40138907461632
40,138,907,461,632 is an even composite number composed of six prime numbers multiplied together.
40138907461632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 40138907461632:
211 × 32 × 73 × 192 × 43 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 19 × 19 × 43 × 409)See below for interesting mathematical facts about the number 40138907461632 from the Numbermatics database.
Names of 40138907461632
- Cardinal: 40138907461632 can be written as Forty trillion, one hundred thirty-eight billion, nine hundred seven million, four hundred sixty-one thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.0138907461632 × 1013
Factors of 40138907461632
Divisors of 40138907461632
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 43 48 49 56 57 63 64 72 76 84 86 96 98 112 114 126 128 129 133 144 147 152 168 171 172 192 196 224 228 252 256 258 266 288 294 301 304 336 342 343 344 361 384 387 392 399 409 441 448 456 504 512 516 532 576 588 602 608 672 684 686 688 722 768 774 784 798 817 818 882 896 903 912 931 1008 1024 1029 1032 1064 1083 1152 1176 1197 1204 1216 1227 1344 1368 1372 1376 1444 1536 1548 1568 1596 1634 1636 1764 1792 1806 1824 1862 2016 2048 2058 2064 2107 2128 2166 2304 2352 2394 2408 2432 2451 2454 2527 2688 2709 2736 2744 2752 2793 2863 2888 3072 3087 3096 3136 3192 3249 3268 3272 3528 3584 3612 3648 3681 3724 4032 4116 4128 4214 4256 4332 4608 4704 4788 4816 4864 4902 4908 5054 5376 5418 5472 5488 5504 5586 5719 5726 5776 6144 6174 6192 6272 6321 6384 6498 6517 6536 6544 7056 7168 7224 7296 7353 7362 7448 7581 7771 8064 8232 8256 8379 8428 8512 8589 8664 9216 9408 9576 9632 9728 9804 9816 10108 10752 10836 10944 10976 11008 11172 11438 11452 11552 12348 12384 12544 12642 12768 12996 13034 13072 13088 14112 14336 14448 14592 14706 14724 14749 14896 15162 15523 15542 16128 16464 16512 16758 16856 17024 17157 17178 17328 17587 17689 18432 18816 18963 19152 19264 19456 19551 19608 19632 20041 20216 21504 21672 21888 21952 22016 22344 22743 22876 22904 23104 23313 24696 24768 25088 25284 25536 25767 25992 26068 26144 26176 28224 28896 29184 29412 29448 29498 29792 30324 31046 31084 32256 32928 33024 33516 33712 34048 34314 34356 34656 35174 35378 37632 37926 38304 38528 38912 39102 39216 39264 40033 40082 40432 43008 43344 43776 43904 44032 44247 44688 45486 45752 45808 46208 46569 46626 49392 49536 50176 50568 51072 51471 51534 51984 52136 52288 52352 52761 53067 54397 56448 57792 58368 58653 58824 58896 58996 59584 60123 60648 62092 62168 64512 65856 66048 67032 67424 68096 68628 68712 69312 69939 70348 70756 75264 75852 76608 77056 78204 78432 78528 80066 80164 80864 86688 87552 87808 88064 88494 89376 90972 91504 91616 92416 93138 93252 98784 99072 100352 101136 102144 102942 103068 103968 104272 104576 104704 105522 106134 108661 108794 112896 115584 116736 117306 117648 117792 117992 119168 120099 120246 121296 123109 123823 124184 124336 129024 131712 132096 132741 134064 134848 136192 137256 137424 138624 139707 139878 140287 140696 141512 147649 150528 151704 153216 154112 156408 156864 157056 158283 159201 160132 160328 161728 163191 173376 175104 175616 176988 178752 180369 181944 183008 183232 184832 186276 186504 197568 198144 202272 204288 205884 206136 207936 208544 209152 209408 211044 212268 217322 217588 225792 231168 234612 235296 235584 235984 238336 240198 240492 242592 246218 247646 248368 248672 263424 264192 265482 268128 269696 272384 274512 274848 277248 279414 279756 280231 280574 281392 283024 295298 301056 303408 306432 308224 312816 313728 314112 316566 318402 320264 320656 323456 325983 326382 334153 346752 350208 351232 353976 357504 360297 360738 363888 366016 366464 369327 369664 371469 372552 373008 380779 395136 396288 404544 408576 411768 412272 415872 417088 418304 418816 420861 422088 424536 434644 435176 442947 451584 462336 469224 470592 471168 471968 476672 480396 480984 485184 489573 492436 495292 496736 497344 526848 530964 536256 539392 549024 549696 554496 558828 559512 560462 561148 562784 566048 590596 606816 612864 616448 625632 627456 628224 633132 636804 640528 641312 646912 651966 652764 668306 693504 702464 707952 715008 720594 721476 727776 732032 732928 738654 739328 742938 745104 746016 760627 761558 790272 792576 809088 817152 823536 824544 831744 834176 836608 837632 840693 841722 844176 849072 861763 869288 870352 885894 903168 924672 938448 941184 942336 943936 953344 960792 961968 970368 977949 979146 984872 990584 993472 994688 1002459 1033543 1053696 1061928 1072512 1078784 1098048 1099392 1107981 1108992 1114407 1117656 1119024 1120924 1122296 1125568 1132096 1142337 1181192 1213632 1225728 1251264 1254912 1256448 1262583 1266264 1273608 1281056 1282624 1293824 1303932 1305528 1328841 1336612 1387008 1415904 1430016 1441188 1442952 1455552 1464064 1465856 1477308 1485876 1490208 1492032 1521254 1523116 1580544 1618176 1647072 1649088 1663488 1668352 1673216 1681386 1683444 1688352 1698144 1723526 1738576 1740704 1771788 1849344 1876896 1882368 1884672 1887872 1906688 1921584 1923936 1940736 1955898 1958292 1969744 1981168 1986944 1989376 2004918 2067086 2107392 2123856 2145024 2157568 2196096 2198784 2215962 2217984 2228814 2235312 2238048 2241848 2244592 2251136 2264192 2281881 2284674 2339071 2362384 2427264 2451456 2502528 2509824 2512896 2522079 2525166 2532528 2547216 2562112 2565248 2585289 2587648 2607864 2611056 2657682 2665453 2673224 2774016 2831808 2860032 2882376 2885904 2911104 2928128 2931712 2954616 2971752 2980416 2984064 3007377 3042508 3046232 3100629 3161088 3236352 3294144 3298176 3326976 3336704 3362772 3366888 3376704 3396288 3427011 3447052 3477152 3481408 3543576 3753792 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10248448 10260992 10341156 10431456 10444224 10630728 10648778 10661812 10692896 11327232 11529504 11543616 11644416 11712512 11818464 11887008 11921664 11936256 12029508 12064682 12170032 12184928 12402516 12697814 12945408 13176576 13192704 13346816 13451088 13467552 13506816 13585152 13691286 13708044 13788208 13908608 13925632 14034426 14174304 14469602 15015168 15058944 15102976 15372672 15391488 15511734 15525888 15647184 15666336 15757952 15849344 15895552 15915008 15973167 15992718 16039344 16373497 16536688 16990848 17160192 17568768 17590272 17727696 17830512 17882496 17904384 17934784 17956736 18009088 18097023 18113536 18255048 18277392 18603774 18712568 18899072 19046721 19418112 20020224 20176632 20201328 20260224 20377728 20496896 20521984 20682312 20862912 20888448 21051639 21261456 21297556 21323624 21385792 21704403 22654464 23059008 23087232 23288832 23636928 23774016 23843328 23872512 23989077 24059016 24129364 24340064 24369856 24805032 25395628 26353152 26385408 26902176 26935104 27013632 27170304 27382572 27416088 27576416 27817216 27851264 28068852 28348608 28939204 30030336 30205952 30745344 30782976 31023468 31294368 31332672 31515904 31698688 31791104 31946334 31985436 32078688 32746994 33073376 33981696 35137536 35455392 35661024 35764992 35808768 35869568 35913472 36018176 36194046 36227072 36510096 36554784 37207548 37425136 37798144 38093442 38836224 40040448 40353264 40402656 40520448 40755456 40993792 41043968 41364624 41725824 41776896 42103278 42522912 42595112 42647248 42771584 43408806 44442349 45308928 46118016 46174464 46577664 47273856 47548032 47686656 47745024 47919501 47978154 48118032 48258728 48680128 48739712 49120491 49610064 50643607 50791256 52706304 52770816 53804352 53870208 54027264 54291069 54340608 54765144 54832176 55152832 55634432 55702528 56137704 56697216 57140163 57878408 60060672 61490688 61565952 62046936 62588736 62665344 63031808 63397376 63892668 63970872 64157376 65113209 65493988 66146752 67963392 70910784 71322048 71529984 71617536 71739136 71826944 72388092 73020192 73109568 74415096 74850272 75596288 76186884 80706528 80805312 81040896 81510912 81987584 82729248 83451648 83553792 84206556 85045824 85190224 85294496 85543168 86817612 88884698 90617856 92236032 92348928 94547712 95096064 95373312 95839002 95956308 96236064 96517456 97360256 97479424 98240982 99220128 101287214 101582512 105412608 107608704 107740416 108054528 108582138 108681216 109530288 109664352 110305664 111268864 111405056 112275408 113394432 114280326 114614479 115756816 120121344 122981376 123131904 124093872 125177472 125330688 126063616 126794752 127785336 127941744 128314752 130226418 130987976 132293504 133327047 135926784 141821568 142644096 143059968 143235072 143478272 143653888 144776184 146040384 146219136 147361473 148830192 149700544 151192576 151930821 152373768 161413056 161610624 162081792 163021824 165458496 166903296 167107584 168413112 170091648 170380448 170588992 171086336 173635224 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501322752 511141344 511766976 513259008 520905672 523951904 529174016 533308188 567286272 570576384 573913088 579104736 584161536 584876544 589445892 595320768 598802176 607723284 609495072 622192886 645652224 646442496 661833984 667613184 673652448 680366592 681521792 682355968 684345344 687686874 694540896 711077584 737888256 756381696 760768512 766712016 767650464 769888512 772139648 778882048 779835392 785927856 793761024 799962282 810297712 812660096 860869632 861923328 868657104 876242304 877314816 882445312 898203264 907155456 911584926 914242608 916915832 926054528 933289329 992750976 1001419776 1002645504 1022282688 1023533952 1026518016 1031530311 1041811344 1047903808 1058348032 1066616376 1134572544 1141152768 1158209472 1168323072 1169753088 1178891784 1190641536 1197604352 1215446568 1218990144 1244385772 1291304448 1292884992 1323667968 1347304896 1360733184 1363043584 1364711936 1375373748 1389081792 1422155168 1533424032 1535300928 1539777024 1544279296 1557764096 1571855712 1587522048 1599924564 1620595424 1625320192 1721739264 1737314208 1752484608 1754629632 1764890624 1796406528 1823169852 1828485216 1833831664 1852109056 1866578658 1985501952 2002839552 2044565376 2047067904 2053036032 2063060622 2083622688 2095807616 2116696064 2133232752 2177675101 2269145088 2282305536 2316418944 2336646144 2339506176 2357783568 2381283072 2395208704 2430893136 2437980288 2488771544 2582608896 2585769984 2647335936 2694609792 2721466368 2726087168 2729423872 2750747496 2778163584 2799867987 2844310336 3066848064 3070601856 3079554048 3088558592 3143711424 3175044096 3199849128 3241190848 3250640384 3474628416 3504969216 3509259264 3592813056 3646339704 3656970432 3667663328 3704218112 3733157316 3971003904 4089130752 4094135808 4126121244 4167245376 4191615232 4266465504 4355350202 4632837888 4673292288 4715567136 4762566144 4790417408 4861786272 4875960576 4977543088 5165217792 5294671872 5389219584 5452174336 5458847744 5501494992 5556327168 5599735974 5688620672 6133696128 6141203712 6159108096 6177117184 6287422848 6350088192 6399698256 6482381696 6501280768 6533025303 6949256832 7009938432 7018518528 7185626112 7292679408 7313940864 7335326656 7408436224 7466314632 7942007808 8178261504 8188271616 8252242488 8334490752 8383230464 8532931008 8710700404 9265675776 9431134272 9525132288 9723572544 9751921152 9955086176 10778439168 10904348672 11002989984 11112654336 11199471948 11377241344 12267392256 12282407424 12354234368 12574845696 12799396512 12964763392 13002561536 13066050606 13898513664 14019876864 14371252224 14585358816 14627881728 14670653312 14816872448 14932629264 15884015616 16356523008 16376543232 16504484976 16668981504 16766460928 17065862016 17421400808 18531351552 18862268544 19050264576 19447145088 19503842304 19599075909 19910172352 21556878336 22005979968 22225308672 22398943896 22754482688 24534784512 24564814848 25149691392 25598793024 25929526784 26132101212 27797027328 29170717632 29255763456 29341306624 29865258528 32713046016 33008969952 33337963008 33532921856 34131724032 34842801616 37062703104 37724537088 38894290176 39007684608 39198151818 39820344704 43113756672 44011959936 44450617344 44797887792 45508965376 49069569024 49129629696 50299382784 51197586048 51859053568 52264202424 55594054656 58341435264 58511526912 58682613248 59730517056 66017939904 66675926016 68263448064 69685603232 75449074176 77788580352 78396303636 79640689408 88023919872 89595775584 91017930752 98139138048 100598765568 102395172096 103718107136 104528404848 111188109312 116682870528 117023053824 117365226496 119461034112 132035879808 133351852032 136526896128 139371206464 150898148352 155577160704 156792607272 159281378816 176047839744 179191551168 204790344192 209056809696 233365741056 234730452992 238922068224 264071759616 273053792256 278742412928 301796296704 311154321408 313585214544 318562757632 352095679488 358383102336 409580688384 418113619392 466731482112 477844136448 528143519232 557484825856 627170429088 637125515264 704191358976 716766204672 819161376768 836227238784 933462964224 955688272896 1056287038464 1114969651712 1254340858176 1433532409344 1672454477568 1911376545792 2112574076928 2229939303424 2508681716352 2867064818688 3344908955136 4459878606848 5017363432704 5734129637376 6689817910272 10034726865408 13379635820544 20069453730816 40138907461632
- Sum of all divisors σ(n): 146358772560000
- Sum of proper divisors (its aliquot sum) s(n): 106219865098368
- 40138907461632 is an abundant number, because the sum of its proper divisors (106219865098368) is greater than itself. Its abundance is 66080957636736
Bases of 40138907461632
- Binary: 10010010000001100100010101001000101000000000002
- Hexadecimal: 0x248191522800
- Base-36: E87K55A80
Squares and roots of 40138907461632
- 40138907461632 squared (401389074616322) is 1611131892213457045552103424
- 40138907461632 cubed (401389074616323) is 64669073930040014166193245842626175827968
-
The
square root of 40138907461632 is 6335527.4020109801 -
The
cube root of 40138907461632 is 34239.0612657883
Scales and comparisons
How big is 40138907461632?- 40,138,907,461,632 seconds is equal to 1,276,293 years, 5 weeks, 1 day, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 40,138,907,461,632 would take you about three million, one hundred ninety thousand, seven hundred thirty-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 40138907461632 cubic inches would be around 2853.3 feet tall.
Recreational maths with 40138907461632
- 40138907461632 backwards is 23616470983104
- The number of decimal digits it has is: 14
- The sum of 40138907461632's digits is 54
- More coming soon!
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"Number 40138907461632 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 40138907461632 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/40138907461632/
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The information we have on file for 40138907461632 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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