138742632537152000
138,742,632,537,152,000 is an even composite number composed of six prime numbers multiplied together.
138742632537152000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138742632537152000:
29 × 53 × 7 × 672 × 191 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 67 × 67 × 191 × 601 × 601)See below for interesting mathematical facts about the number 138742632537152000 from the Numbermatics database.
Names of 138742632537152000
- Cardinal: 138742632537152000 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, six hundred thirty-two billion, five hundred thirty-seven million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38742632537152 × 1017
Factors of 138742632537152000
Divisors of 138742632537152000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 67 70 80 100 112 125 128 134 140 160 175 191 200 224 250 256 268 280 320 335 350 382 400 448 469 500 512 536 560 601 640 670 700 764 800 875 896 938 955 1000 1072 1120 1202 1280 1337 1340 1400 1528 1600 1675 1750 1792 1876 1910 2000 2144 2240 2345 2404 2560 2674 2680 2800 3005 3056 3200 3350 3500 3584 3752 3820 4000 4207 4288 4480 4489 4690 4775 4808 5348 5360 5600 6010 6112 6400 6685 6700 7000 7504 7640 8000 8375 8414 8576 8960 8978 9380 9550 9616 10696 10720 11200 11725 12020 12224 12797 12800 13370 13400 14000 15008 15025 15280 16000 16750 16828 17152 17920 17956 18760 19100 19232 21035 21392 21440 22400 22445 23450 23875 24040 24448 25594 26740 26800 28000 30016 30050 30560 31423 32000 33425 33500 33656 34304 35912 37520 38200 38464 40267 42070 42784 42880 44800 44890 46900 47750 48080 48896 51188 53480 53600 56000 58625 60032 60100 61120 62846 63985 64000 66850 67000 67312 71824 75040 75125 76400 76928 80534 84140 85568 85760 89579 89600 89780 93800 95500 96160 97792 102376 105175 106960 107200 112000 112225 114791 117250 120064 120200 122240 125692 127970 133700 134000 134624 143648 150080 150250 152800 153856 157115 161068 167125 168280 171136 171520 179158 179560 187600 191000 192320 201335 204752 210350 213920 214400 224000 224450 229582 234500 240128 240400 244480 251384 255940 267400 268000 269248 281869 287296 300160 300500 305600 307712 314230 319925 322136 334250 336560 342272 358316 359120 361201 375200 382000 384640 402670 409504 420700 427840 428800 447895 448000 448900 459164 469000 480800 488960 502768 511880 525875 534800 536000 538496 561125 563738 573955 574592 600320 601000 611200 628460 639850 644272 668500 673120 684544 716632 718240 722402 750400 764000 769280 785575 803537 805340 819008 841400 855680 857399 857600 895790 897800 918328 938000 961600 1005536 1006675 1023760 1051750 1069600 1072000 1076992 1122250 1127476 1147910 1149184 1200640 1202000 1222400 1256920 1279700 1288544 1337000 1346240 1409345 1433264 1436480 1444804 1500800 1528000 1538560 1571150 1599625 1607074 1610680 1638016 1682800 1711360 1714798 1791580 1795600 1806005 1836656 1876000 1923200 2011072 2013350 2047520 2103500 2139200 2144000 2153984 2239475 2244500 2254952 2295820 2298368 2404000 2444800 2513840 2528407 2559400 2577088 2674000 2692480 2697889 2818690 2866528 2869775 2872960 2889608 3001600 3056000 3142300 3199250 3214148 3221360 3276032 3365600 3422720 3429596 3583160 3591200 3612010 3673312 3752000 3846400 3927875 4017685 4022144 4026700 4095040 4207000 4278400 4286995 4288000 4478950 4489000 4509904 4591640 4808000 5027680 5033375 5056814 5118800 5154176 5348000 5384960 5395778 5637380 5733056 5739550 5745920 5779216 6001793 6003200 6112000 6284600 6398500 6428296 6442720 6552064 6731200 6859192 7046725 7166320 7182400 7224020 7346624 7504000 7690997 7692800 7855750 8035370 8044288 8053400 8190080 8414000 8556800 8573990 8957900 8978000 9019808 9030025 9183280 9616000 10055360 10066750 10113628 10237600 10308352 10696000 10769920 10791556 11197375 11274760 11466112 11479100 11491840 11558432 12003586 12224000 12569200 12642035 12797000 12856592 12885440 13462400 13489445 13718384 14093450 14332640 14348875 14364800 14448040 14693248 15008000 15381994 15711500 16070740 16088576 16106800 16380160 16828000 17113600 17147980 17915800 17956000 18039616 18060050 18366560 18885223 19232000 20088425 20110720 20133500 20227256 20475200 20616704 21392000 21434975 21583112 22394750 22549520 22932224 22958200 23116864 24007172 24200467 25138400 25284070 25594000 25713184 25770880 26924800 26978890 27436768 28186900 28665280 28697750 28729600 28896080 29386496 30008965 30016000 30763988 31423000 32141480 32213600 32760320 33656000 34295960 35233625 35831600 35912000 36079232 36120100 36733120 37770446 38454985 38464000 40176850 40221440 40267000 40454512 40950400 42784000 42869950 43166224 44789500 45099040 45150125 45864448 45916400 46233728 48014344 48400934 50276800 50568140 51188000 51426368 51541760 53836979 53849600 53957780 54873536 56373800 57330560 57395500 57459200 57792160 58772992 60017930 61527976 62846000 63210175 64282960 64427200 67312000 67447225 68591920 68989391 70467250 71663200 71824000 72158464 72240200 73466240 75540892 76909970 80353700 80442880 80534000 80909024 81900800 85568000 85739900 86332448 89579000 90198080 90300250 91832800 92467456 94426115 96028688 96801868 100442125 100553600 101136280 102376000 102852736 103083520 107174875 107673958 107915560 109747072 112747600 114661120 114791000 115584320 120035860 121002335 123055952 125692000 126420350 128565920 128854400 134624000 134894450 137183840 137978782 140934500 143326400 143648000 144316928 144480400 146932480 150044825 151081784 153819940 160707400 161068000 161818048 163801600 169403269 171479800 172664896 179158000 180396160 180600500 183665600 184934912 188852230 192057376 192274925 193603736 200884250 201107200 202272560 204752000 205705472 214349750 215347916 215831120 219494144 225495200 229322240 229582000 231168640 240071720 242004670 246111904 251384000 252840700 257131840 257708800 269184895 269248000 269788900 274367680 275957564 281869000 286652800 287296000 288960800 293864960 300089650 302163568 307639880 316050875 321414800 322136000 323636096 337236125 338806538 342959600 344946955 345329792 358316000 360792320 361201000 367331200 377704460 384114752 384549850 387207472 401768500 402214400 404545120 409504000 411410944 428699500 430695832 431662240 438988288 450990400 459164000 462337280 472130575 480143440 482925737 484009340 492223808 502768000 505681400 514263680 515296799 515417600 538369790 539577800 548735360 551915128 563738000 573305600 577921600 600179300 604327136 605011675 615279760 632101750 642829600 644272000 647272192 674472250 677613076 685919200 689893910 690659584 716632000 721584640 722402000 734662400 750224125 755408920 768229504 769099700 774414944 803537000 809090240 819008000 847016345 857399000 861391664 863324480 901980800 918328000 924674560 944261150 960286880 961374625 965851474 968018680 984447616 1005536000 1011362800 1028527360 1030593598 1076739580 1079155600 1097470720 1103830256 1127476000 1146611200 1155843200 1200358600 1208654272 1210023350 1230559520 1264203500 1285659200 1288544000 1294544384 1345924475 1348944500 1355226152 1371838400 1379787820 1381319168 1433264000 1444804000 1469324800 1500448250 1510817840 1536459008 1538199400 1548829888 1607074000 1618180480 1621431289 1694032690 1714798000 1722783328 1724734775 1726648960 1803961600 1836656000 1888522300 1920573760 1922749250 1931702948 1936037360 1968895232 2011072000 2022725600 2057054720 2061187196 2153479160 2158311200 2194941440 2207660512 2254952000 2311686400 2360652875 2400717200 2414628685 2417308544 2420046700 2461119040 2528407000 2571318400 2576483995 2577088000 2691848950 2697889000 2710452304 2743676800 2759575640 2866528000 2889608000 3000896500 3021635680 3025058375 3072918016 3076398800 3097659776 3214148000 3236360960 3242862578 3388065380 3429596000 3445566656 3449469550 3453297920 3607077593 3607923200 3673312000 3777044600 3841147520 3845498500 3863405896 3872074720 3937790464 4045451200 4122374392 4235081725 4306958320 4316622400 4415321024 4509904000 4622289197 4623372800 4721305750 4801434400 4829257370 4834617088 4840093400 4922238080 5056814000 5142636800 5152967990 5383697900 5395778000 5420904608 5487353600 5519151280 5733056000 5779216000 6001793000 6043271360 6050116750 6152797600 6195319552 6428296000 6472721920 6485725156 6729622375 6776130760 6859192000 6891133312 6898939100 6906595840 7214155186 7346624000 7554089200 7682295040 7690997000 7726811792 7744149440 8090902400 8107156445 8244748784 8470163450 8613916640 8623673875 8633244800 8830642048 9019808000 9244578394 9442611500 9602868800 9658514740 9669234176 9680186800 9844476160 10113628000 10285273600 10305935980 10767395800 10791556000 10841809216 10974707200 11038302560 11350019023 11558432000 12003586000 12073143425 12086542720 12100233500 12305595200 12390639104 12856592000 12882419975 12971450312 13459244750 13552261520 13718384000 13782266624 13797878200 14428310372 15108178400 15364590080 15381994000 15453623584 15488298880 16181804800 16214312890 16489497568 16940326900 17227833280 17247347750 17266489600 17661284096 18035387965 18039616000 18489156788 18885223000 19205737600 19317029480 19360373600 19688952320 20227256000 20611871960 21175408625 21534791600 21583112000 21683618432 22076605120 22700038046 23111445985 23116864000 24007172000 24146286850 24173085440 24200467000 24611190400 25713184000 25764839950 25942900624 26918489500 27104523040 27436768000 27564533248 27595756400 28856620744 30216356800 30763988000 30907247168 30976597760 32356024379 32363609600 32428625780 32978995136 33880653800 34455666560 34494695500 34532979200 35322568192 36070775930 36978313576 37770446000 38411475200 38634058960 38720747200 40454512000 40535782225 41223743920 42350817250 43069583200 43166224000 43367236864 44153210240 45400076092 46222891970 48014344000 48292573700 48346170880 48400934000 49222380800 51426368000 51529679900 51885801248 53836979000 54209046080 54873536000 55191512800 56750095115 57713241488 60365717125 60432713600 61527976000 61814494336 61953195520 64412099875 64712048758 64857251560 65957990272 67761307600 68911333120 68989391000 72141551860 73956627152 75540892000 76822950400 77268117920 77441494400 80909024000 81071564450 82447487840 84701634500 86139166400 86332448000 86734473728 88306420480 90176939825 90800152184 92445783940 96028688000 96585147400 96801868000 98444761600 103059359800 103771602496 107673958000 108418092160 110383025600 113500190230 115426482976 115557229925 120731434250 120865427200 123055952000 123628988672 128824199750 129424097516 129714503120 131915980544 135522615200 137822666240 137978782000 144283103720 147913254304 151081784000 154536235840 154882988800 161780121895 161818048000 162143128900 164894975680 169403269000 172278332800 172664896000 176612840960 180353879650 181600304368 184891567880 192057376000 193170294800 193603736000 202678911125 206118719600 207543204992 215347916000 216836184320 220766051200 227000380460 230852965952 231114459850 241462868500 241730854400 246111904000 247257977344 257648399500 258848195032 259429006240 263831961088 271045230400 275957564000 283750475575 288566207440 295826508608 302163568000 309072471680 309693376199 309765977600 323560243790 324286257800 329789951360 338806538000 344556665600 360707759300 363200608736 369783135760 384114752000 386340589600 387207472000 405357822250 412237439200 415086409984 430695832000 433672368640 441532102400 450884699125 454000760920 461705931904 462228919700 482925737000 492223808000 515296799000 517696390064 518858012480 542090460800 551915128000 567500951150 577132414880 577786149625 591653017216 604327136000 618144943360 619386752398 647120487580 648572515600 659579902720 677613076000 689113331200 721415518600 726401217472 739566271520 772681179200 774414944000 808900609475 810715644500 824474878400 830172819968 861391664000 883064204800 901769398250 908001521840 923411863808 924457839400 965851474000 1030593598000 1035392780128 1037716024960 1084180921600 1103830256000 1135001902300 1154264829760 1155572299250 1183306034432 1208654272000 1236289886720 1238773504796 1294240975160 1297145031200 1319159805440 1355226152000 1418752377875 1442831037200 1452802434944 1479132543040 1545362358400 1548466880995 1548829888000 1617801218950 1621431289000 1648949756800 1722783328000 1803538796500 1816003043680 1846823727616 1848915678800 1931702948000 2061187196000 2070785560256 2075432049920 2167853633393 2168361843200 2207660512000 2270003804600 2308529659520 2311144598500 2366612068864 2477547009592 2588481950320 2594290062400 2710452304000 2837504755750 2885662074400 2905604869888 2958265086080 3090724716800 3096933761990 3235602437900 3242862578000 3297899513600 3445566656000 3607077593000 3632006087360 3697831357600 3863405896000 4044503047375 4122374392000 4141571120512 4150864099840 4335707266786 4415321024000 4540007609200 4617059319040 4622289197000 4955094019184 5176963900640 5188580124800 5420904608000 5675009511500 5771324148800 5811209739776 5916530172160 6181449433600 6193867523980 6471204875800 6485725156000 6595799027200 7214155186000 7264012174720 7395662715200 7726811792000 7742334404975 8089006094750 8244748784000 8283142241024 8671414533572 9080015218400 9234118638080 9244578394000 9910188038368 10353927801280 10377160249600 10839268166965 10841809216000 11350019023000 11542648297600 11833060344320 12387735047960 12942409751600 12971450312000 14428310372000 14528024349440 14791325430400 15453623584000 15484668809950 16178012189500 16489497568000 16566284482048 17342829067144 18160030436800 18489156788000 19820376076736 20707855602560 20754320499200 21678536333930 22700038046000 23085296595200 24775470095920 25884819503200 25942900624000 28856620744000 29056048698880 29582650860800 30907247168000 30969337619900 32356024379000 32978995136000 34685658134288 36320060873600 36978313576000 38711672024875 39640752153472 41415711205120 43357072667860 45400076092000 46170593190400 49550940191840 51769639006400 51885801248000 54196340834825 57713241488000 59165301721600 61938675239800 64712048758000 69371316268576 72640121747200 73956627152000 77423344049750 79281504306944 82831422410240 86714145335720 90800152184000 99101880383680 103539278012800 103771602496000 108392681669650 115426482976000 123877350479600 129424097516000 138742632537152 145280243494400 147913254304000 154846688099500 158563008613888 173428290671440 181600304368000 198203760767360 207078556025600 216785363339300 230852965952000 247754700959200 258848195032000 270981704174125 277485265074304 295826508608000 309693376199000 346856581342880 363200608736000 396407521534720 414157112051200 433570726678600 495509401918400 517696390064000 541963408348250 554970530148608 619386752398000 693713162685760 726401217472000 792815043069440 867141453357200 991018803836800 1035392780128000 1083926816696500 1109941060297216 1238773504796000 1387426325371520 1734282906714400 1982037607673600 2070785560256000 2167853633393000 2477547009592000 2774852650743040 3468565813428800 3964075215347200 4335707266786000 4955094019184000 5549705301486080 6937131626857600 8671414533572000 9910188038368000 13874263253715200 17342829067144000 19820376076736000 27748526507430400 34685658134288000 69371316268576000 138742632537152000
- Sum of all divisors σ(n): 404150052889110528
- Sum of proper divisors (its aliquot sum) s(n): 265407420351958528
- 138742632537152000 is an abundant number, because the sum of its proper divisors (265407420351958528) is greater than itself. Its abundance is 126664787814806528
Bases of 138742632537152000
- Binary: 1111011001110100110110000011011111001010001011010000000002
- Hexadecimal: 0x1ECE9B06F945A00
- Base-36: 11Y45PHC054W
Squares and roots of 138742632537152000
- 138742632537152000 squared (1387426325371520002) is 19249518083339188816660271104000000
- 138742632537152000 cubed (1387426325371520003) is 2670728813953991542670223414049203672055808000000000
-
The
square root of 138742632537152000 is 372481721.0778966533 -
The
cube root of 138742632537152000 is 517690.2394842593
Scales and comparisons
How big is 138742632537152000?- 138,742,632,537,152,000 seconds is equal to 4,411,586,555 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,742,632,537,152,000 would take you about thirteen billion, two hundred thirty-four million, seven hundred fifty-nine thousand, six hundred sixty-six 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 138742632537152000 cubic inches would be around 43140.9 feet tall.
Recreational maths with 138742632537152000
- 138742632537152000 backwards is 000251735236247831
- The number of decimal digits it has is: 18
- The sum of 138742632537152000's digits is 59
- More coming soon!
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The information we have on file for 138742632537152000 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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