138342493472064
138,342,493,472,064 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138342493472064 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138342493472064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138342493472064:
26 × 3 × 7 × 312 × 432 × 53 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 31 × 31 × 43 × 43 × 53 × 1093)See below for interesting mathematical facts about the number 138342493472064 from the Numbermatics database.
Names of 138342493472064
- Cardinal: 138342493472064 can be written as One hundred thirty-eight trillion, three hundred forty-two billion, four hundred ninety-three million, four hundred seventy-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38342493472064 × 1014
Factors of 138342493472064
Divisors of 138342493472064
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 43 48 53 56 62 64 84 86 93 96 106 112 124 129 159 168 172 186 192 212 217 224 248 258 301 318 336 344 371 372 424 434 448 496 516 602 636 651 672 688 742 744 848 868 903 961 992 1032 1093 1113 1204 1272 1302 1333 1344 1376 1484 1488 1643 1696 1736 1806 1849 1922 1984 2064 2186 2226 2279 2408 2544 2604 2666 2752 2883 2968 2976 3279 3286 3392 3472 3612 3698 3844 3999 4128 4372 4452 4558 4816 4929 5088 5208 5332 5547 5766 5936 5952 6558 6572 6727 6837 6944 7224 7396 7651 7688 7998 8256 8744 8904 9116 9331 9632 9858 10176 10416 10664 11094 11501 11532 11872 12943 13116 13144 13454 13674 13888 14448 14792 15302 15376 15953 15996 17488 17808 18232 18662 19264 19716 20181 20832 21328 22188 22953 23002 23064 23744 25886 26232 26288 26908 27348 27993 28896 29584 30604 30752 31906 31992 33883 34503 34976 35616 36464 37324 38829 39432 40362 41323 41664 42656 44376 45906 46004 46128 46999 47859 50933 51772 52464 52576 53816 54696 55986 57319 57792 57929 59168 61208 61504 63812 63984 67766 69006 69952 70649 71232 72928 74648 77658 78864 80724 82646 85312 88752 91812 92008 92256 93998 95718 97997 101649 101866 103544 104928 105152 107632 109392 111972 114638 115858 118336 122416 123969 127624 127968 135532 138012 140997 141298 145856 149296 152799 155316 157728 161448 165292 171957 173787 177504 183624 184016 184512 187996 191436 195994 203298 203732 207088 209856 211947 215264 218784 223944 229276 231716 237181 244832 247938 255248 255936 271064 276024 281994 282596 289261 293991 298592 305598 310632 315456 322896 328993 330584 343914 347574 355008 356531 367248 368032 375992 382872 391988 401233 405503 406596 407464 414176 423894 430528 437568 447888 458552 463432 474362 489664 494543 495876 510496 542128 552048 563988 565192 578522 587982 597184 611196 621264 645792 657986 661168 685979 687828 695148 711543 713062 734496 736064 751984 765744 783976 802466 811006 813192 814928 828352 847788 867783 895776 917104 926864 948724 986979 989086 991752 1020992 1050373 1069593 1084256 1104096 1127976 1130384 1157044 1175964 1203699 1216509 1222392 1242528 1291584 1315972 1322336 1371958 1375656 1390296 1423086 1426124 1456969 1468992 1483629 1503968 1531488 1567952 1604932 1622012 1626384 1629856 1695576 1735566 1776889 1791552 1795799 1834208 1853728 1897448 1973958 1978172 1983504 2020957 2057937 2100746 2139186 2168512 2190119 2208192 2255952 2260768 2314088 2351928 2407398 2433018 2444784 2485056 2490947 2631944 2644672 2743916 2751312 2780592 2846172 2852248 2913938 2967258 3007936 3037907 3062976 3135904 3151119 3209864 3244024 3252768 3259712 3391152 3471132 3553778 3591598 3668416 3707456 3794896 3947916 3956344 3967008 4041914 4115874 4201492 4278372 4370907 4380238 4511904 4521536 4628176 4703856 4814796 4866036 4889568 4981894 5263888 5330667 5387397 5487832 5502624 5561184 5692344 5704496 5827876 5934516 6062871 6075814 6271808 6302238 6419728 6488048 6505536 6570357 6782304 6942264 7107556 7183196 7352611 7472841 7589792 7895832 7912688 7934016 8083828 8231748 8402984 8556744 8741814 8760476 9023808 9113721 9256352 9407712 9629592 9732072 9779136 9963788 10198783 10527776 10661334 10774794 10975664 11005248 11122368 11384688 11408992 11655752 11869032 12125742 12151628 12438223 12570593 12604476 12839456 12976096 13140714 13564608 13884528 14146699 14215112 14366392 14705222 14945682 15179584 15330833 15791664 15825376 16167656 16463496 16805968 17113488 17436629 17483628 17520952 18227442 18512704 18815424 19259184 19464144 19927576 20397566 21055552 21265349 21322668 21549588 21951328 22057833 22769376 22817984 23311504 23738064 24251484 24303256 24876446 25141186 25208952 25678912 25952192 26281428 27769056 28293398 28430224 28732784 29410444 29891364 30596349 30661666 31583328 31650752 32335312 32926992 33611936 34226976 34873258 34967256 35041904 36454884 37314669 37711779 38518368 38928288 39855152 40795132 42440097 42530698 42645336 43099176 43902656 44115666 45166039 45538752 45992499 46623008 47476128 48502968 48606512 49752892 50282372 50417904 52309887 52562856 55538112 55669769 56586796 56860448 57465568 58820888 59782728 61192698 61323332 62649667 63166656 63796047 64670624 65853984 67223872 68453952 69746516 69934512 70083808 72909768 74629338 75423558 77036736 77219357 77856576 79710304 81590264 84880194 85061396 85290672 86198352 88231332 90332078 91984998 93246016 94175117 94952256 97005936 97213024 99505784 100564744 100835808 104619774 105125712 107110721 111339538 113173592 113720896 114931136 117641776 119565456 122385396 122646664 125299334 127592094 129341248 131707968 135498117 139493032 139869024 140167616 145819536 149258676 150847116 154438714 159420608 163180528 167009307 169760388 170122792 170581344 172396704 176462664 180664156 183969996 187949001 188350234 194011872 194426048 199011568 201129488 201671616 209239548 210251424 214221442 222679076 226347184 231658071 235283552 239130912 244770792 245293328 250598668 255184188 270996234 278986064 279738048 282525351 291639072 298517352 301694232 308877428 316162273 321332163 326361056 334018614 339520776 340245584 341162688 344793408 352925328 361328312 367939992 375898002 376700468 388023744 389688383 398023136 402258976 418479096 420502848 428442884 438547669 445358152 452694368 463316142 470567104 478261824 489541584 490586656 501197336 510368376 540535499 541992468 557972128 565050702 583278144 597034704 603388464 617754856 632324546 642664326 652722112 659225819 668037228 679041552 680491168 705850656 722656624 735879984 749775047 751796004 753400936 779376766 796046272 804517952 836958192 856885768 877095338 890716304 905388736 926632284 948486819 979083168 981173312 1002394672 1020736752 1081070998 1083984936 1115944256 1130101404 1169065149 1194069408 1206776928 1235509712 1264649092 1285328652 1315643007 1318451638 1336074456 1358083104 1360982336 1411701312 1445313248 1471759968 1499550094 1503592008 1506801872 1558753532 1621606497 1673916384 1713771536 1754190676 1781432608 1853264568 1896973638 1942139677 1958166336 1977677457 2004789344 2041473504 2162141996 2167969872 2249325141 2260202808 2338130298 2388138816 2393800067 2413553856 2471019424 2529298184 2570657304 2631286014 2636903276 2672148912 2716166208 2890626496 2943519936 2999100188 3007184016 3013603744 3117507064 3243212994 3320432351 3347832768 3427543072 3508381352 3562865216 3706529136 3793947276 3884279354 3955354914 4009578688 4082947008 4324283992 4335939744 4498650282 4520405616 4676260596 4787600134 4942038848 5058596368 5141314608 5262572028 5273806552 5344297824 5826419031 5998200376 6014368032 6027207488 6235014128 6486425988 6640864702 6855086144 7016762704 7181400201 7413058272 7587894552 7768558708 7910709828 8648567984 8671879488 8997300564 9040811232 9352521192 9575200268 9961297053 10117192736 10282629216 10525144056 10547613104 10688595648 11652838062 11996400752 12028736064 12470028256 12972851976 13281729404 13594977739 14033525408 14362800402 14826116544 15175789104 15537117416 15821419656 16756600469 17297135968 17994601128 18081622464 18705042384 19150400536 19922594106 20234385472 20565258432 21050288112 21095226208 23243026457 23305676124 23992801504 24940056512 25945703952 26563458808 27189955478 28067050816 28725600804 30351578208 31074234832 31642839312 33513200938 34594271936 35989202256 37410084768 38300801072 39845188212 40784933217 42100576224 42190452416 46486052914 46611352248 47985603008 50269801407 51891407904 53126917616 54379910956 57451201608 60703156416 62148469664 63285678624 67026401876 69729079371 71978404512 74820169536 76601602144 79690376424 81569866434 84201152448 92972105828 93222704496 100539602814 102933402881 103782815808 106253835232 108759821912 114902403216 124296939328 126571357248 134052803752 139458158742 143956809024 153203204288 159380752848 163139732868 185944211656 186445408992 201079205628 205866805762 212507670464 217519643824 229804806432 268105607504 278916317484 308800208643 318761505696 326279465736 371888423312 372890817984 402158411256 411733611524 435039287648 459609612864 536211215008 557832634968 617600417286 637523011392 652558931472 720533820167 743776846624 804316822512 823467223048 870078575296 1072422430016 1115665269936 1235200834572 1305117862944 1441067640334 1487553693248 1608633645024 1646934446096 2161601460501 2231330539872 2470401669144 2610235725888 2882135280668 3217267290048 3293868892192 4323202921002 4462661079744 4940803338288 5764270561336 6587737784384 8646405842004 9881606676576 11528541122672 17292811684008 19763213353152 23057082245344 34585623368016 46114164490688 69171246736032 138342493472064
- Sum of all divisors σ(n): 451299283019136
- Sum of proper divisors (its aliquot sum) s(n): 312956789547072
- 138342493472064 is an abundant number, because the sum of its proper divisors (312956789547072) is greater than itself. Its abundance is 174614296075008
Bases of 138342493472064
- Binary: 111110111010010010111110010111001000101010000002
- Hexadecimal: 0x7DD25F2E4540
- Base-36: 1D1DNWPRUO
Squares and roots of 138342493472064
- 138342493472064 squared (1383424934720642) is 19138645500068070453948420096
- 138342493472064 cubed (1383424934720643) is 2647687940157314085642999740264646312198144
-
The
square root of 138342493472064 is 11761908.5811812021 -
The
cube root of 138342493472064 is 51719.2080782461
Scales and comparisons
How big is 138342493472064?- 138,342,493,472,064 seconds is equal to 4,398,863 years, 19 weeks, 2 days, 54 minutes, 24 seconds.
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To count from 1 to 138,342,493,472,064 would take you about ten million, nine hundred ninety-seven thousand, one hundred fifty-eight 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 138342493472064 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138342493472064
- 138342493472064 backwards is 460274394243831
- The number of decimal digits it has is: 15
- The sum of 138342493472064's digits is 60
- More coming soon!
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The information we have on file for 138342493472064 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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