138842801472086170817400
138,842,801,472,086,170,817,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138842801472086170817400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138842801472086170817400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138842801472086170817400:
23 × 35 × 52 × 72 × 157 × 371356787588113
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 157 × 371356787588113)See below for interesting mathematical facts about the number 138842801472086170817400 from the Numbermatics database.
Names of 138842801472086170817400
- Cardinal: 138842801472086170817400 can be written as One hundred thirty-eight sextillion, eight hundred forty-two quintillion, eight hundred one quadrillion, four hundred seventy-two trillion, eighty-six billion, one hundred seventy million, eight hundred seventeen thousand, four hundred.
Scientific notation
- Scientific notation: 1.388428014720861708174 × 1023
Factors of 138842801472086170817400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 371356787588287
Divisors of 138842801472086170817400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 49 50 54 56 60 63 70 72 75 81 84 90 98 100 105 108 120 126 135 140 147 150 157 162 168 175 180 189 196 200 210 216 225 243 245 252 270 280 294 300 314 315 324 350 360 378 392 405 420 441 450 471 486 490 504 525 540 567 588 600 628 630 648 675 700 735 756 785 810 840 882 900 942 945 972 980 1050 1080 1099 1134 1176 1215 1225 1256 1260 1323 1350 1400 1413 1470 1512 1570 1575 1620 1701 1764 1800 1884 1890 1944 1960 2025 2100 2198 2205 2268 2355 2430 2450 2520 2646 2700 2826 2835 2940 3140 3150 3240 3297 3402 3528 3675 3768 3780 3925 3969 4050 4200 4239 4396 4410 4536 4710 4725 4860 4900 5292 5400 5495 5652 5670 5880 6075 6280 6300 6594 6615 6804 7065 7350 7560 7693 7850 7938 8100 8478 8505 8792 8820 9420 9450 9720 9800 9891 10584 10990 11025 11304 11340 11775 11907 12150 12600 12717 13188 13230 13608 14130 14175 14700 15386 15700 15876 16200 16485 16956 17010 17640 18840 18900 19782 19845 21195 21980 22050 22680 23079 23550 23814 24300 25434 26376 26460 27475 28260 28350 29400 29673 30772 31400 31752 32970 33075 33912 34020 35325 37800 38151 38465 39564 39690 42390 42525 43960 44100 46158 47100 47628 48600 49455 50868 52920 54950 56520 56700 59346 59535 61544 63585 65940 66150 68040 69237 70650 76302 76930 79128 79380 82425 84780 85050 88200 89019 92316 94200 95256 98910 99225 101736 105975 109900 113400 115395 118692 119070 127170 131880 132300 138474 141300 148365 152604 153860 158760 164850 169560 170100 178038 184632 190755 192325 197820 198450 207711 211950 219800 230790 237384 238140 247275 254340 264600 267057 276948 282600 296730 297675 305208 307720 317925 329700 340200 346185 356076 381510 384650 395640 396900 415422 423900 445095 461580 476280 494550 508680 534114 553896 576975 593460 595350 623133 635850 659400 692370 712152 741825 763020 769300 793800 830844 847800 890190 923160 953775 989100 1038555 1068228 1153950 1186920 1190700 1246266 1271700 1335285 1384740 1483650 1526040 1538600 1661688 1730925 1780380 1869399 1907550 1978200 2077110 2136456 2225475 2307900 2381400 2492532 2543400 2670570 2769480 2967300 3115665 3461850 3560760 3738798 3815100 4154220 4450950 4615800 4985064 5192775 5341140 5934600 6231330 6676425 6923700 7477596 7630200 8308440 8901900 9346995 10385550 10682280 12462660 13352850 13847400 14955192 15578325 17803800 18693990 20771100 24925320 26705700 31156650 37387980 41542200 46734975 53411400 62313300 74775960 93469950 124626600 186939900 373879800 371356787588113 742713575176226 1114070362764339 1485427150352452 1856783937940565 2228140725528678 2599497513116791 2970854300704904 3342211088293017 3713567875881130 4456281451057356 5198995026233582 5570351813821695 6684422176586034 7427135751762260 7798492539350373 8912562902114712 9283919689702825 10026633264879051 10397990052467164 11140703627643390 12997487565583955 13368844353172068 14854271503524520 15596985078700746 16711055441465085 18196482591817537 18567839379405650 20053266529758102 20795980104934328 22281407255286780 23395477618051119 25994975131167910 26737688706344136 27851759069108475 30079899794637153 31193970157401492 33422110882930170 36392965183635074 37135678758811300 38992462696751865 40106533059516204 44562814510573560 46790955236102238 50133166324395255 51989950262335820 54589447775452611 55703518138216950 58303015651333741 60159799589274306 62387940314802984 64987437827919775 66844221765860340 70186432854153357 72785930367270148 74271357517622600 77984925393503730 80213066119032408 83555277207325425 90239699383911459 90982412959087685 93581910472204476 100266332648790510 103979900524671640 109178895550905222 111407036276433900 116606031302667482 116977388090255595 120319599178548612 129974875655839550 133688443531720680 140372865708306714 145571860734540296 150399498973185765 155969850787007460 163768343326357833 167110554414650850 174909046954001223 180479398767822918 181964825918175370 187163820944408952 194962313483759325 200532665297581020 210559298562460071 218357791101810444 222814072552867800 233212062605334964 233954776180511190 240639198357097224 250665831621976275 259949751311679100 272947238877263055 280745731416613428 291515078256668705 300798997946371530 311939701574014920 327536686652715666 334221108829301700 349818093908002446 350932164270766785 360958797535645836 363929651836350740 389924626967518650 401065330595162040 408121109559336187 421118597124920142 436715582203620888 451198496919557295 454912064795438425 466424125210669928 467909552361022380 491305029979073499 501331663243952550 519899502623358200 524727140862003669 545894477754526110 561491462833226856 583030156513337410 584886940451277975 601597995892743060 631677895687380213 655073373305431332 668442217658603400 699636187816004892 701864328541533570 721917595071291672 727859303672701480 751997494865928825 779849253935037300 816242219118672374 818841716631789165 842237194249840284 874545234770006115 902396993839114590 909824129590876850 935819104722044760 982610059958146998 1002663326487905100 1049454281724007338 1052796492812300355 1091788955509052220 1166060313026674820 1169773880902555950 1203195991785486120 1224363328678008561 1263355791374760426 1310146746610862664 1364736194386315275 1399272375632009784 1403728657083067140 1457575391283343525 1473915089937220497 1503994989731857650 1559698507870074600 1574181422586011007 1632484438237344748 1637683433263578330 1684474388499680568 1749090469540012230 1754660821353833925 1804793987678229180 1819648259181753700 1965220119916293996 2005326652975810200 2040605547796680935 2098908563448014676 2105592985624600710 2183577911018104440 2255992484597786475 2332120626053349640 2339547761805111900 2448726657356017122 2456525149895367495 2526711582749520852 2623635704310018345 2729472388772630550 2807457314166134280 2856847766915353309 2915150782566687050 2947830179874440994 3007989979463715300 3148362845172022014 3158389478436901065 3264968876474689496 3275366866527156660 3498180939080024460 3509321642707667850 3609587975356458360 3639296518363507400 3673089986034025683 3930440239832587992 4081211095593361870 4094208583158945825 4197817126896029352 4211185971249201420 4372726173850030575 4421745269811661491 4511984969195572950 4679095523610223800 4722544267758033021 4897453314712034244 4913050299790734990 5053423165499041704 5247271408620036690 5263982464061501775 5458944777545261100 5713695533830706618 5830301565133374100 5895660359748881988 6015979958927430600 6121816643390042805 6296725690344044028 6316778956873802130 6550733733054313320 6996361878160048920 7018643285415335700 7346179972068051366 7369575449686102485 7870907112930055035 8162422191186723740 8188417166317891650 8422371942498402840 8570543300746059927 8745452347700061150 8843490539623322982 9023969938391145900 9445088535516066042 9794906629424068488 9826100599581469980 10203027738983404675 10494542817240073380 10527964928123003550 10917889555090522200 11019269958102077049 11427391067661413236 11660603130266748200 11791320719497763976 12243633286780085610 12282625749476837475 12593451380688088056 12633557913747604260 13118178521550091725 14037286570830671400 14167632803274099063 14284238834576766545 14692359944136102732 14739150899372204970 15741814225860110070 15791947392184505325 16324844382373447480 16376834332635783300 17141086601492119854 17490904695400122300 17686981079246645964 18047939876782291800 18365449930170128415 18890177071032132084 19652201199162939960 20406055477966809350 20989085634480146760 21055929856246007100 22038539916204154098 22108726349058307455 22854782135322826472 23612721338790165105 24487266573560171220 24565251498953674950 25267115827495208520 25711629902238179781 26236357043100183450 28335265606548198126 28568477669153533090 29384719888272205464 29478301798744409940 30609083216950214025 31483628451720220140 31583894784369010650 32753668665271566600 33057809874306231147 34282173202984239708 34981809390800244600 35373962158493291928 36730899860340256830 36847877248430512425 37780354142064264168 39354535564650275175 40812110955933618700 42111859712492014200 42852716503730299635 44077079832408308196 44217452698116614910 47225442677580330210 48974533147120342440 49130502997907349900 51423259804476359562 52472714086200366900 55096349790510385245 56670531213096396252 57136955338307066180 58956603597488819880 61218166433900428050 62967256903440440280 63167789568738021300 66115619748612462294 68564346405968479416 70838164016370495315 71421194172883832725 73461799720680513660 73695754496861024850 77134889706714539343 78709071129300550350 81624221911867237400 85705433007460599270 88154159664816616392 88434905396233229820 91827249650850642075 94450885355160660420 98261005995814699800 99173429622918693441 102846519608952719124 104945428172400733800 110192699581020770490 110543631745291537275 113341062426192792504 114273910676614132360 118063606693950825525 122436332867800856100 126335579137476042600 128558149511190898905 132231239497224924588 141676328032740990630 142842388345767665450 146923599441361027320 147391508993722049700 154269779413429078686 157418142258601100700 165289049371531155735 171410866014921198540 176869810792466459640 183654499301701284150 188901770710321320840 198346859245837386882 205693039217905438248 214263582518651498175 220385399162041540980 221087263490583074550 231404669120143618029 236127213387901651050 244872665735601712200 257116299022381797810 264462478994449849176 275481748952551926225 283352656065481981260 285684776691535330900 294783017987444099400 308539558826858157372 314836284517202201400 330578098743062311470 342821732029842397080 354190820081852476575 367308998603402568300 385674448533572696715 396693718491674773764 428527165037302996350 440770798324083081960 442174526981166149100 462809338240287236058 472254426775803302100 495867148114593467205 514232598044763595620 550963497905103852450 566705312130963962520 571369553383070661800 617079117653716314744 642790747555954494525 661156197486124622940 694214007360430854087 708381640163704953150 734617997206805136600 771348897067145393430 793387436983349547528 826445246857655778675 857054330074605992700 884349053962332298200 925618676480574472116 944508853551606604200 991734296229186934410 1028465196089527191240 1101926995810207704900 1157023345600718090145 1285581495111908989050 1322312394972249245880 1388428014720861708174 1416763280327409906300 1542697794134290786860 1652890493715311557350 1714108660149211985400 1851237352961148944232 1928372242667863483575 1983468592458373868820 2203853991620415409800 2314046691201436180290 2479335740572967336025 2571162990223817978100 2776856029441723416348 2833526560654819812600 3085395588268581573720 3305780987430623114700 3471070036802154270435 3856744485335726967150 3966937184916747737640 4628093382402872360580 4958671481145934672050 5142325980447635956200 5553712058883446832696 5785116728003590450725 6611561974861246229400 6942140073604308540870 7713488970671453934300 9256186764805744721160 9917342962291869344100 11570233456007180901450 13884280147208617081740 15426977941342907868600 17355350184010771352175 19834685924583738688200 23140466912014361802900 27768560294417234163480 34710700368021542704350 46280933824028723605800 69421400736043085408700 138842801472086170817400
- Sum of all divisors σ(n): 566079783903680565813840
- Sum of proper divisors (its aliquot sum) s(n): 427236982431594394996440
- 138842801472086170817400 is an abundant number, because the sum of its proper divisors (427236982431594394996440) is greater than itself. Its abundance is 288394180959508224179040
Bases of 138842801472086170817400
- Binary: 111010110011010101110111011111111111000101100010000101100001001010011011110002
- Hexadecimal: 0x1D66AEEFFE2C42C25378
- Base-36: MLXQIIQH5OU3JI0
Squares and roots of 138842801472086170817400
- 138842801472086170817400 squared (1388428014720861708174002) is 19277323520617133762169903751835371384142760000
- 138842801472086170817400 cubed (1388428014720861708174003) is 2676517602486221944587680234718157742519898056288546871027492024000000
-
The
square root of 138842801472086170817400 is 372616158361.5049977069 -
The
cube root of 138842801472086170817400 is 51781479.6260712441
Scales and comparisons
How big is 138842801472086170817400?- 138,842,801,472,086,170,817,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,842,801,472,086,170,817,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138842801472086170817400 cubic inches would be around 4315123.3 feet tall.
Recreational maths with 138842801472086170817400
- 138842801472086170817400 backwards is 004718071680274108248831
- 138842801472086170817400 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 138842801472086170817400's digits is 90
- More coming soon!
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The information we have on file for 138842801472086170817400 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 138842801472086170817400, math, Factors of 138842801472086170817400, curriculum, school, college, exams, university, Prime factorization of 138842801472086170817400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, eight hundred forty-two quintillion, eight hundred one quadrillion, four hundred seventy-two trillion, eighty-six billion, one hundred seventy million, eight hundred seventeen thousand, four hundred.