861510 52986626 53218165 53297398 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117079963 118015667 118171053 118600482 119548338 123798246 125332935 125629581 125788390 126252126 127071945 127261134 128087505 131301170 132466565 133122990 133243495 133903770 134186910 134973930 135092265 136846710 137940390 138367229 139473061 142844130 144431287 147294147 147605601 148471323 150201758 150399522 150531381 151734429 155310155 155541386 156551395 157469585 158584530 158959878 159654495 159892194 160930455 161727930 162110718 166651485 167257090 168593810 168815790 169954785 170314155 171313065 174442983 175466109 177900723 179322507 179470830 183821638 185015285 185453191 185697369 186372186 187861674 188682585 188963502 191585394 193116546 196951755 197667470 199247230 199684485 199981782 200855655 201280365 202460895 206330410 209382635 210420210 212101890 215044830 216763470 217434217 218034810 219171953 222018342 225302637 226419102 233312079 234159926 236031334 236342106 237876795 238439817 239838291 245490245 246009335 247452205 250665870 250885635 251259162 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1315031718 1351815822 1378662285 1383672290 1394730610 1397791395 1399872474 1408962555 1417226265 1444312870 1465678445 1472941470 1476056010 1484713230 1505313810 1517344290 1522039519 1534203671 1554128394 1633184553 1652219338 1654394742 1665137565 1669078719 1722065345 1732165435 1744429830 1754661090 1756199445 1758814134 1770235005 1779007230 1793225070 1813149793 1854531910 1856973690 1884443715 1918872813 1930127199 1952622854 1956907953 1972547577 2022038018 2035168135 2047104605 2066478414 2075508435 2078598522 2092095915 2107439334 2124282006 2166469305 2174342170 2191719530 2209412205 2214084015 2227069845 2253026370 2331192591 2333120790 2384398170 2398382910 2410891483 2442201762 2456525526 2478329007 2490610122 2510515098 2590213990 2596344674 2599763166 2616644745 2631991635 2638221201 2721974255 2757324570 2781797865 2795582790 2817925110 2834452530 2849235389 2928934281 2931356890 3033057027 3044079038 3068407342 3099717621 3117897783 3198121355 3216878665 3261513255 3266369106 3287579295 3330275130 3338157438 3379539555 3444130690 3464330870 3499681185 3512398890 3540470010 3626299586 3663302643 3684788289 3768887430 3810763957 3837745626 3860254398 3885320985 3894517011 3913815906 3945095154 4070336270 4094209210 4130548345 4135986855 4151016870 4184191830 4332938610 4397035335 4418824410 4428168030 4454139690 4477369897 4503630131 4566118557 4602611013 4662385182 4821782966 4881557135 4899553659 4956658014 5055095045 5166196035 5196496305 5233289490 5263983270 5268598335 5276442402 5310705015 5439449379 5443948510 5563595730 5698470778 5756618439 5790381597 5857868562 6066114054 6105504405 6141313815 6199435242 6226525305 6235795566 6276287745 6396242710 6433757330 6490861685 6499407915 6523026510 6575158590 6759079110 6999362370 7077133063 7232674449 7326605286 7369576578 7434987021 7610197595 7621527914 7671018355 7770641970 7789034022 8165922765 8261096690 8271973710 8345393595 8547706167 8786802843 8794070670 8954739794 9007260262 9065748965 9087206359 9099171081 9132237114 9205222026 9594364065 9650635995 9763114270 9784539765 9799107318 9862737885 10110190090 10332392070 10392992610 10537196670 10621410030 10739425697 10878898758 11432291871 11513236878 11580763194 11655962955 11683551033 12054457415 12211008810 12282627630 12391645035 12453050610 12552575490 12692048551 12981723370 12998815830 13191106005 13432109691 13510890393 13698355671 13807833039 14154266126 14246176945 14465348898 14644671405 14869974042 15165285135 15220395190 15342036710 15498588105 15589488915 16318348137 16331845530 16690787190 16876240381 17095412334 17573605686 18131497930 18174412718 18198342162 18316513215 18423941445 19053819785 19188728130 19301271990 19472585055 19569079530 19725475770 19944647723 21231399189 21478851394 21698023347 22386849485 22518150655 22830592785 22864583742 23013055065 23311925910 23367102066 24108914830 24497768295 24783290070 25384097102 25643118501 26382212010 26864219382 27021780786 27197246895 27261619077 27396711342 27615666078 28492353890 28783092195 28951907985 29289342810 30330570270 30997176210 31178977830 31341589279 32218277091 32636696274 33752480762 34296875613 35385665315 36163372245 36633026430 36847882890 37174935105 38076145653 38107639570 38945170110 39889295446 40296329073 40532671179 42462798378 42738530835 43396046694 43934014215 44773698970 45036301310 45436031795 45495855405 45661185570 46026110130 48995536590 49539931441 50628721143 51286237002 53697128485 54394493790 54523238154 57161459355 57566184390 57903815970 58417755165 59833943169 62683178558 63460242755 63694197567 64436554182 67160548455 67554451965 68491778355 68593751226 69039165195 70771330630 72326744490 74349870210 76152291306 80592658146 81065342358 81591740685 81784857231 84381201905 85477061670 87868028430 90872063590 90991710810 94024767837 96654831273 99079862882 99723238615 101257442286 106156995945 107394256970 108490116735 114228436959 114322918710 116835510330 118133682667 119667886338 126920485510 127388395134 128215592505 134321096910 135108903930 136308095385 136983556710 138078330390 139612534061 148619794323 151886163429 156707946395 161091385455 163183481370 163569714462 168762403810 171484378065 179501829507 188049535674 190380728265 193309662546 199446477230 201481645365 202663355895 212313991890 216980233470 219391124953 228456873918 236267365334 247699657205 253143605715 256431185010 272616190770 279225068122 282074303511 297239588646 299169715845 303772326858 313415892790 318470987835 322182770910 342968756130 354401048001 359003659014 380761456530 402963290730 405326711790 408924286155 418837602183 438782249906 445859382969 470123839185 483274156365 495399314410 506287211430 564148607022 571142184795 590668413335 598339431690 636941975670 658173374859 698062670305 708802096002 743098971615 759430817145 817848572310 837675204366 891718765938 897509147535 940247678370 966548312730 1063203144003 1096955624765 1142284369590 1181336826670 1256512806549 1316346749718 1396125340610 1410371517555 1486197943230 1518861634290 1535737874671 1772005240005 1795018295070 1974520124577 2094188010915 2126406288006 2193911249530 2229296914845 2513025613098 2820743035110 3071475749342 3290866874295 3544010480010 3949040249154 4188376021830 4458593829690 4607213624013 5316015720015 6282564032745 6581733748590 7678689373355 9214427248026 9872600622885 10632031440030 12565128065490 13821640872039 15357378746710 19745201245770 23036068120065 27643281744078 46072136240130 69108204360195 138216408720390
- Sum of all divisors σ(n): 515588294632320
- Sum of proper divisors (its aliquot sum) s(n): 377371885911930
- 138216408720390 is an abundant number, because the sum of its proper divisors (377371885911930) is greater than itself. Its abundance is 239155477191540
Bases of 138216408720390
- Binary: 111110110110101000000111111000110100100000001102
- Hexadecimal: 0x7DB503F1A406
- Base-36: 1CZRQP3YTI
Squares and roots of 138216408720390
- 138216408720390 squared (1382164087203902) is 19103775639561900837201752100
- 138216408720390 cubed (1382164087203903) is 2640455261900317560354216690680226995319000
-
The
square root of 138216408720390 is 11756547.4830151561 -
The
cube root of 138216408720390 is 51703.4910814441
Scales and comparisons
How big is 138216408720390?- 138,216,408,720,390 seconds is equal to 4,394,854 years, 13 weeks, 5 days, 18 hours, 46 minutes, 30 seconds.
-
To count from 1 to 138,216,408,720,390 would take you about ten million, nine hundred eighty-seven thousand, one hundred thirty-five 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 138216408720390 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138216408720390
- 138216408720390 backwards is 093027804612831
- The number of decimal digits it has is: 15
- The sum of 138216408720390's digits is 54
- More coming soon!
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MLA style:
"Number 138216408720390 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138216408720390 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138216408720390/
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Numbermatics. 2024. "Number 138216408720390 - Facts about the integer". https://numbermatics.com/n/138216408720390/
The information we have on file for 138216408720390 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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