138438632405016450
138,438,632,405,016,450 is an even composite number composed of eight prime numbers multiplied together.
138438632405016450 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138438632405016450:
2 × 34 × 52 × 13 × 23 × 41 × 11872 × 1979
(2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 23 × 41 × 1187 × 1187 × 1979)See below for interesting mathematical facts about the number 138438632405016450 from the Numbermatics database.
Names of 138438632405016450
- Cardinal: 138438632405016450 can be written as One hundred thirty-eight quadrillion, four hundred thirty-eight trillion, six hundred thirty-two billion, four hundred five million, sixteen thousand, four hundred fifty.
Scientific notation
- Scientific notation: 1.3843863240501645 × 1017
Factors of 138438632405016450
Divisors of 138438632405016450
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 23 25 26 27 30 39 41 45 46 50 54 65 69 75 78 81 82 90 115 117 123 130 135 138 150 162 195 205 207 225 230 234 246 270 299 325 345 351 369 390 405 410 414 450 533 575 585 598 615 621 650 675 690 702 738 810 897 943 975 1025 1035 1053 1066 1107 1150 1170 1187 1230 1242 1350 1495 1599 1725 1755 1794 1845 1863 1886 1950 1979 2025 2050 2070 2106 2214 2374 2665 2691 2829 2925 2990 3075 3105 3198 3321 3450 3510 3561 3690 3726 3958 4050 4485 4715 4797 5175 5265 5330 5382 5535 5658 5850 5935 5937 6150 6210 6642 7122 7475 7995 8073 8487 8775 8970 9225 9315 9430 9594 9895 10350 10530 10683 11070 11870 11874 12259 13325 13455 14145 14391 14950 15431 15525 15990 16146 16605 16974 17550 17805 17811 18450 18630 19790 21366 22425 23575 23985 24219 24518 25461 25727 26325 26650 26910 27301 27675 28290 28782 29675 29685 30862 31050 32049 33210 35610 35622 36777 39975 40365 42435 43173 44850 45517 46293 46575 47150 47970 48438 48667 49475 50922 51454 52650 53415 53433 54602 55350 59350 59370 61295 64098 67275 70725 71955 73554 76383 77155 77181 79950 80730 81139 81903 83025 84870 86346 89025 89055 91034 92586 93150 96147 97334 98950 106830 106866 110331 119925 121095 122590 127305 128635 134550 136505 136551 138879 141450 143910 146001 148425 152766 154310 154362 160245 160299 162278 163806 166050 178050 178110 183885 192294 201825 212175 215865 220662 227585 231465 231543 239850 242190 243335 243417 245709 254610 257270 267075 267165 273010 273102 277758 292002 296850 306475 320490 320598 330993 354913 359775 367770 381915 385775 385905 403650 405695 409515 409653 416637 424350 431730 438003 445275 455170 462930 463086 480735 486670 486834 491418 534150 534330 551655 591721 605475 612950 632671 636525 643175 661986 682525 682755 694395 694629 709826 719550 730005 730251 737127 763830 771550 771810 801225 801495 811390 819030 819306 833274 876006 890550 919425 961470 992979 1054807 1064739 1079325 1103310 1119341 1137925 1157325 1157715 1183442 1210950 1216675 1217085 1228545 1228959 1249911 1265342 1273050 1286350 1314009 1335825 1365050 1365510 1388790 1389258 1408969 1460010 1460502 1474254 1602450 1602990 1654965 1774565 1775163 1838850 1866197 1898013 1909575 1929525 1985958 2028475 2047575 2048265 2083185 2083887 2109614 2129478 2158650 2190015 2190753 2211381 2238682 2275850 2314650 2315430 2349073 2403675 2433350 2434170 2457090 2457918 2499822 2628018 2671650 2758275 2817938 2958605 3163355 3164421 3194217 3309930 3358023 3413775 3471975 3473145 3549130 3550326 3650025 3651255 3685635 3686877 3732394 3796026 3819150 3859050 3942027 4007475 4056950 4095150 4096530 4166370 4167774 4226907 4380030 4381506 4422762 4698146 4807350 4964895 5274035 5323695 5325489 5516550 5596705 5598591 5694039 5788575 5917210 6085425 6142725 6144795 6249555 6326710 6328842 6388434 6570045 6572259 6716046 6827550 6943950 6946290 7044845 7047219 7300050 7302510 7371270 7373754 7884054 8014950 8274825 8453814 8872825 8875815 9330985 9490065 9493263 9582651 9929790 10074069 10241325 10415925 10419435 10548070 10647390 10650978 10950075 10953765 11056905 11193410 11197182 11388078 11577150 11745365 12170850 12285450 12289590 12499110 12680721 13140090 13144518 14089690 14094438 14551433 14793025 15816775 15822105 15971085 15976467 16549650 16790115 16795773 17082117 17365725 17745650 17751630 18256275 18316597 18428175 18434385 18661970 18980130 18986526 19165302 19710135 20148138 20482650 20831850 20838870 21134535 21141657 21900150 21907530 22113810 23490730 24260561 24824475 25361442 26370175 26618475 26627445 27983525 27992955 28470195 28479789 28747953 29102866 29586050 30222207 30537949 30723975 31247775 31633550 31644210 31942170 31952934 32406287 32850225 32861295 33580230 33591546 34164234 34731450 35224225 35236095 36512550 36633194 36856350 36868770 38042163 39420270 42269070 42283314 43654299 44379075 46654925 47450325 47466315 47913255 47929401 48521122 49648950 50370345 50387319 51246351 52097175 52740350 53236950 53254890 54028679 54768825 54949791 55284525 55967050 55985910 56940390 56959578 57495906 57767729 58726825 60444414 61075898 61447950 62495550 63403605 63424971 64812574 65700450 65722590 70448450 70472190 72757165 72781683 76084326 79110525 79855425 79882335 83950575 83978865 85410585 85439367 87308598 88758150 90666621 91582985 91613847 92171925 93309850 94900650 94932630 95826510 95858802 96311993 97218861 98550675 100740690 100774638 102492702 104194350 105672675 105708285 108057358 109537650 109899582 110569050 114126489 115535458 117453650 121302805 126807210 126849942 130962897 133137225 139964775 142350975 142398945 143739765 145514330 145563366 151111035 151161957 152689745 158221050 159710850 159764670 162031435 162086037 164306475 164849373 167901150 167957730 170821170 170878734 173303187 176180475 181333242 183165970 183227694 184343850 190210815 190274913 192623986 194437722 197101350 211345350 211416570 218271495 218345049 228252978 237331575 239566275 239647005 242605610 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4212817310 4214236962 4271968350 4332579675 4334039685 4374848745 4376322999 4430351678 4505882862 4533331050 4580692350 4679186049 4756872825 4815599650 4860943050 4862581110 4945481190 4947147738 5199095610 5200847622 5249818494 5458626225 5576699302 5706324450 5893330365 6260279545 6319225965 6321355443 6548144850 6550351470 6643288835 6645527517 6758824293 6871038525 7023728270 7223399475 7291414575 7293871665 7418221785 7509804770 7512335454 7558097850 7583071158 7798643415 7801271433 7971946602 8104301850 8242468650 8245246230 8365048953 8665159350 8668079370 8749697490 8752645998 9358372098 9513745650 9822217275 9825527205 10532043275 10535592405 10917252450 11075879195 11264707155 11268503181 11374606737 11786660730 11957919903 12156452775 12363702975 12367869345 12520559090 12638451930 12642710886 12997739025 13002119055 13124546235 13286577670 13291055034 13517648586 13742077050 13941748255 14446798950 14582829150 14587743330 14836443570 15597286830 15602542866 16375878675 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65010595275 65622731175 66432888350 66455275170 67588242930 67611019086 68247640422 69708741275 71747519418 72497090926 72938716650 74182217850 75285440577 77986434150 78012714330 83650489530 86362754855 86391857721 93904193175 94788389475 94820331645 98255272050 99649332525 99682912755 101382364395 101416528629 103635305826 105355924050 107621279127 108745636389 109408074975 110758791950 112647071550 112685031810 113746067370 113784397974 114322335691 116979651225 119579199030 119619495306 121658837274 123678693450 125475734295 128264083946 130021190550 131245462350 139417482550 143986429535 150570881154 155452958739 158033886075 166138187925 168970607325 169027547715 170619101055 172725509710 172783715442 179368798545 179429242959 181242727315 187808386350 189576778950 189640663290 192396125919 195031785825 199298665050 199365825510 202764728790 202833057258 209126223825 215242558254 217491272778 218816149950 225856321731 228644671382 233959302450 250951468590 259088264565 259175573163 281712579525 284365168425 284460994935 287972859070 298947997575 299048738265 304147093185 310905917478 316067772150 320660209865 326236909167 332276375850 337941214650 338055095430 341238202110 342967007073 358737597090 358858485918 362485454630 376427202885 384792251838 390063571650 418252447650 431813774275 431959288605 451712643462 466358876217 474101658225 498414563775 506911821975 507082643145 518176529130 518351146326 538106395635 543728181945 563425159050 568730336850 568921989870 571611678455 577188377757 597895995150 598097476530 608294186370 627378671475 641320419730 652473818334 685934014146 719932147675 752854405770 777264793695 777526719489 833716545649 845137738575 853095505275 863627548550 863918577210 896843992725 897146214795 906213636575 932717752434 948203316450 961980629595 978710727501 996829127550 1013823643950 1014165286290 1028901021219 1076212791270 1087456363890 1129281608655 1143223356910 1154376755514 1254757342950 1295441322825 1295877865815 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7430951819915 7503448910841 7772647936950 7775267194890 7888241162679 8155922729175 8337165456490 8574175176825 8657825666355 8917142183898 8971462147950 9260109190971 9619806295950 9787107275010 10289010212190 10389390799626 11292816086550 11658971905425 11662900792335 12505748184735 12958778658150 13147068604465 13375713275847 13990766286510 14429709443925 14680660912515 14861903639830 15006897821682 15433515318285 15776482325358 16311845458350 17148350353650 17315651332710 18520218381942 19438167987225 20842913641225 22292855459745 22510346732523 23317943810850 23325801584670 23664723488037 24467768187525 25011496369470 25722525530475 25973476999065 26294137208930 26751426551694 28859418887850 29361321825030 30867030636570 34182378371609 34976915716275 37154759099575 37517244554205 38876335974450 39441205813395 40127139827541 41685827282450 43289128331775 44585710919490 45020693465046 46300545954855 47329446976074 48935536375050 51445051060950 51946953998130 58314503961675 62528740923675 65735343022325 66878566379235 67531040197569 68364756743218 69953831432550 70994170464111 73403304562575 74309518199150 75034489108410 77167576591425 78882411626790 80254279655082 86578256663550 92601091909710 102547135114827 111464277298725 112551733662615 116629007923350 118323617440185 120381419482623 125057481847350 129867384995325 131470686044650 133757132758470 135062080395138 141988340928222 146806609125150 154335153182850 170911891858045 187586222771025 197206029066975 200635699137705 205094270229654 212982511392333 222928554597450 225103467325230 231502729774275 236647234880370 240762838965246 259734769990650 307641405344481 334392831896175 337655200987845 341823783716090 354970852320555 375172445542050 394412058133950 401271398275410 425965022784666 463005459548550 512735675574135 562758668313075 591618087200925 601907097413115 615282810688962 668785663792350 675310401975690 709941704641110 854559459290225 922924216033443 1003178495688525 1025471351148270 1064912556961665 1125517336626150 1183236174401850 1203814194826230 1538207026722405 1688276004939225 1709118918580450 1774854261602775 1845848432066886 2006356991377050 2129825113923330 2563678377870675 2768772648100329 3009535487065575 3076414053444810 3376552009878450 3549708523205550 4614621080167215 5127356755741350 5324562784808325 5537545296200658 6019070974131150 7691035133612025 9229242160334430 10649125569616650 13843863240501645 15382070267224050 23073105400836075 27687726481003290 46146210801672150 69219316202508225 138438632405016450
- Sum of all divisors σ(n): 443393726938968960
- Sum of proper divisors (its aliquot sum) s(n): 304955094533952510
- 138438632405016450 is an abundant number, because the sum of its proper divisors (304955094533952510) is greater than itself. Its abundance is 166516462128936060
Bases of 138438632405016450
- Binary: 1111010111101010100110011111000111011000100011111100000102
- Hexadecimal: 0x1EBD533E3B11F82
- Base-36: 11V4EDQYDQ4I
Squares and roots of 138438632405016450
- 138438632405016450 squared (1384386324050164502) is 19165254942171270715031124770602500
- 138438632405016450 cubed (1384386324050164503) is 2653211683887673347513734107654391709876488911125000
-
The
square root of 138438632405016450 is 372073423.4059407393 -
The
cube root of 138438632405016450 is 517311.8578662941
Scales and comparisons
How big is 138438632405016450?- 138,438,632,405,016,450 seconds is equal to 4,401,920,291 years, 35 weeks, 4 hours, 7 minutes, 30 seconds.
-
To count from 1 to 138,438,632,405,016,450 would take you about thirteen billion, two hundred five million, seven hundred sixty thousand, eight hundred seventy-five 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 138438632405016450 cubic inches would be around 43109.3 feet tall.
Recreational maths with 138438632405016450
- 138438632405016450 backwards is 054610504236834831
- The number of decimal digits it has is: 18
- The sum of 138438632405016450's digits is 63
- More coming soon!
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"Number 138438632405016450 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138438632405016450 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138438632405016450/
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The information we have on file for 138438632405016450 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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