138368398705362000
138,368,398,705,362,000 is an even composite number composed of six prime numbers multiplied together.
138368398705362000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138368398705362000:
24 × 33 × 53 × 72 × 433 × 8112
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 43 × 43 × 43 × 811 × 811)See below for interesting mathematical facts about the number 138368398705362000 from the Numbermatics database.
Names of 138368398705362000
- Cardinal: 138368398705362000 can be written as One hundred thirty-eight quadrillion, three hundred sixty-eight trillion, three hundred ninety-eight billion, seven hundred five million, three hundred sixty-two thousand.
Scientific notation
- Scientific notation: 1.38368398705362 × 1017
Factors of 138368398705362000
Divisors of 138368398705362000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 43 45 48 49 50 54 56 60 63 70 72 75 80 84 86 90 98 100 105 108 112 120 125 126 129 135 140 144 147 150 168 172 175 180 189 196 200 210 215 216 225 240 245 250 252 258 270 280 294 300 301 315 336 344 350 360 375 378 387 392 400 420 430 432 441 450 490 500 504 516 525 540 560 588 600 602 630 645 675 688 700 720 735 750 756 774 784 811 840 860 875 882 900 903 945 980 1000 1008 1032 1050 1075 1080 1125 1161 1176 1200 1204 1225 1260 1290 1323 1350 1400 1470 1500 1505 1512 1548 1575 1622 1680 1720 1750 1764 1800 1806 1849 1890 1935 1960 2000 2064 2100 2107 2150 2160 2205 2250 2322 2352 2408 2433 2450 2520 2580 2625 2646 2700 2709 2800 2940 3000 3010 3024 3096 3150 3225 3244 3375 3440 3500 3528 3600 3612 3675 3698 3780 3870 3920 4055 4200 4214 4300 4410 4500 4515 4644 4725 4816 4866 4900 5040 5160 5250 5292 5375 5400 5418 5547 5677 5805 5880 6000 6020 6125 6192 6300 6321 6450 6488 6615 6750 7000 7056 7224 7299 7350 7396 7525 7560 7740 7875 8110 8127 8400 8428 8600 8820 9000 9030 9245 9288 9450 9675 9732 9800 10320 10500 10535 10584 10750 10800 10836 11025 11094 11354 11610 11760 12040 12165 12250 12600 12642 12900 12943 12976 13230 13500 13545 14000 14448 14598 14700 14792 15050 15120 15480 15750 16125 16220 16254 16641 16856 17031 17200 17640 18000 18060 18375 18490 18576 18900 18963 19350 19464 19600 20275 21000 21070 21168 21500 21672 21897 22050 22188 22575 22708 23220 23625 24080 24330 24500 25200 25284 25800 25886 26460 27000 27090 27735 28385 29025 29196 29400 29584 30100 30960 31500 31605 32250 32440 32508 33075 33282 33712 34062 34873 35280 36120 36495 36750 36980 37625 37800 37926 38700 38829 38928 39739 40550 40635 42000 42140 43000 43344 43794 44100 44376 45150 45416 46225 46440 47250 48375 48660 49000 49923 50568 51093 51600 51772 52675 52920 54000 54180 55125 55470 56770 56889 58050 58392 58800 60200 60825 63000 63210 64500 64715 64880 65016 66150 66564 67725 68124 69746 72240 72990 73500 73960 75250 75600 75852 77400 77658 79478 79507 81100 81270 83205 84280 85155 86000 87588 88200 88752 90300 90601 90832 92450 92880 94500 94815 96750 97320 98000 99846 101136 101375 102186 103544 104619 105350 105840 108360 109485 110250 110940 112875 113540 113778 116100 116487 116784 119217 120400 121650 126000 126420 129000 129430 130032 132300 133128 135450 136248 138675 139492 141925 145125 145980 147000 147920 150500 151704 153279 154800 155316 158025 158956 159014 162200 162540 165375 166410 168560 170310 174365 175176 176400 180600 181202 182475 184900 189000 189630 193500 194145 194640 198695 199692 202750 203175 204372 207088 209238 210700 216720 218970 220500 221880 225750 227080 227556 231125 232200 232974 238434 238521 243300 244111 249615 252840 255465 258000 258860 263375 264600 266256 270900 271803 272496 277350 278984 283850 284445 290250 291960 294000 301000 303408 304125 306558 310632 313857 316050 317912 318028 323575 324400 325080 330750 332820 338625 340620 348730 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425644145150 426536370855 427623885360 435082441500 435241194750 437805406440 440864466000 445441547250 451361239000 454972128912 456047298375 459695676762 470640811923 473929300950 476721442568 486450451600 487470138120 495972524250 498894532920 507781393875 509076054000 510772974180 519681805125 522934235470 525366487728 534529856700 536311622889 541633486800 547256758050 554327258800 566825742000 568715161140 580109922000 580321593000 593922063000 595901803210 598673439504 608063064500 609337672650 612927569016 623618166150 627521082564 631905734600 638466217725 656708109660 661296699000 668162320875 677041858500 681030632240 682458193368 692909073500 696385911600 710893951425 712706475600 715082163852 729675677400 732107929658 748341799380 758286881520 763614081000 766159461270 784401353205 789882168250 793556038800 812450230200 820885137075 831490888200 836694776752 851288290300 853072741710 870164883000 870482389500 875610812880 890883094500 893852704815 902722478000 912094596750 919391353524 935427249225 941281623846 947858601900 953442885136 974940276240 991945048500 997789065840 1015562787750 1021545948360 1039363610250 1045868470940 1064110362875 1069059713400 1072623245778 1094513516100 1098161894487 1137430322280 1149239191905 1160643186000 1184823252375 1187844126000 1191803606420 1216126129000 1218675345300 1225855138032 1247236332300 1255042165128 1263811469200 1276932435450 1307335588675 1313416219320 1322593398000 1336324641750 1354083717000 1364916386736 1368141895125 1385818147000 1411922435769 1421787902850 1430164327704 1459351354800 1464215859316 1489754508025 1496683598760 1523344181625 1527228162000 1532318922540 1559045415375 1568802706410 1579764336500 1608934868667 1624900460400 1641770274150 1662981776400 1702576580600 1706145483420 1740329766000 1740964779000 1781766189000 1787705409630 1824189193500 1830269824145 1838782707048 1870854498450 1882563247692 1895717203800 1915398653175 1983890097000 2031125575500 2043091896720 2078727220500 2091736941880 2128220725750 2132681854275 2138119426800 2145246491556 2189027032200 2196323788974 2274860644560 2298478383810 2353204059615 2369646504750 2383607212840 2432252258000 2437350690600 2494472664600 2510084330256 2553864870900 2562377753803 2614671177350 2626832438640 2672649283500 2681558114445 2708167434000 2736283790250 2771636294000 2823844871538 2843575805700 2860328655408 2928431718632 2979509016050 2993367197520 3046688363250 3064637845080 3118090830750 3137605412820 3159528673000 3192331088625 3217869737334 3283540548300 3294485683461 3405153161200 3412290966840 3481929558000 3554469757125 3563532378000 3575410819260 3648378387000 3660539648290 3677565414096 3741708996900 3765126495384 3791434407600 3830797306350 3922006766025 3967780194000 4062251151000 4104425685375 4157454441000 4183473883760 4256441451500 4265363708550 4290492983112 4378054064400 4392647577948 4469263524075 4596956767620 4677136246125 4706408119230 4739293009500 4767214425680 4874701381200 4988945329200 5107729741800 5124755507606 5229342354700 5345298567000 5363116228890 5472567580500 5490809472435 5647689743076 5687151611400 5746195959525 5856863437264 5959018032100 6093376726500 6129275690160 6236181661500 6275210825640 6319057346000 6384662177250 6435739474668 6536677943375 6567081096600 6588971366922 6824581933680 7059612178845 7108939514250 7150821638520 7296756774000 7321079296580 7448772540125 7483417993800 7530252990768 7661594612700 7687133261409 7844013532050 8044674343335 8124502302000 8208851370750 8314908882000 8512882903000 8530727417100 8580985966224 8785295155896 8938527048150 9151349120725 9193913535240 9354272492250 9412816238460 9478586019000 9576993265875 9883457050383 10215459483600 10249511015212 10458684709400 10663409271375 10690597134000 10726232457780 10945135161000 10981618944870 11295379486152 11374303222800 11492391919050 11766020298075 11918036064200 12186753453000 12472363323000 12550421651280 12769324354500 12811888769015 12871478949336 13073355886750 13134162193200 13177942733844 13407790572225 14119224357690 14217879028500 14301643277040 14642158593160 14897545080250 14966835987600 15323189225400 15374266522818 15688027064100 16089348686670 16417702741500 16472428417305 17025765806000 17061454834200 17570590311792 17877054096300 18302698241450 18387827070480 18708544984500 18825632476920 18957172038000 19153986531750 19610033830125 19766914100766 20499022030424 20917369418800 21326818542750 21452464915560 21890270322000 21963237889740 22346317620375 22590758972304 22984783838100 23061399784227 23532040596150 23836072128400 24373506906000 24944726646000 25538648709000 25623777538030 25742957898672 26146711773500 26355885467688 26815581144450 27454047362175 28238448715380 28435758057000 28730979797625 29284317186320 29795090160500 30646378450800 30748533045636 31376054128200 32178697373340 32835405483000 32944856834610 34122909668400 35298060894225 35754108192600 36605396482900 37417089969000 37651264953840 38307973063500 38435666307045 39220067660250 39533828201532 40223371716675 40998044060848 42653637085500 42904929831120 43926475779480 44692635240750 45756745603625 45969567676200 46122799568454 47064081192300 49417285251915 51077297418000 51247555076060 52293423547000 52711770935376 53631162288900 54908094724350 56476897430760 56871516114000 57461959595250 58830101490375 59590180321000 61497066091272 62752108256400 64059443845075 64357394746680 65670810966000 65889713669220 67038952861125 69184199352681 70596121788450 71508216385200 73210792965800 74834179938000 76615946127000 76871332614090 78440135320500 79067656403064 80446743433350 82362142086525 85307274171000 87852951558960 89385270481500 91513491207250 91939135352400 92245599136908 94128162384600 98834570503830 102495110152120 104586847094000 107262324577800 109816189448700 112953794861520 114923919190500 115306998921135 117660202980750 119180360642000 122994132182544 128118887690150 128714789493360 131779427338440 134077905722250 137270236810875 138368398705362 141192243576900 146421585931600 153231892254000 153742665228180 156880270641000 158135312806128 160893486866700 164724284173050 170614548342000 176490304471125 178770540963000 183026982414500 184491198273816 188256324769200 192178331535225 197669141007660 201116858583375 204990220304240 214524649155600 219632378897400 229847838381000 230613997842270 235320405961500 247086426259575 256237775380300 263558854676880 268155811444500 274540473621750 276736797410724 282384487153800 307485330456360 313760541282000 320297219225375 321786973733400 329448568346100 345920996763405 352980608942250 357541081926000 366053964829000 368982396547632 384356663070450 395338282015320 402233717166750 411810710432625 439264757794800 459695676762000 461227995684540 470640811923000 494172852519150 512475550760600 536311622889000 549080947243500 553473594821448 564768974307600 576534994605675 614970660912720 640594438450750 643573947466800 658897136692200 691841993526810 705961217884500 732107929658000 768713326140900 790676564030640 804467434333500 823621420865250 922455991369080 941281623846000 960891657676125 988345705038300 1024951101521200 1072623245778000 1098161894487000 1106947189642896 1153069989211350 1235432131297875 1281188876901500 1317794273384400 1383683987053620 1411922435769000 1537426652281800 1608934868667000 1647242841730500 1729604983817025 1844911982738160 1921783315352250 1976691410076600 2196323788974000 2306139978422700 2470864262595750 2562377753803000 2767367974107240 2823844871538000 2882674973028375 3074853304563600 3217869737334000 3294485683461000 3459209967634050 3843566630704500 3953382820153200 4612279956845400 4941728525191500 5124755507606000 5534735948214480 5765349946056750 6588971366922000 6918419935268100 7687133261409000 8648024919085125 9224559913690800 9883457050383000 11530699892113500 13836839870536200 15374266522818000 17296049838170250 19766914100766000 23061399784227000 27673679741072400 34592099676340500 46122799568454000 69184199352681000 138368398705362000
- Sum of all divisors σ(n): 591048455808096000
- Sum of proper divisors (its aliquot sum) s(n): 452680057102734000
- 138368398705362000 is an abundant number, because the sum of its proper divisors (452680057102734000) is greater than itself. Its abundance is 314311658397372000
Bases of 138368398705362000
- Binary: 1111010111001010101010011010101001111100100000100010100002
- Hexadecimal: 0x1EB955354F90450
- Base-36: 11UFI4TYZJO0
Squares and roots of 138368398705362000
- 138368398705362000 squared (1383683987053620002) is 19145813760286024397687551044000000
- 138368398705362000 cubed (1383683987053620003) is 2649175591921862703279812083703193891497928000000000
-
The
square root of 138368398705362000 is 371979029.9269059603 -
The
cube root of 138368398705362000 is 517224.3609228259
Scales and comparisons
How big is 138368398705362000?- 138,368,398,705,362,000 seconds is equal to 4,399,687,077 years, 14 weeks, 21 hours.
-
To count from 1 to 138,368,398,705,362,000 would take you about thirteen billion, one hundred ninety-nine million, sixty-one thousand, two hundred thirty-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 138368398705362000 cubic inches would be around 43102 feet tall.
Recreational maths with 138368398705362000
- 138368398705362000 backwards is 000263507893863831
- 138368398705362000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138368398705362000's digits is 72
- More coming soon!
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"Number 138368398705362000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 138368398705362000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/138368398705362000/
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The information we have on file for 138368398705362000 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 138368398705362000, math, Factors of 138368398705362000, curriculum, school, college, exams, university, Prime factorization of 138368398705362000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixty-eight trillion, three hundred ninety-eight billion, seven hundred five million, three hundred sixty-two thousand.