138542403584000
138,542,403,584,000 is an even composite number composed of six prime numbers multiplied together.
138542403584000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138542403584000:
215 × 53 × 132 × 17 × 61 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 61 × 193)See below for interesting mathematical facts about the number 138542403584000 from the Numbermatics database.
Names of 138542403584000
- Cardinal: 138542403584000 can be written as One hundred thirty-eight trillion, five hundred forty-two billion, four hundred three million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38542403584 × 1014
Factors of 138542403584000
Divisors of 138542403584000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 64 65 68 80 85 100 104 122 125 128 130 136 160 169 170 193 200 208 221 244 250 256 260 272 305 320 325 338 340 386 400 416 425 442 488 500 512 520 544 610 640 650 676 680 772 793 800 832 845 850 884 965 976 1000 1024 1037 1040 1088 1105 1220 1280 1300 1352 1360 1525 1544 1586 1600 1625 1664 1690 1700 1768 1930 1952 2000 2048 2074 2080 2125 2176 2210 2440 2509 2560 2600 2704 2720 2873 3050 3088 3172 3200 3250 3281 3328 3380 3400 3536 3860 3904 3965 4000 4096 4148 4160 4225 4250 4352 4420 4825 4880 5018 5120 5185 5200 5408 5440 5525 5746 6100 6176 6344 6400 6500 6562 6656 6760 6800 7072 7625 7720 7808 7930 8000 8192 8296 8320 8450 8500 8704 8840 9650 9760 10036 10240 10309 10370 10400 10816 10880 11050 11492 11773 12200 12352 12545 12688 12800 13000 13124 13312 13481 13520 13600 14144 14365 15250 15440 15616 15860 16000 16384 16405 16592 16640 16900 17000 17408 17680 19300 19520 19825 20072 20480 20618 20740 20800 21125 21632 21760 22100 22984 23546 24125 24400 24704 25090 25376 25600 25925 26000 26248 26624 26962 27040 27200 27625 28288 28730 30500 30880 31232 31720 32000 32617 32768 32810 33184 33280 33800 34000 34816 35360 38600 39040 39650 40144 40960 41236 41480 41600 42250 42653 43264 43520 44200 45968 47092 48250 48800 49408 50180 50752 51200 51545 51850 52000 52496 53248 53924 54080 54400 55250 56576 57460 58865 61000 61760 62464 62725 63440 64000 65234 65620 66368 66560 67405 67600 68000 69632 70720 71825 77200 78080 79300 80288 81920 82025 82472 82960 83200 84500 85306 86528 87040 88400 91936 94184 96500 97600 98816 99125 100360 101504 102400 103090 103700 104000 104992 106496 107848 108160 108800 110500 113152 114920 117730 122000 123520 124928 125450 126880 128000 129625 130468 131240 132736 133120 134810 135200 136000 139264 141440 143650 153049 154400 156160 158600 160576 163085 163840 164050 164944 165920 166400 169000 170612 173056 174080 175253 176800 183872 188368 193000 195200 197632 198250 200141 200720 203008 204800 206180 207400 208000 209984 212992 213265 215696 216320 217600 221000 226304 229840 235460 244000 247040 249856 250900 253760 256000 257725 259250 260936 262480 265472 266240 269620 270400 272000 278528 282880 287300 294325 306098 308800 312320 313625 317200 321152 326170 328100 329888 331840 332800 337025 338000 341224 346112 348160 350506 353600 359125 367744 376736 386000 390400 395264 396500 400282 401440 406016 409600 410125 412360 414800 416000 419968 425984 426530 431392 432640 435200 442000 452608 459680 470920 488000 494080 499712 501800 507520 512000 515450 518500 521872 524960 530944 532480 539240 540800 544000 554489 557056 565760 574600 588650 612196 617600 624640 627250 634400 642304 652340 656200 659776 663680 665600 674050 676000 682448 692224 696320 701012 707200 718250 735488 753472 765245 772000 780800 790528 793000 800564 802880 812032 815425 819200 820250 824720 829600 832000 839936 853060 862784 865280 870400 876265 884000 905216 919360 941840 976000 988160 999424 1000705 1003600 1015040 1024000 1030900 1037000 1043744 1049920 1061888 1064960 1066325 1078480 1081600 1088000 1108978 1131520 1149200 1177300 1224392 1235200 1249280 1254500 1268800 1284608 1288625 1304680 1312400 1319552 1327360 1331200 1348100 1352000 1364896 1384448 1392640 1402024 1414400 1436500 1470976 1471625 1506944 1530490 1544000 1561600 1581056 1586000 1601128 1605760 1624064 1630850 1640500 1649440 1659200 1664000 1679872 1685125 1706120 1725568 1730560 1740800 1752530 1768000 1810432 1838720 1883680 1952000 1976320 1989637 1998848 2001410 2007200 2030080 2048000 2061800 2074000 2087488 2099840 2123776 2129920 2132650 2156960 2163200 2176000 2217956 2263040 2298400 2354600 2448784 2470400 2498560 2509000 2537600 2569216 2577250 2601833 2609360 2624800 2639104 2654720 2662400 2696200 2704000 2729792 2768896 2772445 2785280 2804048 2828800 2873000 2941952 2943250 3013888 3060980 3088000 3123200 3162112 3172000 3202256 3211520 3248128 3261700 3281000 3298880 3318400 3328000 3359744 3370250 3412240 3451136 3461120 3481600 3505060 3536000 3620864 3677440 3767360 3826225 3904000 3952640 3979274 4002820 4014400 4060160 4077125 4096000 4123600 4148000 4174976 4199680 4247552 4265300 4313920 4326400 4352000 4381325 4435912 4526080 4596800 4709200 4897568 4940800 4997120 5003525 5018000 5075200 5138432 5154500 5203666 5218720 5249600 5278208 5309440 5324800 5331625 5392400 5408000 5459584 5537792 5544890 5608096 5657600 5746000 5883904 5886500 6027776 6121960 6176000 6246400 6324224 6344000 6404512 6423040 6496256 6523400 6562000 6597760 6636800 6656000 6719488 6740500 6824480 6902272 6922240 6963200 7010120 7072000 7241728 7354880 7534720 7652450 7808000 7905280 7958548 8005640 8028800 8120320 8154250 8247200 8296000 8349952 8399360 8495104 8530600 8627840 8652800 8704000 8762650 8871824 9052160 9193600 9418400 9795136 9881600 9948185 9994240 10007050 10036000 10150400 10276864 10309000 10407332 10437440 10499200 10556416 10618880 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31834192 32022560 32115200 32481280 32617000 32988800 33184000 33399808 33597440 33823829 33980416 34122400 34511360 34611200 34816000 35050600 35487296 36208640 36774400 37673600 38262250 39180544 39526400 39792740 40028200 40144000 40601600 41107456 41236000 41629328 41749760 41996800 42225664 42475520 42653000 43139200 43264000 43676672 43813250 44359120 44864768 45260800 45968000 47071232 47092000 48222208 48975680 49408000 49740925 49971200 50035250 50752000 51236096 51384320 52036660 52187200 52496000 52782080 53094400 53248000 53755904 53924000 54595840 55218176 55448900 56080960 56576000 58839040 60277760 61219600 62464000 63668384 64045120 64230400 64962560 65045825 65234000 65977600 66368000 66799616 67194880 67647658 68244800 69022720 69222400 69311125 69632000 70101200 70974592 73548800 75347200 76524500 78361088 79052800 79585480 80056400 80288000 81203200 82214912 82472000 83258656 83499520 83993600 84451328 84951040 85306000 86278400 86528000 87353344 87626500 88718240 89729536 90521600 91936000 94142464 94184000 96444416 97951360 98816000 99481850 100070500 101504000 102472192 102768640 104073320 104374400 104992000 105564160 106188800 107511808 107848000 109191680 110436352 110897800 112161920 113152000 117678080 120555520 122439200 124928000 127336768 128090240 128460800 129925120 130091650 130468000 131955200 132736000 133599232 134389760 135295316 136489600 138045440 138444800 138622250 140202400 141949184 147097600 150694400 153049000 156722176 158105600 159170960 160112800 160576000 162406400 164944000 166517312 166999040 167987200 168902656 169119145 169902080 170612000 172556800 173056000 174706688 175253000 177436480 179459072 181043200 183872000 188368000 192888832 195902720 197632000 198963700 200141000 203008000 204944384 205537280 208146640 208748800 209984000 211128320 212377600 215696000 218383360 220872704 221795600 224323840 226304000 235356160 241111040 244878400 248704625 249856000 254673536 256180480 256921600 260183300 260936000 263910400 265472000 267198464 268779520 270590632 272979200 276090880 277244500 280404800 283898368 294195200 301388800 306098000 313444352 318341920 320225600 321152000 324812800 325229125 329888000 333034624 333998080 335974400 337805312 338238290 341224000 345113600 346112000 349413376 350506000 354872960 358918144 367744000 376736000 385777664 391805440 395264000 397927400 400282000 406016000 409888768 411074560 416293280 417497600 419968000 422256640 424755200 431392000 436766720 441745408 443591200 448647680 452608000 470712320 482222080 489756800 497409250 509347072 512360960 513843200 520366600 521872000 527820800 530944000 534396928 537559040 541181264 545958400 552181760 554489000 560809600 567796736 588390400 602777600 612196000 626888704 636683840 640451200 642304000 649625600 650458250 659776000 666069248 667996160 671948800 676476580 682448000 690227200 692224000 698826752 701012000 709745920 717836288 735488000 753472000 783610880 790528000 795854800 800564000 812032000 819777536 832586560 834995200 839936000 844513280 845595725 849510400 862784000 873533440 887182400 897295360 905216000 964444160 979513600 994818500 1018694144 1024721920 1027686400 1040733200 1043744000 1055641600 1061888000 1068793856 1082362528 1091916800 1104363520 1108978000 1121619200 1135593472 1176780800 1205555200 1224392000 1253777408 1273367680 1280902400 1284608000 1300916500 1319552000 1332138496 1335992320 1343897600 1352953160 1364896000 1380454400 1397653504 1402024000 1419491840 1435672576 1470976000 1506944000 1567221760 1591709600 1601128000 1624064000 1639555072 1665173120 1669990400 1679872000 1689026560 1691191450 1725568000 1747066880 1774364800 1794590720 1928888320 1959027200 1989637000 2037388288 2049443840 2055372800 2081466400 2087488000 2111283200 2123776000 2164725056 2183833600 2208727040 2217956000 2243238400 2271186944 2353561600 2411110400 2448784000 2507554816 2546735360 2561804800 2569216000 2601833000 2639104000 2664276992 2671984640 2687795200 2705906320 2729792000 2760908800 2804048000 2838983680 2871345152 2941952000 3013888000 3134443520 3183419200 3202256000 3248128000 3279110144 3330346240 3339980800 3359744000 3382382900 3451136000 3494133760 3548729600 3589181440 3918054400 3979274000 4074776576 4098887680 4162932800 4174976000 4222566400 4227978625 4247552000 4329450112 4367667200 4435912000 4486476800 4542373888 4822220800 4897568000 5015109632 5093470720 5123609600 5138432000 5203666000 5278208000 5328553984 5343969280 5411812640 5459584000 5521817600 5608096000 5677967360 5742690304 5883904000 6027776000 6268887040 6366838400 6404512000 6558220288 6660692480 6679961600 6719488000 6764765800 6902272000 6988267520 7097459200 7178362880 7836108800 7958548000 8149553152 8197775360 8325865600 8349952000 8445132800 8455957250 8658900224 8735334400 8871824000 8972953600 9084747776 9644441600 9795136000 10186941440 10247219200 10276864000 10407332000 10556416000 10657107968 10823625280 10919168000 11043635200 11216192000 11355934720 11767808000 12055552000 12537774080 12733676800 12809024000 13321384960 13359923200 13438976000 13529531600 13804544000 14194918400 14356725760 15672217600 15917096000 16299106304 16395550720 16651731200 16699904000 16911914500 17317800448 17470668800 17743648000 17945907200 18169495552 19590272000 20373882880 20494438400 20814664000 21112832000 21314215936 21647250560 21838336000 22432384000 22711869440 24111104000 25075548160 25467353600 25618048000 26642769920 26719846400 27059063200 27609088000 28389836800 28713451520 31344435200 31834192000 32598212608 32791101440 33303462400 33399808000 33823829000 34635600896 34941337600 35487296000 35891814400 39180544000 40747765760 40988876800 41629328000 42225664000 42628431872 43294501120 43676672000 44864768000 45423738880 48222208000 50934707200 51236096000 53285539840 54118126400 55218176000 56779673600 62688870400 63668384000 65196425216 66606924800 66799616000 67647658000 69271201792 70974592000 71783628800 78361088000 81495531520 81977753600 83258656000 85256863744 86589002240 87353344000 89729536000 90847477760 101869414400 102472192000 106571079680 108236252800 113559347200 125377740800 127336768000 133213849600 133599232000 135295316000 138542403584 141949184000 143567257600 156722176000 162991063040 163955507200 166517312000 173178004480 174706688000 179459072000 203738828800 204944384000 213142159360 216472505600 227118694400 254673536000 266427699200 270590632000 277084807168 283898368000 313444352000 325982126080 333034624000 346356008960 358918144000 407477657600 409888768000 426284318720 432945011200 454237388800 509347072000 532855398400 541181264000 554169614336 567796736000 626888704000 666069248000 692712017920 717836288000 814955315200 819777536000 865890022400 1018694144000 1065710796800 1082362528000 1108339228672 1135593472000 1332138496000 1385424035840 1629910630400 1731780044800 2037388288000 2131421593600 2164725056000 2271186944000 2664276992000 2770848071680 3463560089600 4074776576000 4329450112000 5328553984000 5541696143360 6927120179200 8149553152000 8658900224000 10657107968000 13854240358400 17317800448000 27708480716800 34635600896000 69271201792000 138542403584000
- Sum of all divisors σ(n): 405055857042720
- Sum of proper divisors (its aliquot sum) s(n): 266513453458720
- 138542403584000 is an abundant number, because the sum of its proper divisors (266513453458720) is greater than itself. Its abundance is 127971049874720
Bases of 138542403584000
- Binary: 111111000000000111010101100000010000000000000002
- Hexadecimal: 0x7E00EAC08000
- Base-36: 1D3XI219FK
Squares and roots of 138542403584000
- 138542403584000 squared (1385424035840002) is 19193997590831936045056000000
- 138542403584000 cubed (1385424035840003) is 2659182560619361781870225159880704000000000
-
The
square root of 138542403584000 is 11770403.7137219725 -
The
cube root of 138542403584000 is 51744.1081559129
Scales and comparisons
How big is 138542403584000?- 138,542,403,584,000 seconds is equal to 4,405,219 years, 46 weeks, 3 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,542,403,584,000 would take you about eleven million, thirteen thousand and forty-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 138542403584000 cubic inches would be around 4312 feet tall.
Recreational maths with 138542403584000
- 138542403584000 backwards is 000485304245831
- The number of decimal digits it has is: 15
- The sum of 138542403584000's digits is 47
- More coming soon!
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The information we have on file for 138542403584000 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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