138223886961600
138,223,886,961,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138223886961600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
138223886961600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138223886961600:
26 × 33 × 52 × 11 × 53 × 281 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 53 × 281 × 19531)See below for interesting mathematical facts about the number 138223886961600 from the Numbermatics database.
Names of 138223886961600
- Cardinal: 138223886961600 can be written as One hundred thirty-eight trillion, two hundred twenty-three billion, eight hundred eighty-six million, nine hundred sixty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.382238869616 × 1014
Factors of 138223886961600
Divisors of 138223886961600
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 53 54 55 60 64 66 72 75 80 88 90 96 99 100 106 108 110 120 132 135 144 150 159 160 165 176 180 192 198 200 212 216 220 225 240 264 265 270 275 281 288 297 300 318 320 330 352 360 396 400 424 432 440 450 477 480 495 528 530 540 550 562 576 583 594 600 636 660 675 704 720 792 795 800 825 843 848 864 880 900 954 960 990 1056 1060 1080 1100 1124 1166 1188 1200 1272 1320 1325 1350 1405 1431 1440 1485 1584 1590 1600 1650 1686 1696 1728 1749 1760 1800 1908 1980 2112 2120 2160 2200 2248 2332 2376 2385 2400 2475 2529 2544 2640 2650 2700 2810 2862 2880 2915 2970 3091 3168 3180 3300 3372 3392 3498 3520 3600 3816 3960 3975 4215 4240 4320 4400 4496 4664 4752 4770 4800 4950 5058 5088 5247 5280 5300 5400 5620 5724 5830 5940 6182 6336 6360 6600 6744 6996 7025 7155 7200 7425 7587 7632 7920 7950 8430 8480 8640 8745 8800 8992 9273 9328 9504 9540 9900 10116 10176 10494 10560 10600 10800 11240 11448 11660 11880 11925 12364 12645 12720 13200 13488 13992 14050 14310 14400 14575 14850 14893 15174 15264 15455 15741 15840 15900 16860 16960 17490 17600 17984 18546 18656 19008 19080 19531 19800 20232 20988 21075 21200 21600 22480 22896 23320 23760 23850 24728 25290 25440 26235 26400 26976 27819 27984 28100 28620 29150 29700 29786 30348 30528 30910 31482 31680 31800 33720 34980 35775 37092 37312 37935 38160 39062 39600 40464 41976 42150 42400 43200 43725 44679 44960 45792 46365 46640 47520 47700 49456 50580 50880 52470 52800 53952 55638 55968 56200 57240 58300 58593 59400 59572 60696 61820 62964 63225 63600 67440 69960 71550 74184 74465 75870 76320 77275 78124 78705 79200 80928 83457 83952 84300 84800 87450 89358 89920 91584 92730 93280 95040 95400 97655 98912 101160 104940 111276 111936 112400 114480 116600 117186 118800 119144 121392 123640 125928 126450 127200 131175 134037 134880 139095 139920 143100 148368 148930 151740 152640 154550 156248 157410 158400 161856 163823 166914 167904 168600 174900 175779 178716 185460 186560 189675 190800 195310 197824 202320 209880 214841 222552 223395 224800 228960 231825 233200 234372 237600 238288 242784 247280 251856 252900 254400 262350 268074 269760 278190 279840 286200 292965 296736 297860 303480 309100 312496 314820 327646 333828 335808 337200 349800 351558 357432 370920 372325 379350 381600 390620 393525 402111 404640 417285 419760 429682 445104 446790 449600 457920 463650 466400 468744 475200 476576 485568 488275 491469 494560 503712 505800 524700 527337 536148 556380 559680 572400 585930 593472 595720 606960 618200 624992 629640 644523 655292 667656 670185 674400 695475 699600 703116 714864 741840 744650 758700 763200 781240 787050 804222 809280 819115 834570 839520 859364 878895 890208 893580 927300 932800 937488 953152 976550 982938 989120 1007424 1011600 1035143 1049400 1054674 1072296 1074205 1112760 1116975 1144800 1171860 1191440 1213920 1236400 1249984 1259280 1289046 1310584 1335312 1340370 1348800 1390950 1399200 1406232 1429728 1464825 1474407 1483680 1489300 1517400 1562480 1574100 1608444 1638230 1669140 1679040 1718728 1757790 1780416 1787160 1854600 1874976 1933569 1953100 1965876 2010555 2023200 2070286 2086425 2098800 2109348 2144592 2148410 2225520 2233950 2289600 2343720 2382880 2427840 2457345 2472800 2518560 2578092 2621168 2636685 2670624 2680740 2781900 2798400 2812464 2859456 2929650 2948814 2967360 2978600 3034800 3105429 3124960 3148200 3216888 3222615 3276460 3338280 3350925 3437456 3515580 3574320 3709200 3749952 3867138 3906200 3931752 4021110 4046400 4095575 4140572 4172850 4197600 4218696 4289184 4296820 4394475 4423221 4451040 4467900 4687440 4765760 4914690 4945600 5037120 5156184 5175715 5242336 5273370 5341248 5361480 5371025 5488211 5563800 5624928 5800707 5859300 5897628 5957200 6069600 6210858 6249920 6296400 6433776 6445230 6552920 6676560 6701850 6874912 7031160 7148640 7372035 7418400 7734276 7812400 7863504 8042220 8191150 8281144 8345700 8395200 8437392 8578368 8593640 8788950 8846442 8902080 8935800 9316287 9374880 9667845 9829380 10052775 10312368 10351430 10484672 10546740 10722960 10742050 10976422 11127600 11249856 11386573 11601414 11718600 11795256 11914400 12139200 12286725 12421716 12592800 12867552 12890460 13105840 13183425 13353120 13403700 13749824 14062320 14297280 14744070 14836800 15468552 15527145 15624800 15727008 16084440 16113075 16382300 16464633 16562288 16691400 16874784 17187280 17577900 17692884 17871600 18632574 18749760 19335690 19658760 20105550 20624736 20702860 21093480 21445920 21484100 21952844 22116105 22255200 22773146 23202828 23437200 23590512 23828800 24573450 24843432 25185600 25735104 25780920 25878575 26211680 26366850 26706240 26807400 27441055 27948861 28124640 29003535 29488140 30937104 31054290 31249600 31454016 32168880 32226150 32764600 32929266 33124576 33382800 33749568 34159719 34374560 35155800 35385768 35743200 36860175 37265148 38671380 39317520 40211100 41249472 41405720 42186960 42891840 42968200 43905688 44232210 44510400 45546292 46405656 46581435 46874400 47181024 48339225 49146900 49393899 49686864 51561840 51757150 52423360 52733700 53614800 54882110 55897722 56249280 56932865 58007070 58976280 60370321 61874208 62108580 64337760 64452300 65529200 65858532 66249152 66765600 68319438 68749120 70311600 70771536 71486400 73720350 74530296 77342760 77635725 78635040 80422200 82323165 82811440 84373920 85936400 87811376 88464420 91092584 92811312 93162870 93748800 94362048 96678450 98293800 98787798 99373728 102479157 103123680 103514300 105467400 107229600 109764220 110580525 111795444 113865730 116014140 117952560 120740642 123748416 124217160 128675520 128904600 131058400 131717064 133531200 136638876 137205275 139744305 140623200 141543072 145017675 147440700 148181697 149060592 154685520 155271450 157270080 160844400 164646330 165622880 168747840 170798595 171872800 175622752 176928840 181110963 182185168 185622624 186325740 193356900 196587600 197575596 198747456 204958314 206247360 207028600 210934800 214459200 219528440 221161050 223590888 227731460 232028280 232907175 235905120 241481284 246969495 248434320 257809200 262116800 263434128 273277752 274410550 279488610 281246400 283086144 284664325 290035350 290875183 294881400 296363394 298121184 301851605 307437471 309371040 310542900 321688800 329292660 331245760 341597190 343745600 351245504 353857680 362221926 364370336 371245248 372651480 386713800 393175200 395151192 409916628 411615825 414057200 421869600 439056880 442322100 447181776 455462920 464056560 465814350 471810240 482962568 493938990 496868640 512395785 515618400 526868256 543332889 546555504 548821100 558977220 569328650 580070700 581750366 589762800 592726788 596242368 603703210 614874942 618742080 621085800 643377600 658585320 683194380 698721525 707715360 724443852 728740672 740908485 745302960 773427600 786350400 790302384 819833256 823231650 828114400 843739200 853992975 872625549 878113760 884644200 894363552 905554815 910925840 928113120 931628700 965925136 987877980 993737280 1024791570 1031236800 1053736512 1086665778 1093111008 1097642200 1117954440 1138657300 1160141400 1163500732 1179525600 1185453576 1207406420 1229749884 1234847475 1242171600 1317170640 1366388760 1397443050 1415430720 1448887704 1454375915 1481816970 1490605920 1509258025 1537187355 1546855200 1580604768 1629998667 1639666512 1646463300 1656228800 1707985950 1745251098 1756227520 1769288400 1788727104 1811109630 1821851680 1856226240 1863257400 1931850272 1975755960 2049583140 2173331556 2186222016 2195284400 2235908880 2277314600 2320282800 2327001464 2359051200 2370907152 2414812840 2459499768 2469694950 2484343200 2561978925 2617876647 2634341280 2716664445 2732777520 2794886100 2897775408 2908751830 2963633940 2981211840 3018516050 3074374710 3093710400 3161209536 3199627013 3259997334 3279333024 3292926600 3415971900 3490502196 3538576800 3622219260 3643703360 3704542425 3726514800 3863700544 3951511920 4099166280 4346663112 4363127745 4390568800 4471817760 4527774075 4554629200 4640565600 4654002928 4741814304 4829625680 4918999536 4939389900 4968686400 5123957850 5235753294 5268682560 5433328890 5465555040 5589772200 5795550816 5817503660 5927267880 6037032100 6148749420 6399254026 6519994668 6558666048 6585853200 6831943800 6981004392 7077153600 7244438520 7271879575 7409084850 7453029600 7685936775 7853629941 7903023840 8149993335 8198332560 8693326224 8726255490 8781137600 8943635520 9055548150 9109258400 9281131200 9308005856 9483628608 9598881039 9659251360 9837999072 9878779800 10247915700 10471506588 10866657780 10931110080 11179544400 11591101632 11635007320 11854535760 12074064200 12297498840 12798508052 13039989336 13089383235 13171706400 13583322225 13663887600 13962008784 14488877040 14543759150 14818169700 14906059200 15371873550 15707259882 15806047680 15998135065 16299986670 16396665120 17386652448 17452510980 18111096300 18218516800 18616011712 19197762078 19318502720 19675998144 19757559600 20495831400 20943013176 21733315560 21815638725 22359088800 23270014640 23709071520 24148128400 24594997680 25597016104 26079978672 26178766470 26343412800 27166644450 27327775200 27924017568 28796643117 28977754080 29087518300 29636339400 30743747100 31414519764 31996270130 32599973340 32793330240 34773304896 34905021960 36222192600 38395524156 39268149705 39515119200 40749966675 40991662800 41886026352 43466631120 43631277450 44718177600 46540029280 47418143040 47994405195 48296256800 49189995360 51194032208 52159957344 52357532940 54333288900 54655550400 55848035136 57593286234 57955508160 58175036600 59272678800 61487494200 62829039528 63992540260 65199946680 65446916175 69810043920 72444385200 76791048312 78536299410 79030238400 79990675325 81499933350 81983325600 83772052704 86389929351 86933262240 87262554900 93080058560 95988810390 96592513600 98379990720 102388064416 104319914688 104715065880 108666577800 115186572468 116350073200 118545357600 122974988400 125658079056 127985080520 130399893360 130893832350 139620087840 143983215585 144888770400 153582096624 157072598820 159981350650 162999866700 163966651200 167544105408 172779858702 173866524480 174525109800 191977620780 196340748525 204776128832 209430131760 217333155600 230373144936 232700146400 237090715200 239972025975 245949976800 251316158112 255970161040 260799786720 261787664700 279240175680 287966431170 289777540800 307164193248 314145197640 319962701300 325999733400 345559717404 349050219600 383955241560 392681497050 418860263520 431949646755 434666311200 460746289872 465400292800 479944051950 491899953600 502632316224 511940322080 521599573440 523575329400 575932862340 614328386496 628290395280 639925402600 651999466800 691119434808 698100439200 719916077925 767910483120 785362994100 837720527040 863899293510 869332622400 921492579744 959888103900 1023880644160 1047150658800 1151865724680 1256580790560 1279850805200 1303998933600 1382238869616 1396200878400 1439832155850 1535820966240 1570725988200 1727798587020 1842985159488 1919776207800 2094301317600 2159748233775 2303731449360 2513161581120 2559701610400 2607997867200 2764477739232 2879664311700 3071641932480 3141451976400 3455597174040 3839552415600 4188602635200 4319496467550 4607462898720 5119403220800 5528955478464 5759328623400 6282903952800 6911194348080 7679104831200 8638992935100 9214925797440 11518657246800 12565807905600 13822388696160 15358209662400 17277985870200 23037314493600 27644777392320 34555971740400 46074628987200 69111943480800 138223886961600
- Sum of all divisors σ(n): 562077545448960
- Sum of proper divisors (its aliquot sum) s(n): 423853658487360
- 138223886961600 is an abundant number, because the sum of its proper divisors (423853658487360) is greater than itself. Its abundance is 285629771525760
Bases of 138223886961600
- Binary: 111110110110110110000011010111010001011110000002
- Hexadecimal: 0x7DB6C1AE8BC0
- Base-36: 1CZV6DGMO0
Squares and roots of 138223886961600
- 138223886961600 squared (1382238869616002) is 19105842926773174479874560000
- 138223886961600 cubed (1382238869616003) is 2640883873016380175549375055587536896000000
-
The
square root of 138223886961600 is 11756865.5245180039 -
The
cube root of 138223886961600 is 51704.4235423779
Scales and comparisons
How big is 138223886961600?- 138,223,886,961,600 seconds is equal to 4,395,092 years, 2 weeks, 4 days, 12 hours.
-
To count from 1 to 138,223,886,961,600 would take you about ten million, nine hundred eighty-seven thousand, seven hundred thirty 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 138223886961600 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138223886961600
- 138223886961600 backwards is 006169688322831
- The number of decimal digits it has is: 15
- The sum of 138223886961600's digits is 63
- 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 138223886961600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138223886961600 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138223886961600/
Chicago style:
Numbermatics. 2024. "Number 138223886961600 - Facts about the integer". https://numbermatics.com/n/138223886961600/
The information we have on file for 138223886961600 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 138223886961600, math, Factors of 138223886961600, curriculum, school, college, exams, university, Prime factorization of 138223886961600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred twenty-three billion, eight hundred eighty-six million, nine hundred sixty-one thousand, six hundred.