138437741568000
138,437,741,568,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138437741568000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138437741568000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138437741568000:
213 × 3 × 53 × 74 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 137 × 137)See below for interesting mathematical facts about the number 138437741568000 from the Numbermatics database.
Names of 138437741568000
- Cardinal: 138437741568000 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, seven hundred forty-one million, five hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38437741568 × 1014
Factors of 138437741568000
Divisors of 138437741568000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 137 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 274 280 294 300 320 336 343 350 375 384 392 400 411 420 448 480 490 500 512 525 548 560 588 600 640 672 685 686 700 735 750 768 784 800 822 840 875 896 959 960 980 1000 1024 1029 1050 1096 1120 1176 1200 1225 1280 1344 1370 1372 1400 1470 1500 1536 1568 1600 1644 1680 1715 1750 1792 1918 1920 1960 2000 2048 2055 2058 2100 2192 2240 2352 2400 2401 2450 2560 2625 2688 2740 2744 2800 2877 2940 3000 3072 3136 3200 3288 3360 3425 3430 3500 3584 3675 3836 3840 3920 4000 4096 4110 4116 4200 4384 4480 4704 4795 4800 4802 4900 5120 5145 5250 5376 5480 5488 5600 5754 5880 6000 6125 6144 6272 6400 6576 6713 6720 6850 6860 7000 7168 7203 7350 7672 7680 7840 8000 8192 8220 8232 8400 8575 8768 8960 9408 9590 9600 9604 9800 10240 10275 10290 10500 10752 10960 10976 11200 11508 11760 12000 12005 12250 12288 12544 12800 13152 13426 13440 13700 13720 14000 14336 14385 14406 14700 15344 15360 15680 16000 16440 16464 16800 17125 17150 17536 17920 18375 18769 18816 19180 19200 19208 19600 20139 20480 20550 20580 21000 21504 21920 21952 22400 23016 23520 23975 24000 24010 24500 24576 25088 25600 25725 26304 26852 26880 27400 27440 28000 28672 28770 28812 29400 30688 30720 31360 32000 32880 32928 33565 33600 34250 34300 35072 35840 36015 36750 37538 37632 38360 38400 38416 39200 40278 40960 41100 41160 42000 42875 43008 43840 43904 44800 46032 46991 47040 47950 48000 48020 49000 50176 51200 51375 51450 52608 53704 53760 54800 54880 56000 56307 57344 57540 57624 58800 60025 61376 61440 62720 64000 65760 65856 67130 67200 68500 68600 70144 71680 71925 72030 73500 75076 75264 76720 76800 76832 78400 80556 82200 82320 84000 85750 86016 87680 87808 89600 92064 93845 93982 94080 95900 96000 96040 98000 100352 100695 102400 102750 102900 105216 107408 107520 109600 109760 112000 112614 115080 115248 117600 119875 120050 122752 122880 125440 128000 128625 131383 131520 131712 134260 134400 137000 137200 140288 140973 143360 143850 144060 147000 150152 150528 153440 153600 153664 156800 161112 164400 164640 167825 168000 171500 172032 175360 175616 179200 180075 184128 187690 187964 188160 191800 192000 192080 196000 200704 201390 204800 205500 205800 210432 214816 215040 219200 219520 224000 225228 230160 230496 234955 235200 239750 240100 245504 250880 256000 257250 262766 263040 263424 268520 268800 274000 274400 280576 281535 281946 286720 287700 288120 294000 300125 300304 301056 306880 307200 307328 313600 322224 328800 328937 329280 335650 336000 343000 350720 351232 358400 359625 360150 368256 375380 375928 376320 383600 384000 384160 392000 394149 401408 402780 411000 411600 420864 429632 430080 438400 439040 448000 450456 460320 460992 469225 469910 470400 479500 480200 491008 501760 503475 512000 514500 525532 526080 526848 537040 537600 548000 548800 561152 563070 563892 575400 576240 588000 600250 600608 602112 613760 614400 614656 627200 644448 656915 657600 657874 658560 671300 672000 686000 701440 702464 704865 716800 719250 720300 736512 750760 751856 752640 767200 768000 768320 784000 788298 805560 822000 823200 839125 841728 859264 860160 876800 878080 896000 900375 900912 919681 920640 921984 938450 939820 940800 959000 960400 982016 986811 1003520 1006950 1024000 1029000 1051064 1052160 1053696 1074080 1075200 1096000 1097600 1122304 1126140 1127784 1150800 1152480 1174775 1176000 1200500 1201216 1204224 1227520 1229312 1254400 1288896 1313830 1315200 1315748 1317120 1342600 1344000 1372000 1402880 1404928 1407675 1409730 1433600 1438500 1440600 1473024 1501520 1503712 1505280 1534400 1536000 1536640 1568000 1576596 1611120 1644000 1644685 1646400 1678250 1683456 1718528 1753600 1756160 1792000 1800750 1801824 1839362 1841280 1843968 1876900 1879640 1881600 1918000 1920800 1964032 1970745 1973622 2007040 2013900 2058000 2102128 2104320 2107392 2148160 2150400 2192000 2195200 2252280 2255568 2301600 2304960 2346125 2349550 2352000 2401000 2402432 2455040 2458624 2508800 2517375 2577792 2627660 2630400 2631496 2634240 2685200 2688000 2744000 2759043 2805760 2809856 2815350 2819460 2877000 2881200 2946048 3003040 3007424 3010560 3068800 3072000 3073280 3136000 3153192 3222240 3284575 3288000 3289370 3292800 3356500 3366912 3437056 3507200 3512320 3524325 3584000 3601500 3603648 3678724 3682560 3687936 3753800 3759280 3763200 3836000 3841600 3928064 3941490 3947244 4027800 4116000 4204256 4208640 4214784 4296320 4300800 4384000 4390400 4504560 4511136 4598405 4603200 4609920 4692250 4699100 4704000 4802000 4804864 4910080 4917248 4934055 5017600 5034750 5155584 5255320 5260800 5262992 5268480 5370400 5376000 5488000 5518086 5611520 5630700 5638920 5754000 5762400 5873875 5892096 6006080 6014848 6021120 6137600 6146560 6272000 6306384 6437767 6444480 6569150 6576000 6578740 6585600 6713000 6874112 7014400 7024640 7038375 7048650 7168000 7203000 7207296 7357448 7365120 7375872 7507600 7518560 7526400 7672000 7683200 7856128 7882980 7894488 8055600 8223425 8232000 8408512 8417280 8429568 8592640 8768000 8780800 9009120 9022272 9196810 9206400 9219840 9384500 9398200 9408000 9604000 9609728 9820160 9834496 9853725 9868110 10035200 10069500 10311168 10510640 10521600 10525984 10536960 10740800 10752000 10976000 11036172 11261400 11277840 11508000 11524800 11747750 11784192 12012160 12029696 12275200 12293120 12544000 12612768 12875534 12888960 13138300 13152000 13157480 13171200 13426000 13748224 13795215 14028800 14049280 14076750 14097300 14406000 14414592 14714896 14730240 14751744 15015200 15037120 15052800 15344000 15366400 15765960 15788976 16111200 16422875 16446850 16464000 16817024 16834560 17185280 17536000 17561600 17621625 18018240 18044544 18393620 18412800 18439680 18769000 18796400 18816000 19208000 19219456 19313301 19640320 19668992 19707450 19736220 20139000 20622336 21021280 21043200 21051968 21073920 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63063840 63155904 64377670 64444800 65691500 65787400 65856000 67268096 68741120 68976075 70144000 70246400 70486500 72072960 72178176 73574480 73651200 73758720 75076000 75185600 75264000 76832000 76877824 77253204 78829800 78944880 80556000 82234250 82489344 84085120 84172800 84207872 85926400 87808000 88289376 90091200 90128738 90222720 91968100 92064000 92198400 93982000 96097280 96237568 96566505 98201600 98344960 98537250 98681100 100902144 103004272 103111680 105106400 105216000 105259840 105369600 107408000 110361720 112614000 112778400 114960125 115248000 115316736 117719168 117841920 120121600 120296960 122752000 122931200 123351375 126127680 126311808 128755340 128889600 131383000 131574800 131712000 134536192 135193107 137482240 137952150 140288000 140973000 144145920 144356352 147148960 147302400 147517440 150152000 150371200 150528000 153664000 153755648 154506408 157659600 157889760 160944175 161112000 164468500 164978688 168170240 168415744 171852800 175616000 176578752 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1545064080 1576596000 1578897600 1609441750 1614434304 1648068352 1681702400 1684157440 1718528000 1765787520 1801824000 1802574760 1804454400 1839362000 1843968000 1883506688 1921945600 1924751360 1931330100 1973622000 2018042880 2020988928 2060085440 2062233600 2102128000 2105196800 2163089712 2207234400 2253218450 2255568000 2306334720 2354383360 2402432000 2405939200 2414162625 2458624000 2472102528 2522553600 2526236160 2575106800 2577792000 2631496000 2690723840 2694651904 2703862140 2759043000 2825260032 2882918400 2884119616 2887127040 2942979200 2946048000 3007424000 3090128160 3153192000 3157795200 3218883500 3228868608 3296136704 3363404800 3368314880 3379827675 3437056000 3531575040 3603648000 3605149520 3608908800 3678724000 3687936000 3767013376 3843891200 3862660200 3947244000 4036085760 4041977856 4120170880 4124467200 4204256000 4210393600 4326179424 4414468800 4506436900 4511136000 4708766720 4804864000 4811878400 4828325250 4944205056 5045107200 5052472320 5150213600 5155584000 5262992000 5381447680 5407724280 5518086000 5633046125 5650520064 5765836800 5768239232 5774254080 5885958400 6014848000 6180256320 6306384000 6315590400 6437767000 6592273408 6726809600 6736629760 6759655350 6874112000 7063150080 7207296000 7210299040 7217817600 7357448000 7375872000 7534026752 7725320400 7894488000 8072171520 8083955712 8240341760 8408512000 8420787200 8652358848 8828937600 9012873800 9022272000 9417533440 9609728000 9623756800 9656650500 9888410112 10090214400 10104944640 10300427200 10311168000 10525984000 10815448560 11036172000 11266092250 11301040128 11531673600 11536478464 11771916800 12029696000 12360512640 12612768000 12631180800 12875534000 13184546816 13453619200 13473259520 13519310700 14126300160 14414592000 14420598080 14435635200 14714896000 15450640800 15788976000 16144343040 16480683520 16817024000 16841574400 16899138375 17304717696 17657875200 18025747600 18044544000 18835066880 19219456000 19313301000 19776820224 20180428800 20209889280 20600854400 20622336000 21051968000 21630897120 22072344000 22532184500 22602080256 23072956928 23543833600 24059392000 24721025280 25225536000 25262361600 25751068000 26369093632 26907238400 27038621400 28252600320 28829184000 28841196160 28871270400 29429792000 30901281600 31577952000 32961367040 33634048000 33683148800 33798276750 34609435392 35315750400 36051495200 36089088000 37670133760 38626602000 39553640448 40360857600 40419778560 41201708800 42103936000 43261794240 44144688000 45064369000 46145913856 47087667200 48118784000 49442050560 50451072000 50524723200 51502136000 52738187264 54077242800 56505200640 57658368000 57682392320 58859584000 61802563200 63155904000 65922734080 67268096000 67366297600 67596553500 69218870784 70631500800 72102990400 72178176000 77253204000 79107280896 80721715200 82403417600 84207872000 86523588480 88289376000 90128738000 92291827712 94175334400 98884101120 100902144000 101049446400 103004272000 108154485600 113010401280 115364784640 117719168000 123605126400 126311808000 131845468160 134536192000 135193107000 138437741568 141263001600 144205980800 144356352000 154506408000 158214561792 164806835200 168415744000 173047176960 176578752000 180257476000 184583655424 188350668800 197768202240 201804288000 202098892800 206008544000 216308971200 230729569280 235438336000 247210252800 252623616000 263690936320 270386214000 276875483136 282526003200 288411961600 309012816000 329613670400 336831488000 346094353920 353157504000 360514952000 369167310848 395536404480 403608576000 412017088000 432617942400 461459138560 470876672000 494420505600 505247232000 540772428000 553750966272 565052006400 576823923200 618025632000 659227340800 692188707840 706315008000 721029904000 791072808960 824034176000 865235884800 922918277120 941753344000 988841011200 1010494464000 1081544856000 1107501932544 1153647846400 1236051264000 1318454681600 1384377415680 1412630016000 1442059808000 1648068352000 1730471769600 1845836554240 1977682022400 2163089712000 2307295692800 2472102528000 2768754831360 2825260032000 2884119616000 3296136704000 3460943539200 3955364044800 4326179424000 4614591385600 4944205056000 5537509662720 5768239232000 6592273408000 6921887078400 8652358848000 9229182771200 9888410112000 11536478464000 13843774156800 17304717696000 19776820224000 23072956928000 27687548313600 34609435392000 46145913856000 69218870784000 138437741568000
- Sum of all divisors σ(n): 541394393392944
- Sum of proper divisors (its aliquot sum) s(n): 402956651824944
- 138437741568000 is an abundant number, because the sum of its proper divisors (402956651824944) is greater than itself. Its abundance is 264518910256944
Bases of 138437741568000
- Binary: 111110111101000100011000110100011100000000000002
- Hexadecimal: 0x7DE88C68E000
- Base-36: 1D2LF4Z11C
Squares and roots of 138437741568000
- 138437741568000 squared (1384377415680002) is 19165008290448355098624000000
- 138437741568000 cubed (1384377415680003) is 2653160464861666865994004464402432000000000
-
The
square root of 138437741568000 is 11765956.8913029763 -
The
cube root of 138437741568000 is 51731.0748249389
Scales and comparisons
How big is 138437741568000?- 138,437,741,568,000 seconds is equal to 4,401,891 years, 50 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,437,741,568,000 would take you about eleven million, four thousand, seven hundred twenty-nine 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 138437741568000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437741568000
- 138437741568000 backwards is 000865147734831
- The number of decimal digits it has is: 15
- The sum of 138437741568000's digits is 57
- More coming soon!
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Numbermatics. (2024). Number 138437741568000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/138437741568000/
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The information we have on file for 138437741568000 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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