138046853817600
138,046,853,817,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138046853817600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
138046853817600 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 138046853817600:
28 × 3 × 52 × 7 × 13 × 53 × 421 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 53 × 421 × 3541)See below for interesting mathematical facts about the number 138046853817600 from the Numbermatics database.
Names of 138046853817600
- Cardinal: 138046853817600 can be written as One hundred thirty-eight trillion, forty-six billion, eight hundred fifty-three million, eight hundred seventeen thousand, six hundred.
Scientific notation
- Scientific notation: 1.380468538176 × 1014
Factors of 138046853817600
Divisors of 138046853817600
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 50 52 53 56 60 64 65 70 75 78 80 84 91 96 100 104 105 106 112 120 128 130 140 150 156 159 160 168 175 182 192 195 200 208 210 212 224 240 256 260 265 273 280 300 312 318 320 325 336 350 364 371 384 390 400 416 420 421 424 448 455 480 520 525 530 546 560 600 624 636 640 650 672 689 700 728 742 768 780 795 800 832 840 842 848 896 910 960 975 1040 1050 1060 1092 1113 1120 1200 1248 1263 1272 1280 1300 1325 1344 1365 1378 1400 1456 1484 1560 1590 1600 1664 1680 1684 1696 1792 1820 1855 1920 1950 2067 2080 2100 2105 2120 2184 2226 2240 2275 2400 2496 2526 2544 2600 2650 2688 2730 2756 2800 2912 2947 2968 3120 3180 3200 3328 3360 3368 3392 3445 3541 3640 3710 3840 3900 3975 4134 4160 4200 4210 4240 4368 4452 4480 4550 4800 4823 4992 5052 5088 5200 5300 5376 5460 5473 5512 5565 5600 5824 5894 5936 6240 6315 6360 6400 6720 6736 6784 6825 6890 7082 7280 7420 7800 7950 8268 8320 8400 8420 8480 8736 8841 8904 8960 9100 9275 9600 9646 9984 10104 10176 10335 10400 10525 10600 10623 10920 10946 11024 11130 11200 11648 11788 11872 12480 12630 12720 13440 13472 13568 13650 13780 14164 14469 14560 14735 14840 15600 15900 16419 16536 16640 16800 16840 16960 17225 17472 17682 17705 17808 18200 18550 19200 19292 20208 20352 20670 20800 21050 21200 21246 21840 21892 22048 22260 22313 22400 23296 23576 23744 24115 24787 24960 25260 25440 26880 26944 27300 27365 27560 27825 28328 28938 29120 29470 29680 31200 31575 31800 32838 33072 33600 33680 33920 34450 34944 35364 35410 35616 36400 37100 38311 38584 40416 40704 41340 41600 42100 42400 42492 43680 43784 44096 44205 44520 44626 44800 46033 47152 47488 48230 49574 49920 50520 50880 51675 53115 53888 54600 54730 55120 55650 56656 57876 58240 58940 59360 62400 63150 63600 65676 66144 66939 67200 67360 67840 68900 69888 70728 70820 71232 72345 72800 73675 74200 74361 76622 77168 80832 82095 82680 83200 84200 84800 84984 87360 87568 88192 88410 88525 89040 89252 92066 94304 94976 96460 99148 101040 101760 103350 106230 107776 109200 109460 110240 111300 111565 113312 114933 115752 116480 117880 118720 120575 123935 124800 126300 127200 131352 132288 133878 134400 134720 136825 137800 138099 141456 141640 142464 144690 145600 147350 148400 148722 153244 154336 156191 161664 164190 165360 168400 169600 169968 174720 175136 176384 176820 177050 178080 178504 184132 187673 188608 191555 192920 198296 202080 203520 206700 212460 218400 218920 220480 221025 222600 223130 226624 229866 230165 231504 235760 237440 241150 247870 249600 252600 254400 262704 264576 265575 267756 269440 273650 275600 276198 282912 283280 284928 289380 290069 291200 294700 296800 297444 306488 308672 312382 322231 323328 328380 330720 334695 336800 339200 339936 349440 350272 353640 354100 356160 357008 361725 368264 371805 375346 377216 383110 385840 396592 404160 410475 413400 424920 436800 437840 440960 442050 445200 446260 453248 459732 460330 463008 468573 471520 474880 482300 495740 505200 508800 525408 529152 531150 535512 538880 547300 551200 552396 557825 563019 565824 566560 574665 578760 580138 582400 589400 593600 594888 612976 617344 619675 624764 644462 656760 661440 669390 673600 679872 690495 700544 707280 708200 712320 714016 723450 736528 743610 750692 754432 766220 771680 780955 793184 808320 820950 826800 849840 870207 873600 875680 881920 884100 890400 892520 906496 919464 920660 926016 937146 938365 943040 957775 964600 966693 991480 1010400 1017600 1050816 1062300 1071024 1094600 1102400 1104792 1115650 1126038 1131648 1133120 1149330 1150825 1157520 1160276 1178800 1187200 1189776 1225952 1234688 1239350 1249528 1288924 1313520 1313711 1322880 1338780 1347200 1359744 1380990 1401088 1414560 1416400 1424640 1428032 1446900 1450345 1473056 1487220 1490761 1501384 1532440 1543360 1561910 1586368 1611155 1616640 1641900 1653600 1673475 1699680 1740414 1747200 1751360 1768200 1780800 1785040 1838928 1841320 1852032 1859025 1874292 1876730 1886080 1915550 1929200 1933386 1982960 2020800 2030483 2101632 2124600 2142048 2189200 2204800 2209584 2231300 2252076 2263296 2266240 2298660 2301650 2315040 2320552 2342865 2357600 2374400 2379552 2439749 2451904 2478700 2499056 2577848 2627040 2627422 2645760 2677560 2694400 2719488 2761980 2815095 2829120 2832800 2856064 2873325 2893800 2900690 2946112 2974440 2981522 3002768 3064880 3086720 3123820 3172736 3222310 3283800 3307200 3346950 3399360 3452475 3480828 3502720 3536400 3561600 3570080 3677856 3682640 3704064 3718050 3748584 3753460 3772160 3831100 3858400 3866772 3904775 3941133 3965920 4041600 4060966 4203264 4249200 4284096 4351035 4378400 4409600 4419168 4462600 4472283 4504152 4532480 4597320 4603300 4630080 4641104 4685730 4691825 4715200 4759104 4833465 4879498 4903808 4957400 4998112 5155696 5254080 5254844 5355120 5523960 5630190 5658240 5665600 5712128 5746650 5787600 5801380 5892224 5948880 5963044 6005536 6091449 6129760 6173440 6247640 6345472 6444620 6567600 6568555 6614400 6693900 6798720 6904950 6961656 7005440 7072800 7123200 7140160 7251725 7319247 7355712 7365280 7436100 7453805 7497168 7506920 7662200 7716800 7733544 7809550 7882266 7931840 8055775 8083200 8121932 8498400 8568192 8702070 8756800 8838336 8925200 8944566 9008304 9194640 9206600 9260160 9282208 9371460 9383650 9430400 9518208 9666930 9758996 9807616 9914800 9996224 10152415 10311392 10435327 10508160 10509688 10710240 11047920 11260380 11316480 11331200 11493300 11575200 11602760 11714325 11784448 11897760 11926088 12011072 12182898 12198745 12259520 12495280 12889240 13135200 13137110 13228800 13387800 13597440 13809900 13923312 14075475 14145600 14280320 14503450 14638494 14711424 14730560 14872200 14907610 14994336 15013840 15324400 15433600 15467088 15619100 15764532 15863680 16111550 16243864 16996800 17078243 17136384 17404140 17513600 17676672 17850400 17889132 18016608 18389280 18413200 18520320 18564416 18742920 18767300 18860800 19036416 19333860 19379893 19517992 19705665 19829600 19992448 20304830 20622784 20870654 21016320 21019376 21420480 21755175 22095840 22361415 22520760 22662400 22986600 23150400 23205520 23428650 23795520 23852176 24022144 24167325 24365796 24397490 24519040 24990560 25778480 26270400 26274220 26775600 27619800 27846624 28150950 28291200 28560640 29006900 29276988 29422848 29461120 29744400 29815220 29988672 30027680 30457245 30648800 30867200 30934176 31238200 31305981 31529064 31727360 32223100 32487728 32842775 33993600 34156486 34808280 35027200 35353344 35700800 35778264 36033216 36596235 36778560 36826400 37128832 37269025 37485840 37534600 38667720 38759786 39035984 39411330 39659200 39984896 40609660 41245568 41741308 42038752 42840960 43510350 44191680 44722830 45041520 45973200 46300800 46411040 46857300 47591040 47704352 48044288 48334650 48731592 48794980 49038080 49981120 50762075 51234729 51556960 52176635 52540800 52548440 53551200 55239600 55693248 56301900 56582400 58013800 58139679 58553976 58922240 59488800 59630440 59977344 60055360 60914490 60993725 61297600 61868352 62476400 62611962 63058128 64446200 64975456 65685550 67987200 68312972 69616560 71401600 71556528 72066432 73192470 73557120 73652800 74257664 74538050 74971680 75069200 77335440 77519572 78071968 78822660 79010333 79318400 81219320 82491136 83482616 84077504 85391215 85681920 87020700 88383360 89445660 90083040 91946400 92601600 92822080 93714600 95182080 95408704 96669300 96899465 97463184 97589960 98528325 99962240 101524150 102469458 103113920 104353270 105081600 105096880 107102400 110479200 111386496 111807075 112603800 116027600 116279358 117107952 118977600 119260880 119954688 120110720 121828980 121987450 122595200 123736704 124952800 125223924 126116256 128892400 129950912 131371100 135659251 136625944 139233120 142803200 143113056 144132864 146384940 147114240 147305600 149076100 149943360 150138400 152286225 154670880 155039144 156143936 156529905 157645320 158020666 158636800 162438640 166965232 168155008 170782430 174041400 176766720 178891320 180166080 182981175 183892800 185644160 187429200 190817408 193338600 193798930 194926368 195179920 197056650 199924480 203048300 204938916 206227840 208706540 210193760 214204800 220958400 222772992 223614150 225207600 232055200 232558716 234215904 237030999 237955200 238521760 240221440 243657960 243974900 245190400 247473408 249905600 250447848 252232512 256173645 257784800 259901824 260883175 262742200 271318502 273251888 278466240 286226112 290698395 292769880 294611200 298152200 299886720 300276800 304572450 309341760 310078288 312287872 313059810 315290640 316041332 324877280 333930464 336310016 341564860 348082800 357782640 360332160 365962350 367785600 371288320 374858400 381634816 386677200 387597860 389852736 390359840 394113300 395051665 406096600 406977753 409877832 412455680 417413080 420387520 426956075 428409600 441916800 447228300 450415200 464110400 465117432 468431808 474061998 475910400 477043520 484497325 487315920 487949800 499811200 500895696 504465024 512347290 515569600 519803648 521766350 525484400 542637004 546503776 553072331 556932480 572452224 581396790 585539760 596304400 599773440 600553600 609144900 618683520 620156576 624575744 626119620 630581280 632082664 649754560 667860928 678296255 683129720 696165600 715565280 720664320 731924700 735571200 749716800 773354400 775195720 779705472 780719680 782649525 788226600 790103330 812193200 813955506 819755664 834826160 840775040 853912150 883833600 894456600 900830400 928220800 930234864 936863616 948123996 954087040 968994650 974631840 975899600 999622400 1001791392 1008930048 1024694580 1027134329 1031139200 1043532700 1050968800 1085274008 1093007552 1106144662 1113864960 1144904448 1162793580 1171079520 1185154995 1192608800 1201107200 1218289800 1237367040 1240313152 1252239240 1261162560 1264165328 1280868225 1299509120 1335721856 1356592510 1366259440 1392331200 1431130560 1453491975 1463849400 1499433600 1546708800 1550391440 1559410944 1561439360 1565299050 1576453200 1580206660 1624386400 1627911012 1639511328 1659216993 1669652320 1681550080 1707824300 1788913200 1801660800 1856441600 1860469728 1873727232 1896247992 1908174080 1937989300 1949263680 1951799200 1975258325 2003582784 2034888765 2049389160 2054268658 2062278400 2087065400 2101937600 2170548016 2186015104 2212289324 2325587160 2342159040 2370309990 2385217600 2436579600 2480626304 2504478480 2522325120 2528330656 2561736450 2599018240 2671443712 2713185020 2732518880 2765361655 2784662400 2862261120 2906983950 2927698800 2998867200 3081402987 3093417600 3100782880 3122878720 3130598100 3152906400 3160413320 3248772800 3255822024 3279022656 3318433986 3339304640 3391481275 3415648600 3577826400 3603321600 3720939456 3792495984 3875978600 3898527360 3903598400 3950516650 4007165568 4069777530 4098778320 4108537316 4174130800 4203875200 4341096032 4372030208 4424578648 4651174320 4684318080 4740619980 4770435200 4873159200 4961252608 5008956960 5044650240 5056661312 5123472900 5135671645 5426370040 5465037760 5530723310 5569324800 5724522240 5813967900 5855397600 5925774975 6162805974 6186835200 6201565760 6261196200 6305812800 6320826640 6497545600 6511644048 6558045312 6636867972 6678609280 6782962550 6831297200 7155652800 7189940303 7441878912 7584991968 7751957200 7797054720 7807196800 7901033300 8014331136 8139555060 8197556640 8217074632 8296084965 8348261600 8407750400 8682192064 8849157296 9302348640 9368636160 9481239960 9540870400 9746318400 10017913920 10113322624 10174443825 10246945800 10271343290 10852740080 10930075520 11061446620 11627935800 11710795200 11851549950 12325611948 12403131520 12522392400 12611625600 12641653280 12995091200 13023288096 13116090624 13273735944 13357218560 13565925100 13662594400 13826808275 14311305600 14379880606 14883757824 15169983936 15407014935 15503914400 15614393600 15802066600 16279110120 16395113280 16434149264 16592169930 16696523200 17364384128 17698314592 18604697280 18962479920 19492636800 20035827840 20226645248 20348887650 20493891600 20542686580 21569820909 21705480160 21860151040 22122893240 23255871600 23421590400 23703099900 24651223896 24806263040 25044784800 25223251200 25283306560 25678358225 26046576192 26547471888 27131850200 27325188800 27653616550 28622611200 28759761212 30339967872 30814029870 31007828800 31604133200 32558220240 32790226560 32868298528 33184339860 33393046400 34728768256 35396629184 35949701515 37209394560 37924959840 38985273600 40071655680 40697775300 40987783200 41085373160 41480424825 43139641818 43410960320 44245786480 46511743200 46843180800 47406199800 49302447792 50089569600 50566613120 51356716450 52093152384 53094943776 54263700400 54650377600 55307233100 57519522424 60679935744 61628059740 62015657600 63208266400 65116440480 65580453120 65736597056 66368679720 66786092800 70793258368 71899403030 74418789120 75849919680 77035074675 81395550600 81975566400 82170746320 82960849650 86279283636 86821920640 88491572960 93023486400 94812399600 98604895584 100179139200 101133226240 102713432900 104186304768 106189887552 107849104545 108527400800 109300755200 110614466200 115039044848 123256119480 124031315200 126416532800 130232880960 131473194112 132737359440 141586516736 143798806060 151699839360 154070149350 162791101200 163951132800 164341492640 165921699300 172558567272 173643841280 176983145920 179748507575 186046972800 189624799200 197209791168 200358278400 205426865800 212379775104 215698209090 217054801600 221228932400 230078089696 246512238960 252833065600 260465761920 262946388224 265474718880 287597612120 303399678720 308140298700 325582202400 327902265600 328682985280 331843398600 345117134544 353966291840 359497015150 372093945600 379249598400 394419582336 410853731600 424759550208 431396418180 434109603200 442457864800 460156179392 493024477920 505666131200 520931523840 530949437760 539245522725 575195224240 616280597400 651164404800 657365970560 663686797200 690234269088 707932583680 718994030300 758499196800 788839164672 821707463200 862792836360 868219206400 884915729600 920312358784 986048955840 1061898875520 1078491045450 1150390448480 1232561194800 1302328809600 1314731941120 1327373594400 1380468538176 1437988060600 1516998393600 1643414926400 1725585672720 1769831459200 1840624717568 1972097911680 2123797751040 2156982090900 2300780896960 2465122389600 2604657619200 2654747188800 2760937076352 2875976121200 3286829852800 3451171345440 3539662918400 3944195823360 4313964181800 4601561793920 4930244779200 5309494377600 5521874152704 5751952242400 6573659705600 6902342690880 8627928363600 9203123587840 9860489558400 10618988755200 11503904484800 13804685381760 17255856727200 19720979116800 23007808969600 27609370763520 34511713454400 46015617939200 69023426908800 138046853817600
- Sum of all divisors σ(n): 572816310409728
- Sum of proper divisors (its aliquot sum) s(n): 434769456592128
- 138046853817600 is an abundant number, because the sum of its proper divisors (434769456592128) is greater than itself. Its abundance is 296722602774528
Bases of 138046853817600
- Binary: 111110110001101100010011010111100100101000000002
- Hexadecimal: 0x7D8D89AF2500
- Base-36: 1CXLUKHYIO
Squares and roots of 138046853817600
- 138046853817600 squared (1380468538176002) is 19056933848937823694069760000
- 138046853817600 cubed (1380468538176003) is 2630749761255993068526729782736715776000000
-
The
square root of 138046853817600 is 11749334.1861400811 -
The
cube root of 138046853817600 is 51682.3402699801
Scales and comparisons
How big is 138046853817600?- 138,046,853,817,600 seconds is equal to 4,389,462 years, 49 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,046,853,817,600 would take you about ten million, nine hundred seventy-three thousand, six hundred fifty-seven 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 138046853817600 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138046853817600
- 138046853817600 backwards is 006718358640831
- 138046853817600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138046853817600's digits is 60
- 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 138046853817600 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 138046853817600 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138046853817600/
Chicago style:
Numbermatics. 2024. "Number 138046853817600 - Facts about the integer". https://numbermatics.com/n/138046853817600/
The information we have on file for 138046853817600 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 138046853817600, math, Factors of 138046853817600, curriculum, school, college, exams, university, Prime factorization of 138046853817600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, forty-six billion, eight hundred fifty-three million, eight hundred seventeen thousand, six hundred.