138538083033556640
138,538,083,033,556,640 is an even composite number composed of eight prime numbers multiplied together.
138538083033556640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138538083033556640:
25 × 5 × 72 × 17 × 127 × 313 × 577 × 45319
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 17 × 127 × 313 × 577 × 45319)See below for interesting mathematical facts about the number 138538083033556640 from the Numbermatics database.
Names of 138538083033556640
- Cardinal: 138538083033556640 can be written as One hundred thirty-eight quadrillion, five hundred thirty-eight trillion, eighty-three billion, thirty-three million, five hundred fifty-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3853808303355664 × 1017
Factors of 138538083033556640
Divisors of 138538083033556640
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 127 136 140 160 170 196 224 238 245 254 272 280 313 340 392 476 490 508 544 560 577 595 626 635 680 784 833 889 952 980 1016 1120 1154 1190 1252 1270 1360 1565 1568 1666 1778 1904 1960 2032 2159 2191 2308 2380 2504 2540 2720 2885 3130 3332 3556 3808 3920 4039 4064 4165 4318 4382 4445 4616 4760 5008 5080 5321 5770 6223 6260 6664 7112 7840 8078 8330 8636 8764 8890 9232 9520 9809 10016 10160 10642 10795 10955 11540 12446 12520 13328 14224 15113 15337 16156 16660 17272 17528 17780 18464 19040 19618 20195 20320 21284 21590 21910 23080 24892 25040 26605 26656 28273 28448 30226 30674 31115 32312 33320 34544 35056 35560 37247 39236 39751 40390 42568 43180 43820 45319 46160 49045 49784 50080 53210 56546 60452 61348 62230 64624 66640 68663 69088 70112 71120 73279 74494 75565 76685 78472 79502 80780 85136 86360 87640 90638 92320 98090 99568 105791 106420 113092 120904 122696 124460 129248 133280 137326 141365 142240 146558 148988 151130 153370 156944 159004 161560 170272 172720 175280 180601 181276 186235 196180 198755 199136 211582 212840 226184 226595 241808 245392 248920 260729 274652 278257 282730 293116 297976 302260 306740 313888 317233 318008 323120 343315 345440 350560 361202 362552 366395 372470 392360 397510 423164 425680 452368 453190 480641 483616 490784 497840 512953 521458 528955 549304 556514 565460 586232 595952 604520 613480 634466 636016 646240 675767 686630 722404 725104 732790 744940 770423 784720 795020 846328 851360 903005 904736 906380 961282 995680 1025906 1042916 1057910 1098608 1113028 1130920 1172464 1191904 1209040 1226960 1245743 1264207 1268932 1272032 1303645 1351534 1373260 1391285 1444808 1450208 1465580 1489880 1540846 1569440 1586165 1590040 1692656 1806010 1812760 1922564 1947799 2051812 2085832 2115820 2197216 2220631 2226056 2261840 2344928 2403205 2418080 2453920 2491486 2528414 2537864 2564765 2607290 2703068 2746520 2782570 2889616 2931160 2979760 3070217 3081692 3172330 3180080 3378835 3385312 3590671 3612020 3625520 3845128 3852115 3895598 4103624 4171664 4231640 4441262 4452112 4523680 4730369 4806410 4982972 5056828 5075728 5129530 5214580 5392961 5406136 5493040 5565140 5755513 5779232 5862320 5959520 6140434 6163384 6228715 6321035 6344660 6360160 6757670 7181342 7224040 7251040 7690256 7704230 7791196 8207248 8343328 8463280 8720201 8849449 8882524 8904224 9460738 9612820 9738995 9965944 10113656 10151456 10259060 10429160 10785922 10812272 10986080 11103155 11130280 11511026 11724640 12280868 12326768 12457430 12642070 12689320 13515340 14184847 14362684 14448080 15351085 15380512 15408460 15582392 16414496 16926560 17440402 17698898 17765048 17953355 18921476 19225640 19477990 19931888 20227312 20518120 20858320 21491519 21571844 21624544 22206310 22260560 22936327 23022052 23651845 24561736 24653536 24914860 25284140 25378640 26149063 26964805 27030680 28369694 28725368 28777565 28896160 30702170 30816920 31164784 33112583 34880804 35397796 35530096 35906710 37750727 37842952 38451280 38955980 39863776 40288591 40454624 41036240 41716640 42983038 43143688 43601005 44247245 44412620 44521120 45872654 46044104 47303690 49123472 49829720 50568280 50757280 52298126 53929610 54061360 56739388 57450736 57555130 61041407 61404340 61633840 62329568 66225166 69761608 70795592 70924235 71060192 71813420 75501454 75685904 76902560 77911960 80577182 82072480 85966076 86287376 87202010 88494490 88825240 91745308 92088208 94607380 97843721 98246944 99293929 99659440 101136560 104596252 107457595 107859220 108122720 113478776 114681635 114901472 115110260 122082814 122808680 123267680 130745315 132450332 139523216 141591184 141848470 143626840 150440633 151002908 151371808 155823920 160554289 161154364 165562915 171932152 172574752 174404020 176988980 177650480 183043441 183490616 184176416 188753635 189214760 195687442 198587858 199318880 201442955 202273120 209192504 214915190 215718440 226957552 229363270 230220520 241142399 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278278328446 282279135085 286462985165 288236091040 305695366256 306250846730 325451238098 327386268760 348514711664 353089211524 371944272112 378111281632 382119207820 383547386320 395190789119 401048179231 403530527456 428751185422 435643389580 436707666080 441361514405 451646616136 458340776264 464930340140 472639102040 490001354768 497878159520 504413159320 531348960160 556556656892 564558270170 572925970330 611390732512 612501693460 650902476196 654772537520 695695821115 697029423328 706178423048 743888544224 764238415640 767094772640 790381578238 802096358462 813628095245 857502370844 871286779160 882723028810 903293232272 916681552528 929860680280 945278204080 973974149561 980002709536 1008826318640 1039451403313 1071877963555 1113113313784 1129116540340 1145851940660 1225003386920 1301804952392 1309545075040 1391391642230 1412356846096 1500629148977 1528476831280 1580763156476 1604192716924 1627256190490 1715004741688 1742573558320 1765446057620 1806586464544 1833363105056 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16041927169240 16631222453008 17150047416880 17670673856321 19479482991220 20789028066260 22130684190664 22262266275680 24010066383632 26036099047840 27271276187708 27663355238330 29104639292764 30012582979540 31167172785952 31615263129520 32083854338480 33262444906016 34089095234635 34300094833760 35341347712642 36380799115955 38958965982440 41578056132520 44261368381328 48020132767264 50933118762337 54542552375416 55326710476660 58209278585528 60025165959080 63230526259040 64167708676960 68178190469270 70682695425284 72761598231910 77917931964880 83156112265040 88353369281605 88522736762656 101866237524674 109085104750832 110653420953320 116418557171056 120050331918160 123694716994247 136356380938540 141365390850568 145523196463820 155835863929760 166312224530080 176706738563210 203732475049348 218170209501664 221306841906640 232837114342112 240100663836320 247389433988494 254665593811685 272712761877080 282730781701136 291046392927640 353413477126420 407464950098696 442613683813280 494778867976988 509331187623370 545425523754160 565461563402272 582092785855280 618473584971235 706826954252840 814929900197392 865863018959729 989557735953976 1018662375246740 1090851047508320 1164185571710560 1236947169942470 1413653908505680 1629859800394784 1731726037919458 1979115471907952 2037324750493480 2473894339884940 2827307817011360 3463452075838916 3958230943815904 4074649500986960 4329315094798645 4947788679769880 6926904151677832 8149299001973920 8658630189597290 9895577359539760 13853808303355664 17317260379194580 19791154719079520 27707616606711328 34634520758389160 69269041516778320 138538083033556640
- Sum of all divisors σ(n): 408316112553000960
- Sum of proper divisors (its aliquot sum) s(n): 269778029519444320
- 138538083033556640 is an abundant number, because the sum of its proper divisors (269778029519444320) is greater than itself. Its abundance is 131239946485887680
Bases of 138538083033556640
- Binary: 1111011000010111110100111000010110001010000100110101000002
- Hexadecimal: 0x1EC2FA70B1426A0
- Base-36: 11W3NGQIVHY8
Squares and roots of 138538083033556640
- 138538083033556640 squared (1385380830335566402) is 19192800450612634156168288088089600
- 138538083033556640 cubed (1385380830335566403) is 2658933782473456406888923200945911339025110994944000
-
The
square root of 138538083033556640 is 372207043.2347521283 -
The
cube root of 138538083033556640 is 517435.7025717163
Scales and comparisons
How big is 138538083033556640?- 138,538,083,033,556,640 seconds is equal to 4,405,082,514 years, 2 weeks, 14 hours, 37 minutes, 20 seconds.
-
To count from 1 to 138,538,083,033,556,640 would take you about thirteen billion, two hundred fifteen million, two hundred forty-seven thousand, five hundred forty-two 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 138538083033556640 cubic inches would be around 43119.6 feet tall.
Recreational maths with 138538083033556640
- 138538083033556640 backwards is 046655330380835831
- The number of decimal digits it has is: 18
- The sum of 138538083033556640's digits is 71
- More coming soon!
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"Number 138538083033556640 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138538083033556640 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138538083033556640/
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The information we have on file for 138538083033556640 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 138538083033556640, math, Factors of 138538083033556640, curriculum, school, college, exams, university, Prime factorization of 138538083033556640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred thirty-eight trillion, eighty-three billion, thirty-three million, five hundred fifty-six thousand, six hundred forty.