138119551105276416000
138,119,551,105,276,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138119551105276416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 832 divisors.
138119551105276416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 138119551105276416000:
212 × 3 × 53 × 13 × 3221 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 3221 × 2147483647)See below for interesting mathematical facts about the number 138119551105276416000 from the Numbermatics database.
Names of 138119551105276416000
- Cardinal: 138119551105276416000 can be written as One hundred thirty-eight quintillion, one hundred nineteen quadrillion, five hundred fifty-one trillion, one hundred five billion, two hundred seventy-six million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38119551105276416 × 1020
Factors of 138119551105276416000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 2147486891
Divisors of 138119551105276416000
- Number of divisors d(n): 832
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 512 520 600 624 640 650 750 768 780 800 832 960 975 1000 1024 1040 1200 1248 1280 1300 1500 1536 1560 1600 1625 1664 1920 1950 2000 2048 2080 2400 2496 2560 2600 3000 3072 3120 3200 3221 3250 3328 3840 3900 4000 4096 4160 4800 4875 4992 5120 5200 6000 6144 6240 6400 6442 6500 6656 7680 7800 8000 8320 9600 9663 9750 9984 10240 10400 12000 12288 12480 12800 12884 13000 13312 15360 15600 16000 16105 16640 19200 19326 19500 19968 20480 20800 24000 24960 25600 25768 26000 26624 30720 31200 32000 32210 33280 38400 38652 39000 39936 41600 41873 48000 48315 49920 51200 51536 52000 53248 61440 62400 64000 64420 66560 76800 77304 78000 79872 80525 83200 83746 96000 96630 99840 102400 103072 104000 124800 125619 128000 128840 133120 153600 154608 156000 159744 161050 166400 167492 192000 193260 199680 206144 208000 209365 241575 249600 251238 256000 257680 266240 307200 309216 312000 322100 332800 334984 384000 386520 399360 402625 412288 416000 418730 483150 499200 502476 512000 515360 618432 624000 628095 644200 665600 669968 768000 773040 798720 805250 824576 832000 837460 966300 998400 1004952 1030720 1046825 1207875 1236864 1248000 1256190 1288400 1331200 1339936 1536000 1546080 1610500 1649152 1664000 1674920 1932600 1996800 2009904 2061440 2093650 2415750 2473728 2496000 2512380 2576800 2679872 3092160 3140475 3221000 3298304 3328000 3349840 3865200 3993600 4019808 4122880 4187300 4831500 4947456 4992000 5024760 5153600 5234125 5359744 6184320 6280950 6442000 6596608 6656000 6699680 7730400 8039616 8245760 8374600 9663000 9894912 9984000 10049520 10307200 10468250 10719488 12368640 12561900 12884000 13193216 13399360 15460800 15702375 16079232 16491520 16749200 19326000 19789824 19968000 20099040 20614400 20936500 21438976 24737280 25123800 25768000 26798720 30921600 31404750 32158464 32983040 33498400 38652000 39579648 40198080 41228800 41873000 42877952 49474560 50247600 51536000 53597440 61843200 62809500 64316928 65966080 66996800 77304000 80396160 82457600 83746000 85755904 98949120 100495200 103072000 107194880 123686400 125619000 128633856 133993600 154608000 160792320 164915200 167492000 171511808 197898240 200990400 206144000 214389760 247372800 251238000 257267712 267987200 309216000 321584640 329830400 334984000 401980800 412288000 428779520 494745600 502476000 514535424 535974400 618432000 643169280 669968000 803961600 824576000 857559040 989491200 1004952000 1071948800 1236864000 1286338560 1339936000 1607923200 1649152000 2009904000 2143897600 2147483647 2473728000 2572677120 2679872000 3215846400 4019808000 4287795200 4294967294 4947456000 5359744000 6431692800 6442450941 8039616000 8589934588 10719488000 10737418235 12863385600 12884901882 16079232000 17179869176 21438976000 21474836470 25769803764 27917287411 32158464000 32212254705 34359738352 42949672940 51539607528 53687091175 55834574822 64316928000 64424509410 68719476704 83751862233 85899345880 103079215056 107374182350 111669149644 128849018820 137438953408 139586437055 161061273525 167503724466 171798691760 206158430112 214748364700 223338299288 257698037640 268435455875 274877906816 279172874110 322122547050 335007448932 343597383520 412316860224 418759311165 429496729400 446676598576 515396075280 536870911750 549755813632 558345748220 644245094100 670014897864 687194767040 697932185275 805306367625 824633720448 837518622330 858993458800 893353197152 1030792150560 1073741823500 1099511627264 1116691496440 1288490188200 1340029795728 1374389534080 1395864370550 1610612735250 1649267440896 1675037244660 1717986917600 1786706394304 2061584301120 2093796555825 2147483647000 2199023254528 2233382992880 2576980376400 2680059591456 2748779068160 2791728741100 3221225470500 3298534881792 3350074489320 3435973835200 3489660926375 3573412788608 4123168602240 4187593111650 4294967294000 4398046509056 4466765985760 5153960752800 5360119182912 5497558136320 5583457482200 6442450941000 6597069763584 6700148978640 6871947670400 6917044826987 6979321852750 7146825577216 8246337204480 8375186223300 8589934588000 8796093018112 8933531971520 10307921505600 10468982779125 10720238365824 10995116272640 11166914964400 12884901882000 13194139527168 13400297957280 13743895340800 13834089653974 13958643705500 14293651154432 16492674408960 16750372446600 17179869176000 17867063943040 20615843011200 20751134480961 20937965558250 21440476731648 21990232545280 22333829928800 25769803764000 26388279054336 26800595914560 27487790681600 27668179307948 27917287411000 28587302308864 32985348817920 33500744893200 34359738352000 34585224134935 35734127886080 41231686022400 41502268961922 41875931116500 42880953463296 43980465090560 44667659857600 51539607528000 53601191829120 54975581363200 55336358615896 55834574822000 57174604617728 65970697635840 67001489786400 68719476704000 69170448269870 71468255772160 82463372044800 83004537923844 83751862233000 85761906926592 89335319715200 89921582750831 103079215056000 103755672404805 107202383658240 109951162726400 110672717231792 111669149644000 114349209235456 131941395271680 134002979572800 137438953408000 138340896539740 142936511544320 164926744089600 166009075847688 167503724466000 171523813853184 172926120674675 178670639430400 179843165501662 206158430112000 207511344809610 214404767316480 219902325452800 221345434463584 223338299288000 268005959145600 269764748252493 274877906816000 276681793079480 285873023088640 329853488179200 332018151695376 335007448932000 343047627706368 345852241349350 357341278860800 359686331003324 412316860224000 415022689619220 428809534632960 442690868927168 446676598576000 449607913754155 518778362024025 536011918291200 539529496504986 549755813632000 553363586158960 571746046177280 659706976358400 664036303390752 670014897864000 691704482698700 714682557721600 719372662006648 824633720448000 830045379238440 857619069265920 864630603373375 885381737854336 893353197152000 899215827508310 1037556724048050 1072023836582400 1079058993009972 1099511627264000 1106727172317920 1328072606781504 1340029795728000 1348823741262465 1383408965397400 1429365115443200 1438745324013296 1649267440896000 1660090758476880 1715238138531840 1729261206746750 1770763475708672 1786706394304000 1798431655016620 2075113448096100 2144047673164800 2158117986019944 2213454344635840 2248039568770775 2593891810120125 2656145213563008 2680059591456000 2697647482524930 2766817930794800 2858730230886400 2877490648026592 3298534881792000 3320181516953760 3458522413493500 3541526951417344 3573412788608000 3596863310033240 4150226896192200 4288095346329600 4316235972039888 4426908689271680 4496079137541550 5187783620240250 5312290427126016 5360119182912000 5395294965049860 5533635861589600 5754981296053184 6640363033907520 6744118706312325 6917044826987000 7083053902834688 7146825577216000 7193726620066480 8300453792384400 8576190692659200 8632471944079776 8853817378543360 8992158275083100 10375567240480500 10624580854252032 10720238365824000 10790589930099720 11067271723179200 11240197843853875 11509962592106368 13280726067815040 13488237412624650 13834089653974000 14166107805669376 14293651154432000 14387453240132960 16600907584768800 17264943888159552 17707634757086720 17984316550166200 20751134480961000 21249161708504064 21440476731648000 21581179860199440 22134543446358400 22480395687707750 23019925184212736 26561452135630080 26976474825249300 27668179307948000 28332215611338752 28774906480265920 33201815169537600 33720593531561625 34529887776319104 35415269514173440 35968633100332400 41502268961922000 42498323417008128 42880953463296000 43162359720398880 44269086892716800 44960791375415500 46039850368425472 53122904271260160 53952949650498600 55336358615896000 57549812960531840 66403630339075200 67441187063123250 69059775552638208 70830539028346880 71937266200664800 83004537923844000 84996646834016256 86324719440797760 88538173785433600 89921582750831000 92079700736850944 106245808542520320 107905899300997200 110672717231792000 115099625921063680 132807260678150400 134882374126246500 138119551105276416 141661078056693760 143874532401329600 166009075847688000 172649438881595520 177076347570867200 179843165501662000 184159401473701888 212491617085040640 215811798601994400 221345434463584000 230199251842127360 265614521356300800 269764748252493000 276239102210552832 287749064802659200 332018151695376000 345298877763191040 354152695141734400 359686331003324000 368318802947403776 424983234170081280 431623597203988800 442690868927168000 460398503684254720 531229042712601600 539529496504986000 552478204421105664 575498129605318400 664036303390752000 690597755526382080 708305390283468800 719372662006648000 863247194407977600 885381737854336000 920797007368509440 1062458085425203200 1079058993009972000 1104956408842211328 1150996259210636800 1328072606781504000 1381195511052764160 1438745324013296000 1726494388815955200 1770763475708672000 1841594014737018880 2124916170850406400 2158117986019944000 2301992518421273600 2656145213563008000 2762391022105528320 2877490648026592000 3452988777631910400 3541526951417344000 4316235972039888000 4603985036842547200 5312290427126016000 5524782044211056640 5754981296053184000 6905977555263820800 8632471944079776000 9207970073685094400 10624580854252032000 11509962592106368000 13811955110527641600 17264943888159552000 23019925184212736000 27623910221055283200 34529887776319104000 46039850368425472000 69059775552638208000 138119551105276416000
- Sum of all divisors σ(n): 495113710665052717056
- Sum of proper divisors (its aliquot sum) s(n): 356994159559776301056
- 138119551105276416000 is an abundant number, because the sum of its proper divisors (356994159559776301056) is greater than itself. Its abundance is 218874608454499885056
Bases of 138119551105276416000
- Binary: 11101111100110010110011011111110001000001100110100110010000000000002
- Hexadecimal: 0x77CCB37F106699000
- Base-36: T5D8EM79J2OLC
Squares and roots of 138119551105276416000
- 138119551105276416000 squared (1381195511052764160002) is 19077010397523063628701555765805056000000
- 138119551105276416000 cubed (1381195511052764160003) is 2634908112536576343186653011544110012897947650359296000000000
-
The
square root of 138119551105276416000 is 11752427455.8610407957 -
The
cube root of 138119551105276416000 is 5169141.0877828207
Scales and comparisons
How big is 138119551105276416000?- 138,119,551,105,276,416,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,119,551,105,276,416,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138119551105276416000 cubic inches would be around 430761.8 feet tall.
Recreational maths with 138119551105276416000
- 138119551105276416000 backwards is 000614672501155911831
- The number of decimal digits it has is: 21
- The sum of 138119551105276416000's digits is 66
- More coming soon!
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The information we have on file for 138119551105276416000 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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