138168314818688
138,168,314,818,688 is an even composite number composed of five prime numbers multiplied together.
138168314818688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138168314818688:
27 × 72 × 112 × 1032 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 103 × 103 × 131 × 131)See below for interesting mathematical facts about the number 138168314818688 from the Numbermatics database.
Names of 138168314818688
- Cardinal: 138168314818688 can be written as One hundred thirty-eight trillion, one hundred sixty-eight billion, three hundred fourteen million, eight hundred eighteen thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38168314818688 × 1014
Factors of 138168314818688
Divisors of 138168314818688
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 103 112 121 128 131 154 176 196 206 224 242 262 308 352 392 412 448 484 524 539 616 704 721 784 824 847 896 917 968 1048 1078 1133 1232 1408 1441 1442 1568 1648 1694 1834 1936 2096 2156 2266 2464 2882 2884 3136 3296 3388 3668 3872 4192 4312 4532 4928 5047 5764 5768 5929 6272 6419 6592 6776 7336 7744 7931 8384 8624 9064 9856 10087 10094 10609 11528 11536 11858 12463 12838 13184 13493 13552 14672 15488 15851 15862 16768 17161 17248 18128 20174 20188 21218 23056 23072 23716 24926 25676 26986 27104 29344 31702 31724 34322 34496 36256 40348 40376 42436 46112 46144 47432 49852 51352 53972 54208 55517 58688 63404 63448 68644 68992 70609 72512 74263 80696 80752 84872 87241 92224 92288 94451 94864 99704 102704 107944 108416 110957 111034 116699 117376 120127 126808 126896 137288 141218 145024 148423 148526 161392 161504 169744 174482 184448 188771 188902 189728 199408 205408 215888 221914 222068 233398 240254 253616 253792 274576 282436 296846 297052 322784 323008 339488 348964 377542 377804 379456 398816 410816 431776 443828 444136 466796 480508 507232 507584 519841 549152 564872 593692 594104 610687 645568 646016 661157 678976 697928 755084 755608 758912 776699 797632 816893 821632 840889 863552 887656 888272 933592 961016 1014464 1015168 1038961 1039682 1098304 1129744 1187384 1188208 1221374 1283689 1291136 1321397 1322314 1357952 1389779 1395856 1510168 1511216 1553398 1595264 1632653 1633786 1681778 1727104 1767583 1775312 1776544 1867184 1922032 2028928 2076481 2077922 2079364 2196608 2259488 2374768 2376416 2442748 2567378 2642794 2644628 2779558 2791712 3020336 3022432 3106796 3265306 3267572 3363556 3535166 3550624 3553088 3734368 3844064 4152962 4155844 4158728 4518976 4749536 4752832 4885496 5134756 5285588 5289256 5559116 5583424 5718251 6040672 6044864 6213592 6530612 6535144 6727112 7070332 7101248 7106176 7272727 7468736 7688128 8305924 8311688 8317456 8985823 9037952 9249779 9499072 9505664 9728453 9770992 10269512 10571176 10578512 11118232 11166848 11428571 11436502 12081344 12089728 12373081 12427184 13061224 13070288 13454224 14140664 14202496 14535367 14545454 14937472 15287569 15376256 16611848 16623376 16634912 17971646 18499558 18998144 19443413 19456906 19541984 20539024 21142352 21157024 22236464 22857142 22873004 24162688 24746162 24854368 26122448 26140576 26908448 28281328 29070734 29090908 30575138 33223696 33246752 33269824 35943292 36999116 38886826 38913812 39083968 41078048 42284704 42314048 44472928 45714284 45746008 49492324 49708736 52244896 52281152 53816896 56562656 58141468 58181816 61150276 62900761 66447392 66493504 66539648 68099171 71886584 73998232 77773652 77827624 78167936 79999997 82156096 84569408 84628096 86611567 88945856 91428568 91492016 98984648 99417472 101747569 104489792 104562304 107012983 107633792 113125312 116282936 116363632 122300552 125801522 132894784 132987008 136103891 136198342 143773168 147996464 155547304 155655248 159999994 164312192 168163259 169138816 173223134 177891712 182061049 182857136 182984032 197969296 203495138 208979584 213877543 214025966 226250624 232565872 232727264 244601104 251603044 265789568 272207782 272396684 287546336 295992928 311094608 311310496 319999988 336326518 346446268 364122098 365714272 365968064 395938592 406990276 427755086 428051932 465131744 465454528 489202208 503206088 544415564 544793368 575092672 591985856 622189216 622620992 639999976 672653036 692892536 728244196 731428544 731936128 749090881 791877184 813980552 855510172 856103864 930263488 930909056 952727237 978404416 1006412176 1088831128 1089586736 1150185344 1177142813 1183971712 1244378432 1245241984 1274427343 1279999952 1345306072 1385785072 1456488392 1462857088 1497142801 1498181762 1583754368 1627961104 1711020344 1712207728 1860526976 1905454474 1956808832 2002671539 2012824352 2177662256 2179173472 2354285626 2488756864 2548854686 2559999904 2690612144 2771570144 2912976784 2994285602 2996363524 3255922208 3422040688 3424415456 3810908948 4005343078 4025648704 4355324512 4358346944 4708571252 5097709372 5119999808 5381224288 5543140288 5825953568 5988571204 5992727048 6511844416 6844081376 6848830912 7621817896 8010686156 8051297408 8239999691 8710649024 8716693888 8920991401 9417142504 10195418744 10239999616 10479999607 10762448576 11086280576 11651907136 11977142408 11985454096 13023688832 13688162752 13697661824 14018700773 15243635792 16021372312 16479999382 17421298048 17841982802 18834285008 20390837488 20959999214 21524897152 22029386929 23303814272 23954284816 23970908192 27376325504 28037401546 30487271584 32042744624 32959998764 35683965604 37668570016 40781674976 41919998428 44058773858 47908569632 47941816384 56074803092 60974543168 64085489248 65919997528 71367931208 75337140032 81563349952 83839996856 88117547716 95817139264 95883632768 98130905411 112149606184 121949086336 128170978496 131839995056 142735862416 150674280064 154205708503 163126699904 167679993712 176235095432 191634278528 196261810822 224299212368 256341956992 263679990112 285471724832 308411417006 335359987424 352470190864 392523621644 448598424736 527359980224 570943449664 616822834012 670719974848 704940381728 785047243288 897196849472 1054719960448 1079439959521 1141886899328 1233645668024 1341439949696 1409880763456 1570094486576 1794393698944 2158879919042 2467291336048 2819761526912 3140188973152 4317759838084 4934582672096 6280377946304 8635519676168 9869165344192 12560755892608 17271039352336 19738330688384 34542078704672 69084157409344 138168314818688
- Sum of all divisors σ(n): 358136119382895
- Sum of proper divisors (its aliquot sum) s(n): 219967804564207
- 138168314818688 is an abundant number, because the sum of its proper divisors (219967804564207) is greater than itself. Its abundance is 81799489745519
Bases of 138168314818688
- Binary: 111110110101001110100010101001011110000100000002
- Hexadecimal: 0x7DA9D152F080
- Base-36: 1CZ5NB8QRK
Squares and roots of 138168314818688
- 138168314818688 squared (1381683148186882) is 19090483219836077974314041344
- 138168314818688 cubed (1381683148186883) is 2637699895559191776364665403661987895836672
-
The
square root of 138168314818688 is 11754501.8958137057 -
The
cube root of 138168314818688 is 51697.4934551797
Scales and comparisons
How big is 138168314818688?- 138,168,314,818,688 seconds is equal to 4,393,325 years, 1 week, 3 days, 9 hours, 38 minutes, 8 seconds.
-
To count from 1 to 138,168,314,818,688 would take you about ten million, nine hundred eighty-three thousand, three hundred twelve 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 138168314818688 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138168314818688
- 138168314818688 backwards is 886818413861831
- The number of decimal digits it has is: 15
- The sum of 138168314818688's digits is 74
- More coming soon!
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The information we have on file for 138168314818688 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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