138256720058016
138,256,720,058,016 is an even composite number composed of seven prime numbers multiplied together.
138256720058016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138256720058016:
25 × 35 × 7 × 71 × 101 × 127 × 2789
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 71 × 101 × 127 × 2789)See below for interesting mathematical facts about the number 138256720058016 from the Numbermatics database.
Names of 138256720058016
- Cardinal: 138256720058016 can be written as One hundred thirty-eight trillion, two hundred fifty-six billion, seven hundred twenty million, fifty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.38256720058016 × 1014
Factors of 138256720058016
Divisors of 138256720058016
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 71 72 81 84 96 101 108 112 126 127 142 144 162 168 189 202 213 216 224 243 252 254 284 288 303 324 336 378 381 404 426 432 486 497 504 508 567 568 606 639 648 672 707 756 762 808 852 864 889 909 972 994 1008 1016 1134 1136 1143 1212 1278 1296 1414 1491 1512 1524 1616 1701 1704 1778 1818 1917 1944 1988 2016 2032 2121 2268 2272 2286 2424 2556 2592 2667 2727 2789 2828 2982 3024 3048 3232 3402 3408 3429 3556 3636 3834 3888 3976 4064 4242 4473 4536 4572 4848 5112 5334 5454 5578 5656 5751 5964 6048 6096 6363 6804 6816 6858 7112 7171 7272 7668 7776 7952 8001 8181 8367 8484 8946 9017 9072 9144 9696 10224 10287 10668 10908 11156 11312 11502 11928 12192 12726 12827 13419 13608 13716 14224 14342 14544 15336 15904 16002 16362 16734 16968 17253 17892 18034 18144 18288 19089 19523 20448 20574 21336 21513 21816 22312 22624 23004 23856 24003 24543 25101 25452 25654 26838 27051 27216 27432 28448 28684 29088 30672 30861 32004 32724 33468 33936 34506 35784 36068 36576 38178 38481 39046 40257 41148 42672 43026 43632 44624 46008 47712 48006 49086 50197 50202 50904 51308 53676 54102 54432 54864 57267 57368 58569 61344 61722 63119 64008 64539 65448 66936 67872 69012 71568 72009 72136 75303 76356 76962 78092 80514 81153 82296 85344 86052 87264 89248 89789 92016 96012 98172 100394 100404 101808 102616 107352 108204 109728 114534 114736 115443 117138 120771 123444 126238 128016 129078 130896 133872 138024 143136 144018 144272 150591 150606 152712 153924 156184 161028 162306 164592 171801 172104 175707 179578 184032 189357 192024 193617 196344 198019 200788 200808 203616 205232 214704 216027 216408 225909 229068 229472 230886 234276 241542 243459 246888 252476 256032 258156 261792 267744 269367 276048 281689 288036 288544 301182 301212 305424 307848 312368 322056 324612 329184 343602 344208 346329 351414 354203 359156 378714 384048 387234 392688 396038 401576 401616 410464 429408 432054 432816 451773 451818 458136 461772 468552 483084 486918 493776 504952 516312 527121 538734 552096 563378 568071 576072 580851 594057 602364 602424 610848 615696 624736 644112 649224 677727 687204 688416 692658 702828 708406 718312 730377 757428 768096 774468 785376 792076 803152 803232 808101 845067 864108 865632 903546 903636 910717 916272 923544 937104 966168 973836 987552 1009904 1032624 1038987 1054242 1062609 1077468 1126756 1136142 1152144 1161702 1188114 1204728 1204848 1231392 1288224 1298448 1355319 1355454 1374408 1385316 1386133 1405656 1416812 1436624 1460754 1514856 1548936 1581363 1584152 1606304 1616202 1690134 1704213 1728216 1742553 1782171 1807092 1807272 1821434 1832544 1847088 1874208 1932336 1947672 1971823 2019808 2065248 2077974 2108484 2125218 2154936 2191131 2253512 2272284 2304288 2323404 2376228 2409456 2409696 2424303 2479421 2535201 2596896 2710638 2710908 2732151 2748816 2770632 2772266 2811312 2833624 2873248 2921508 3029712 3097872 3116961 3162726 3168304 3187827 3232404 3380268 3408426 3456432 3485106 3564342 3614184 3614544 3642868 3694176 3864672 3895344 3943646 4065957 4155948 4158399 4216968 4250436 4309872 4382262 4507024 4544568 4646808 4744089 4752456 4818912 4848606 4958842 5070402 5112639 5346513 5421276 5421816 5464302 5497632 5541264 5544532 5622624 5667248 5843016 5915469 6059424 6195744 6233922 6325452 6336608 6375019 6375654 6464808 6760536 6816852 6912864 6970212 7128684 7228368 7229088 7272909 7285736 7438263 7605603 7790688 7887292 8131914 8196453 8311896 8316798 8433936 8500872 8619744 8764524 9014048 9089136 9293616 9488178 9504912 9563481 9697212 9917684 10140804 10225278 10693026 10842552 10843632 10928604 11082528 11089064 11334496 11686032 11830938 12197871 12467844 12475197 12650904 12750038 12751308 12929616 13521072 13633704 13940424 14257368 14456736 14545818 14571472 14876526 15211206 15337917 15774584 16039539 16263828 16392906 16623792 16633596 16867872 17001744 17529048 17746407 18178272 18587232 18976356 19009824 19125057 19126962 19394424 19835368 19999919 20281608 20450556 21386052 21685104 21687264 21818727 21857208 22178128 22314789 22816809 23372064 23661876 24395742 24589359 24935688 24950394 25148413 25301808 25500076 25502616 25859232 27042144 27267408 27880848 28514736 28690443 29091636 29142944 29753052 30422412 30675834 31549168 32079078 32527656 32785812 33247584 33267192 34003488 35058096 35492814 35774503 37425591 37952712 38250114 38253924 38788848 39670736 39999838 40563216 40901112 42772104 43370208 43637454 43714416 44356256 44629578 45633618 47323752 48118617 48791484 49178718 49871376 49900788 50296826 50603616 51000152 51005232 53239221 54534816 55761696 57029472 57375171 57380886 58183272 59506104 59999757 60844824 61351668 63098336 64158156 65055312 65571624 66534384 66944367 68450427 70116192 70985628 71549006 73768077 74851182 75445239 75905424 76500228 76507848 77577696 79341472 79999676 81126432 81802224 85544208 86071329 87274908 87428832 89259156 91267236 94647504 96237234 97582968 98357436 99742752 99801576 100593652 102000304 102010464 106478442 107323509 112276773 114750342 114761772 116366544 119012208 119999514 121689648 122703336 128316312 130110624 131143248 133068768 133888734 136900854 139999433 141971256 143098012 147536154 149702364 150890478 151810848 153000456 153015696 159717663 159999352 163604448 171088416 172125513 172142658 174549816 176038891 178518312 179999271 182534472 189295008 192474468 195165936 196714872 199603152 200833101 201187304 204000608 212956884 214647018 221304231 224553546 226335717 229500684 229523544 232733088 238024416 239999028 243379296 245406672 250421521 256632624 262286496 267777468 273801708 279998866 283942512 286196024 295072308 299404728 301780956 306000912 306031392 319435326 319998704 321970527 336830319 344251026 344285316 349099632 352077782 357036624 359998542 365068944 384948936 390331872 393429744 399206304 401666202 402374608 419998299 425913768 429294036 442608462 449107092 452671434 459001368 459047088 479152989 479998056 490813344 500843042 513265248 516376539 528116673 535554936 539997813 547603416 559997732 567885024 572392048 590144616 598809456 602499303 603561912 612001824 638870652 639997408 643941054 673660638 679007151 688502052 688570632 698199264 704155564 714073248 719997084 730137888 751264563 769897872 786859488 803332404 804749216 839996598 851827536 858588072 885216924 898214184 905342868 918002736 918094176 958305978 959996112 965911581 1001686084 1032753078 1056233346 1071109872 1079995626 1095206832 1119995464 1144784096 1180289232 1197618912 1204998606 1207123824 1259994897 1277741304 1287882108 1347321276 1358014302 1377004104 1377141264 1408311128 1439994168 1502529126 1539795744 1549129617 1584350019 1606664808 1619993439 1679993196 1703655072 1717176144 1770433848 1796428368 1810685736 1836005472 1916611956 1919992224 1931823162 2003372168 2037021453 2065506156 2112466692 2142219744 2159991252 2190413664 2239990928 2253793689 2360578464 2409997212 2414247648 2519989794 2539989713 2555482608 2575764216 2694642552 2716028604 2754008208 2754282528 2816622256 2879988336 2897734743 3005058252 3098259234 3168700038 3213329616 3239986878 3359986392 3434352288 3540867696 3592856736 3621371472 3779984691 3833223912 3863646324 4006744336 4074042906 4131012312 4224933384 4319982504 4479981856 4507587378 4753050057 4819994424 4859980317 5039979588 5079979426 5110965216 5151528432 5389285104 5432057208 5508016416 5633244512 5759976672 5795469486 6010116504 6111064359 6196518468 6337400076 6426659232 6479973756 6719972784 6761381067 7081735392 7242742944 7559969382 7619969139 7666447824 7727292648 8013488672 8148085812 8262024624 8449866768 8639965008 8693204229 9015174756 9506100114 9639988848 9719960634 10079959176 10159958852 10303056864 10778570208 10864114416 11339954073 11590938972 12020233008 12222128718 12393036936 12674800152 12959947512 13439945568 13522762134 14259150171 15119938764 15239938278 15332895648 15454585296 16296171624 16524049248 16899733536 17279930016 17386408458 17779927991 18030349512 19012200228 19279977696 19439921268 20159918352 20284143201 20319917704 21728228832 22679908146 22859907417 23181877944 24040466016 24444257436 24786073872 25349600304 25919895024 27045524268 28518300342 30239877528 30479876556 30909170592 32592343248 34019862219 34772816916 35559855982 36060699024 38024400456 38879842536 40319836704 40568286402 40639835408 42777450513 45359816292 45719814834 46363755888 48888514872 49572147744 50699200608 51839790048 53339783973 54091048536 57036600684 60479755056 60852429603 60959753112 65184686496 68039724438 68579722251 69545633832 71119711964 72121398048 76048800912 77759685072 81136572804 81279670816 85554901026 90719632584 91439629668 92727511776 97777029744 106679567946 108182097072 114073201368 120959510112 121704859206 121919506224 136079448876 137159444502 139091267664 142239423928 152097601824 155519370144 160019351919 162273145608 171109802052 181439265168 182879259336 195554059488 205739166753 213359135892 216364194144 228146402736 243409718412 243839012448 272158897752 274318889004 278182535328 284478847856 320038703838 324546291216 342219604104 362878530336 365758518672 411478333506 426718271784 456292805472 480058055757 486819436824 544317795504 548637778008 568957695712 617217500259 640077407676 649092582432 684439208208 731517037344 822956667012 853436543568 960116111514 973638873648 1088635591008 1097275556016 1234435000518 1280154815352 1368878416416 1440174167271 1645913334024 1706873087136 1920232223028 1947277747296 2194551112032 2468870001036 2560309630704 2880348334542 3291826668048 3840464446056 4320522501813 4937740002072 5120619261408 5760696669084 6583653336096 7680928892112 8641045003626 9875480004144 11521393338168 15361857784224 17282090007252 19750960008288 23042786676336 34564180014504 46085573352672 69128360029008 138256720058016
- Sum of all divisors σ(n): 481148084551680
- Sum of proper divisors (its aliquot sum) s(n): 342891364493664
- 138256720058016 is an abundant number, because the sum of its proper divisors (342891364493664) is greater than itself. Its abundance is 204634644435648
Bases of 138256720058016
- Binary: 111110110111110011001101010111111010110101000002
- Hexadecimal: 0x7DBE66AFD6A0
- Base-36: 1D0A9DFU00
Squares and roots of 138256720058016
- 138256720058016 squared (1382567200580162) is 19114920641200603738405856256
- 138256720058016 cubed (1382567200580163) is 2642766232021663570811625941233394476548096
-
The
square root of 138256720058016 is 11758261.7787671321 -
The
cube root of 138256720058016 is 51708.5170990069
Scales and comparisons
How big is 138256720058016?- 138,256,720,058,016 seconds is equal to 4,396,136 years, 2 weeks, 1 day, 4 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,256,720,058,016 would take you about ten million, nine hundred ninety thousand, three hundred forty 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 138256720058016 cubic inches would be around 4309 feet tall.
Recreational maths with 138256720058016
- 138256720058016 backwards is 610850027652831
- 138256720058016 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138256720058016's digits is 54
- More coming soon!
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The information we have on file for 138256720058016 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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