138362409895127040
138,362,409,895,127,040 is an even composite number composed of five prime numbers multiplied together.
What does the number 138362409895127040 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2376 divisors.
138362409895127040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138362409895127040:
211 × 310 × 5 × 72 × 21612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 2161 × 2161)See below for interesting mathematical facts about the number 138362409895127040 from the Numbermatics database.
Names of 138362409895127040
- Cardinal: 138362409895127040 can be written as One hundred thirty-eight quadrillion, three hundred sixty-two trillion, four hundred nine billion, eight hundred ninety-five million, one hundred twenty-seven thousand and forty.
Scientific notation
- Scientific notation: 1.3836240989512704 × 1017
Factors of 138362409895127040
Divisors of 138362409895127040
- Number of divisors d(n): 2376
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 63 64 70 72 80 81 84 90 96 98 105 108 112 120 126 128 135 140 144 147 160 162 168 180 189 192 196 210 216 224 240 243 245 252 256 270 280 288 294 315 320 324 336 360 378 384 392 405 420 432 441 448 480 486 490 504 512 540 560 567 576 588 630 640 648 672 720 729 735 756 768 784 810 840 864 882 896 945 960 972 980 1008 1024 1080 1120 1134 1152 1176 1215 1260 1280 1296 1323 1344 1440 1458 1470 1512 1536 1568 1620 1680 1701 1728 1764 1792 1890 1920 1944 1960 2016 2048 2160 2161 2187 2205 2240 2268 2304 2352 2430 2520 2560 2592 2646 2688 2835 2880 2916 2940 3024 3072 3136 3240 3360 3402 3456 3528 3584 3645 3780 3840 3888 3920 3969 4032 4320 4322 4374 4410 4480 4536 4608 4704 4860 5040 5103 5120 5184 5292 5376 5670 5760 5832 5880 6048 6144 6272 6480 6483 6561 6615 6720 6804 6912 7056 7168 7290 7560 7680 7776 7840 7938 8064 8505 8640 8644 8748 8820 8960 9072 9216 9408 9720 10080 10206 10240 10368 10584 10752 10805 10935 11340 11520 11664 11760 11907 12096 12544 12960 12966 13122 13230 13440 13608 13824 14112 14336 14580 15120 15127 15309 15360 15552 15680 15876 16128 17010 17280 17288 17496 17640 17920 18144 18432 18816 19440 19449 19683 19845 20160 20412 20736 21168 21504 21610 21870 22680 23040 23328 23520 23814 24192 25088 25515 25920 25932 26244 26460 26880 27216 27648 28224 29160 30240 30254 30618 30720 31104 31360 31752 32256 32415 32805 34020 34560 34576 34992 35280 35721 35840 36288 37632 38880 38898 39366 39690 40320 40824 41472 42336 43008 43220 43740 45360 45381 45927 46080 46656 47040 47628 48384 50176 51030 51840 51864 52488 52920 53760 54432 55296 56448 58320 58347 59049 59535 60480 60508 61236 62208 62720 63504 64512 64830 65610 68040 69120 69152 69984 70560 71442 71680 72576 75264 75635 76545 77760 77796 78732 79380 80640 81648 82944 84672 86440 87480 90720 90762 91854 92160 93312 94080 95256 96768 97245 98415 100352 102060 103680 103728 104976 105840 105889 107163 107520 108864 112896 116640 116694 118098 119070 120960 121016 122472 124416 125440 127008 129024 129660 131220 136080 136143 137781 138240 138304 139968 141120 142884 145152 150528 151270 153090 155520 155592 157464 158760 161280 163296 165888 169344 172880 174960 175041 178605 181440 181524 183708 186624 188160 190512 193536 194490 196830 204120 207360 207456 209952 211680 211778 214326 215040 217728 225792 226905 229635 233280 233388 236196 238140 241920 242032 244944 248832 250880 254016 259320 262440 272160 272286 275562 276480 276608 279936 282240 285768 290304 291735 295245 301056 302540 306180 311040 311184 314928 317520 317667 321489 322560 326592 338688 345760 349920 350082 357210 362880 363048 367416 373248 376320 381024 387072 388980 393660 408240 408429 413343 414720 414912 419904 423360 423556 428652 435456 451584 453810 459270 466560 466776 472392 476280 483840 484064 489888 497664 501760 508032 518640 524880 525123 529445 535815 544320 544572 551124 553216 559872 564480 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3217131926505 3268197512640 3336284960820 3389241864960 3431607388272 3486077346816 3514769341440 3557057172480 3558703958208 3676722201720 3812897098080 3860558311806 3873419274240 3921837015168 3954115509120 4001689319040 4003541952984 4067090237952 4217723209728 4268468606976 4289509235340 4357596683520 4412066642064 4448379947760 4503984697107 4518989153280 4573359221760 4575476517696 4744938610944 4902296268960 5004427441230 5083862797440 5147411082408 5229116020224 5272154012160 5335585758720 5338055937312 5422786983936 5515083302580 5719345647120 5810128911360 5882755522752 5931173263680 6005312929476 6100635356928 6326584814592 6402702910464 6434263853010 6536395025280 6672569921640 6778483729920 6863214776544 6972154693632 7029538682880 7114114344960 7117407916416 7353444403440 7506641161845 7625794196160 7721116623612 7843674030336 7908231018240 8003378638080 8007083905968 8134180475904 8579018470680 8715193367040 8824133284128 8896759895520 9007969394214 9037978306560 9146718443520 9150953035392 9489877221888 9651395779515 9804592537920 10008854882460 10167725594880 10294822164816 10458232040448 10544308024320 10671171517440 10676111874624 11030166605160 11438691294240 11620257822720 11765511045504 11862346527360 12010625858952 12201270713856 12653169629184 12805405820928 12868527706020 13072790050560 13345139843280 13511954091321 13556967459840 13726429553088 14234815832832 14706888806880 15013282323690 15251588392320 15442233247224 15687348060672 15816462036480 16006757276160 16014167811936 16268360951808 17158036941360 17430386734080 17648266568256 17793519791040 18015938788428 18301906070784 18979754443776 19302791559030 19609185075840 20017709764920 20335451189760 20589644329632 20916464080896 21088616048640 21342343034880 21352223749248 22060333210320 22519923485535 22877382588480 23531022091008 23724693054720 24021251717904 24402541427712 25737055412040 26145580101120 26690279686560 27023908182642 27113934919680 27452859106176 28469631665664 29413777613760 30026564647380 30503176784640 30884466494448 31374696121344 31632924072960 32013514552320 32028335623872 34316073882720 34860773468160 35296533136512 35587039582080 36031877576856 36603812141568 37959508887552 38605583118060 39218370151680 40035419529840 40670902379520 41179288659264 42704447498496 44120666420640 45039846971070 45754765176960 47062044182016 47449386109440 48042503435808 48805082855424 51474110824080 52291160202240 53380559373120 54047816365284 54905718212352 56939263331328 58827555227520 60053129294760 61006353569280 61768932988896 62749392242688 63265848145920 64027029104640 64056671247744 67559770456605 68632147765440 70593066273024 71174079164160 72063755153712 73207624283136 77211166236120 78436740303360 80070839059680 81341804759040 82358577318528 85408894996992 88241332841280 90079693942140 91509530353920 94124088364032 94898772218880 96085006871616 102948221648160 104582320404480 106761118746240 108095632730568 109811436424704 113878526662656 117655110455040 120106258589520 122012707138560 123537865977792 128113342495488 135119540913210 137264295530880 141186132546048 142348158328320 144127510307424 146415248566272 154422332472240 156873480606720 160141678119360 164717154637056 170817789993984 176482665682560 180159387884280 183019060707840 188248176728064 189797544437760 192170013743232 205896443296320 213522237492480 216191265461136 219622872849408 235310220910080 240212517179040 244025414277120 247075731955584 256226684990976 270239081826420 274528591061760 282372265092096 284696316656640 288255020614848 308844664944480 313746961213440 320283356238720 329434309274112 341635579987968 352965331365120 360318775768560 366038121415680 384340027486464 411792886592640 427044474984960 432382530922272 439245745698816 470620441820160 480425034358080 494151463911168 512453369981952 540478163652840 549057182123520 564744530184192 569392633313280 576510041229696 617689329888960 640566712477440 658868618548224 705930662730240 720637551537120 732076242831360 768680054972928 823585773185280 854088949969920 864765061844544 941240883640320 960850068716160 988302927822336 1024906739963904 1080956327305680 1098114364247040 1153020082459392 1235378659777920 1281133424954880 1317737237096448 1411861325460480 1441275103074240 1537360109945856 1647171546370560 1708177899939840 1729530123689088 1921700137432320 1976605855644672 2161912654611360 2196228728494080 2306040164918784 2470757319555840 2562266849909760 2823722650920960 2882550206148480 3074720219891712 3294343092741120 3459060247378176 3843400274864640 3953211711289344 4323825309222720 4612080329837568 4941514639111680 5124533699819520 5765100412296960 6588686185482240 6918120494756352 7686800549729280 8647650618445440 9224160659675136 9883029278223360 11530200824593920 13836240989512704 15373601099458560 17295301236890880 19766058556446720 23060401649187840 27672481979025408 34590602473781760 46120803298375680 69181204947563520 138362409895127040
- Sum of all divisors σ(n): 579551342582303910
- Sum of proper divisors (its aliquot sum) s(n): 441188932687176870
- 138362409895127040 is an abundant number, because the sum of its proper divisors (441188932687176870) is greater than itself. Its abundance is 302826522792049830
Bases of 138362409895127040
- Binary: 1111010111000111111100000111101000001000011101000000000002
- Hexadecimal: 0x1EB8FE0F410E800
- Base-36: 11UDDPM00000
Squares and roots of 138362409895127040
- 138362409895127040 squared (1383624098951270402) is 19144156471987149032131137739161600
- 138362409895127040 cubed (1383624098951270403) is 2648831624873535073194382252671622832582415089664000
-
The
square root of 138362409895127040 is 371970979.9098943687 -
The
cube root of 138362409895127040 is 517216.8987101973
Scales and comparisons
How big is 138362409895127040?- 138,362,409,895,127,040 seconds is equal to 4,399,496,651 years, 32 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,362,409,895,127,040 would take you about thirteen billion, one hundred ninety-eight million, four hundred eighty-nine thousand, nine hundred fifty-four 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 138362409895127040 cubic inches would be around 43101.4 feet tall.
Recreational maths with 138362409895127040
- 138362409895127040 backwards is 040721598904263831
- 138362409895127040 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138362409895127040's digits is 72
- More coming soon!
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Cite this page
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"Number 138362409895127040 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138362409895127040 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138362409895127040/
Chicago style:
Numbermatics. 2024. "Number 138362409895127040 - Facts about the integer". https://numbermatics.com/n/138362409895127040/
The information we have on file for 138362409895127040 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 138362409895127040, math, Factors of 138362409895127040, curriculum, school, college, exams, university, Prime factorization of 138362409895127040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixty-two trillion, four hundred nine billion, eight hundred ninety-five million, one hundred twenty-seven thousand and forty.