138742912841040000
138,742,912,841,040,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138742912841040000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
138742912841040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138742912841040000:
27 × 33 × 54 × 1009 × 63659891
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 1009 × 63659891)See below for interesting mathematical facts about the number 138742912841040000 from the Numbermatics database.
Names of 138742912841040000
- Cardinal: 138742912841040000 can be written as One hundred thirty-eight quadrillion, seven hundred forty-two trillion, nine hundred twelve billion, eight hundred forty-one million, forty thousand.
Scientific notation
- Scientific notation: 1.3874291284104 × 1017
Factors of 138742912841040000
Divisors of 138742912841040000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 384 400 432 450 480 500 540 576 600 625 640 675 720 750 800 864 900 960 1000 1009 1080 1125 1152 1200 1250 1350 1440 1500 1600 1728 1800 1875 1920 2000 2018 2160 2250 2400 2500 2700 2880 3000 3027 3200 3375 3456 3600 3750 4000 4036 4320 4500 4800 5000 5045 5400 5625 5760 6000 6054 6750 7200 7500 8000 8072 8640 9000 9081 9600 10000 10090 10800 11250 12000 12108 13500 14400 15000 15135 16000 16144 16875 17280 18000 18162 20000 20180 21600 22500 24000 24216 25225 27000 27243 28800 30000 30270 32288 33750 36000 36324 40000 40360 43200 45000 45405 48000 48432 50450 54000 54486 60000 60540 64576 67500 72000 72648 75675 80000 80720 86400 90000 90810 96864 100900 108000 108972 120000 121080 126125 129152 135000 136215 144000 145296 151350 161440 180000 181620 193728 201800 216000 217944 227025 240000 242160 252250 270000 272430 290592 302700 322880 360000 363240 378375 387456 403600 432000 435888 454050 484320 504500 540000 544860 581184 605400 630625 645760 681075 720000 726480 756750 807200 871776 908100 968640 1009000 1080000 1089720 1135125 1162368 1210800 1261250 1362150 1452960 1513500 1614400 1743552 1816200 1891875 1937280 2018000 2160000 2179440 2270250 2421600 2522500 2724300 2905920 3027000 3228800 3405375 3487104 3632400 3783750 4036000 4358880 4540500 4843200 5045000 5448600 5675625 5811840 6054000 6810750 7264800 7567500 8072000 8717760 9081000 9686400 10090000 10897200 11351250 12108000 13621500 14529600 15135000 16144000 17026875 17435520 18162000 20180000 21794400 22702500 24216000 27243000 29059200 30270000 34053750 36324000 40360000 43588800 45405000 48432000 54486000 60540000 63659891 68107500 72648000 80720000 87177600 90810000 108972000 121080000 127319782 136215000 145296000 181620000 190979673 217944000 242160000 254639564 272430000 318299455 363240000 381959346 435888000 509279128 544860000 572939019 636598910 726480000 763918692 954898365 1018558256 1089720000 1145878038 1273197820 1527837384 1591497275 1718817057 1909796730 2037116512 2179440000 2291756076 2546395640 2864695095 3055674768 3182994550 3437634114 3819593460 4074233024 4583512152 4774491825 5092791280 5729390190 6111349536 6365989100 6875268228 7639186920 7957486375 8148466048 8594085285 9167024304 9548983650 10185582560 11458780380 12222699072 12731978200 13750536456 14323475475 15278373840 15914972750 17188170570 18334048608 19097967300 20371165120 22917560760 23872459125 24445398144 25463956400 27501072912 28646950950 30556747680 31829945500 34376341140 36668097216 38195934600 39787431875 40742330240 42970426425 45835121520 47744918250 50927912800 55002145824 57293901900 61113495360 63659891000 64232830019 68752682280 71617377375 73336194432 76391869200 79574863750 85940852850 91670243040 95489836500 101855825600 110004291648 114587803800 119362295625 122226990720 127319782000 128465660038 137505364560 143234754750 152783738400 159149727500 171881705700 183340486080 190979673000 192698490057 203711651200 214852132125 220008583296 229175607600 238724591250 254639564000 256931320076 275010729120 286469509500 305567476800 318299455000 321164150095 343763411400 358086886875 366680972160 381959346000 385396980114 429704264250 458351215200 477449182500 509279128000 513862640152 550021458240 572939019000 578095470171 611134953600 636598910000 642328300190 687526822800 716173773750 763918692000 770793960228 859408528500 916702430400 954898365000 963492450285 1018558256000 1027725280304 1074260660625 1100042916480 1145878038000 1156190940342 1273197820000 1284656600380 1375053645600 1432347547500 1527837384000 1541587920456 1605820750475 1718817057000 1734286410513 1833404860800 1909796730000 1926984900570 2055450560608 2148521321250 2291756076000 2312381880684 2546395640000 2569313200760 2750107291200 2864695095000 2890477350855 3055674768000 3083175840912 3211641500950 3437634114000 3468572821026 3819593460000 3853969801140 4110901121216 4297042642500 4583512152000 4624763761368 4817462251425 5092791280000 5138626401520 5500214582400 5729390190000 5780954701710 6166351681824 6423283001900 6875268228000 6937145642052 7639186920000 7707939602280 8029103752375 8221802242432 8594085285000 8671432052565 9167024304000 9249527522736 9634924502850 10277252803040 11458780380000 11561909403420 12332703363648 12846566003800 13750536456000 13874291284104 14452386754275 15278373840000 15415879204560 16058207504750 17188170570000 17342864105130 18499055045472 19269849005700 20554505606080 22917560760000 23123818806840 24087311257125 24665406727296 25693132007600 27501072912000 27748582568208 28904773508550 30831758409120 32116415009500 34376341140000 34685728210260 36998110090944 38539698011400 40145518761875 41109011212160 43357160262825 45835121520000 46247637613680 48174622514250 51386264015200 55497165136416 57809547017100 61663516818240 64232830019000 68752682280000 69371456420520 72261933771375 73996220181888 77079396022800 80291037523750 86714320525650 92495275227360 96349245028500 102772528030400 110994330272832 115619094034200 120436556285625 123327033636480 128465660038000 137505364560000 138742912841040 144523867542750 154158792045600 160582075047500 173428641051300 184990550454720 192698490057000 205545056060800 216785801314125 221988660545664 231238188068400 240873112571250 256931320076000 277485825682080 289047735085500 308317584091200 321164150095000 346857282102600 361309668856875 369981100909440 385396980114000 433571602628250 462476376136800 481746225142500 513862640152000 554971651364160 578095470171000 616635168182400 642328300190000 693714564205200 722619337713750 770793960228000 867143205256500 924952752273600 963492450285000 1027725280304000 1083929006570625 1109943302728320 1156190940342000 1284656600380000 1387429128410400 1445238675427500 1541587920456000 1734286410513000 1849905504547200 1926984900570000 2167858013141250 2312381880684000 2569313200760000 2774858256820800 2890477350855000 3083175840912000 3468572821026000 3853969801140000 4335716026282500 4624763761368000 5138626401520000 5549716513641600 5780954701710000 6937145642052000 7707939602280000 8671432052565000 9249527522736000 11561909403420000 13874291284104000 15415879204560000 17342864105130000 23123818806840000 27748582568208000 34685728210260000 46247637613680000 69371456420520000 138742912841040000
- Sum of all divisors σ(n): 512198705966904000
- Sum of proper divisors (its aliquot sum) s(n): 373455793125864000
- 138742912841040000 is an abundant number, because the sum of its proper divisors (373455793125864000) is greater than itself. Its abundance is 234712880284824000
Bases of 138742912841040000
- Binary: 1111011001110100111110001101100101111111001000000100000002
- Hexadecimal: 0x1ECE9F1B2FE4080
- Base-36: 11Y49A91P9C0
Squares and roots of 138742912841040000
- 138742912841040000 squared (1387429128410400002) is 19249595863616422124308281600000000
- 138742912841040000 cubed (1387429128410400003) is 2670745001130977361683712638328256356864000000000000
-
The
square root of 138742912841040000 is 372482097.3429998285 -
The
cube root of 138742912841040000 is 517690.5881165591
Scales and comparisons
How big is 138742912841040000?- 138,742,912,841,040,000 seconds is equal to 4,411,595,468 years, 17 weeks, 4 days.
-
To count from 1 to 138,742,912,841,040,000 would take you about thirteen billion, two hundred thirty-four million, seven hundred eighty-six thousand, four hundred 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 138742912841040000 cubic inches would be around 43140.9 feet tall.
Recreational maths with 138742912841040000
- 138742912841040000 backwards is 000040148219247831
- 138742912841040000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138742912841040000's digits is 54
- More coming soon!
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The information we have on file for 138742912841040000 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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