138385404887184
138,385,404,887,184 is an even composite number composed of six prime numbers multiplied together.
What does the number 138385404887184 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138385404887184 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138385404887184:
24 × 33 × 7 × 13 × 372 × 1373
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 37 × 37 × 137 × 137 × 137)See below for interesting mathematical facts about the number 138385404887184 from the Numbermatics database.
Names of 138385404887184
- Cardinal: 138385404887184 can be written as One hundred thirty-eight trillion, three hundred eighty-five billion, four hundred four million, eight hundred eighty-seven thousand, one hundred eighty-four.
Scientific notation
- Scientific notation: 1.38385404887184 × 1014
Factors of 138385404887184
Divisors of 138385404887184
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 37 39 42 48 52 54 56 63 72 74 78 84 91 104 108 111 112 117 126 137 144 148 156 168 182 189 208 216 222 234 252 259 273 274 296 312 333 336 351 364 378 411 432 444 468 481 504 518 546 548 592 624 666 702 728 756 777 819 822 888 936 959 962 999 1008 1036 1092 1096 1233 1332 1369 1404 1443 1456 1512 1554 1638 1644 1776 1781 1872 1918 1924 1998 2072 2184 2192 2331 2457 2466 2664 2738 2808 2877 2886 3024 3108 3276 3288 3367 3562 3699 3836 3848 3996 4107 4144 4329 4368 4662 4914 4932 5069 5328 5343 5476 5616 5754 5772 6216 6552 6576 6734 6993 7124 7398 7672 7696 7992 8214 8631 8658 9324 9583 9828 9864 10101 10138 10686 10952 11508 11544 12321 12432 12467 12987 13104 13468 13986 14248 14796 15207 15344 15984 16029 16428 17262 17316 17797 18648 18769 19166 19656 19728 20202 20276 21372 21904 23016 23088 24642 24934 25893 25974 26936 27972 28496 28749 29592 30303 30414 32058 32856 34524 34632 35483 35594 36963 37296 37401 37538 38332 39312 40404 40552 42744 45621 46032 48087 49284 49868 51786 51948 53391 53872 55944 56307 57498 59184 60606 60828 64116 65712 65897 69048 69264 70966 71188 73926 74802 75076 76664 80808 81104 85488 86247 90909 91242 96174 98568 99736 103572 103896 106449 106782 111888 112203 112614 114996 121212 121656 124579 128232 131383 131794 136863 138096 141932 142376 147852 149604 150152 153328 160173 161616 168921 172494 181818 182484 187553 192348 197136 197691 199472 207144 207792 212898 213564 224406 225228 229992 242424 243312 243997 249158 256464 258741 262766 263588 273726 283864 284752 295704 299208 300304 319347 320346 336609 337842 344988 363636 364968 373737 375106 384696 394149 395382 414288 425796 427128 448812 450456 459984 461279 480519 484848 487994 498316 506763 517482 525532 527176 547452 562659 567728 591408 593073 598416 638694 640692 673218 675684 689976 694453 727272 729936 731991 747474 750212 769392 788298 790764 851592 854256 897624 900912 922558 958041 961038 975988 996632 1013526 1034964 1051064 1054352 1094904 1121211 1125318 1182447 1186146 1277388 1281384 1312871 1346436 1351368 1379952 1383837 1388906 1454544 1463982 1494948 1500424 1576596 1581528 1687977 1703184 1707979 1779219 1795248 1845116 1916082 1922076 1951976 1993264 2027052 2069928 2083359 2102128 2189808 2195973 2242422 2250636 2364894 2372292 2438189 2554776 2562768 2571353 2625742 2692872 2702736 2767674 2777812 2927964 2989896 3000848 3153192 3163056 3363633 3375954 3415958 3547341 3558438 3690232 3832164 3844152 3903952 3938613 4054104 4139856 4151511 4166718 4391946 4484844 4501272 4729788 4744584 4861171 4876378 5063931 5109552 5123937 5142706 5251484 5385744 5535348 5555624 5855928 5979792 6250077 6306384 6587919 6727266 6751908 6831916 7094682 7116876 7314567 7380464 7664328 7688304 7714059 7877226 8108208 8303022 8333436 8783892 8969688 9002544 9027889 9459576 9489168 9722342 9752756 10127862 10247874 10285412 10502968 11070696 11111248 11711856 11815839 12454533 12500154 13175838 13454532 13503816 13663832 14189364 14233752 14583513 14629134 15328656 15371811 15428118 15754452 16606044 16666872 17067323 17567784 17939376 17999471 18055778 18750231 18919152 19444684 19505512 20255724 20495748 20570824 21005936 21943701 22141392 23142177 23631678 24909066 25000308 25694761 26351676 26909064 27007632 27083667 27327664 28378728 28467504 29167026 29258268 30743622 30856236 31508904 33212088 33333744 33427589 34134646 35135568 35447517 35998942 36111556 37500462 38889368 39011024 40511448 40991496 41141648 43750539 43887402 46115433 46284354 47263356 49818132 50000616 51201969 51389522 52703352 53818128 53998413 54167334 56757456 58334052 58516536 61487244 61712472 63017808 63195223 65831103 66424176 66855178 68269292 69426531 70895034 71997884 72223112 75000924 77084283 77778736 81022896 81251001 81982992 87501078 87774804 92230866 92568708 94526712 95140061 99636264 100001232 100282767 102403938 102779044 105406704 107996826 108334668 116668104 117033072 122974488 123424944 126390446 131251617 131662206 133710356 136538584 138853062 141790068 143995768 144446224 150001848 153605907 154168566 161995239 162502002 175002156 175549608 179863327 184461732 185137416 189053424 189585669 190280122 199272528 200565534 204807876 205558088 215993652 216669336 231252849 233336208 233993123 243753003 245948976 252780892 262503234 263324412 267420712 273077168 277706124 283580136 285420183 287991536 300003696 300848301 307211814 308337132 323990478 325004004 334031893 350004312 351099216 359726654 368923464 370274832 379171338 380560244 401131068 409615752 411116176 431987304 433338672 460817721 462505698 467986246 485985717 487506006 505561784 525006468 526648824 534841424 539589981 555412248 567160272 568757007 570840366 601696602 614423628 616674264 647980956 650008008 665980427 668063786 693758547 700008624 701979369 719453308 737846928 758342676 761120488 802262136 819231504 856260549 863974608 902544903 921635442 925011396 935972492 971971434 975012012 1002095679 1011123568 1050012936 1053297648 1079179962 1110824496 1137514014 1141680732 1203393204 1228847256 1233348528 1236820793 1295961912 1300016016 1331960854 1336127572 1387517094 1403958738 1438906616 1516685352 1522240976 1604524272 1618769943 1706271021 1712521098 1805089806 1843270884 1850022792 1871944984 1943942868 1950024024 1997941281 2004191358 2100025872 2105938107 2158359924 2275028028 2283361464 2338223251 2406786408 2457694512 2473641586 2568781647 2591923824 2663921708 2672255144 2775034188 2807917476 2877813232 3006287037 3033370704 3237539886 3412542042 3425042196 3520182257 3610179612 3686541768 3700045584 3710462379 3743889968 3887885736 3900048048 3995882562 4008382716 4211876214 4316719848 4550056056 4566722928 4676446502 4813572816 4856309829 4947283172 5137563294 5327843416 5344510288 5550068376 5615834952 5993823843 6012574074 6317814321 6475079772 6825084084 6850084392 7014669753 7040364514 7220359224 7373083536 7420924758 7775771472 7991765124 8016765432 8423752428 8633439696 8657745551 9018861111 9100112112 9352893004 9712619658 9894566344 10275126588 10560546771 10655686832 11100136752 11131387137 11231669904 11987647686 12025148148 12635628642 12950159544 13650168168 13700168784 14029339506 14080729028 14440718448 14841849516 15983530248 16033530864 16847504856 17315491102 17981471529 18037722222 18705786008 19425239316 19789132688 20550253176 21044009259 21121093542 22262774274 23975295372 24050296296 24641275799 25271257284 25900319088 25973236653 27300336336 28058679012 28161458056 29683699032 31681640313 31967060496 33394161411 33695009712 34630982204 35962943058 36075444444 37411572016 38850478632 41100506352 42088018518 42242187084 44525548548 45762369341 47950590744 48100592592 49282551598 50542514568 51946473306 56117358024 56322916112 59367398064 63132027777 63363280626 66788322822 69261964408 71925886116 72150888888 73923827397 77700957264 77919709959 84176037036 84484374168 89051097096 91524738682 95044920939 95901181488 98565103196 101085029136 103892946612 112234716048 126264055554 126726561252 133576645644 137287108023 138523928816 143851772232 144301777776 147847654794 155839419918 168352074072 168968748336 178102194192 183049477364 190089841878 197130206392 207785893224 221771482191 233759129877 252528111108 253453122504 267153291288 274574216046 287703544464 295695309588 311678839836 320336585387 336704148144 366098954728 380179683756 394260412784 411861324069 415571786448 443542964382 467518259754 505056222216 506906245008 534306582576 549148432092 591390619176 623357679672 640673170774 665314446573 732197909456 760359367512 823722648138 887085928764 935036519508 961009756161 1010112444432 1098296864184 1182781238352 1235583972207 1246715359344 1281346341548 1330628893146 1520718735024 1647445296276 1774171857528 1870073039016 1922019512322 2196593728368 2471167944414 2562692683096 2661257786292 2883029268483 3294890592552 3548343715056 3740146078032 3844039024644 4942335888828 5125385366192 5322515572584 5766058536966 6589781185104 7688078049288 8649087805449 9884671777656 10645031145168 11532117073932 15376156098576 17298175610898 19769343555312 23064234147864 34596351221796 46128468295728 69192702443592 138385404887184
- Sum of all divisors σ(n): 506147579481600
- Sum of proper divisors (its aliquot sum) s(n): 367762174594416
- 138385404887184 is an abundant number, because the sum of its proper divisors (367762174594416) is greater than itself. Its abundance is 229376769707232
Bases of 138385404887184
- Binary: 111110111011100010111001110011010000000100100002
- Hexadecimal: 0x7DDC5CE68090
- Base-36: 1D1XDL2BO0
Squares and roots of 138385404887184
- 138385404887184 squared (1383854048871842) is 19150520285789849311767449856
- 138385404887184 cubed (1383854048871843) is 2650152503549258945336242174183395057045504
-
The
square root of 138385404887184 is 11763732.6086231661 -
The
cube root of 138385404887184 is 51724.5549891967
Scales and comparisons
How big is 138385404887184?- 138,385,404,887,184 seconds is equal to 4,400,227 years, 42 weeks, 4 days, 22 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,385,404,887,184 would take you about eleven million, five hundred sixty-nine 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 138385404887184 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138385404887184
- 138385404887184 backwards is 481788404583831
- 138385404887184 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138385404887184's digits is 72
- More coming soon!
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The information we have on file for 138385404887184 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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