138631078656000
138,631,078,656,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138631078656000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138631078656000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138631078656000:
211 × 32 × 53 × 7 × 732 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 73 × 73 × 1613)See below for interesting mathematical facts about the number 138631078656000 from the Numbermatics database.
Names of 138631078656000
- Cardinal: 138631078656000 can be written as One hundred thirty-eight trillion, six hundred thirty-one billion, seventy-eight million, six hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.38631078656 × 1014
Factors of 138631078656000
Divisors of 138631078656000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 73 75 80 84 90 96 100 105 112 120 125 126 128 140 144 146 150 160 168 175 180 192 200 210 219 224 225 240 250 252 256 280 288 292 300 315 320 336 350 360 365 375 384 400 420 438 448 450 480 500 504 511 512 525 560 576 584 600 630 640 657 672 700 720 730 750 768 800 840 875 876 896 900 960 1000 1008 1022 1024 1050 1095 1120 1125 1152 1168 1200 1260 1280 1314 1344 1400 1440 1460 1500 1533 1536 1575 1600 1613 1680 1750 1752 1792 1800 1825 1920 2000 2016 2044 2048 2100 2190 2240 2250 2304 2336 2400 2520 2555 2560 2625 2628 2688 2800 2880 2920 3000 3066 3072 3150 3200 3226 3285 3360 3500 3504 3584 3600 3650 3840 4000 4032 4088 4200 4380 4480 4500 4599 4608 4672 4800 4839 5040 5110 5120 5250 5256 5329 5376 5475 5600 5760 5840 6000 6132 6144 6300 6400 6452 6570 6720 7000 7008 7168 7200 7300 7665 7680 7875 8000 8064 8065 8176 8400 8760 8960 9000 9125 9198 9216 9344 9600 9678 10080 10220 10240 10500 10512 10658 10752 10950 11200 11291 11520 11680 12000 12264 12600 12775 12800 12904 13140 13440 14000 14016 14336 14400 14517 14600 15330 15360 15750 15987 16000 16128 16130 16352 16425 16800 17520 17920 18000 18250 18396 18432 18688 19200 19356 20160 20440 21000 21024 21316 21504 21900 22400 22582 22995 23040 23360 24000 24195 24528 25200 25550 25600 25808 26280 26645 26880 27375 28000 28032 28800 29034 29200 30660 30720 31500 31974 32000 32256 32260 32704 32850 33600 33873 35040 35840 36000 36500 36792 37303 37376 38325 38400 38712 40320 40325 40880 42000 42048 42632 43008 43800 44800 45164 45990 46080 46720 47961 48000 48390 49056 50400 51100 51200 51616 52560 53290 53760 54750 56000 56064 56455 57600 58068 58400 61320 63000 63875 63948 64000 64512 64520 65408 65700 67200 67746 70080 71680 72000 72585 73000 73584 74606 74752 76650 76800 77424 79935 80640 80650 81760 82125 84000 84096 85264 87600 89600 90328 91980 92160 93440 95922 96000 96780 98112 100800 101619 102200 103232 105120 106580 107520 109500 111909 112000 112128 112910 114975 115200 116136 116800 117749 120975 122640 126000 127750 127896 128000 129024 129040 130816 131400 133225 134400 135492 140160 144000 145170 146000 147168 149212 149504 153300 153600 154848 159870 161280 161300 163520 164250 168000 168192 169365 170528 175200 179200 180656 183960 186515 186880 191625 191844 192000 193560 196224 201600 201625 203238 204400 206464 210240 213160 215040 219000 223818 224000 224256 225820 229950 230400 232272 233600 235498 239805 241950 245280 252000 255500 255792 256000 258080 261632 262800 266450 268800 270984 280320 282275 288000 290340 292000 294336 298424 306600 309696 319740 322560 322600 327040 328500 335727 336000 336384 338730 341056 350400 353247 358400 361312 362925 367920 373030 373760 383250 383688 384000 387120 392448 399675 403200 403250 406476 408800 412928 420480 426320 438000 447636 448000 448512 451640 459900 460800 464544 467200 470996 479610 483900 490560 504000 508095 511000 511584 516160 523264 525600 532900 537600 541968 559545 560640 564550 574875 576000 580680 584000 588672 588745 596848 604875 613200 619392 639480 645120 645200 654080 657000 666125 671454 672000 672768 677460 682112 700800 706494 722624 725850 735840 746060 747520 766500 767376 768000 774240 784896 799350 806400 806500 812952 817600 824243 825856 840960 846825 852640 876000 895272 896000 903280 919800 929088 932575 934400 941992 959220 967800 981120 1008000 1016190 1022000 1023168 1032320 1046528 1051200 1059741 1065800 1075200 1083936 1119090 1121280 1129100 1149750 1152000 1161360 1168000 1177344 1177490 1193696 1199025 1209750 1226400 1238784 1278960 1290400 1308160 1314000 1332250 1342908 1344000 1345536 1354920 1364224 1401600 1411375 1412988 1445248 1451700 1471680 1492120 1533000 1534752 1548480 1569792 1598700 1612800 1613000 1625904 1635200 1648486 1651712 1678635 1681920 1693650 1705280 1752000 1766235 1790544 1792000 1806560 1814625 1839600 1858176 1865150 1868800 1883984 1918440 1935600 1962240 1998375 2016000 2032380 2044000 2046336 2064640 2102400 2119482 2131600 2167872 2238180 2242560 2258200 2299500 2304000 2322720 2336000 2354688 2354980 2387392 2398050 2419500 2452800 2472729 2477568 2540475 2557920 2580800 2616320 2628000 2664500 2685816 2688000 2709840 2728448 2797725 2803200 2822750 2825976 2890496 2903400 2943360 2943725 2984240 3066000 3069504 3096960 3139584 3197400 3225600 3226000 3251808 3270400 3296972 3303424 3357270 3363840 3387300 3410560 3504000 3532470 3581088 3613120 3629250 3679200 3716352 3730300 3737600 3767968 3836880 3871200 3924480 3996750 4032000 4064760 4088000 4092672 4121215 4129280 4204800 4234125 4238964 4263200 4335744 4476360 4516400 4599000 4645440 4662875 4672000 4709376 4709960 4774784 4796100 4839000 4905600 4945458 4955136 5080950 5115840 5161600 5232640 5256000 5298705 5329000 5371632 5376000 5419680 5456896 5595450 5606400 5645500 5651952 5780992 5806800 5886720 5887450 5968480 5995125 6132000 6139008 6193920 6394800 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53716320 54196800 54568960 55954500 56064000 56519520 57297408 57809920 58068000 58867200 58874500 59345496 59684800 60169739 60287488 61390080 61818225 61939200 63948000 65036160 65408000 65939440 67145400 67746000 67823424 68211200 68765416 69371904 70649400 71621760 72262400 73584000 74181870 74327040 74606000 75359360 76396544 76737600 77361093 77424000 78489600 79127328 81295200 81853440 82424300 82585600 83931750 84096000 84779280 85264000 85946112 85956770 86714880 88311750 89527200 90328000 90431232 92908800 94199200 95495680 95922000 98112000 98224128 98909160 101619000 102316800 103030375 103148124 103232000 104057856 105503104 105974100 107432640 108393600 111909000 113039040 114594816 115619840 116136000 117734400 117749000 118690992 119369600 120339478 120574976 122780160 123636450 123878400 127896000 128935155 130072320 130816000 131878880 132467625 134290800 135492000 135646848 136422400 137530832 141298800 143243520 144524800 147168000 148363740 148654080 149212000 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4220124160 4238964000 4297305600 4297838500 4332221208 4335744000 4400986624 4512730425 4521561600 4747639680 4774784000 4813579120 4945458000 4951109952 5064148992 5157406200 5202892800 5275155200 5371632000 5415276510 5425873920 5501233280 5651952000 5729740800 5776294944 5934549600 6016973900 6028748800 6139008000 6188887440 6330186240 6446757750 6503616000 6593944000 6601479936 6782342400 6876541600 7162176000 7220368680 7418187000 7521217375 7535936000 7596223488 7701726592 7736109300 7912732800 8251849920 8440248320 8477928000 8594611200 8595677000 8664442416 8671488000 8801973248 9025460850 9043123200 9495279360 9549568000 9627158240 9670136625 9890916000 9902219904 10314812400 10550310400 10743264000 10830553020 10851747840 11002466560 11303904000 11552589888 11869099200 12033947800 12278016000 12377774880 12660372480 12893515500 13007232000 13187888000 13202959872 13538191275 13564684800 13753083200 14324352000 14440737360 14836374000 15042434750 15071872000 15192446976 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77017265920 77361093000 79127328000 79217759232 82518499200 85946112000 86644424160 88019732480 90254608500 90431232000 92420719104 94952793600 96271582400 99022199040 103148124000 105503104000 108305530200 110024665600 115525898880 118690992000 120339478000 123227625472 123777748800 126603724800 132029598720 135381912750 135646848000 137530832000 138631078656 144407373600 154034531840 154722186000 158254656000 158435518464 165036998400 173288848320 180509217000 184841438208 189905587200 192543164800 198044398080 206296248000 211006208000 216611060400 220049331200 231051797760 237381984000 240678956000 247555497600 264059197440 270763825500 271293696000 275061664000 277262157312 288814747200 308069063680 309444372000 316509312000 330073996800 346577696640 361018434000 369682876416 379811174400 385086329600 396088796160 412592496000 433222120800 440098662400 462103595520 474763968000 481357912000 495110995200 541527651000 550123328000 554524314624 577629494400 616138127360 618888744000 633018624000 660147993600 693155393280 722036868000 770172659200 792177592320 825184992000 866444241600 924207191040 949527936000 962715824000 990221990400 1083055302000 1100246656000 1109048629248 1155258988800 1237777488000 1320295987200 1386310786560 1444073736000 1540345318400 1650369984000 1732888483200 1848414382080 1899055872000 1925431648000 1980443980800 2166110604000 2200493312000 2310517977600 2475554976000 2772621573120 2888147472000 3080690636800 3300739968000 3465776966400 3850863296000 3960887961600 4332221208000 4621035955200 4951109952000 5545243146240 5776294944000 6601479936000 6931553932800 7701726592000 8664442416000 9242071910400 9902219904000 11552589888000 13863107865600 15403453184000 17328884832000 19804439808000 23105179776000 27726215731200 34657769664000 46210359552000 69315539328000 138631078656000
- Sum of all divisors σ(n): 579362446877760
- Sum of proper divisors (its aliquot sum) s(n): 440731368221760
- 138631078656000 is an abundant number, because the sum of its proper divisors (440731368221760) is greater than itself. Its abundance is 302100289565760
Bases of 138631078656000
- Binary: 111111000010101100100000011001010111000000000002
- Hexadecimal: 0x7E159032B800
- Base-36: 1D528KVSW0
Squares and roots of 138631078656000
- 138631078656000 squared (1386310786560002) is 19218575969326058766336000000
- 138631078656000 cubed (1386310786560003) is 2664291916859952296146404340924416000000000
-
The
square root of 138631078656000 is 11774169.9773699549 -
The
cube root of 138631078656000 is 51755.1455321881
Scales and comparisons
How big is 138631078656000?- 138,631,078,656,000 seconds is equal to 4,408,039 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 138,631,078,656,000 would take you about eleven million, twenty thousand and ninety-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 138631078656000 cubic inches would be around 4312.9 feet tall.
Recreational maths with 138631078656000
- 138631078656000 backwards is 000656870136831
- The number of decimal digits it has is: 15
- The sum of 138631078656000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 138631078656000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138631078656000/
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The information we have on file for 138631078656000 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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