138268048105200
138,268,048,105,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138268048105200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
138268048105200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138268048105200:
24 × 3 × 52 × 132 × 412 × 612 × 109
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 41 × 41 × 61 × 61 × 109)See below for interesting mathematical facts about the number 138268048105200 from the Numbermatics database.
Names of 138268048105200
- Cardinal: 138268048105200 can be written as One hundred thirty-eight trillion, two hundred sixty-eight billion, forty-eight million, one hundred five thousand, two hundred.
Scientific notation
- Scientific notation: 1.382680481052 × 1014
Factors of 138268048105200
Divisors of 138268048105200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 41 48 50 52 60 61 65 75 78 80 82 100 104 109 120 122 123 130 150 156 164 169 183 195 200 205 208 218 240 244 246 260 300 305 312 325 327 328 338 366 390 400 410 436 488 492 507 520 533 545 600 610 615 624 650 654 656 676 732 780 793 820 845 872 915 975 976 984 1014 1025 1040 1066 1090 1200 1220 1230 1300 1308 1352 1417 1464 1525 1560 1586 1599 1635 1640 1681 1690 1744 1830 1950 1968 2028 2050 2132 2180 2379 2440 2460 2501 2535 2600 2616 2665 2704 2725 2834 2928 3050 3075 3120 3172 3198 3270 3280 3362 3380 3660 3721 3900 3965 4056 4100 4225 4251 4264 4360 4469 4575 4758 4880 4920 5002 5043 5070 5200 5232 5330 5450 5668 6100 6150 6344 6396 6540 6649 6724 6760 6929 7085 7320 7442 7503 7800 7930 7995 8112 8175 8200 8405 8450 8502 8528 8720 8938 9150 9516 9840 10004 10086 10140 10309 10660 10900 11163 11336 11895 12200 12300 12505 12675 12688 12792 13080 13298 13325 13407 13448 13520 13858 14170 14640 14884 15006 15600 15860 15990 16350 16400 16810 16900 17004 17876 18300 18421 18605 19032 19825 19947 20008 20172 20280 20618 20787 21255 21320 21800 21853 22326 22345 22672 23790 24400 24600 25010 25215 25350 25584 26160 26596 26650 26814 26896 27716 28340 29768 30012 30927 31720 31980 32513 32700 33245 33620 33800 34008 34645 35425 35752 36600 36842 37210 37515 38064 39650 39894 39975 40016 40344 40560 41236 41574 42025 42510 42640 43600 43706 44652 44690 47580 48373 49200 50020 50430 50700 51545 53192 53300 53628 55263 55432 55815 56680 58097 59475 59536 60024 61854 62525 63440 63960 65026 65400 65559 66490 67035 67240 67600 68016 69290 70850 71504 73200 73684 74420 75030 79300 79788 79950 80688 82472 83148 84050 85020 86437 87412 89304 89380 92105 93025 95160 96746 97539 99735 100040 100860 101400 102541 103090 103935 106275 106384 106600 107256 109265 110526 110864 111630 111725 113360 116194 118950 120048 123708 125050 126075 127920 130052 130800 131118 132980 134070 134480 138580 141700 145119 147368 148840 150060 152561 154635 158600 159576 159900 162565 164944 166225 166296 168100 170040 172874 173225 174291 174824 178608 178760 183229 184210 186050 187575 190320 193492 195078 199470 200080 201720 202800 205082 206180 207870 212550 213200 214512 218530 221052 223260 223450 232388 237900 241865 247416 250100 252150 257725 259311 260104 262236 265960 268140 272609 276315 277160 279075 283400 284089 290238 290485 294736 297680 300120 305122 307623 309270 317200 319152 319800 325130 327795 332450 332592 335175 336200 340080 345748 346450 348582 349648 357520 366458 368420 372100 375150 386984 390156 398940 403440 405589 410164 412360 415740 422669 425100 432185 437060 442104 446520 446900 457683 460525 464776 475800 483730 487695 494832 498675 500200 504300 512705 515450 518622 519675 520208 524472 531920 536280 545218 546325 549687 552630 554320 558150 566800 568178 580476 580970 600240 610244 615246 618540 628849 639600 650260 655590 664900 670350 672400 691496 692900 697164 725595 732916 736840 744200 750300 755261 762805 773175 773968 780312 797880 811178 812825 817827 820328 824720 831480 845338 850200 852267 864370 871455 874120 884208 893040 893800 915366 916145 921050 929552 951600 967460 975390 997350 1000400 1008600 1025410 1030900 1037244 1039350 1048944 1072560 1090436 1092650 1099374 1105260 1116300 1123681 1136356 1160952 1161940 1209325 1216767 1220488 1230492 1237080 1257698 1268007 1296555 1300520 1311180 1329800 1333033 1340700 1363045 1381575 1382992 1385800 1394328 1420445 1451190 1452425 1465832 1473680 1488400 1500600 1510522 1525610 1538115 1546350 1560624 1595760 1622356 1625650 1635654 1638975 1640656 1662960 1690676 1700400 1704534 1728740 1742910 1748240 1787600 1830732 1832290 1842100 1886547 1934920 1950780 1983293 1994700 2017200 2027945 2050820 2061800 2074488 2078700 2113345 2160925 2180872 2185300 2198748 2210520 2232600 2247362 2265783 2272712 2288415 2321904 2323880 2381977 2418650 2433534 2438475 2440976 2460984 2474160 2515396 2536014 2563525 2593110 2601040 2622360 2659600 2666066 2681400 2726090 2748435 2763150 2771600 2788656 2840890 2902380 2904850 2931664 3001200 3021044 3051220 3076230 3092700 3144245 3244712 3251300 3271308 3277950 3371043 3381352 3409068 3457480 3485820 3543917 3627975 3661464 3664580 3684200 3773094 3776305 3814025 3869840 3901560 3966586 3989400 3999099 4055890 4089135 4101640 4123600 4148976 4157400 4226690 4261335 4321850 4357275 4361744 4370600 4397496 4421040 4465200 4494724 4531566 4545424 4576830 4580725 4647760 4763954 4837300 4867068 4876950 4921968 5030792 5072028 5127050 5186220 5244720 5272657 5332132 5362800 5452180 5496870 5526300 5618405 5681780 5804760 5809700 5949879 6042088 6083835 6102440 6152460 6185400 6255001 6288490 6340035 6482775 6489424 6502600 6542616 6555900 6665165 6742086 6762704 6815225 6818136 6914960 6971640 7087834 7102225 7145931 7255950 7322928 7329160 7368400 7546188 7552610 7628050 7690575 7803120 7933172 7978800 7998198 8111780 8178270 8203280 8314800 8453380 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24609840 25020004 25153960 25360140 25782809 25931100 26223600 26363285 26660660 26968344 27260900 27484350 28092025 28351336 28408900 28583724 29023800 29749395 30184752 30210440 30419175 30512200 30762300 30965701 31275005 31442450 31635942 31700175 31732688 31992792 32447120 32713080 33258298 33325825 33530907 33710430 33813520 34090680 34574800 34658858 34858200 35439170 35729655 36252528 36614640 36645800 37530006 37730940 37763050 38111632 39015600 39665860 39990990 40558900 40891350 41016400 42181256 42266900 42527004 42613350 43974960 44707876 44947240 45315660 45768300 46070921 47163675 47599032 47639540 48670680 49582325 49887447 50040008 50307920 50720280 51565618 51862200 51988287 52726570 53158755 53321320 53936688 54521800 54968700 55884845 56184050 56644575 56702672 56817800 57167448 58047600 59498790 59549425 60420880 60838350 61024400 61524600 61931402 62550010 62884900 63271884 63400350 63985584 65426160 66516596 66651650 67061814 67420860 68181360 68544541 69317716 69716400 70878340 71459310 73291600 75060012 75461880 75526100 77348427 79089855 79331720 79981980 81117800 81315013 81782700 83145745 84276075 84362512 84533800 85054008 85226700 86647145 88597925 89415752 89894480 90631320 91536600 92141842 92897103 93825015 94327350 95198064 95279080 97341360 99164650 99774894 99977475 100080016 101440560 103131236 103724400 103976574 105453140 106317510 106642640 109043600 109937400 111769690 112368100 113289150 113635600 114334896 118997580 119098850 121676700 123049200 123862804 125100020 125769800 126543768 126800700 128914045 131816425 133033192 133303300 134123628 134841720 137089082 138212763 138635432 141756680 142918620 145300597 148746975 150120024 150923760 151052200 154696854 154828505 156375025 158179710 158663440 159963960 162235600 162630026 163565400 166291490 167654535 168552150 169067600 170108016 170453400 173294290 177195850 178648275 178831504 181262640 183073200 184283684 185794206 187650030 188654700 190558160 198329300 199549788 199954950 205633623 206262472 207953148 210906280 212635020 216178937 219874800 223539380 224736200 226578300 230354605 237995160 238197700 243353400 243945039 247725608 249437235 250200040 251539600 253087536 253601400 257828090 259941435 263632850 265793775 266066384 266606600 268247256 269683440 274178164 276425526 277270864 279424225 283513360 285837240 290601194 297493950 300240048 302104400 309393708 309657010 312750050 316359420 319927920 325260052 327130800 332582980 335309070 337104300 340906800 342722705 346588580 354391700 357296550 368567368 371588412 375300060 377309400 386742135 395449275 396658600 399099576 399909900 406575065 411267246 412524944 415728725 415906296 421812560 425270040 432357874 433235725 435901791 447078760 449472400 453156600 460709210 464485515 469125075 475990320 476395400 486706800 487890078 495451216 498874470 500400080 507202800 515656180 519882870 527265700 531587550 533213200 536494512 548356328 552851052 558848450 571674480 581202388 594987900 618787416 619314020 625500100 632718840 644570225 648536811 650520104 665165960 670618140 674208600 681795109 685445410 691063815 693177160 708783400 714593100 726502985 737134736 743176824 750600120 754618800 773484270 774142525 790898550 793317200 798199152 799819800 813150130 822534492 831457450 831812592 838272675 850540080 864715748 866471450 871803582 894157520 906313200 921418420 928971030 938250150 952790800 975780156 997748940 1028168115 1031312360 1039765740 1054531400 1057095169 1063175100 1080894685 1096712656 1105702104 1117696900 1151773025 1162404776 1189975800 1219725195 1237574832 1238628040 1247186175 1251000200 1265437680 1289140450 1297073622 1299707175 1301040208 1330331920 1341236280 1348417200 1363590218 1370890820 1382127630 1386354320 1417566800 1429186200 1453005970 1486353648 1501200240 1546968540 1548285050 1581797100 1599639600 1626300260 1645068984 1662914900 1676545350 1713613525 1729431496 1732942900 1743607164 1842836840 1857942060 1876500300 1888907761 1933710675 1951560312 1995497880 2032875325 2045385327 2056336230 2062624720 2079531480 2109062800 2114190338 2126350200 2161789370 2179508955 2211404208 2235393800 2303546050 2322427575 2324809552 2379951600 2439450390 2477256080 2494372350 2502000400 2578280900 2594147244 2599414350 2682472560 2727180436 2741781640 2764255260 2810326181 2858372400 2906011940 3093937080 3096570100 3163594200 3171285507 3242684055 3252600520 3290137968 3325829800 3353090700 3408975545 3427227050 3455319075 3458862992 3465885800 3487214328 3632514925 3685673680 3715884120 3753000600 3777815522 3867421350 3903120624 3990995760 4065750650 4090770654 4112672460 4159062960 4228380676 4252700400 4323578740 4359017910 4470787600 4607092100 4644855150 4878900780 4988744700 5140840575 5156561800 5188294488 5198828700 5285475845 5404473425 5454360872 5483563280 5528510520 5620652362 5666723283 5812023880 6098625975 6187874160 6193140200 6327188400 6342571014 6485368110 6505201040 6651659600 6706181400 6817951090 6854454100 6910638150 6931771600 6974428656 7265029850 7431768240 7506001200 7555631044 7734842700 8131501300 8181541308 8225344920 8430978543 8456761352 8647157480 8718035820 8863336417 9214184200 9289710300 9444538805 9757801560 9977489400 10226926635 10281681150 10313123600 10376588976 10397657400 10570951690 10808946850 10897544775 10908721744 11057021040 11241304724 11333446566 11624047760 12197251950 12386280400 12685142028 12970736220 13412362800 13635902180 13708908200 13821276300 14051630905 14530059700 15111262088 15469685400 15856427535 16213420275 16263002600 16363082616 16450689840 16861957086 16913522704 17044877725 17294314960 17436071640 17726672834 18428368400 18579420600 18889077610 19515603120 19954978800 20453853270 20563362300 20795314800 21141903380 21617893700 21795089550 22482609448 22666893132 24394503900 25370284056 25941472440 26427379225 26590009251 27271804360 27417816400 27642552600 28103261810 28333616415 29060119400 30222524176 30939370800 31712855070 32426840550 32526005200 32726165232 33723914172 34089755450 34872143280 35453345668 37158841200 37778155220 40907706540 41126724600 42154892715 42283806760 43235787400 43590179100 44316682085 44965218896 45333786264 47222694025 48789007800 50740568112 51134633175 51882944880 52854758450 53180018502 54543608720 55285105200 56206523620 56667232830 58120238800 63425710140 64853681100 67447828344 68179510900 70258154525 70906691336 75556310440 79282137675 81815413080 82253449200 84309785430 84567613520 86471574800 87180358200 88633364170 90667572528 94445388050 97578015600 102269266350 105709516900 106360037004 112413047240 113334465660 115223373421 126851420280 129707362200 132950046255 134895656688 136359021800 140516309050 141668082075 141813382672 151112620880 158564275350 163630826160 168619570860 174360716400 177266728340 188890776100 204538532700 210774463575 211419033800 212720074008 221583410425 224826094480 226668931320 230446746842 253702840560 259414724400 265900092510 272718043600 281032618100 283336164150 317128550700 337239141720 345670120263 354533456680 377781552200 409077065400 421548927150 422838067600 425440148016 443166820850 453337862640 460893493684 531800185020 562065236200 566672328300 576116867105 634257101400 664750231275 674478283440 691340240526 709066913360 755563104400 818154130800 843097854300 886333641700 921786987368 1063600370040 1124130472400 1133344656600 1152233734210 1268514202800 1329500462550 1382680481052 1686195708600 1728350601315 1772667283400 1843573974736 2127200740080 2266689313200 2304467468420 2659000925100 2765360962104 2880584335525 3372391417200 3456701202630 3545334566800 4608934936840 5318001850200 5530721924208 5761168671050 6913402405260 8641753006575 9217869873680 10636003700400 11522337342100 13826804810520 17283506013150 23044674684200 27653609621040 34567012026300 46089349368400 69134024052600 138268048105200
- Sum of all divisors σ(n): 504369449349480
- Sum of proper divisors (its aliquot sum) s(n): 366101401244280
- 138268048105200 is an abundant number, because the sum of its proper divisors (366101401244280) is greater than itself. Its abundance is 227833353139080
Bases of 138268048105200
- Binary: 111110111000001000010011110010000011110111100002
- Hexadecimal: 0x7DC109E41EF0
- Base-36: 1D0FGPV75C
Squares and roots of 138268048105200
- 138268048105200 squared (1382680481052002) is 19118053126821901310267040000
- 138268048105200 cubed (1382680481052003) is 2643415889417179926760929997378012608000000
-
The
square root of 138268048105200 is 11758743.4747595375 -
The
cube root of 138268048105200 is 51709.9293040797
Scales and comparisons
How big is 138268048105200?- 138,268,048,105,200 seconds is equal to 4,396,496 years, 12 weeks, 2 days, 20 hours, 20 minutes.
-
To count from 1 to 138,268,048,105,200 would take you about ten million, nine hundred ninety-one thousand, two hundred forty 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 138268048105200 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138268048105200
- 138268048105200 backwards is 002501840862831
- 138268048105200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138268048105200's digits is 48
- More coming soon!
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"Number 138268048105200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138268048105200 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138268048105200/
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The information we have on file for 138268048105200 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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