138021476448128
138,021,476,448,128 is an even composite number composed of six prime numbers multiplied together.
What does the number 138021476448128 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138021476448128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138021476448128:
27 × 72 × 132 × 19 × 293 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 19 × 29 × 29 × 29 × 281)See below for interesting mathematical facts about the number 138021476448128 from the Numbermatics database.
Names of 138021476448128
- Cardinal: 138021476448128 can be written as One hundred thirty-eight trillion, twenty-one billion, four hundred seventy-six million, four hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38021476448128 × 1014
Factors of 138021476448128
Divisors of 138021476448128
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 29 32 38 49 52 56 58 64 76 91 98 104 112 116 128 133 152 169 182 196 203 208 224 232 247 266 281 304 338 364 377 392 406 416 448 464 494 532 551 562 608 637 676 728 754 784 812 832 841 896 928 931 988 1064 1102 1124 1183 1216 1274 1352 1421 1456 1508 1568 1624 1664 1682 1729 1856 1862 1967 1976 2128 2204 2248 2366 2432 2548 2639 2704 2842 2912 3016 3136 3211 3248 3364 3458 3653 3712 3724 3857 3934 3952 4256 4408 4496 4732 4901 5096 5278 5339 5408 5684 5824 5887 6032 6272 6422 6496 6728 6916 7163 7306 7448 7714 7868 7904 8149 8281 8512 8816 8992 9464 9802 10192 10556 10678 10816 10933 11368 11648 11774 12064 12103 12844 12992 13456 13769 13832 14326 14612 14896 15428 15736 15808 15979 16298 16562 17024 17632 17984 18473 18928 19604 20384 21112 21356 21632 21866 22477 22736 23548 24128 24206 24389 25571 25688 25984 26912 26999 27538 27664 28652 29224 29792 30856 31472 31616 31958 32596 33124 34307 35264 35968 36946 37373 37856 39208 40768 41209 42224 42712 43732 44954 45472 47096 47489 48256 48412 48778 50141 51142 51376 53824 53998 55076 55328 57043 57304 58448 59584 61712 62944 63916 65192 66248 68614 69407 70528 73892 74746 75712 76531 78416 81536 82418 84448 85424 87464 89908 90944 93119 94192 94978 96824 97556 100282 102284 102752 105937 107648 107996 110152 110656 111853 114086 114608 116896 119168 123424 125888 127832 130384 132496 137228 138814 142129 147784 149492 151424 153062 154831 156832 157339 164836 168896 170723 170848 174928 178997 179816 181888 186238 188384 189956 193648 195112 200564 204568 205504 207727 211874 215992 220304 221312 223706 228172 229216 233792 236321 240149 246848 251776 255664 260768 261611 264992 274456 277628 284258 295568 298984 306124 309662 313664 314678 317057 329672 332423 337792 341446 341696 349856 350987 357994 359632 372476 376768 379912 387296 390224 399301 401128 409136 411008 415454 423748 431984 440608 447412 456344 458432 463391 467584 472642 480298 485849 493696 511328 521536 523222 529984 535717 548912 555256 568516 591136 597968 612248 619324 627328 629356 634114 651833 659344 664846 682892 683392 699712 701974 715988 719264 741559 744952 753536 759824 774592 780448 782971 798602 802256 818272 830908 847496 863968 881216 894824 902291 912688 916864 926782 945284 960596 971698 994903 1022656 1043072 1046444 1059968 1071434 1083817 1097824 1110512 1137032 1182272 1195061 1195936 1224496 1238648 1258712 1268228 1303666 1318688 1329692 1365784 1377181 1399424 1403948 1431976 1438528 1454089 1483118 1489904 1519648 1549184 1560896 1565942 1597204 1604512 1636544 1654247 1661816 1694992 1727936 1762432 1789648 1804582 1825376 1853564 1890568 1921192 1943396 1989806 2012803 2045312 2092888 2142868 2167634 2195648 2219399 2221024 2274064 2326961 2364544 2390122 2391872 2448992 2477296 2517424 2536456 2607332 2637376 2659384 2700451 2731568 2754362 2807896 2863952 2877056 2908178 2966236 2979808 3039296 3072173 3121792 3131884 3194408 3209024 3243737 3273088 3308494 3323632 3389984 3400943 3455872 3579296 3609164 3650752 3707128 3781136 3842384 3886792 3979612 4025606 4121741 4185776 4285736 4335268 4391296 4438798 4442048 4490099 4548128 4562831 4653922 4780244 4783744 4897984 4954592 5034848 5072912 5190913 5214664 5274752 5318768 5400902 5463136 5508724 5615792 5727904 5816356 5932472 5959616 6024083 6078592 6144346 6263768 6316037 6388816 6418048 6487474 6616988 6647264 6779968 6801886 6853309 6964321 7158592 7218328 7301504 7414256 7562272 7586719 7684768 7773584 7959224 8051212 8243482 8371552 8571472 8670536 8877596 8884096 8980198 9096256 9125662 9307844 9560488 9640267 9795968 9909184 10069696 10145824 10178623 10381826 10429328 10637536 10801804 10926272 11017448 11231584 11455808 11579729 11632712 11864944 11919232 12048166 12288692 12527536 12632074 12777632 12974948 13233976 13294528 13559936 13603772 13706618 13928642 14089621 14317184 14436656 14828512 15124544 15173438 15369536 15535793 15547168 15918448 16102424 16486964 16743104 17142944 17341072 17755192 17960396 18192512 18251324 18615688 18903157 19120976 19280534 19818368 20139392 20291648 20357246 20763652 20858656 21275072 21505211 21603608 21852544 22034896 22463168 22706159 22911616 23159458 23265424 23729888 24096332 24577384 25055072 25264148 25555264 25949896 26166439 26467952 26589056 27207544 27413236 27857284 28179242 28852187 28873312 29657024 30249088 30346876 30739072 31071586 31094336 31430693 31836896 32204848 32973928 33486208 34285888 34682144 35510384 35920792 36502648 37231376 37806314 38241952 38561068 39938249 40583296 40714492 41527304 41717312 42168581 42550144 43010422 43207216 44069792 44212259 44926336 45412318 46318916 46530848 47459776 47973163 48192664 49154768 50110144 50528296 51110528 51899792 52332878 52935904 54415088 54826472 55714568 56358484 57704374 57746624 58371287 59314048 60693752 62143172 62188672 62861386 63673792 64409696 65947856 67481869 68571776 69364288 71020768 71841584 73005296 74462752 75612628 76483904 77122136 78313079 79876498 81428984 83054608 83434624 84337162 86020844 86414432 88139584 88424518 89093017 90824636 92637832 93061696 94919552 95946326 96385328 98309536 98627347 100220288 101056592 103799584 104665756 105871808 108830176 109652944 111429136 112716968 115408748 115493248 116742574 121387504 124286344 125722772 127347584 128819392 130212871 131895712 132322099 134963738 138728576 142041536 143683168 146010592 148925504 150536477 151225256 152967808 154244272 156626158 159752996 162857968 166109216 168674324 172041688 172828864 176279168 176849036 178186034 181649272 183165073 185275664 186123392 191892652 192770656 196619072 197254694 201965309 202113184 207599168 209331512 211743616 217660352 219305888 220014851 222858272 225433936 230817496 233485148 242775008 248572688 251445544 257638784 260425742 263791424 264644198 269927476 279567743 284083072 287366336 292021184 295180067 297851008 301072954 302450512 308488544 313252316 319505992 325715936 332218432 335812141 337348648 344083376 345657728 353698072 356372068 363298544 366330146 370551328 383785304 385541312 393238144 394509388 403930618 404226368 408599009 415198336 418663024 435320704 438611776 440029702 445716544 450867872 461634992 466970296 485550016 497145376 502891088 520851484 527582848 529288396 539854952 548191553 559135486 574732672 584042368 590360134 602145908 604901024 616977088 623651119 626504632 639011984 651431872 664436864 671624282 674697296 688166752 707396144 712744136 726597088 732660292 741102656 758826731 767570608 771082624 789018776 807861236 808452736 817198018 837326048 877223552 880059404 891433088 901735744 911490097 923269984 933940592 971100032 994290752 1005782176 1041702968 1058576792 1079709904 1096383106 1118270972 1158209221 1180720268 1204291816 1209802048 1233954176 1247302238 1253009264 1278023968 1282155511 1302863744 1343248564 1349394592 1376333504 1414792288 1425488272 1453194176 1465320584 1482205312 1517653462 1535141216 1578037552 1615722472 1634396036 1674652096 1692767323 1760118808 1803471488 1822980194 1846539968 1867881184 1956974201 1988581504 2011564352 2083405936 2117153584 2159419808 2192766212 2236541944 2316418442 2361440536 2408583632 2419604096 2494604476 2506018528 2556047936 2564311022 2686497128 2698789184 2752667008 2829584576 2850976544 2860193063 2906388352 2930641168 3035306924 3070282432 3156075104 3231444944 3268792072 3349304192 3385534646 3520237616 3645960388 3693079936 3735762368 3837340871 3913948402 4023128704 4166811872 4234307168 4318839616 4365557833 4385532424 4473083888 4632836884 4722881072 4817167264 4989208952 5012037056 5112095872 5128622044 5311787117 5372994256 5397578368 5659169152 5701953088 5720386126 5861282336 6070613848 6140564864 6312150208 6380430679 6462889888 6537584144 6771069292 7040475232 7291920776 7471524736 7674681742 7827896804 8107464547 8333623744 8468614336 8637679232 8731115666 8771064848 8946167776 9265673768 9445762144 9634334528 9978417904 10024074112 10257244088 10623574234 10745988512 11403906176 11440772252 11722564672 11849371261 12141227696 12624300416 12760861358 12925779776 13075168288 13542138584 14080950464 14583841552 15349363484 15655793608 16214929094 16667247488 16937228672 17462231332 17542129696 17892335552 18531347536 18891524288 19268669056 19956835808 20514488176 21247148468 21491977024 22005975199 22881544504 23445129344 23698742522 24282455392 25521722716 25851559552 26150336576 27084277168 28161900928 29167683104 30698726968 31311587216 32429858188 34924462664 35084259392 35784671104 37062695072 37182509819 37783048576 39913671616 41028976352 42494296936 42983954048 44011950398 45763089008 47397485044 48564910784 51043445432 52300673152 54168554336 56752251829 58335366208 61397453936 62623174432 64859716376 69848925328 70168518784 74125390144 74365019638 79827343232 82057952704 82945598827 84988593872 88023900796 91526178016 94794970088 97129821568 102086890864 108337108672 113504503658 116670732416 122794907872 125246348864 129719432752 139697850656 148250780288 148730039276 154041826393 164115905408 165891197654 169977187744 176047801592 183052356032 189589940176 204173781728 216674217344 227009007316 245589815744 250492697728 259438865504 279395701312 297460078552 308083652786 331782395308 339954375488 352095603184 366104712064 379179880352 408347563456 454018014632 491179631488 518877731008 558791402624 594920157104 616167305572 663564790616 679908750976 704191206368 758359760704 816695126912 908036029264 1037755462016 1078292784751 1189840314208 1232334611144 1327129581232 1408382412736 1516719521408 1816072058528 2156585569502 2379680628416 2464669222288 2654259162464 2816764825472 3632144117056 4313171139004 4759361256832 4929338444576 5308518324928 7264288234112 8626342278008 9858676889152 10617036649856 17252684556016 19717353778304 34505369112032 69010738224064 138021476448128
- Sum of all divisors σ(n): 378947089692000
- Sum of proper divisors (its aliquot sum) s(n): 240925613243872
- 138021476448128 is an abundant number, because the sum of its proper divisors (240925613243872) is greater than itself. Its abundance is 102904136795744
Bases of 138021476448128
- Binary: 111110110000111101000010001001100110111100000002
- Hexadecimal: 0x7D87A1133780
- Base-36: 1CXA6VGUWW
Squares and roots of 138021476448128
- 138021476448128 squared (1380214764481282) is 19049927960921152194674704384
- 138021476448128 cubed (1380214764481283) is 2629299183396813862801316129638536710193152
-
The
square root of 138021476448128 is 11748254.1872453543 -
The
cube root of 138021476448128 is 51679.1731273639
Scales and comparisons
How big is 138021476448128?- 138,021,476,448,128 seconds is equal to 4,388,656 years, 1 week, 1 day, 5 hours, 22 minutes, 8 seconds.
-
To count from 1 to 138,021,476,448,128 would take you about ten million, nine hundred seventy-one thousand, six 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 138021476448128 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138021476448128
- 138021476448128 backwards is 821844674120831
- The number of decimal digits it has is: 15
- The sum of 138021476448128's digits is 59
- More coming soon!
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The information we have on file for 138021476448128 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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