138380513586319440
138,380,513,586,319,440 is an even composite number composed of five prime numbers multiplied together.
What does the number 138380513586319440 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138380513586319440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138380513586319440:
24 × 317 × 5 × 19 × 893
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 19 × 89 × 89 × 89)See below for interesting mathematical facts about the number 138380513586319440 from the Numbermatics database.
Names of 138380513586319440
- Cardinal: 138380513586319440 can be written as One hundred thirty-eight quadrillion, three hundred eighty trillion, five hundred thirteen billion, five hundred eighty-six million, three hundred nineteen thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3838051358631944 × 1017
Factors of 138380513586319440
Divisors of 138380513586319440
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 81 89 90 95 108 114 120 135 144 152 162 171 178 180 190 216 228 240 243 267 270 285 304 324 342 356 360 380 405 432 445 456 486 513 534 540 570 648 684 712 720 729 760 801 810 855 890 912 972 1026 1068 1080 1140 1215 1296 1335 1368 1424 1458 1520 1539 1602 1620 1691 1710 1780 1944 2052 2136 2160 2187 2280 2403 2430 2565 2670 2736 2916 3078 3204 3240 3382 3420 3560 3645 3888 4005 4104 4272 4374 4560 4617 4806 4860 5073 5130 5340 5832 6156 6408 6480 6561 6764 6840 7120 7209 7290 7695 7921 8010 8208 8455 8748 9234 9612 9720 10146 10260 10680 10935 11664 12015 12312 12816 13122 13528 13680 13851 14418 14580 15219 15390 15842 16020 16910 17496 18468 19224 19440 19683 20292 20520 21360 21627 21870 23085 23763 24030 24624 25365 26244 27056 27702 28836 29160 30438 30780 31684 32040 32805 33820 34992 36045 36936 38448 39366 39605 40584 41040 41553 43254 43740 45657 46170 47526 48060 50730 52488 55404 57672 58320 59049 60876 61560 63368 64080 64881 65610 67640 69255 71289 72090 73872 76095 78732 79210 81168 83106 86508 87480 91314 92340 95052 96120 98415 101460 104976 108135 110808 115344 118098 118815 121752 123120 124659 126736 129762 131220 135280 136971 138510 142578 144180 150499 152190 157464 158420 166212 173016 174960 177147 182628 184680 190104 192240 194643 196830 202920 207765 213867 216270 221616 228285 236196 237630 243504 249318 259524 262440 273942 277020 285156 288360 295245 300998 304380 314928 316840 324405 332424 346032 354294 356445 365256 369360 373977 380208 389286 393660 405840 410913 415530 427734 432540 451497 456570 472392 475260 498636 519048 524880 531441 547884 554040 570312 576720 583929 590490 601996 608760 623295 633680 641601 648810 664848 684855 704969 708588 712890 730512 747954 752495 778572 787320 821826 831060 855468 865080 885735 902994 913140 944784 950520 973215 997272 1038096 1062882 1069335 1095768 1108080 1121931 1140624 1167858 1180980 1203992 1217520 1232739 1246590 1283202 1297620 1354491 1369710 1409938 1417176 1425780 1495908 1504990 1557144 1574640 1594323 1643652 1662120 1710936 1730160 1751787 1771470 1805988 1826280 1869885 1901040 1924803 1946430 1994544 2054565 2114907 2125764 2138670 2191536 2243862 2257485 2335716 2361960 2407984 2465478 2493180 2566404 2595240 2657205 2708982 2739420 2819876 2834352 2851560 2919645 2991816 3009980 3114288 3188646 3208005 3287304 3324240 3365793 3421872 3503574 3524845 3542940 3611976 3652560 3698217 3739770 3849606 3892860 4063473 4109130 4229814 4251528 4277340 4487724 4514970 4671432 4723920 4782969 4930956 4986360 5132808 5190480 5255361 5314410 5417964 5478840 5609655 5639752 5703120 5774409 5839290 5983632 6019960 6163695 6344721 6377292 6416010 6574608 6731586 6772455 7007148 7049690 7085880 7223952 7396434 7479540 7699212 7785720 7971615 8126946 8218260 8459628 8503056 8554680 8758935 8975448 9029940 9342864 9565938 9624015 9861912 9972720 10097379 10265616 10510722 10574535 10628820 10835928 10957680 11094651 11219310 11279504 11548818 11678580 12039920 12190419 12327390 12689442 12754584 12832020 13394411 13463172 13544910 14014296 14099380 14171760 14348907 14792868 14959080 15398424 15571440 15766083 15943230 16253892 16436520 16828965 16919256 17109360 17323227 17517870 17950896 18059880 18491085 19034163 19131876 19248030 19723824 20194758 20317365 21021444 21149070 21257640 21671856 22189302 22438620 23097636 23357160 23914845 24380838 24654780 25378884 25509168 25664040 26276805 26788822 26926344 27089820 28028592 28198760 28697814 28872045 29585736 29918160 30292137 30796848 31532166 31723605 31886460 32507784 32873040 33283953 33657930 33838512 34646454 35035740 36119760 36571257 36982170 38068326 38263752 38496060 40183233 40389516 40634730 42042888 42298140 42515280 43046721 44378604 44877240 46195272 46714320 47298249 47829690 48761676 49309560 50486895 50757768 51328080 51969681 52553610 53577644 53852688 54179640 55473255 56397520 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64704004632 65096837460 65431015920 67352706576 69379524135 71094523608 71893338480 72792005211 74004825744 75771794898 76623163380 78116204952 78993915120 79981339059 80880005790 83255428962 84190883220 86795783280 87880730571 88868154510 91947796056 92506032180 97056006948 97645256190 98146523880 101029059864 102164217840 106641785412 107840007720 111007238616 112254510960 113657692347 114934745070 117174307428 118490872680 121320008685 123341376240 124883143443 126286324830 129408009264 130193674920 133302231765 138759048270 142189047216 145584010422 146467884285 151543589796 153246326760 156232409904 159962678118 161760011580 166510857924 168381766440 175761461142 177736309020 183895592112 185012064360 189429487245 194112013896 195290512380 196293047760 202058119728 208138572405 213283570824 215680015440 218376015633 222014477232 227315384694 229869490140 234348614856 236981745360 239944017177 242640017370 249766286886 252572649660 260387349840 263642191713 266604463530 277518096540 291168020844 292935768570 303087179592 306492653520 319925356236 323520023160 333021715848 336763532880 340973077041 351522922284 355472618040 363960026055 370024128720 374649430329 378858974490 388224027792 390581024760 399906695295 416277144810 426567141648 436752031266 439403652855 454630769388 459738980280 468697229712 479888034354 485280034740 499532573772 505145299320 527284383426 533208927060 555036193080 568288461735 582336041688 585871537140 606174359184 624415717215 639850712472 647040046320 666043431696 681946154082 703045844568 710945236080 719832051531 727920052110 749298860658 757717948980 781162049520 790926575139 799813390590 832554289620 873504062532 878807305710 909261538776 919477960560 959776068708 970560069480 999065147544 1010290598640 1022919231123 1054568766852 1066417854120 1091880078165 1110072386160 1123948290987 1136576923470 1164672083376 1171743074280 1199720085885 1248831434430 1279701424944 1318210958565 1363892308164 1406091689136 1439664103062 1455840104220 1498597721316 1515435897960 1581853150278 1599626781180 1665108579240 1704865385205 1747008125064 1757614611420 1818523077552 1873247151645 1919552137416 1941120138960 1998130295088 2045838462246 2109137533704 2132835708240 2159496154593 2183760156330 2247896581974 2273153846940 2343486148560 2372779725417 2399440171770 2497662868860 2636421917130 2727784616328 2879328206124 2911680208440 2997195442632 3030871795920 3163706300556 3199253562360 3330217158480 3371844872961 3409730770410 3494016250128 3515229222840 3599160257655 3746494303290 3839104274832 3954632875695 4091676924492 4218275067408 4318992309186 4367520312660 4495793163948 4546307693880 4745559450834 4798880343540 4995325737720 5114596155615 5272843834260 5455569232656 5619741454935 5758656412248 5823360416880 5994390885264 6327412601112 6398507124720 6478488463779 6743689745922 6819461540820 7030458445680 7118339176251 7198320515310 7492988606580 7909265751390 8183353848984 8637984618372 8735040625320 8991586327896 9092615387760 9491118901668 9597760687080 9990651475440 10115534618883 10229192311230 10545687668520 10797480772965 11239482909870 11517312824496 11863898627085 12654825202224 12956976927558 13487379491844 13638923081640 14236678352502 14396641030620 14985977213160 15818531502780 16366707697968 16859224364805 17275969236744 17470081250640 17983172655792 18982237803336 19195521374160 19435465391337 20231069237766 20458384622460 21091375337040 21355017528753 21594961545930 22478965819740 23727797254170 25913953855116 26974758983688 27277846163280 28473356705004 28793282061240 29971954426320 30346603856649 31637063005560 32392442318895 33718448729610 34551938473488 35591695881255 37964475606672 38870930782674 40462138475532 40916769244920 42710035057506 43189923091860 44957931639480 47455594508340 50577673094415 51827907710232 53949517967376 56946713410008 57586564122480 60693207713298 63274126011120 64065052586259 64784884637790 67436897459220 71183391762510 77741861565348 80924276951064 81833538489840 85420070115012 86379846183720 89915863278960 91039811569947 94911189016680 97177326956685 101155346188830 103655815420464 106775087643765 113893426820016 121386415426596 128130105172518 129569769275580 134873794918440 142366783525020 151733019283245 155483723130696 161848553902128 170840140230024 172759692367440 182079623139894 189822378033360 192195157758777 194354653913370 202310692377660 213550175287530 242772830853192 256260210345036 259139538551160 269747589836880 284733567050040 303466038566490 310967446261392 320325262931295 341680280460048 364159246279788 384390315517554 388709307826740 404621384755320 427100350575060 455199057849735 485545661706384 512520420690072 518279077102320 569467134100080 576585473276331 606932077132980 640650525862590 728318492559576 768780631035108 777418615653480 809242769510640 854200701150120 910398115699470 960975788793885 1025040841380144 1153170946552662 1213864154265960 1281301051725180 1456636985119152 1537561262070216 1554837231306960 1708401402300240 1729756419828993 1820796231398940 1921951577587770 2306341893105324 2427728308531920 2562602103450360 2882927366381655 3075122524140432 3459512839657986 3641592462797880 3843903155175540 4612683786210648 5125204206900720 5765854732763310 6919025679315972 7283184925595760 7687806310351080 8648782099144965 9225367572421296 11531709465526620 13838051358631944 15375612620702160 17297564198289930 23063418931053240 27676102717263888 34595128396579860 46126837862106480 69190256793159720 138380513586319440
- Sum of all divisors σ(n): 513774890733686400
- Sum of proper divisors (its aliquot sum) s(n): 375394377147366960
- 138380513586319440 is an abundant number, because the sum of its proper divisors (375394377147366960) is greater than itself. Its abundance is 237013863561047520
Bases of 138380513586319440
- Binary: 1111010111010000001011000000011000010011000010000010100002
- Hexadecimal: 0x1EBA0580C261050
- Base-36: 11UJSQBYB900
Squares and roots of 138380513586319440
- 138380513586319440 squared (1383805135863194402) is 19149166540413539121915925721913600
- 138380513586319440 cubed (1383805135863194403) is 2649871500612389378278298970648136606030777680384000
-
The
square root of 138380513586319440 is 371995313.9305916581 -
The
cube root of 138380513586319440 is 517239.4557198831
Scales and comparisons
How big is 138380513586319440?- 138,380,513,586,319,440 seconds is equal to 4,400,072,293 years, 4 days, 11 hours, 24 minutes.
-
To count from 1 to 138,380,513,586,319,440 would take you about thirteen billion, two hundred million, two hundred sixteen thousand, eight hundred seventy-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 138380513586319440 cubic inches would be around 43103.3 feet tall.
Recreational maths with 138380513586319440
- 138380513586319440 backwards is 044913685315083831
- 138380513586319440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138380513586319440's digits is 72
- More coming soon!
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"Number 138380513586319440 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138380513586319440 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138380513586319440/
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The information we have on file for 138380513586319440 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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