138768211520064
138,768,211,520,064 is an even composite number composed of four prime numbers multiplied together.
What does the number 138768211520064 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1323 divisors.
138768211520064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty-three divisors.
Prime factorization of 138768211520064:
26 × 38 × 76 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 53 × 53)See below for interesting mathematical facts about the number 138768211520064 from the Numbermatics database.
Names of 138768211520064
- Cardinal: 138768211520064 can be written as One hundred thirty-eight trillion, seven hundred sixty-eight billion, two hundred eleven million, five hundred twenty thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38768211520064 × 1014
Factors of 138768211520064
Divisors of 138768211520064
- Number of divisors d(n): 1323
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 81 84 96 98 106 108 112 126 144 147 159 162 168 189 192 196 212 216 224 243 252 288 294 318 324 336 343 371 378 392 424 432 441 448 477 486 504 567 576 588 636 648 672 686 729 742 756 784 848 864 882 954 972 1008 1029 1113 1134 1176 1272 1296 1323 1344 1372 1431 1458 1484 1512 1568 1696 1701 1728 1764 1908 1944 2016 2058 2187 2226 2268 2352 2401 2544 2592 2597 2646 2744 2809 2862 2916 2968 3024 3087 3136 3339 3392 3402 3528 3816 3888 3969 4032 4116 4293 4374 4452 4536 4704 4802 5088 5103 5184 5194 5292 5488 5618 5724 5832 5936 6048 6174 6561 6678 6804 7056 7203 7632 7776 7791 7938 8232 8427 8586 8748 8904 9072 9261 9408 9604 10017 10176 10206 10388 10584 10976 11236 11448 11664 11872 11907 12096 12348 12879 13122 13356 13608 14112 14406 15264 15309 15552 15582 15876 16464 16807 16854 17172 17496 17808 18144 18179 18522 19208 19663 20034 20412 20776 21168 21609 21952 22472 22896 23328 23373 23744 23814 24696 25281 25758 26244 26712 27216 27783 28224 28812 30051 30528 30618 31164 31752 32928 33614 33708 34344 34992 35616 35721 36288 36358 37044 38416 38637 39326 40068 40824 41552 42336 43218 44944 45792 45927 46656 46746 47628 49392 50421 50562 51516 52488 53424 54432 54537 55566 57624 58989 60102 61236 62328 63504 64827 65856 67228 67416 68688 69984 70119 71232 71442 72716 74088 75843 76832 77274 78652 80136 81648 83104 83349 84672 86436 89888 90153 91584 91854 93492 95256 98784 100842 101124 103032 104976 106848 107163 108864 109074 111132 115248 115911 117649 117978 120204 122472 124656 127008 127253 129654 134456 134832 137376 137641 139968 140238 142884 145432 148176 151263 151686 153664 154548 157304 160272 163296 163611 166208 166698 172872 176967 179776 180306 183708 186984 190512 194481 197568 201684 202248 206064 209952 210357 213696 214326 218148 222264 227529 230496 231822 235298 235956 240408 244944 249312 250047 254016 254506 259308 268912 269664 270459 274752 275282 280476 285768 290864 296352 302526 303372 309096 314608 320544 321489 326592 327222 333396 345744 347733 352947 353934 360612 367416 373968 381024 381759 388962 403368 404496 412128 412923 419904 420714 428652 436296 444528 453789 455058 460992 463644 470596 471912 480816 489888 490833 498624 500094 509012 518616 530901 537824 539328 540918 550564 560952 571536 581728 583443 592704 605052 606744 618192 629216 631071 641088 642978 654444 666792 682587 691488 695466 705894 707868 721224 734832 747936 750141 762048 763518 777924 806736 808992 811377 824256 825846 841428 857304 872592 889056 890771 907578 910116 927288 941192 943824 961632 963487 979776 981666 1000188 1018024 1037232 1058841 1061802 1075648 1081836 1101128 1121904 1143072 1145277 1163456 1166886 1210104 1213488 1236384 1238769 1258432 1262142 1285956 1308888 1333584 1361367 1365174 1382976 1390932 1411788 1415736 1442448 1469664 1472499 1495872 1500282 1527036 1555848 1592703 1613472 1617984 1622754 1651692 1682856 1714608 1745184 1750329 1778112 1781542 1815156 1820232 1854576 1882384 1887648 1893213 1923264 1926974 1963332 2000376 2036048 2047761 2074464 2117682 2123604 2163672 2202256 2243808 2250423 2286144 2290554 2333772 2420208 2426976 2434131 2472768 2477538 2524284 2571912 2617776 2667168 2672313 2722734 2730348 2781864 2823576 2831472 2884896 2890461 2939328 2944998 3000564 3054072 3111696 3176523 3185406 3226944 3245508 3303384 3365712 3429216 3435831 3490368 3500658 3563084 3630312 3640464 3709152 3716307 3764768 3775296 3786426 3853948 3926664 4000752 4072096 4084101 4095522 4148928 4235364 4247208 4327344 4404512 4417497 4487616 4500846 4581108 4667544 4778109 4840416 4853952 4868262 4955076 5048568 5143824 5235552 5250987 5334336 5344626 5445468 5460696 5563728 5647152 5662944 5679639 5769792 5780922 5889996 6001128 6108144 6143283 6223392 6235397 6353046 6370812 6491016 6606768 6731424 6744409 6858432 6871662 7001316 7126168 7260624 7280928 7418304 7432614 7529536 7572852 7707896 7853328 8001504 8016939 8144192 8168202 8191044 8470728 8494416 8654688 8671383 8809024 8834994 9001692 9162216 9335088 9529569 9556218 9680832 9736524 9910152 10097136 10287648 10307493 10471104 10501974 10689252 10890936 10921392 11127456 11148921 11294304 11325888 11359278 11561844 11779992 12002256 12216288 12252303 12286566 12446784 12470794 12706092 12741624 12982032 13213536 13252491 13462848 13488818 13743324 14002632 14252336 14334327 14521248 14561856 14865228 15145704 15415792 15706656 15752961 16003008 16033878 16336404 16382088 16941456 16988832 17038917 17309376 17342766 17669988 18003384 18324432 18429849 18670176 18706191 19059138 19112436 19473048 19820304 20194272 20233227 20575296 20614986 21003948 21378504 21781872 21842784 22254912 22297842 22588608 22718556 23123688 23559984 24004512 24050817 24432576 24504606 24573132 24941588 25412184 25483248 25964064 26014149 26427072 26504982 26977636 27486648 28005264 28504672 28588707 28668654 29042496 29730456 30291408 30831584 30922479 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457419312 458698464 468254682 477089676 485597448 494759664 504094752 505067157 513084096 514596726 516035772 535148208 545245344 546297129 554968512 556604622 566530356 577219608 588110544 589755168 598598112 602041734 609892416 624339576 636119568 647463264 649372059 659679552 660952082 673422876 686128968 688047696 702382023 713530944 728396172 742139496 755373808 769626144 771895089 784147392 802722312 832452768 834906933 848159424 849795534 865829412 882165816 897897168 903062601 914838624 917396928 936509364 954179352 971194896 989519328 991428123 1008189504 1010134314 1029193452 1032071544 1070296416 1090490688 1092594258 1113209244 1133060712 1154439216 1176221088 1179510336 1197196224 1204083468 1248679152 1272239136 1274693301 1294926528 1298744118 1321904164 1346845752 1372257936 1376095392 1404764046 1456792344 1484278992 1510747616 1515201471 1539252288 1543790178 1605444624 1638891387 1664905536 1669813866 1699591068 1731658824 1764331632 1795794336 1806125202 1829677248 1873018728 1908358704 1942389792 1948116177 1979038656 1982856246 2020268628 2058386904 2064143088 2107146069 2140592832 2185188516 2226418488 2266121424 2308878432 2352442176 2408166936 2497358304 2544478272 2549386602 2597488236 2643808328 2693691504 2744515872 2752190784 2809528092 2913584688 2968557984 2974284369 3021495232 3030402942 3087580356 3210889248 3277782774 3339627732 3399182136 3463317648 3528663264 3591588672 3612250404 3746037456 3816717408 3824079903 3884779584 3896232354 3965712492 4040537256 4116773808 4128286176 4214292138 4370377032 4452836976 4532242848 4545604413 4617756864 4816333872 4916674161 4994716608 5098773204 5194976472 5287616656 5387383008 5489031744 5619056184 5827169376 5844348531 5937115968 5948568738 6060805884 6175160712 6321438207 6421778496 6555565548 6679255464 6798364272 6926635296 7057326528 7224500808 7492074912 7633434816 7648159806 7792464708 7931424984 8081074512 8233547616 8256572352 8428584276 8740754064 8905673952 8922853107 9064485696 9091208826 9632667744 9833348322 10197546408 10389952944 10575233312 10774766016 11238112368 11472239709 11654338752 11688697062 11897137476 12121611768 12350321424 12642876414 13111131096 13358510928 13596728544 13636813239 13853270592 14449001616 14750022483 14984149824 15296319612 15584929416 15862849968 16162149024 16467095232 16857168552 17481508128 17811347904 17845706214 18182417652 19265335488 19666696644 20395092816 20779905888 21150466624 22476224736 22944479418 23377394124 23794274952 24243223536 24700642848 25285752828 26222262192 26717021856 26768559321 27193457088 27273626478 28898003232 29500044966 30592639224 31169858832 31725699936 32324298048 33714337104 34416719127 34963016256 35691412428 36364835304 39333393288 40790185632 40910439717 41559811776 44250067449 44952449472 45888958836 46754788248 47588549904 48486447072 49401285696 50571505656 52444524384 53434043712 53537118642 54547252956 57796006464 59000089932 61185278448 62339717664 63451399872 67428674208 68833438254 71382824856 72729670608 78666786576 80305677963 81580371264 81820879434 88500134898 91777917672 93509576496 95177099808 96972894144 101143011312 103250157381 104889048768 107074237284 109094505912 118000179864 122370556896 124679435328 134857348416 137666876508 142765649712 145459341216 157333573152 160611355926 163641758868 177000269796 183555835344 187019152992 190354199616 202286022624 206500314762 214148474568 218189011824 236000359728 240917033889 244741113792 275333753016 285531299424 290918682432 309750472143 314667146304 321222711852 327283517736 354000539592 367111670688 374038305984 404572045248 413000629524 428296949136 436378023648 472000719456 481834067778 550667506032 571062598848 619500944286 642445423704 654567035472 708001079184 722751101667 734223341376 826001259048 856593898272 872756047296 944001438912 963668135556 1101335012064 1239001888572 1284890847408 1309134070944 1416002158368 1445502203334 1652002518096 1713187796544 1927336271112 2168253305001 2202670024128 2478003777144 2569781694816 2618268141888 2832004316736 2891004406668 3304005036192 3854672542224 4336506610002 4956007554288 5139563389632 5782008813336 6608010072384 7709345084448 8673013220004 9912015108576 11564017626672 15418690168896 17346026440008 19824030217152 23128035253344 34692052880016 46256070506688 69384105760032 138768211520064
- Sum of all divisors σ(n): 491132646159337
- Sum of proper divisors (its aliquot sum) s(n): 352364434639273
- 138768211520064 is an abundant number, because the sum of its proper divisors (352364434639273) is greater than itself. Its abundance is 213596223119209
Bases of 138768211520064
- Binary: 111111000110101011111011111010000101010010000002
- Hexadecimal: 0x7E357DF42A40
- Base-36: 1D6T8I9000
Squares and roots of 138768211520064
- 138768211520064 squared (1387682115200642) is 19256616528477223041474564096
- 138768211520064 cubed (1387682115200643) is 2672206235584487813979382585448179958022144
-
138768211520064 is a
perfect square number . Itssquare root is 11779992 -
The
cube root of 138768211520064 is 51772.2051806721
Scales and comparisons
How big is 138768211520064?- 138,768,211,520,064 seconds is equal to 4,412,399 years, 46 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,768,211,520,064 would take you about eleven million, thirty thousand, nine hundred ninety-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 138768211520064 cubic inches would be around 4314.4 feet tall.
Recreational maths with 138768211520064
- 138768211520064 backwards is 460025112867831
- 138768211520064 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138768211520064's digits is 54
- More coming soon!
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The information we have on file for 138768211520064 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!
Keywords: Divisors of 138768211520064, math, Factors of 138768211520064, curriculum, school, college, exams, university, Prime factorization of 138768211520064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred sixty-eight billion, two hundred eleven million, five hundred twenty thousand and sixty-four.