138900329519328
138,900,329,519,328 is an even composite number composed of eight prime numbers multiplied together.
138900329519328 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138900329519328:
25 × 33 × 13 × 17 × 19 × 79 × 83 × 5839
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 19 × 79 × 83 × 5839)See below for interesting mathematical facts about the number 138900329519328 from the Numbermatics database.
Names of 138900329519328
- Cardinal: 138900329519328 can be written as One hundred thirty-eight trillion, nine hundred billion, three hundred twenty-nine million, five hundred nineteen thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38900329519328 × 1014
Factors of 138900329519328
Divisors of 138900329519328
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 38 39 48 51 52 54 57 68 72 76 78 79 83 96 102 104 108 114 117 136 144 152 153 156 158 166 171 204 208 216 221 228 234 237 247 249 272 288 304 306 312 316 323 332 342 351 408 416 432 442 456 459 468 474 494 498 513 544 608 612 624 632 646 663 664 684 702 711 741 747 816 864 884 912 918 936 948 969 988 996 1026 1027 1079 1224 1248 1264 1292 1326 1328 1343 1368 1404 1411 1422 1482 1494 1501 1577 1632 1768 1824 1836 1872 1896 1938 1976 1989 1992 2052 2054 2133 2158 2223 2241 2448 2528 2584 2652 2656 2686 2736 2808 2822 2844 2907 2964 2988 3002 3081 3154 3237 3536 3672 3744 3792 3876 3952 3978 3984 4029 4104 4108 4199 4233 4266 4316 4446 4482 4503 4731 4896 5168 5304 5372 5472 5616 5644 5688 5814 5839 5928 5967 5976 6004 6162 6308 6474 6557 6669 7072 7344 7584 7752 7904 7956 7968 8058 8208 8216 8398 8466 8532 8632 8721 8892 8964 9006 9243 9462 9711 10336 10608 10744 11232 11288 11376 11628 11678 11856 11934 11952 12008 12087 12324 12597 12616 12699 12948 13114 13338 13509 14193 14688 15504 15912 16116 16416 16432 16796 16932 17064 17264 17442 17459 17517 17784 17928 18012 18343 18486 18924 19422 19513 19671 20501 21216 21488 22576 22752 23256 23356 23712 23868 23904 24016 24174 24648 25194 25232 25398 25517 25896 26228 26676 26809 27018 27729 28386 29133 31008 31824 32232 32864 33592 33864 34128 34528 34884 34918 35034 35568 35856 36024 36261 36686 36972 37791 37848 38097 38844 39026 39342 40527 41002 42579 42976 45152 46512 46712 47736 48032 48348 49296 50388 50464 50796 51034 51792 52377 52456 52551 53352 53618 54036 55029 55458 56772 58266 58539 59013 61503 63648 64464 67184 67728 68256 69768 69836 70068 71136 71712 72048 72522 73372 73944 75582 75696 75907 76194 76551 77688 78052 78684 80427 81054 82004 85158 85241 93024 93424 95472 96696 98592 99263 100776 101592 102068 103584 104754 104912 105102 106704 107236 108072 110058 110916 110941 111469 113373 113544 116532 117078 118026 123006 124583 128928 134368 135456 139536 139672 140136 144096 145044 146744 147888 151164 151392 151814 152388 153102 155376 156104 157131 157368 157653 160854 162108 164008 165087 170316 170482 175617 177039 184509 186848 190944 193392 198526 201552 203184 204136 209508 209824 210204 213408 214472 216144 220116 221832 221882 222938 226746 227088 227721 229653 233064 234156 236052 241281 246012 249166 255723 279072 279344 280272 290088 293488 295776 297789 302328 303628 304776 306204 310752 312208 314262 314736 315306 321708 324216 328016 330174 331721 332823 334407 340632 340964 348517 351234 354078 369018 373749 386784 397052 403104 406368 408272 419016 420408 428944 432288 440232 443664 443764 445876 453492 454176 455442 459306 461281 466128 468312 471393 472104 482562 484637 492024 495261 498332 511446 526851 553527 558688 560544 580176 586976 595578 604656 607256 609552 612408 624416 628524 629472 630612 643416 648432 656032 660348 663442 665646 668814 681264 681928 683163 688959 697034 702468 708156 723843 738036 747498 767169 794104 816544 838032 840816 857888 880464 887328 887528 891752 893367 906984 910884 918612 922562 932256 936624 942786 944208 965124 969274 984048 990522 995163 996664 998469 1003221 1022892 1045551 1053702 1107054 1121247 1160352 1191156 1209312 1214512 1219104 1224816 1257048 1261224 1286832 1290419 1296864 1320696 1326884 1331292 1337628 1362528 1363856 1366326 1377918 1383843 1394068 1404936 1416312 1442233 1447686 1449097 1453911 1476072 1494996 1534338 1588208 1619579 1676064 1681632 1760928 1775056 1783504 1786734 1813968 1821768 1837224 1845124 1873248 1885572 1885997 1888416 1930248 1938548 1968096 1981044 1990326 1993328 1996938 2006442 2045784 2049489 2091102 2107404 2117911 2214108 2242494 2301507 2382312 2429024 2449632 2514096 2522448 2573664 2580838 2641392 2653768 2662584 2675256 2680101 2727712 2732652 2755836 2767686 2788136 2809872 2832624 2884466 2895372 2898194 2907822 2952144 2985489 2989992 2995407 3009663 3068676 3136653 3176416 3239158 3363741 3550112 3567008 3573468 3627936 3643536 3674448 3690248 3771144 3771994 3860496 3871257 3877096 3962088 3980652 3986656 3993876 4012884 4091568 4098978 4151529 4182204 4214808 4235822 4326699 4347291 4361733 4428216 4484988 4603014 4764624 4858737 5028192 5044896 5161676 5282784 5307536 5325168 5350512 5360202 5465304 5511672 5535372 5576272 5619744 5657991 5665248 5768932 5790744 5796388 5815644 5904288 5970978 5979984 5990814 5996653 6019326 6137352 6273306 6300281 6353733 6478316 6727482 7146936 7287072 7348896 7380496 7542288 7543988 7720992 7742514 7754192 7841777 7924176 7961304 7987752 8025768 8183136 8197956 8238829 8303058 8364408 8429616 8471644 8653398 8694582 8723466 8764339 8856432 8956467 8969976 9206028 9208103 9409959 9529248 9717474 10323352 10615072 10650336 10701024 10720404 10930608 11023344 11070744 11152544 11315982 11537864 11581488 11592776 11613771 11631288 11941956 11959968 11981628 11993306 12038652 12274704 12454587 12546612 12600562 12707466 12956632 12980097 13041873 13085199 13454964 14293872 14576211 14760992 15084576 15087976 15485028 15508384 15683554 15848352 15922608 15975504 16051536 16395912 16477658 16606116 16728816 16859232 16943288 16973973 17306796 17389164 17446932 17528678 17712864 17912934 17939952 17989959 18412056 18416206 18819918 18900843 19061199 19434948 20646704 21440808 21861216 22046688 22141488 22631964 23075728 23162976 23185552 23227542 23262576 23525331 23883912 23963256 23986612 24077304 24517961 24549408 24716487 24909174 25093224 25201124 25414932 25913264 25960194 26083746 26170398 26293017 26909928 27532843 27624309 28587744 29152422 30175952 30970056 31367108 31845216 31951008 32103072 32791824 32955316 33212232 33457632 33886576 33947946 34613592 34778328 34841313 34893864 35057356 35825868 35879904 35979918 36824112 36832412 37639836 37801686 38122398 38286323 38869896 38940291 39125619 41293408 42881616 43728633 44282976 45263928 46151456 46371104 46455084 46525152 47050662 47767824 47926512 47973224 48154608 49035922 49432974 49818348 50186448 50402248 50829864 50921919 51826528 51920388 52167492 52340796 52586034 53819856 53969877 55065686 55248618 56702529 57183597 58304844 60351904 61940112 62734216 65583648 65910632 66424464 67773152 67895892 69227184 69556656 69682626 69787728 70114712 70575993 71651736 71959836 73553883 73648224 73664824 74149461 75279672 75603372 76244796 76572646 77739792 77880582 78251238 78879051 82598529 82872927 85763232 87457266 90527856 92910168 94101324 95535648 95853024 95946448 96309216 98071844 98865948 99636696 100372896 100804496 101659728 101843838 101943101 103840776 104334984 104681592 105172068 107104777 107639712 107939754 110131372 110497236 113405058 113936407 114367194 114858969 116609688 119705339 123880224 125468432 131821264 132848928 135791784 138454368 139113312 139365252 139575456 140229424 141151986 143303472 143919672 147107766 147329648 148298922 148993763 150559344 151206744 152489592 153145292 155479584 155761164 156502476 156537751 157758102 161909631 165197058 165745854 170107587 174914532 181055712 185820336 188202648 191892896 196143688 197731896 199273392 201608992 203319456 203687676 203886202 207681552 208669968 209363184 210344136 211727979 214209554 215879508 220262744 220661649 220994472 222448383 226810116 227872814 228734388 229717938 233219376 236637153 239410678 247795587 248618781 250936864 263642528 271583568 278730504 280458848 282303972 286606944 287839344 294215532 294659296 296597844 297987526 301118688 302413488 304979184 305829303 306290584 311522328 313004952 313075502 315516204 321314331 323819262 330394116 331491708 340215174 341809221 344576907 349829064 359116017 371640672 376405296 392287376 395463792 398546784 407375352 407772404 415363104 417339936 418726368 420688272 423455958 428419108 431759016 440525488 441323298 441988944 444896766 446981289 453620232 455745628 457468776 459435876 466438752 469613253 473274306 478821356 495591174 497237562 497722199 543167136 557461008 564607944 575678688 588431064 593195688 595975052 604826976 609958368 611658606 612581168 623044656 626009904 626151004 631032408 642628662 647638524 650867491 660788232 661984947 662983416 680430348 683618442 689153814 699658128 718232034 727440137 743386761 752810592 784574752 790927584 814750704 815544808 841376544 846911916 856838216 863518032 881050976 882646596 883977888 889793532 893962578 907240464 911491256 914937552 917487909 918871752 939226506 946548612 957642712 963942993 991182348 994475124 995444398 1025427663 1033730721 1077348051 1114922016 1129215888 1176862128 1186391376 1191950104 1223317212 1225162336 1246089312 1252019808 1252302008 1262064816 1285257324 1295277048 1301734982 1321576464 1323969894 1325966832 1340943867 1360860696 1367236884 1378307628 1399316256 1408839759 1436464068 1454880274 1486773522 1493166597 1629501408 1631089616 1693823832 1713676432 1727036064 1765293192 1779587064 1787925156 1814480928 1822982512 1829875104 1834975818 1837743504 1878453012 1893097224 1915285424 1927885986 1936918919 1952602473 1982364696 1988950248 1990888796 2034990763 2050855326 2067461442 2154696102 2182320411 2258431776 2353724256 2372782752 2383900208 2446634424 2504604016 2524129632 2570514648 2590554096 2603469964 2643152928 2647939788 2651933664 2681887734 2721721392 2734473768 2752463727 2756615256 2817679518 2872928136 2891828979 2909760548 2973547044 2986333194 3076282989 3232044153 3262179232 3387647664 3427352864 3530586384 3559174128 3575850312 3645965024 3669951636 3675487008 3756906024 3786194448 3830570848 3855771972 3873837838 3905204946 3964729392 3977900496 3981777592 4022831601 4069981526 4101710652 4134922884 4226519277 4309392204 4364640822 4479499791 4767800416 4893268848 5009208032 5141029296 5181108192 5206939928 5295879576 5363775468 5443442784 5468947536 5504927454 5513230512 5635359036 5745856272 5783657958 5810756757 5819521096 5857807419 5947094088 5972666388 6104972289 6152565978 6464088306 6546961233 6775295328 7061172768 7118348256 7151700624 7339903272 7513812048 7572388896 7711543944 7747675676 7810409892 7929458784 7955800992 7963555184 8045663202 8139963052 8203421304 8269845768 8453038554 8461277383 8618784408 8729281644 8958999582 9456721781 9786537696 10282058592 10413879856 10591759152 10727550936 10937895072 11009854908 11026461024 11270718072 11491712544 11567315916 11621513514 11639042192 11715614838 11894188176 11945332776 12209944578 12305131956 12366482329 12928176612 13093922466 13438499373 14303401248 14679806544 15027624096 15423087888 15495351352 15620819784 15927110368 16091326404 16279926104 16406842608 16539691536 16906077108 16922554766 17237568816 17432270271 17458563288 17573422257 17917999164 18314916867 18913443562 19640883699 20827759712 21183518304 21455101872 22019709816 22541436144 23134631832 23243027028 23278084384 23431229676 23788376352 23890665552 24419889156 24610263912 24732964658 25383832149 25856353224 26187844932 26876998746 28370165343 29359613088 30846175776 30990702704 31241639568 32182652808 32559852208 32813685216 33079383072 33812154216 33845109532 34475137632 34864540542 34917126576 35146844514 35835998328 36629833734 37099446987 37826887124 39281767398 42910203744 44039419632 45082872288 46269263664 46486054056 46862459352 47781331104 48839778312 49220527824 49465929316 50767664298 51712706448 52296810813 52375689864 53753997492 54944750601 56740330686 61981405408 62483279136 64365305616 65119704416 67624308432 67690219064 69729081084 69834253152 70293689028 71671996656 73259667468 74198893974 75653774248 76151496447 78563534796 85110496029 88078839264 92538527328 92972108112 93724918704 97679556624 98441055648 98931858632 101535328596 103425412896 104593621626 104751379728 107507994984 109889501202 111298340961 113480661372 128730611232 135248616864 135380438128 139458162168 140587378056 143343993312 146519334936 148397787948 151307548496 152302992894 157127069592 160764270277 170220992058 185944216224 187449837408 195359113248 197863717264 203070657192 209187243252 209502759456 215015989968 219779002404 222596681922 226961322744 228454489341 255331488087 270760876256 278916324336 281174756112 293038669872 296795575896 302615096992 304605985788 314254139184 321528540554 333895022883 340441984116 395727434528 406141314384 418374486504 430031979936 439558004808 445193363844 453922645488 456908978682 482292810831 510662976174 557832648672 562349512224 586077339744 593591151792 609211971576 628508278368 643057081108 667790045766 680883968232 812282628768 836748973008 879116009616 890386727688 907845290976 913817957364 964585621662 1021325952348 1187182303584 1218423943152 1286114162216 1335580091532 1361767936464 1446878432493 1673497946016 1758232019232 1780773455376 1827635914728 1929171243324 2042651904696 2436847886304 2572228324432 2671160183064 2723535872928 2893756864986 3561546910752 3655271829456 3858342486648 4085303809392 4340635297479 5144456648864 5342320366128 5787513729972 7310543658912 7716684973296 8170607618784 8681270594958 10684640732256 11575027459944 15433369946592 17362541189916 23150054919888 34725082379832 46300109839776 69450164759664 138900329519328
- Sum of all divisors σ(n): 498440355840000
- Sum of proper divisors (its aliquot sum) s(n): 359540026320672
- 138900329519328 is an abundant number, because the sum of its proper divisors (359540026320672) is greater than itself. Its abundance is 220639696801344
Bases of 138900329519328
- Binary: 111111001010100010000001100110011011000111000002
- Hexadecimal: 0x7E5440CCD8E0
- Base-36: 1D8HXHW8O0
Squares and roots of 138900329519328
- 138900329519328 squared (1389003295193282) is 19293301540577901387525571584
- 138900329519328 cubed (1389003295193283) is 2679845941502029055322098760711531175575552
-
The
square root of 138900329519328 is 11785598.3946224809 -
The
cube root of 138900329519328 is 51788.6303414745
Scales and comparisons
How big is 138900329519328?- 138,900,329,519,328 seconds is equal to 4,416,600 years, 43 weeks, 1 day, 18 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,900,329,519,328 would take you about eleven million, forty-one thousand, five hundred two 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 138900329519328 cubic inches would be around 4315.7 feet tall.
Recreational maths with 138900329519328
- 138900329519328 backwards is 823915923009831
- The number of decimal digits it has is: 15
- The sum of 138900329519328's digits is 63
- More coming soon!
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MLA style:
"Number 138900329519328 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138900329519328 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138900329519328/
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The information we have on file for 138900329519328 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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