138698938368000
138,698,938,368,000 is an even composite number composed of six prime numbers multiplied together.
138698938368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138698938368000:
214 × 32 × 53 × 61 × 281 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 61 × 281 × 439)See below for interesting mathematical facts about the number 138698938368000 from the Numbermatics database.
Names of 138698938368000
- Cardinal: 138698938368000 can be written as One hundred thirty-eight trillion, six hundred ninety-eight billion, nine hundred thirty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38698938368 × 1014
Factors of 138698938368000
Divisors of 138698938368000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 61 64 72 75 80 90 96 100 120 122 125 128 144 150 160 180 183 192 200 225 240 244 250 256 281 288 300 305 320 360 366 375 384 400 439 450 480 488 500 512 549 562 576 600 610 640 720 732 750 768 800 843 878 900 915 960 976 1000 1024 1098 1124 1125 1152 1200 1220 1280 1317 1405 1440 1464 1500 1525 1536 1600 1686 1756 1800 1830 1920 1952 2000 2048 2195 2196 2248 2250 2304 2400 2440 2529 2560 2634 2745 2810 2880 2928 3000 3050 3072 3200 3372 3512 3600 3660 3840 3904 3951 4000 4096 4215 4390 4392 4496 4500 4575 4608 4800 4880 5058 5120 5268 5490 5620 5760 5856 6000 6100 6144 6400 6585 6744 7024 7025 7200 7320 7625 7680 7808 7902 8000 8192 8430 8780 8784 8992 9000 9150 9216 9600 9760 10116 10240 10536 10975 10980 11240 11520 11712 12000 12200 12288 12645 12800 13170 13488 13725 14048 14050 14400 14640 15250 15360 15616 15804 16000 16384 16860 17141 17560 17568 17984 18000 18300 18432 19200 19520 19755 20232 20480 21072 21075 21950 21960 22480 22875 23040 23424 24000 24400 24576 25290 25600 26340 26779 26976 27450 28096 28100 28800 29280 30500 30720 31232 31608 32000 32925 33720 34282 35120 35125 35136 35968 36000 36600 36864 38400 39040 39510 40464 40960 42144 42150 43900 43920 44960 45750 46080 46848 48000 48800 49152 50580 51200 51423 52680 53558 53952 54875 54900 56192 56200 57600 58560 61000 61440 62464 63216 63225 64000 65850 67440 68564 68625 70240 70250 70272 71936 72000 73200 73728 76800 78080 79020 80337 80928 81920 84288 84300 85705 87800 87840 89920 91500 92160 93696 96000 97600 98775 101160 102400 102846 105360 105375 107116 107904 109750 109800 112384 112400 115200 117120 122000 122880 123359 124928 126432 126450 128000 131700 133895 134880 137128 137250 140480 140500 140544 143872 144000 146400 147456 153600 154269 156160 158040 160674 161856 164625 168576 168600 171410 175600 175680 179840 183000 184320 187392 192000 195200 197550 202320 204800 205692 210720 210750 214232 215808 219500 219600 224768 224800 230400 234240 241011 244000 245760 246718 249856 252864 252900 256000 257115 263400 267790 269760 274256 274500 280960 281000 281088 287744 288000 292800 307200 308538 312320 316080 316125 321348 323712 329250 337152 337200 342820 351200 351360 359680 366000 368640 370077 374784 384000 390400 395100 401685 404640 409600 411384 421440 421500 428464 428525 431616 439000 439200 449536 449600 460800 468480 482022 488000 493436 493875 499712 505728 505800 512000 514230 526800 535580 539520 548512 549000 561920 562000 562176 575488 576000 585600 614400 616795 617076 624640 632160 632250 642696 647424 658500 669475 674304 674400 685640 702400 702720 719360 732000 737280 740154 749568 768000 771345 780800 790200 803370 809280 822768 842880 843000 856928 857050 863232 878000 878400 899072 899200 921600 936960 964044 976000 986872 987750 999424 1011456 1011600 1024000 1028460 1053600 1071160 1079040 1097024 1098000 1110231 1123840 1124000 1124352 1150976 1152000 1171200 1205055 1228800 1233590 1234152 1249280 1264320 1264500 1285392 1285575 1294848 1317000 1338950 1348608 1348800 1371280 1404800 1405440 1438720 1464000 1480308 1499136 1536000 1542690 1561600 1580400 1606740 1618560 1645536 1685760 1686000 1713856 1714100 1726464 1756000 1756800 1798144 1798400 1843200 1850385 1873920 1928088 1952000 1973744 1975500 2008425 2022912 2023200 2048000 2056920 2107200 2142320 2142625 2158080 2194048 2196000 2220462 2247680 2248000 2248704 2301952 2304000 2342400 2410110 2467180 2468304 2498560 2528640 2529000 2570784 2571150 2589696 2634000 2677900 2697216 2697600 2742560 2809600 2810880 2877440 2928000 2960616 2998272 3072000 3083975 3085380 3123200 3160800 3213480 3237120 3291072 3347375 3371520 3372000 3427712 3428200 3452928 3512000 3513600 3596288 3596800 3686400 3700770 3747840 3856176 3856725 3904000 3947488 3951000 4016850 4045824 4046400 4113840 4214400 4284640 4285250 4316160 4388096 4392000 4440924 4495360 4496000 4497408 4603904 4608000 4684800 4820220 4934360 4936608 4997120 5057280 5058000 5141568 5142300 5179392 5268000 5355800 5394432 5395200 5485120 5551155 5619200 5621760 5754880 5856000 5921232 6025275 6144000 6167950 6170760 6246400 6321600 6426960 6427875 6474240 6582144 6694750 6743040 6744000 6855424 6856400 6905856 7024000 7027200 7192576 7193600 7401540 7495680 7524899 7712352 7713450 7808000 7894976 7902000 8033700 8091648 8092800 8227680 8428800 8569280 8570500 8632320 8776192 8784000 8881848 8990720 8992000 8994816 9216000 9251925 9369600 9640440 9868720 9873216 10042125 10114560 10116000 10283136 10284600 10358784 10536000 10711600 10788864 10790400 10970240 11102310 11238400 11243520 11509760 11712000 11842464 12050550 12335900 12341520 12492800 12643200 12853920 12855750 12948480 13164288 13389500 13486080 13488000 13710848 13712800 13811712 14048000 14054400 14387200 14803080 14991360 15049798 15419875 15424704 15426900 15616000 15789952 15804000 16067400 16183296 16185600 16455360 16857600 17138560 17141000 17264640 17552384 17568000 17763696 17981440 17984000 18432000 18503850 18739200 19280880 19283625 19737440 19746432 20084250 20229120 20232000 20566272 20569200 20717568 21072000 21423200 21577728 21580800 21940480 22204620 22476800 22487040 22574697 23019520 23424000 23684928 24101100 24671800 24683040 24985600 25286400 25707840 25711500 25896960 26328576 26779000 26972160 26976000 27421696 27425600 27755775 28096000 28108800 28774400 29606160 30099596 30126375 30839750 30849408 30853800 31232000 31579904 31608000 32134800 32366592 32371200 32910720 33715200 34277120 34282000 34529280 35104768 35136000 35527392 35962880 35968000 37007700 37478400 37624495 38561760 38567250 39474880 39492864 40168500 40458240 40464000 41132544 41138400 41435136 42144000 42846400 43161600 43880960 44409240 44953600 44974080 45149394 46259625 46848000 47369856 48202200 49343600 49366080 50572800 51415680 51423000 51793920 52657152 53558000 53944320 53952000 54843392 54851200 55511550 56192000 56217600 57548800 59212320 60199192 60252750 61679500 61698816 61707600 62464000 63159808 63216000 64269600 64733184 64742400 65821440 67430400 67724091 68554240 68564000 69058560 70209536 70272000 71054784 71936000 74015400 74956800 75248990 77123520 77134500 78949760 78985728 80337000 80916480 80928000 82265088 82276800 84288000 85692800 86323200 87761920 88818480 89907200 90298788 92519250 93696000 94739712 96404400 98687200 98732160 101145600 102831360 102846000 103587840 105314304 107116000 107888640 107904000 109686784 109702400 111023100 112384000 112435200 112873485 115097600 118424640 120398384 120505500 123359000 123397632 123415200 124928000 126319616 126432000 128539200 129484800 131642880 134860800 135448182 137108480 137128000 138778875 140419072 140544000 142109568 143872000 148030800 150497980 154247040 154269000 157899520 157971456 160674000 161832960 161856000 164530176 164553600 168576000 171385600 172646400 175523840 177636960 179814400 180597576 185038500 187392000 188122475 189479424 192808800 197374400 197464320 202291200 205662720 205692000 207175680 210628608 214232000 215808000 219373568 219404800 222046200 224768000 224870400 225746970 236849280 240796768 241011000 246718000 246795264 246830400 252639232 252864000 257078400 258969600 263285760 269721600 270896364 274216960 274256000 277557750 280838144 281088000 284219136 287744000 296061600 300995960 308494080 308538000 315799040 315942912 321348000 323665920 323712000 329060352 329107200 337152000 338620455 342771200 345292800 351047680 355273920 361195152 370077000 374784000 376244950 378958848 385617600 394748800 394928640 404582400 411325440 411384000 421257216 428464000 431616000 438747136 438809600 444092400 449536000 451493940 473698560 481593536 482022000 493436000 493590528 493660800 505278464 505728000 514156800 517939200 526571520 539443200 541792728 548433920 548512000 555115500 562176000 564367425 568438272 575488000 592123200 601991920 616988160 617076000 631598080 631885824 642696000 647424000 658120704 658214400 674304000 677240910 685542400 702095360 710547840 722390304 740154000 752489900 757917696 771235200 789497600 789857280 809164800 822650880 822768000 842514432 856928000 863232000 877619200 888184800 899072000 902987880 940612375 947397120 963187072 964044000 986872000 987181056 987321600 1010556928 1011456000 1028313600 1035878400 1053143040 1083585456 1096867840 1097024000 1110231000 1124352000 1128734850 1136876544 1184246400 1203983840 1233976320 1234152000 1263196160 1263771648 1285392000 1294848000 1316241408 1316428800 1348608000 1354481820 1371084800 1404190720 1421095680 1444780608 1480308000 1504979800 1515835392 1542470400 1578995200 1579714560 1618329600 1645301760 1645536000 1693102275 1713856000 1726464000 1755238400 1776369600 1805975760 1881224750 1894794240 1926374144 1928088000 1973744000 1974362112 1974643200 2021113856 2022912000 2056627200 2106286080 2167170912 2193735680 2194048000 2220462000 2257469700 2273753088 2368492800 2407967680 2467952640 2468304000 2526392320 2527543296 2570784000 2589696000 2632857600 2697216000 2708963640 2742169600 2821837125 2842191360 2889561216 2960616000 3009959600 3031670784 3084940800 3157990400 3159429120 3290603520 3291072000 3386204550 3427712000 3510476800 3552739200 3611951520 3762449500 3789588480 3852748288 3856176000 3947488000 3948724224 3949286400 4045824000 4113254400 4212572160 4334341824 4388096000 4440924000 4514939400 4547506176 4736985600 4815935360 4935905280 4936608000 5052784640 5141568000 5179392000 5265715200 5417927280 5484339200 5643674250 5684382720 5779122432 5921232000 6019919200 6063341568 6169881600 6315980800 6318858240 6581207040 6582144000 6772409100 6855424000 7020953600 7105478400 7223903040 7524899000 7579176960 7705496576 7712352000 7894976000 7898572800 8091648000 8226508800 8465511375 8668683648 8776192000 8881848000 9029878800 9095012352 9473971200 9631870720 9871810560 9873216000 10105569280 10283136000 10531430400 10835854560 10968678400 11287348500 11368765440 11558244864 11842464000 12039838400 12339763200 12631961600 12637716480 13164288000 13544818200 13710848000 14210956800 14447806080 15049798000 15158353920 15410993152 15424704000 15789952000 15797145600 16453017600 16931022750 17337367296 17552384000 17763696000 18059757600 18190024704 18947942400 19263741440 19743621120 19746432000 20566272000 21062860800 21671709120 22574697000 22737530880 23116489728 23684928000 24079676800 24679526400 25263923200 26328576000 27089636400 27421696000 28421913600 28895612160 30099596000 30316707840 30821986304 30849408000 31579904000 31594291200 32906035200 33862045500 34674734592 35104768000 35527392000 36119515200 37895884800 38527482880 39492864000 41132544000 43343418240 45149394000 45475061760 46232979456 47369856000 48159353600 49359052800 50527846400 52657152000 54179272800 54843392000 56843827200 57791224320 60199192000 61643972608 61698816000 63159808000 63188582400 67724091000 69349469184 71054784000 72239030400 75791769600 77054965760 78985728000 82265088000 86686836480 90298788000 90950123520 92465958912 94739712000 96318707200 98718105600 105314304000 108358545600 113687654400 115582448640 120398384000 123287945216 123397632000 126319616000 135448182000 138698938368 142109568000 144478060800 151583539200 154109931520 157971456000 164530176000 173373672960 180597576000 184931917824 189479424000 192637414400 216717091200 227375308800 231164897280 240796768000 246795264000 252639232000 270896364000 277397876736 284219136000 288956121600 308219863040 315942912000 346747345920 361195152000 369863835648 378958848000 385274828800 433434182400 454750617600 462329794560 481593536000 493590528000 541792728000 554795753472 568438272000 577912243200 616439726080 693494691840 722390304000 757917696000 770549657600 866868364800 924659589120 963187072000 1083585456000 1109591506944 1136876544000 1155824486400 1386989383680 1444780608000 1541099315200 1733736729600 1849319178240 1926374144000 2167170912000 2273753088000 2311648972800 2773978767360 2889561216000 3082198630400 3467473459200 3852748288000 4334341824000 4623297945600 5547957534720 5779122432000 6934946918400 7705496576000 8668683648000 9246595891200 11558244864000 13869893836800 15410993152000 17337367296000 23116489728000 27739787673600 34674734592000 46232979456000 69349469184000 138698938368000
- Sum of all divisors σ(n): 511208546808960
- Sum of proper divisors (its aliquot sum) s(n): 372509608440960
- 138698938368000 is an abundant number, because the sum of its proper divisors (372509608440960) is greater than itself. Its abundance is 233810670072960
Bases of 138698938368000
- Binary: 111111000100101010111001111001111000000000000002
- Hexadecimal: 0x7E255CF3C000
- Base-36: 1D5XEUSXS0
Squares and roots of 138698938368000
- 138698938368000 squared (1386989383680002) is 19237395504410262503424000000
- 138698938368000 cubed (1386989383680003) is 2668206333427039271149106764972032000000000
-
The
square root of 138698938368000 is 11777051.3443730897 -
The
cube root of 138698938368000 is 51763.5888442409
Scales and comparisons
How big is 138698938368000?- 138,698,938,368,000 seconds is equal to 4,410,197 years, 11 weeks, 1 day, 16 hours.
-
To count from 1 to 138,698,938,368,000 would take you about eleven million, twenty-five thousand, four hundred ninety-three 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 138698938368000 cubic inches would be around 4313.6 feet tall.
Recreational maths with 138698938368000
- 138698938368000 backwards is 000863839896831
- 138698938368000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138698938368000's digits is 72
- More coming soon!
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The information we have on file for 138698938368000 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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