138342409734375
138,342,409,734,375 is an odd composite number composed of six prime numbers multiplied together.
138342409734375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138342409734375:
37 × 56 × 73 × 11 × 29 × 37
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 29 × 37)See below for interesting mathematical facts about the number 138342409734375 from the Numbermatics database.
Names of 138342409734375
- Cardinal: 138342409734375 can be written as One hundred thirty-eight trillion, three hundred forty-two billion, four hundred nine million, seven hundred thirty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38342409734375 × 1014
Factors of 138342409734375
Divisors of 138342409734375
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 29 33 35 37 45 49 55 63 75 77 81 87 99 105 111 125 135 145 147 165 175 185 189 203 225 231 243 245 259 261 275 297 315 319 333 343 375 385 405 407 435 441 495 525 539 555 567 609 625 675 693 725 729 735 777 783 825 875 891 925 945 957 999 1015 1029 1073 1125 1155 1215 1221 1225 1295 1305 1323 1375 1421 1485 1575 1595 1617 1665 1701 1715 1813 1827 1875 1925 2025 2035 2079 2175 2187 2205 2233 2331 2349 2475 2625 2673 2695 2775 2835 2849 2871 2997 3045 3087 3125 3219 3375 3465 3625 3645 3663 3675 3773 3885 3915 3969 4125 4263 4375 4455 4625 4725 4785 4851 4995 5075 5103 5145 5365 5439 5481 5625 5775 6075 6105 6125 6237 6475 6525 6615 6699 6875 6993 7047 7105 7425 7511 7875 7975 8019 8085 8325 8505 8547 8575 8613 8991 9065 9135 9261 9375 9625 9657 9947 10125 10175 10395 10875 10935 10989 11025 11165 11319 11655 11745 11803 11907 12375 12691 12789 13125 13365 13475 13875 14175 14245 14355 14553 14985 15225 15309 15435 15625 15631 16095 16317 16443 16875 17325 18125 18225 18315 18375 18711 18865 19425 19575 19845 19943 20097 20625 20979 21141 21315 21875 22275 22533 23125 23625 23925 24057 24255 24975 25375 25515 25641 25725 25839 26825 26973 27195 27405 27783 28125 28875 28971 29841 30375 30525 30625 31185 32375 32625 32967 33075 33495 33957 34375 34965 35235 35409 35525 35721 37125 37555 38073 38367 39375 39875 40095 40425 41625 42525 42735 42875 43065 43659 44955 45325 45675 46305 46875 46893 48125 48285 48951 49329 49735 50625 50875 51975 52577 54375 54675 54945 55125 55825 56133 56595 58275 58725 59015 59535 59829 60291 61875 62937 63423 63455 63945 65625 66825 67375 67599 69375 70875 71225 71775 72765 74925 76125 76545 76923 77175 77517 78155 80475 80919 81585 82215 82621 83349 84375 86625 86913 89523 90625 91125 91575 91875 93555 94325 97125 97875 98901 99225 99715 100485 101871 103125 104895 105705 106227 106575 107163 109375 109417 111375 112665 114219 115101 115625 118125 119625 120285 121275 124875 126875 127575 128205 128625 129195 130977 134125 134865 135975 137025 138915 139601 140625 140679 144375 144855 146853 147987 149205 151875 152625 153125 155925 157731 161875 163125 164835 165375 167475 168399 169785 171875 174825 176175 177045 177625 178605 179487 180873 185625 187775 188811 190365 191835 196875 199375 200475 202125 202797 208125 212625 213675 214375 215325 218295 224775 226625 228375 230769 231525 232551 234465 240625 241425 244755 246645 247863 248675 250047 253125 254375 259875 260739 262885 268569 271875 273375 274725 275625 279125 280665 282975 291375 293625 295075 296703 297675 299145 301455 305613 309375 314685 317115 317275 318681 319725 328125 328251 334125 336875 337995 342657 345303 346875 354375 356125 358875 363825 368039 374625 380625 382725 384615 385875 387585 390775 392931 402375 404595 407925 411075 413105 416745 418803 421875 422037 433125 434565 440559 443961 447615 453125 455625 457875 459375 467775 471625 473193 485625 489375 494505 496125 498575 502425 509355 515625 524475 528525 531135 532875 535815 538461 542619 547085 556875 563325 566433 571095 575505 578125 578347 590625 598125 601425 606375 608391 624375 634375 637875 641025 643125 645975 654885 670625 674325 679875 685125 692307 694575 697653 698005 703395 721875 724275 734265 739935 743589 746025 750141 759375 763125 765625 779625 782217 788655 805707 809375 815625 824175 826875 837375 841995 848925 874125 880875 885225 888125 890109 893025 897435 904365 916839 928125 938875 944055 951825 956043 959175 984375 984753 996875 1002375 1010625 1013985 1027971 1035909 1040625 1063125 1068375 1071875 1076625 1091475 1104117 1123875 1133125 1141875 1153845 1157625 1162755 1172325 1178793 1203125 1207125 1223775 1233225 1239315 1243375 1250235 1256409 1265625 1266111 1271875 1299375 1303695 1314425 1321677 1342845 1359375 1366875 1373625 1378125 1395625 1403325 1414875 1419579 1456875 1468125 1475375 1483515 1488375 1495725 1507275 1528065 1546875 1573425 1585575 1586375 1593405 1598625 1615383 1627857 1641255 1670625 1684375 1689975 1713285 1726515 1734375 1735041 1771875 1780625 1794375 1819125 1825173 1840195 1873125 1903125 1913625 1923075 1929375 1937925 1953875 1964655 2011875 2022975 2039625 2055375 2065525 2076921 2083725 2094015 2110185 2165625 2172825 2202795 2219805 2230767 2238075 2278125 2289375 2296875 2338875 2346651 2358125 2365965 2417121 2428125 2446875 2472525 2480625 2492875 2512125 2546775 2622375 2642625 2655675 2664375 2679075 2692305 2713095 2735425 2750517 2784375 2816625 2832165 2855475 2868129 2877525 2891735 2953125 2954259 2990625 3007125 3031875 3041955 3083913 3107727 3121875 3171875 3189375 3205125 3215625 3229875 3274425 3312351 3353125 3371625 3399375 3425625 3461535 3472875 3488265 3490025 3516975 3609375 3621375 3671325 3699675 3717945 3730125 3750705 3769227 3796875 3798333 3815625 3898125 3911085 3943275 3965031 4028535 4046875 4048429 4078125 4120875 4134375 4186875 4209975 4244625 4258737 4370625 4404375 4426125 4440625 4450545 4465125 4487175 4521825 4584195 4640625 4694375 4720275 4759125 4780215 4795875 4846149 4883571 4923765 4984375 5011875 5053125 5069925 5139855 5179545 5203125 5205123 5315625 5341875 5359375 5383125 5457375 5475519 5520585 5619375 5665625 5709375 5769225 5788125 5813775 5861625 5893965 6035625 6118875 6166125 6196575 6216875 6230763 6251175 6282045 6330555 6359375 6496875 6518475 6572125 6608385 6692301 6714225 6834375 6868125 6890625 6978125 7016625 7074375 7097895 7251363 7284375 7340625 7376875 7417575 7441875 7478625 7536375 7640325 7867125 7927875 7931875 7967025 7993125 8076915 8139285 8206275 8251551 8353125 8421875 8449875 8566425 8604387 8632575 8675205 8859375 8862777 8903125 8971875 9095625 9125865 9200975 9251739 9365625 9515625 9568125 9615375 9646875 9689625 9769375 9823275 9937053 10059375 10114875 10198125 10276875 10327625 10384605 10418625 10470075 10550925 10828125 10864125 11013975 11099025 11153835 11190375 11307681 11390625 11394999 11446875 11694375 11733255 11790625 11829825 12085605 12140625 12145287 12234375 12362625 12403125 12464375 12560625 12733875 12776211 13111875 13213125 13278375 13321875 13395375 13461525 13565475 13677125 13752585 13921875 14083125 14160825 14277375 14340645 14387625 14458675 14538447 14771295 14953125 15035625 15159375 15209775 15419565 15538635 15609375 15615369 15946875 16025625 16078125 16149375 16372125 16426557 16561755 16765625 16858125 16996875 17128125 17307675 17364375 17441325 17450125 17584875 18106875 18356625 18498375 18589725 18650625 18753525 18846135 18991665 19078125 19490625 19555425 19716375 19825155 20076903 20142675 20242145 20604375 20671875 20934375 21049875 21223125 21293685 21754089 21853125 22021875 22130625 22203125 22252725 22325625 22435875 22609125 22920975 23471875 23601375 23795625 23901075 23979375 24230745 24417855 24618825 25059375 25265625 25349625 25699275 25813161 25897725 26025615 26578125 26588331 26709375 26915625 27286875 27377595 27602925 27755217 28096875 28328125 28546875 28846125 28940625 29068875 29308125 29469825 29811159 30178125 30594375 30830625 30982875 31084375 31153815 31255875 31410225 31652775 32484375 32592375 32860625 33041925 33461505 33571125 33923043 34171875 34184997 34340625 34890625 35083125 35371875 35489475 36256815 36421875 36435861 36703125 36884375 37087875 37209375 37393125 37681875 38201625 38328633 39335625 39639375 39659375 39835125 39965625 40384575 40696425 41031375 41257755 41765625 42249375 42832125 43021935 43162875 43376025 43615341 44313885 44515625 44859375 45478125 45629325 46004875 46258695 46828125 46846107 47840625 48076875 48234375 48448125 48846875 49116375 49685265 50296875 50574375 50990625 51384375 51638125 51923025 52093125 52350375 52754625 54320625 55069875 55495125 55769175 55951875 56538405 56974995 57234375 58471875 58666275 58953125 59149125 60230709 60428025 60726435 61813125 62015625 62321875 62803125 63669375 63881055 65559375 66065625 66391875 66609375 66976875 67307625 67827375 68385625 68762925 70415625 70804125 71386875 71703225 71938125 72293375 72692235 73856475 75178125 75796875 76048875 77097825 77693175 78076845 79734375 79764993 80128125 80746875 81860625 82132785 82808775 84290625 84984375 85640625 86538375 86821875 87206625 87250625 87924375 89433477 90534375 91783125 92491875 92948625 93253125 93767625 94230675 94958325 97453125 97777125 98581875 99125775 100384515 100713375 101210725 101769129 103021875 104671875 105249375 106115625 106468425 108770445 109265625 109307583 110109375 110653125 111263625 111628125 112179375 113045625 114604875 114985899 117359375 118006875 118978125 119505375 119896875 121153725 122089275 123094125 125296875 126748125 128496375 129065805 129488625 130128075 132941655 133546875 134578125 136434375 136887975 138014625 138776085 140484375 140538321 144230625 144703125 145344375 146540625 147349125 149055795 150890625 152971875 154153125 154914375 155421875 155769075 156279375 157051125 158263875 162961875 164303125 165209625 167307525 167855625 169615215 170924985 171703125 175415625 176859375 177447375 180692127 181284075 182179305 184421875 185439375 186046875 186965625 188409375 191008125 191643165 196678125 198196875 198296875 199175625 199828125 201922875 203482125 205156875 206288775 211246875 214160625 215109675 215814375 216880125 218076705 221569425 227390625 228146625 230024375 231293475 234230535 239203125 239294979 240384375 242240625 244234375 245581875 248426325 252871875 254953125 256921875 258190625 259615125 260465625 261751875 263773125 268300431 271603125 275349375 277475625 278845875 279759375 282692025 284874975 292359375 293331375 295745625 301153545 302140125 303632175 305307387 309065625 311609375 314015625 318346875 319405275 327796875 327922749 330328125 331959375 334884375 336538125 339136875 341928125 343814625 352078125 354020625 356934375 358516125 359690625 361466875 363461175 369282375 375890625 380244375 385489125 388465875 390384225 398824965 400640625 403734375 409303125 410663925 414043875 421453125 421614963 432691875 434109375 436033125 436253125 439621875 447167385 452671875 458915625 462459375 464743125 466265625 468838125 471153375 474791625 488885625 492909375 495628875 501922575 503566875 506053625 508845645 515109375 526246875 530578125 532342125 543852225 546537915 553265625 556318125 558140625 560896875 565228125 573024375 574929495 590034375 594890625 597526875 599484375 605768625 610446375 615470625 633740625 642481875 645329025 647443125 650640375 664708275 682171875 684439875 690073125 693880425 702691605 721153125 726721875 732703125 736745625 745278975 764859375 770765625 774571875 778845375 781396875 785255625 791319375 804901293 814809375 821515625 826048125 836537625 839278125 848076075 854624925 877078125 887236875 903460635 906420375 910896525 927196875 934828125 942046875 955040625 958215825 983390625 983768247 990984375 995878125 1009614375 1017410625 1025784375 1031443875 1056234375 1070803125 1075548375 1079071875 1084400625 1090383525 1107847125 1140733125 1150121875 1156467375 1171152675 1196474895 1201921875 1211203125 1227909375 1242131625 1264359375 1264844889 1290953125 1298075625 1302328125 1308759375 1318865625 1341502155 1358015625 1376746875 1387378125 1394229375 1398796875 1413460125 1424374875 1466656875 1478728125 1505767725 1510700625 1518160875 1526536935 1545328125 1591734375 1597026375 1639613745 1659796875 1674421875 1682690625 1695684375 1709640625 1719073125 1770103125 1784671875 1792580625 1798453125 1807334375 1817305875 1846411875 1901221875 1927445625 1942329375 1951921125 1994124825 2046515625 2053319625 2070219375 2108074815 2163459375 2180165625 2181265625 2198109375 2235836925 2294578125 2312296875 2323715625 2344190625 2355766875 2373958125 2444428125 2464546875 2478144375 2509612875 2517834375 2530268125 2544228225 2631234375 2661710625 2719261125 2732689575 2781590625 2804484375 2826140625 2865121875 2874647475 2950171875 2951304741 2987634375 3028843125 3052231875 3077353125 3168703125 3212409375 3226645125 3237215625 3253201875 3323541375 3422199375 3450365625 3469402125 3513458025 3605765625 3633609375 3683728125 3726394875 3872859375 3894226875 3906984375 3926278125 3956596875 4024506465 4074046875 4130240625 4182688125 4196390625 4240380375 4273124625 4436184375 4517303175 4532101875 4554482625 4635984375 4775203125 4791079125 4918841235 4979390625 5048071875 5087053125 5128921875 5157219375 5354015625 5377741875 5395359375 5422003125 5451917625 5539235625 5703665625 5750609375 5782336875 5855763375 5982374475 6139546875 6210658125 6324224445 6490378125 6543796875 6594328125 6707510775 6883734375 6936890625 6971146875 7067300625 7121874375 7333284375 7393640625 7528838625 7553503125 7590804375 7632684675 7985131875 8198068725 8413453125 8478421875 8595365625 8850515625 8853914223 8962903125 9036671875 9086529375 9232059375 9506109375 9637228125 9711646875 9759605625 9970624125 10266598125 10351096875 10540374075 10817296875 10900828125 11179184625 11618578125 11720953125 11778834375 11869790625 12222140625 12390721875 12548064375 12589171875 12651340625 12721141125 13308553125 13596305625 13663447875 13907953125 14325609375 14373237375 14756523705 14938171875 15144215625 15261159375 15386765625 16062046875 16133225625 16186078125 16266009375 16617706875 17110996875 17251828125 17347010625 17567290125 18418640625 18631974375 19471134375 19631390625 19782984375 20122532325 20651203125 20913440625 21201901875 21365623125 22180921875 22586515875 22660509375 22772413125 23955395625 24594206175 25240359375 25435265625 25786096875 26888709375 27110015625 27259588125 27696178125 28518328125 28911684375 29278816875 29911872375 31053290625 31621122225 32451890625 33537553875 34855734375 35336503125 35609371875 36666421875 37644193125 37767515625 37954021875 38163423375 39925659375 40990343625 42976828125 44269571115 44814515625 45432646875 46160296875 48186140625 48558234375 48798028125 49853120625 51332990625 51755484375 52701870375 55895923125 58894171875 59348953125 61953609375 62740321875 63256703125 63605705625 66542765625 67981528125 68317239375 71866186875 73782618525 75721078125 76305796875 80666128125 81330046875 83088534375 85554984375 86735053125 87836450625 93159871875 97355671875 100612661625 104567203125 106009509375 106828115625 112932579375 113302546875 113862065625 119776978125 122971030875 128930484375 134443546875 136297940625 138480890625 144558421875 146394084375 149559361875 155266453125 158105611125 167687769375 176682515625 178046859375 188220965625 189770109375 190817116875 199628296875 204951718125 221347855575 227163234375 243990140625 249265603125 256664953125 263509351875 279479615625 313701609375 318028528125 339907640625 341586196875 359330934375 368913092625 403330640625 415442671875 433675265625 439182253125 465799359375 503063308125 530047546875 534140578125 564662896875 569310328125 598884890625 614855154375 681489703125 731970421875 747796809375 790528055625 838438846875 941104828125 954085584375 1024758590625 1106739277875 1246328015625 1317546759375 1397398078125 1590142640625 1707930984375 1796654671875 1844565463125 2195911265625 2515316540625 2823314484375 3074275771875 3738984046875 3952640278125 4192194234375 4770427921875 5123792953125 5533696389375 6587733796875 9222827315625 12576582703125 15371378859375 19763201390625 27668481946875 46114136578125 138342409734375
- Sum of all divisors σ(n): 350545512960000
- Sum of proper divisors (its aliquot sum) s(n): 212203103225625
- 138342409734375 is an abundant number, because the sum of its proper divisors (212203103225625) is greater than itself. Its abundance is 73860693491250
Bases of 138342409734375
- Binary: 111110111010010010110100011000010001000111001112
- Hexadecimal: 0x7DD25A3088E7
- Base-36: 1D1DMIUZFR
Squares and roots of 138342409734375
- 138342409734375 squared (1383424097343752) is 19138622331113694758056640625
- 138342409734375 cubed (1383424097343753) is 2647683132282389960131847410457611083984375
-
The
square root of 138342409734375 is 11761905.0214824897 -
The
cube root of 138342409734375 is 51719.1976431593
Scales and comparisons
How big is 138342409734375?- 138,342,409,734,375 seconds is equal to 4,398,860 years, 36 weeks, 5 days, 20 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,342,409,734,375 would take you about ten million, nine hundred ninety-seven thousand, one hundred fifty-one 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 138342409734375 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138342409734375
- 138342409734375 backwards is 573437904243831
- 138342409734375 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138342409734375's digits is 63
- More coming soon!
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"Number 138342409734375 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138342409734375 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138342409734375/
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The information we have on file for 138342409734375 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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