138171959164928000
138,171,959,164,928,000 is an even composite number composed of six prime numbers multiplied together.
138171959164928000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138171959164928000:
217 × 53 × 13 × 29 × 2731 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 29 × 2731 × 8191)See below for interesting mathematical facts about the number 138171959164928000 from the Numbermatics database.
Names of 138171959164928000
- Cardinal: 138171959164928000 can be written as One hundred thirty-eight quadrillion, one hundred seventy-one trillion, nine hundred fifty-nine billion, one hundred sixty-four million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38171959164928 × 1017
Factors of 138171959164928000
Divisors of 138171959164928000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 64 65 80 100 104 116 125 128 130 145 160 200 208 232 250 256 260 290 320 325 377 400 416 464 500 512 520 580 640 650 725 754 800 832 928 1000 1024 1040 1160 1280 1300 1450 1508 1600 1625 1664 1856 1885 2000 2048 2080 2320 2560 2600 2731 2900 3016 3200 3250 3328 3625 3712 3770 4000 4096 4160 4640 5120 5200 5462 5800 6032 6400 6500 6656 7250 7424 7540 8000 8191 8192 8320 9280 9425 10240 10400 10924 11600 12064 12800 13000 13312 13655 14500 14848 15080 16000 16382 16384 16640 18560 18850 20480 20800 21848 23200 24128 25600 26000 26624 27310 29000 29696 30160 32000 32764 32768 33280 35503 37120 37700 40955 40960 41600 43696 46400 47125 48256 51200 52000 53248 54620 58000 59392 60320 64000 65528 65536 66560 68275 71006 74240 75400 79199 81910 81920 83200 87392 92800 94250 96512 102400 104000 106483 106496 109240 116000 118784 120640 128000 131056 131072 133120 136550 142012 148480 150800 158398 163820 163840 166400 174784 177515 185600 188500 193024 204775 204800 208000 212966 212992 218480 232000 237539 237568 241280 256000 262112 266240 273100 284024 296960 301600 316796 327640 327680 332800 341375 349568 355030 371200 377000 386048 395995 409550 409600 416000 425932 425984 436960 464000 475078 475136 482560 512000 524224 532415 532480 546200 568048 593920 603200 633592 655280 655360 665600 682750 699136 710060 742400 754000 772096 791990 819100 819200 832000 851864 851968 873920 887575 928000 950156 950272 965120 1023875 1024000 1029587 1048448 1064830 1064960 1092400 1136096 1187695 1187840 1206400 1267184 1310560 1331200 1365500 1398272 1420120 1484800 1508000 1544192 1583980 1638200 1638400 1664000 1703728 1703936 1747840 1775150 1856000 1900312 1900544 1930240 1979975 2047750 2048000 2059174 2096896 2129660 2129920 2184800 2272192 2375390 2375680 2412800 2534368 2621120 2662075 2662400 2731000 2796544 2840240 2969600 3016000 3088007 3088384 3167960 3276400 3276800 3328000 3407456 3495680 3550300 3712000 3800624 3801088 3860480 3959950 4095500 4096000 4118348 4193792 4259320 4259840 4369600 4437875 4544384 4750780 4751360 4825600 5068736 5147935 5242240 5324150 5324800 5462000 5593088 5680480 5938475 5939200 6032000 6176014 6176768 6335920 6552800 6656000 6814912 6991360 7100600 7424000 7601248 7720960 7919900 8191000 8192000 8236696 8387584 8518640 8519680 8739200 8875750 9088768 9501560 9502720 9651200 9899875 10137472 10295870 10484480 10648300 10649600 10924000 11186176 11360960 11876950 11878400 12064000 12352028 12353536 12671840 13105600 13310375 13312000 13629824 13982720 14201200 14848000 15202496 15440035 15441920 15839800 16382000 16384000 16473392 16775168 17037280 17478400 17751500 18177536 19003120 19005440 19302400 19799750 20274944 20591740 20968960 21296600 21299200 21848000 22369621 22372352 22721920 23753900 23756800 24128000 24704056 24707072 25343680 25739675 26211200 26620750 26624000 27259648 27965440 28402400 29692375 29696000 30404992 30880070 30883840 31679600 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223723520 227219200 237539000 237568000 243239936 247040560 247070720 253436800 257396750 262112000 263574272 268402688 272596480 279654400 284024000 290805073 290840576 304049920 308800700 308838400 316796000 324399104 329467840 335503360 340745600 349568000 357913936 357957632 363550720 380062400 386000875 386048000 395264896 405498880 411834800 419379200 425932000 436154368 447392420 447447040 454438400 475078000 475136000 486479872 494081120 506873600 514793500 524224000 527148544 536805376 545192960 559240525 559308800 568048000 581610146 581681152 608099840 617601400 617676800 633592000 648719009 648798208 658935680 671006720 681491200 699136000 715827872 727101440 760124800 772001750 772096000 790529792 810997760 823669600 838758400 851864000 872308736 894784840 894894080 908876800 950156000 972959744 988162240 1013747200 1029587000 1048448000 1054297088 1073610752 1090385920 1118481050 1118617600 1136096000 1163220292 1163362304 1216199680 1235202800 1235353600 1267184000 1297438018 1297596416 1317871360 1342013440 1362982400 1398272000 1431655744 1454025365 1454202880 1520249600 1544003500 1544192000 1581059584 1621995520 1647339200 1677516800 1703728000 1744617472 1789569680 1789788160 1817753600 1900312000 1945919488 1976324480 2027494400 2059174000 2096896000 2108594176 2180771840 2236962100 2237235200 2272192000 2326440584 2326724608 2432399360 2470405600 2534368000 2594876036 2595192832 2635742720 2684026880 2725964800 2796202625 2796544000 2863311488 2908050730 2908405760 3040499200 3088007000 3088384000 3162119168 3243595045 3243991040 3294678400 3355033600 3407456000 3489234944 3579139360 3635507200 3800624000 3891838976 3952648960 4054988800 4118348000 4193792000 4217188352 4361543680 4473924200 4474470400 4544384000 4652881168 4653449216 4864798720 4940811200 5068736000 5189752072 5190385664 5271485440 5368053760 5451929600 5592405250 5593088000 5726622976 5816101460 5816811520 6080998400 6176014000 6176768000 6324238336 6487190090 6487982080 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33550336000 33733388468 33737506816 34892349440 35791393600 36350634125 36355072000 37223049344 38918389760 39526489600 40549888000 41518016576 42166735585 42171883520 43615436800 44739242000 44744704000 45812983808 46528811680 48647987200 49408112000 50593906688 51897520720 51903856640 52714854400 54519296000 57266229760 58161014600 58168115200 60809984000 63242383360 64871900900 64879820800 65893568000 67100672000 67466776936 67475013632 69784698880 71582787200 72701268250 72710144000 74446098688 77836779520 79052979200 81089876125 81099776000 83036033152 84333471170 84343767040 87230873600 89478484000 91625967616 93057623360 97295974400 98816224000 101187813376 103795041440 105429708800 109038592000 114532459520 116322029200 116336230400 121619968000 126484766720 129743801800 129759641600 131787136000 134201344000 134933553872 134950027264 143165574400 145402536500 145420288000 148892197376 155673559040 158105958400 162179752250 162199552000 166072066304 168666942340 168687534080 174461747200 178956968000 183251935232 186115246720 194591948800 197632448000 202375626752 207590082880 210833677925 210859417600 218077184000 229064919040 232644058400 243239936000 252969533440 259487603600 259519283200 263574272000 269867107744 286331148800 290805073000 290840576000 297784394752 316211916800 324359504500 324399104000 332144132608 337333884680 337375068160 348923494400 357913936000 366503870464 372230493440 389183897600 395264896000 404751253504 415180165760 421667355850 421718835200 436154368000 458129838080 465288116800 486479872000 505939066880 518975207200 527148544000 539734215488 572662297600 581610146000 581681152000 595568789504 632423833600 648719009000 648798208000 664288265216 674667769360 674750136320 715827872000 733007740928 744460986880 778367795200 790529792000 830360331520 843334711700 843437670400 872308736000 916259676160 930576233600 972959744000 1011878133760 1037950414400 1054168389625 1054297088000 1079468430976 1145324595200 1163220292000 1191137579008 1264847667200 1297438018000 1297596416000 1328576530432 1349335538720 1431655744000 1466015481856 1488921973760 1581059584000 1660720663040 1686669423400 1686875340800 1744617472000 1832519352320 1861152467200 1945919488000 2023756267520 2075900828800 2108336779250 2108594176000 2158936861952 2290649190400 2326440584000 2382275158016 2529695334400 2594876036000 2657153060864 2698671077440 2863311488000 2932030963712 2977843947520 3162119168000 3321441326080 3373338846800 3373750681600 3665038704640 3722304934400 3891838976000 4151801657600 4216673558500 4217188352000 4317873723904 4581298380800 4652881168000 4764550316032 5059390668800 5189752072000 5314306121728 5397342154880 5726622976000 5955687895040 6324238336000 6642882652160 6746677693600 7330077409280 7444609868800 8303603315200 8433347117000 8434376704000 8635747447808 9162596761600 9305762336000 9529100632064 10118781337600 10379504144000 10628612243456 10794684309760 11453245952000 11911375790080 12648476672000 13285765304320 13493355387200 14660154818560 14889219737600 16607206630400 16866694234000 16868753408000 17271494895616 18325193523200 18611524672000 19058201264128 20759008288000 21257224486912 21589368619520 22906491904000 23822751580160 25296953344000 26571530608640 26986710774400 29778439475200 33214413260800 33733388468000 34542989791232 36650387046400 37223049344000 38116402528256 41518016576000 42514448973824 43178737239040 45812983808000 47645503160320 50593906688000 53143061217280 53973421548800 59556878950400 66428826521600 67466776936000 69085979582464 73300774092800 74446098688000 83036033152000 85028897947648 86357474478080 91625967616000 95291006320640 106286122434560 107946843097600 119113757900800 132857653043200 134933553872000 138171959164928 148892197376000 166072066304000 172714948956160 183251935232000 190582012641280 212572244869120 215893686195200 238227515801600 265715306086400 269867107744000 276343918329856 297784394752000 332144132608000 345429897912320 366503870464000 425144489738240 431787372390400 476455031603200 531430612172800 539734215488000 552687836659712 595568789504000 664288265216000 690859795824640 863574744780800 952910063206400 1062861224345600 1079468430976000 1105375673319424 1191137579008000 1328576530432000 1381719591649280 1727149489561600 2125722448691200 2158936861952000 2382275158016000 2657153060864000 2763439183298560 3454298979123200 4317873723904000 4764550316032000 5314306121728000 5526878366597120 6908597958246400 8635747447808000 10628612243456000 13817195916492800 17271494895616000 27634391832985600 34542989791232000 69085979582464000 138171959164928000
- Sum of all divisors σ(n): 384399481008291840
- Sum of proper divisors (its aliquot sum) s(n): 246227521843363840
- 138171959164928000 is an abundant number, because the sum of its proper divisors (246227521843363840) is greater than itself. Its abundance is 108055562678435840
Bases of 138171959164928000
- Binary: 1111010101110001010101010001011111111001000000000000000002
- Hexadecimal: 0x1EAE2AA2FF20000
- Base-36: 11SHVDR4J4ZK
Squares and roots of 138171959164928000
- 138171959164928000 squared (1381719591649280002) is 19091490299474530735105245184000000
- 138171959164928000 cubed (1381719591649280003) is 2637908618056613894386937203328033333706752000000000
-
The
square root of 138171959164928000 is 371714889.6196223131 -
The
cube root of 138171959164928000 is 516979.4797788689
Scales and comparisons
How big is 138171959164928000?- 138,171,959,164,928,000 seconds is equal to 4,393,440,907 years, 26 weeks, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,171,959,164,928,000 would take you about thirteen billion, one hundred eighty million, three hundred twenty-two thousand, seven hundred twenty-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 138171959164928000 cubic inches would be around 43081.6 feet tall.
Recreational maths with 138171959164928000
- 138171959164928000 backwards is 000829461959171831
- The number of decimal digits it has is: 18
- The sum of 138171959164928000's digits is 74
- More coming soon!
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Numbermatics. (2024). Number 138171959164928000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138171959164928000/
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The information we have on file for 138171959164928000 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 138171959164928000, math, Factors of 138171959164928000, curriculum, school, college, exams, university, Prime factorization of 138171959164928000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred seventy-one trillion, nine hundred fifty-nine billion, one hundred sixty-four million, nine hundred twenty-eight thousand.