138543641152000
138,543,641,152,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138543641152000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138543641152000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138543641152000:
29 × 53 × 72 × 61 × 449 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 61 × 449 × 1613)See below for interesting mathematical facts about the number 138543641152000 from the Numbermatics database.
Names of 138543641152000
- Cardinal: 138543641152000 can be written as One hundred thirty-eight trillion, five hundred forty-three billion, six hundred forty-one million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.38543641152 × 1014
Factors of 138543641152000
Divisors of 138543641152000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 125 128 140 160 175 196 200 224 244 245 250 256 280 305 320 350 392 400 427 448 449 488 490 500 512 560 610 640 700 784 800 854 875 896 898 976 980 1000 1120 1220 1225 1280 1400 1525 1568 1600 1613 1708 1750 1792 1796 1952 1960 2000 2135 2240 2245 2440 2450 2560 2800 2989 3050 3136 3143 3200 3226 3416 3500 3584 3592 3904 3920 4000 4270 4480 4490 4880 4900 5600 5978 6100 6125 6272 6286 6400 6452 6832 7000 7184 7625 7808 7840 8000 8065 8540 8960 8980 9760 9800 10675 11200 11225 11291 11956 12200 12250 12544 12572 12800 12904 13664 14000 14368 14945 15250 15616 15680 15715 16000 16130 17080 17920 17960 19520 19600 21350 22001 22400 22450 22582 23912 24400 24500 25088 25144 25808 27328 27389 28000 28736 29890 30500 31232 31360 31430 32000 32260 34160 35920 39040 39200 40325 42700 44002 44800 44900 45164 47824 48800 49000 50288 51616 53375 54656 54778 56000 56125 56455 57472 59780 61000 62720 62860 64000 64520 68320 71840 74725 78080 78400 78575 79037 80650 85400 88004 89600 89800 90328 95648 97600 98000 98393 100576 103232 106750 109312 109556 110005 112000 112250 112910 114944 119560 122000 125440 125720 129040 136640 136945 143680 149450 156160 156800 157150 158074 161300 170800 176008 179600 180656 191296 191723 195200 196000 196786 201152 201625 206464 213500 218624 219112 220010 224000 224500 225820 229888 239120 244000 251440 258080 273280 273890 282275 287360 298900 313600 314300 316148 322600 341600 352016 359200 361312 373625 382592 383446 390400 392000 392875 393572 395185 402304 403250 412928 427000 438224 440020 448000 449000 451640 478240 488000 491965 502880 516160 546560 547780 550025 564550 574720 597800 627200 628600 632296 645200 683200 684725 688751 704032 718400 722624 724237 747250 765184 766892 780800 784000 785750 787144 790370 804608 806500 825856 854000 876448 880040 898000 903280 956480 958615 976000 983930 1005760 1032320 1093120 1095560 1100050 1129100 1149440 1195600 1257200 1264592 1290400 1342061 1366400 1369450 1377502 1408064 1411375 1436800 1445248 1448474 1494500 1530368 1533784 1568000 1571500 1574288 1580740 1609216 1613000 1708000 1752896 1760080 1796000 1806560 1912960 1917230 1952000 1967860 1975925 2011520 2064640 2191120 2200100 2258200 2391200 2459825 2514400 2529184 2580800 2684122 2732800 2738900 2750125 2755004 2816128 2822750 2873600 2890496 2896948 2989000 3067568 3136000 3143000 3148576 3161480 3226000 3416000 3423625 3443755 3505792 3520160 3592000 3613120 3621185 3825920 3834460 3904000 3935720 3951850 4023040 4129280 4382240 4400200 4516400 4782400 4793075 4821257 4919650 5028800 5058368 5069659 5161600 5368244 5465600 5477800 5500250 5510008 5632256 5645500 5747200 5780992 5793896 5978000 6135136 6286000 6297152 6322960 6452000 6710305 6832000 6847250 6887510 7011584 7040320 7184000 7226240 7242370 7651840 7668920 7871440 7903700 8046080 8764480 8800400 9032800 9564800 9586150 9642514 9839300 9879625 10057600 10116736 10139318 10323200 10736488 10955600 11000500 11020016 11264512 11291000 11587792 11956000 12270272 12299125 12572000 12594304 12645920 12904000 13420610 13664000 13694500 13775020 14023168 14080640 14368000 14452480 14484740 15337840 15742880 15807400 17218775 17528960 17600800 18065600 18105925 19129600 19172300 19285028 19678600 19759250 20115200 20233472 20278636 20646400 21472976 21911200 22001000 22040032 22582000 23175584 23912000 23965375 24106285 24540544 24598250 25144000 25188608 25291840 25348295 25808000 26841220 27328000 27389000 27550040 28161280 28736000 28904960 28969480 30675680 31485760 31614800 33551525 34437550 35057920 35201600 35487613 36131200 36211850 38259200 38344600 38570056 39357200 39518500 40230400 40466944 40557272 42945952 43822400 44002000 44080064 44178457 45164000 46351168 47824000 47930750 48212570 49081088 49196500 50288000 50377216 50583680 50696590 51616000 53682440 54778000 55100080 56322560 57938960 61351360 62971520 63229600 67103050 68875100 70115840 70403200 70975226 72262400 72423700 76689200 77140112 78714400 79037000 81114544 85891904 86093875 87644800 88004000 88160128 88356914 90328000 90529625 92702336 95648000 95861500 96425140 98162176 98393000 100576000 101167360 101393180 103232000 107364880 109556000 110200160 115877920 120531425 122702720 125943040 126459200 126741475 134206100 137750200 140806400 141950452 144524800 144847400 153378400 154280224 157428800 158074000 162229088 167757625 171783808 172187750 175289600 176008000 176320256 176713828 177438065 180656000 181059250 185404672 191296000 191723000 192850280 196786000 201152000 202334720 202786360 214729760 219112000 220400320 220892285 231755840 241062850 245405440 251886080 252918400 253482950 268412200 275500400 281612800 283900904 289694800 306756800 308560448 309249199 314857600 316148000 324458176 335515250 343567616 344375500 350579200 352016000 352640512 353427656 354876130 361312000 362118500 370809344 383446000 385700560 393572000 405572720 429459520 438224000 440800640 441784570 463511680 482125700 490810880 505836800 506965900 536824400 551000800 567801808 579389600 602657125 613513600 617120896 618498398 629715200 632296000 633707375 648916352 671030500 687135232 688751000 704032000 706855312 709752260 722624000 724237000 766892000 771401120 787144000 811145440 858919040 876448000 881601280 883569140 887190325 927023360 964251400 1011673600 1013931800 1073648800 1102001600 1104461425 1135603616 1158779200 1205314250 1227027200 1234241792 1236996796 1259430400 1264592000 1267414750 1297832704 1342061000 1377502000 1408064000 1413710624 1419504520 1448474000 1533784000 1542802240 1546245995 1574288000 1622290880 1717838080 1752896000 1763202560 1767138280 1774380650 1854046720 1928502800 2027863600 2147297600 2164744393 2204003200 2208922850 2271207232 2317558400 2410628500 2454054400 2468483584 2473993592 2529184000 2534829500 2595665408 2684122000 2755004000 2827421248 2839009040 2896948000 3067568000 3085604480 3092491990 3148576000 3244581760 3435676160 3534276560 3548761300 3857005600 4055727200 4294595200 4329488786 4408006400 4417845700 4435951625 4542414464 4635116800 4821257000 4947987184 5058368000 5069659000 5368244000 5510008000 5522307125 5654842496 5678018080 5793896000 6135136000 6171208960 6184983980 6297152000 6489163520 7068553120 7097522600 7714011200 7731229975 8111454400 8589190400 8658977572 8816012800 8835691400 8871903250 9084828928 9270233600 9642514000 9895974368 10139318000 10736488000 10823721965 11020016000 11044614250 11309684992 11356036160 11587792000 12270272000 12342417920 12369967960 12978327040 14137106240 14195045200 15428022400 15462459950 16222908800 17178380800 17317955144 17671382800 17743806500 18169657856 19285028000 19791948736 20278636000 21472976000 21647443930 22040032000 22089228500 22619369984 22712072320 23175584000 24739935920 28274212480 28390090400 30856044800 30924919900 32445817600 34635910288 35342765600 35487613000 38570056000 38656149875 39583897472 40557272000 42945952000 43294887860 44080064000 44178457000 45424144640 46351168000 49479871840 54118609825 56548424960 56780180800 61712089600 61849839800 64891635200 69271820576 70685531200 70975226000 77140112000 77312299750 79167794944 81114544000 85891904000 86589775720 88356914000 90848289280 98959743680 108237219650 113096849920 113560361600 123699679600 138543641152 141371062400 141950452000 154280224000 154624599500 158335589888 162229088000 173179551440 176713828000 197919487360 216474439300 227120723200 247399359200 270593049125 277087282304 282742124800 283900904000 308560448000 309249199000 324458176000 346359102880 353427656000 395838974720 432948878600 454241446400 494798718400 541186098250 554174564608 565484249600 567801808000 618498398000 692718205760 706855312000 791677949440 865897757200 989597436800 1082372196500 1108349129216 1135603616000 1236996796000 1385436411520 1413710624000 1731795514400 1979194873600 2164744393000 2271207232000 2473993592000 2770872823040 2827421248000 3463591028800 3958389747200 4329488786000 4947987184000 5541745646080 6927182057600 8658977572000 9895974368000 13854364115200 17317955144000 19791948736000 27708728230400 34635910288000 69271820576000 138543641152000
- Sum of all divisors σ(n): 409621573389600
- Sum of proper divisors (its aliquot sum) s(n): 271077932237600
- 138543641152000 is an abundant number, because the sum of its proper divisors (271077932237600) is greater than itself. Its abundance is 132534291085600
Bases of 138543641152000
- Binary: 111111000000001001101001000010001001010000000002
- Hexadecimal: 0x7E0134844A00
- Base-36: 1D3Y2IUN0G
Squares and roots of 138543641152000
- 138543641152000 squared (1385436411520002) is 19194340503654147887104000000
- 138543641152000 cubed (1385436411520003) is 2659253822887559209587275584503808000000000
-
The
square root of 138543641152000 is 11770456.2847835257 -
The
cube root of 138543641152000 is 51744.2622282645
Scales and comparisons
How big is 138543641152000?- 138,543,641,152,000 seconds is equal to 4,405,259 years, 12 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,543,641,152,000 would take you about eleven million, thirteen thousand, one hundred forty-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 138543641152000 cubic inches would be around 4312 feet tall.
Recreational maths with 138543641152000
- 138543641152000 backwards is 000251146345831
- The number of decimal digits it has is: 15
- The sum of 138543641152000's digits is 43
- More coming soon!
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The information we have on file for 138543641152000 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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