138142434131968
138,142,434,131,968 is an even composite number composed of four prime numbers multiplied together.
138142434131968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred twelve divisors.
Prime factorization of 138142434131968:
216 × 73 × 372 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 37 × 37 × 67 × 67)See below for interesting mathematical facts about the number 138142434131968 from the Numbermatics database.
Names of 138142434131968
- Cardinal: 138142434131968 can be written as One hundred thirty-eight trillion, one hundred forty-two billion, four hundred thirty-four million, one hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38142434131968 × 1014
Factors of 138142434131968
Divisors of 138142434131968
- Number of divisors d(n): 612
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 37 49 56 64 67 74 98 112 128 134 148 196 224 256 259 268 296 343 392 448 469 512 518 536 592 686 784 896 938 1024 1036 1072 1184 1369 1372 1568 1792 1813 1876 2048 2072 2144 2368 2479 2738 2744 3136 3283 3584 3626 3752 4096 4144 4288 4489 4736 4958 5476 5488 6272 6566 7168 7252 7504 8192 8288 8576 8978 9472 9583 9916 10952 10976 12544 12691 13132 14336 14504 15008 16384 16576 17152 17353 17956 18944 19166 19832 21904 21952 22981 25088 25382 26264 28672 29008 30016 31423 32768 33152 34304 34706 35912 37888 38332 39664 43808 43904 45962 50176 50764 52528 57344 58016 60032 62846 65536 66304 67081 68608 69412 71824 75776 76664 79328 87616 87808 91723 91924 100352 101528 105056 114688 116032 120064 121471 125692 132608 134162 137216 138824 143648 151552 153328 158656 166093 175232 175616 183446 183848 200704 203056 210112 219961 229376 232064 240128 242942 251384 265216 268324 274432 277648 287296 303104 306656 317312 332186 350464 351232 366892 367696 401408 406112 420224 439922 458752 464128 469567 480256 485884 502768 530432 536648 548864 555296 574592 606208 613312 634624 642061 664372 700928 702464 733784 735392 802816 812224 840448 850297 879844 928256 939134 960512 971768 1005536 1060864 1073296 1097728 1110592 1149184 1162651 1212416 1226624 1269248 1284122 1328744 1401856 1404928 1467568 1470784 1539727 1605632 1624448 1680896 1700594 1759688 1856512 1878268 1921024 1943536 2011072 2121728 2146592 2195456 2221184 2298368 2325302 2424832 2453248 2538496 2568244 2657488 2803712 2809856 2935136 2941568 3079454 3211264 3248896 3361792 3401188 3519376 3713024 3756536 3842048 3887072 4022144 4243456 4293184 4390912 4442368 4494427 4596736 4650604 4906496 5076992 5136488 5314976 5607424 5619712 5870272 5883136 6145441 6158908 6497792 6723584 6802376 7038752 7426048 7513072 7684096 7774144 8044288 8138557 8486912 8586368 8884736 8988854 9193472 9301208 9812992 10153984 10272976 10629952 11214848 11239424 11740544 11766272 12290882 12317816 12995584 13447168 13604752 14077504 14852096 15026144 15368192 15548288 16088576 16277114 16973824 17172736 17769472 17977708 18386944 18602416 19625984 20307968 20545952 21259904 22429696 22478848 23481088 23532544 24581764 24635632 25991168 26894336 27209504 28155008 29704192 30052288 30736384 31096576 31460989 32177152 32554228 34345472 35538944 35955416 36773888 37204832 39251968 40615936 41091904 42519808 43018087 44859392 46962176 47065088 49163528 49271264 51982336 53788672 54419008 56310016 56969899 59408384 60104576 62193152 62921978 64354304 65108456 68690944 71077888 71910832 73547776 74409664 78503936 81231872 82183808 85039616 86036174 89718784 93924352 94130176 98327056 98542528 103964672 107577344 108838016 112620032 113939798 118816768 120209152 124386304 125843956 128708608 130216912 137381888 142155776 143821664 147095552 148819328 157007872 162463744 164367616 170079232 172072348 187848704 188260352 196654112 197085056 207929344 215154688 217676032 225240064 227879596 240418304 248772608 251687912 257417216 260433824 274763776 284311552 287643328 294191104 297638656 301126609 314015744 328735232 340158464 344144696 375697408 376520704 393308224 394170112 415858688 435352064 450480128 455759192 480836608 497545216 503375824 514834432 520867648 549527552 568623104 575286656 595277312 602253218 628031488 657470464 680316928 688289392 751394816 753041408 786616448 788340224 831717376 870704128 900960256 911518384 961673216 995090432 1006751648 1029668864 1041735296 1099055104 1137246208 1150573312 1190554624 1204506436 1314940928 1360633856 1376578784 1502789632 1506082816 1573232896 1576680448 1741408256 1801920512 1823036768 1923346432 1990180864 2013503296 2059337728 2083470592 2107886263 2198110208 2301146624 2381109248 2409012872 2629881856 2721267712 2753157568 3005579264 3146465792 3153360896 3482816512 3603841024 3646073536 3846692864 3980361728 4027006592 4166941184 4215772526 4396220416 4602293248 4762218496 4818025744 5259763712 5442535424 5506315136 6011158528 6292931584 6306721792 6965633024 7207682048 7292147072 7693385728 7960723456 8054013184 8333882368 8431545052 9204586496 9524436992 9636051488 10519527424 10885070848 11012630272 12585863168 12613443584 13931266048 14415364096 14584294144 15386771456 16108026368 16667764736 16863090104 18409172992 19048873984 19272102976 21039054848 22025260544 25171726336 25226887168 27862532096 29168588288 30773542912 32216052736 33335529472 33726180208 36818345984 38097747968 38544205952 42078109696 44050521088 50343452672 50453774336 55725064192 58337176576 64432105472 66671058944 67452360416 73636691968 76195495936 77088411904 88101042176 100686905344 100907548672 116674353152 128864210944 133342117888 134904720832 147273383936 154176823808 176202084352 201373810688 233348706304 257728421888 266684235776 269809441664 294546767872 308353647616 352404168704 402747621376 466697412608 515456843776 533368471552 539618883328 616707295232 704808337408 933394825216 1030913687552 1079237766656 1233414590464 1409616674816 1866789650432 2061827375104 2158475533312 2466829180928 2819233349632 3733579300864 4316951066624 4933658361856 8633902133248 9867316723712 17267804266496 19734633447424 34535608532992 69071217065984 138142434131968
- Sum of all divisors σ(n): 336155119851600
- Sum of proper divisors (its aliquot sum) s(n): 198012685719632
- 138142434131968 is an abundant number, because the sum of its proper divisors (198012685719632) is greater than itself. Its abundance is 59870251587664
Bases of 138142434131968
- Binary: 111110110100011110010101011011100000000000000002
- Hexadecimal: 0x7DA3CAB70000
- Base-36: 1CYTRAJT34
Squares and roots of 138142434131968
- 138142434131968 squared (1381424341319682) is 19083332107905117477639553024
- 138142434131968 cubed (1381424341319683) is 2636217948734752741033090972696556949471232
-
The
square root of 138142434131968 is 11753400.9602313831 -
The
cube root of 138142434131968 is 51694.2653870993
Scales and comparisons
How big is 138142434131968?- 138,142,434,131,968 seconds is equal to 4,392,502 years, 5 weeks, 2 days, 9 hours, 59 minutes, 28 seconds.
-
To count from 1 to 138,142,434,131,968 would take you about ten million, nine hundred eighty-one thousand, two hundred fifty-five 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 138142434131968 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138142434131968
- 138142434131968 backwards is 869131434241831
- The number of decimal digits it has is: 15
- The sum of 138142434131968's digits is 58
- More coming soon!
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The information we have on file for 138142434131968 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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