138302517248000
138,302,517,248,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138302517248000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1024 divisors.
138302517248000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138302517248000:
215 × 53 × 77 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 41)See below for interesting mathematical facts about the number 138302517248000 from the Numbermatics database.
Names of 138302517248000
- Cardinal: 138302517248000 can be written as One hundred thirty-eight trillion, three hundred two billion, five hundred seventeen million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38302517248 × 1014
Factors of 138302517248000
Divisors of 138302517248000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 128 140 160 164 175 196 200 205 224 245 250 256 280 287 320 328 343 350 392 400 410 448 490 500 512 560 574 640 656 686 700 784 800 820 875 896 980 1000 1024 1025 1120 1148 1225 1280 1312 1372 1400 1435 1568 1600 1640 1715 1750 1792 1960 2000 2009 2048 2050 2240 2296 2401 2450 2560 2624 2744 2800 2870 3136 3200 3280 3430 3500 3584 3920 4000 4018 4096 4100 4480 4592 4802 4900 5120 5125 5248 5488 5600 5740 6125 6272 6400 6560 6860 7000 7168 7175 7840 8000 8036 8192 8200 8575 8960 9184 9604 9800 10045 10240 10250 10496 10976 11200 11480 12005 12250 12544 12800 13120 13720 14000 14063 14336 14350 15680 16000 16072 16384 16400 16807 17150 17920 18368 19208 19600 20090 20480 20500 20992 21952 22400 22960 24010 24500 25088 25600 26240 27440 28000 28126 28672 28700 31360 32000 32144 32768 32800 33614 34300 35840 35875 36736 38416 39200 40180 40960 41000 41984 42875 43904 44800 45920 48020 49000 50176 50225 51200 52480 54880 56000 56252 57344 57400 60025 62720 64000 64288 65600 67228 68600 70315 71680 71750 73472 76832 78400 80360 81920 82000 83968 84035 85750 87808 89600 91840 96040 98000 98441 100352 100450 102400 104960 109760 112000 112504 114688 114800 117649 120050 125440 128000 128576 131200 134456 137200 140630 143360 143500 146944 153664 156800 160720 163840 164000 167936 168070 171500 175616 179200 183680 192080 196000 196882 200704 200900 204800 209920 219520 224000 225008 229376 229600 235298 240100 250880 251125 256000 257152 262400 268912 274400 281260 286720 287000 293888 300125 307328 313600 321440 328000 335872 336140 343000 351232 351575 358400 367360 384160 392000 393764 401408 401800 409600 419840 420175 439040 448000 450016 459200 470596 480200 492205 501760 502250 512000 514304 524800 537824 548800 562520 573440 574000 587776 588245 600250 614656 627200 642880 656000 671744 672280 686000 689087 702464 703150 716800 734720 768320 784000 787528 802816 803600 819200 823543 839680 840350 878080 896000 900032 918400 941192 960400 984410 1003520 1004500 1024000 1028608 1049600 1075648 1097600 1125040 1146880 1148000 1175552 1176490 1200500 1229312 1254400 1285760 1312000 1343488 1344560 1372000 1378174 1404928 1406300 1433600 1469440 1536640 1568000 1575056 1605632 1607200 1647086 1679360 1680700 1756160 1757875 1792000 1800064 1836800 1882384 1920800 1968820 2007040 2009000 2048000 2057216 2099200 2100875 2151296 2195200 2250080 2296000 2351104 2352980 2401000 2458624 2461025 2508800 2571520 2624000 2689120 2744000 2756348 2809856 2812600 2867200 2938880 2941225 3073280 3136000 3150112 3214400 3294172 3358720 3361400 3445435 3512320 3515750 3584000 3600128 3673600 3764768 3841600 3937640 4014080 4018000 4096000 4114432 4117715 4198400 4201750 4302592 4390400 4500160 4592000 4702208 4705960 4802000 4823609 4917248 4922050 5017600 5143040 5248000 5378240 5488000 5512696 5619712 5625200 5734400 5877760 5882450 6146560 6272000 6300224 6428800 6588344 6717440 6722800 6890870 7024640 7031500 7168000 7200256 7347200 7529536 7683200 7875280 8028160 8036000 8228864 8235430 8396800 8403500 8605184 8780800 9000320 9184000 9404416 9411920 9604000 9647218 9834496 9844100 10035200 10286080 10496000 10756480 10976000 11025392 11239424 11250400 11755520 11764900 12293120 12305125 12544000 12600448 12857600 13176688 13445600 13781740 14049280 14063000 14336000 14400512 14694400 14706125 15059072 15366400 15750560 16072000 16457728 16470860 16793600 16807000 17210368 17227175 17561600 18000640 18368000 18823840 19208000 19294436 19668992 19688200 20070400 20572160 20588575 20992000 21512960 21952000 22050784 22500800 23511040 23529800 24118045 24586240 24610250 25088000 25200896 25715200 26353376 26891200 27563480 28098560 28126000 28672000 28801024 29388800 29412250 30118144 30732800 31501120 32144000 32915456 32941720 33587200 33614000 33765263 34420736 34454350 35123200 36001280 36736000 37647680 38416000 38588872 39337984 39376400 40140800 41144320 41177150 41984000 43025920 43904000 44101568 45001600 47022080 47059600 48236090 49172480 49220500 50176000 50401792 51430400 52706752 53782400 55126960 56197120 56252000 57602048 58777600 58824500 60236288 61465600 63002240 64288000 65830912 65883440 67228000 67530526 68841472 68908700 70246400 72002560 73472000 75295360 76832000 77177744 78675968 78752800 82288640 82354300 83968000 86051840 86135875 87808000 88203136 90003200 94119200 96472180 98344960 98441000 100352000 100803584 102860800 102942875 105413504 107564800 110253920 112504000 115204096 117555200 117649000 120472576 120590225 122931200 126004480 128576000 131766880 134456000 135061052 137682944 137817400 140492800 144005120 146944000 150590720 153664000 154355488 157505600 164577280 164708600 167936000 168826315 172103680 172271750 175616000 176406272 180006400 188238400 192944360 196689920 196882000 200704000 201607168 205721600 205885750 210827008 215129600 220507840 225008000 230408192 235110400 235298000 240945152 241180450 245862400 252008960 257152000 263533760 268912000 270122104 275365888 275634800 280985600 288010240 293888000 301181440 307328000 308710976 315011200 329154560 329417200 337652630 344207360 344543500 351232000 352812544 360012800 376476800 385888720 393379840 393764000 403214336 411443200 411771500 421654016 430259200 441015680 450016000 460816384 470596000 481890304 482360900 491724800 504017920 514304000 527067520 537824000 540244208 550731776 551269600 576020480 587776000 602362880 602951125 614656000 617421952 630022400 658834400 675305260 688414720 689087000 702464000 705625088 720025600 752953600 771777440 787528000 806428672 822886400 823543000 843308032 844131575 860518400 882031360 900032000 941192000 963780608 964721800 983449600 1008035840 1028608000 1054135040 1075648000 1080488416 1102539200 1152040960 1175552000 1204725760 1205902250 1229312000 1234843904 1260044800 1317668800 1350610520 1376829440 1378174000 1404928000 1411250176 1440051200 1505907200 1543554880 1575056000 1612857344 1645772800 1647086000 1686616064 1688263150 1721036800 1764062720 1800064000 1882384000 1927561216 1929443600 1966899200 2016071680 2057216000 2108270080 2151296000 2160976832 2205078400 2304081920 2409451520 2411804500 2458624000 2469687808 2520089600 2635337600 2701221040 2753658880 2756348000 2822500352 2880102400 3011814400 3087109760 3150112000 3225714688 3294172000 3373232128 3376526300 3442073600 3528125440 3600128000 3764768000 3855122432 3858887200 4032143360 4114432000 4216540160 4220657875 4302592000 4321953664 4410156800 4818903040 4823609000 4917248000 4939375616 5040179200 5270675200 5402442080 5512696000 5645000704 5760204800 6023628800 6174219520 6300224000 6588344000 6746464256 6753052600 6884147200 7056250880 7200256000 7529536000 7717774400 8064286720 8228864000 8433080320 8441315750 8605184000 8643907328 8820313600 9637806080 9647218000 9834496000 9878751232 10080358400 10541350400 10804884160 11025392000 11290001408 11520409600 12047257600 12348439040 12600448000 13176688000 13492928512 13506105200 13768294400 14112501760 14400512000 15059072000 15435548800 16128573440 16866160640 16882631500 17210368000 17287814656 17640627200 19275612160 19294436000 19757502464 20160716800 21082700800 21609768320 22050784000 22580002816 24094515200 24696878080 25200896000 26353376000 26985857024 27012210400 28225003520 28801024000 30118144000 30871097600 33732321280 33765263000 34420736000 34575629312 35281254400 38588872000 39515004928 40321433600 42165401600 43219536640 44101568000 48189030400 49393756160 50401792000 52706752000 54024420800 56450007040 57602048000 60236288000 61742195200 67464642560 67530526000 68841472000 69151258624 70562508800 77177744000 79030009856 80642867200 84330803200 86439073280 88203136000 96378060800 98787512320 100803584000 105413504000 108048841600 112900014080 120472576000 123484390400 134929285120 135061052000 138302517248 141125017600 154355488000 158060019712 168661606400 172878146560 176406272000 197575024640 201607168000 210827008000 216097683200 240945152000 246968780800 270122104000 276605034496 282250035200 308710976000 337323212800 345756293120 352812544000 395150049280 403214336000 421654016000 432195366400 481890304000 493937561600 540244208000 553210068992 564500070400 617421952000 674646425600 691512586240 705625088000 790300098560 843308032000 864390732800 987875123200 1080488416000 1106420137984 1234843904000 1383025172480 1411250176000 1686616064000 1728781465600 1975750246400 2160976832000 2469687808000 2766050344960 2822500352000 3373232128000 3457562931200 3951500492800 4321953664000 4939375616000 5532100689920 6915125862400 8643907328000 9878751232000 13830251724800 17287814656000 19757502464000 27660503449600 34575629312000 69151258624000 138302517248000
- Sum of all divisors σ(n): 412553415456000
- Sum of proper divisors (its aliquot sum) s(n): 274250898208000
- 138302517248000 is an abundant number, because the sum of its proper divisors (274250898208000) is greater than itself. Its abundance is 135948380960000
Bases of 138302517248000
- Binary: 111110111001001000100000110100110000000000000002
- Hexadecimal: 0x7DC910698000
- Base-36: 1D0VARWJY8
Squares and roots of 138302517248000
- 138302517248000 squared (1383025172480002) is 19127586277133337493504000000
- 138302517248000 cubed (1383025172480003) is 2645393331005841516691142047956992000000000
-
The
square root of 138302517248000 is 11760209.0648083293 -
The
cube root of 138302517248000 is 51714.2259073553
Scales and comparisons
How big is 138302517248000?- 138,302,517,248,000 seconds is equal to 4,397,592 years, 13 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,302,517,248,000 would take you about ten million, nine hundred ninety-three thousand, nine hundred eighty 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 138302517248000 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138302517248000
- 138302517248000 backwards is 000842715203831
- The number of decimal digits it has is: 15
- The sum of 138302517248000's digits is 44
- More coming soon!
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The information we have on file for 138302517248000 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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