138757865125376000
138,757,865,125,376,000 is an even composite number composed of five prime numbers multiplied together.
138757865125376000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 138757865125376000:
212 × 53 × 73 × 592 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 59 × 59 × 61 × 61 × 61)See below for interesting mathematical facts about the number 138757865125376000 from the Numbermatics database.
Names of 138757865125376000
- Cardinal: 138757865125376000 can be written as One hundred thirty-eight quadrillion, seven hundred fifty-seven trillion, eight hundred sixty-five billion, one hundred twenty-five million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38757865125376 × 1017
Factors of 138757865125376000
Divisors of 138757865125376000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 59 61 64 70 80 98 100 112 118 122 125 128 140 160 175 196 200 224 236 244 245 250 256 280 295 305 320 343 350 392 400 413 427 448 472 488 490 500 512 560 590 610 640 686 700 784 800 826 854 875 896 944 976 980 1000 1024 1120 1180 1220 1225 1280 1372 1400 1475 1525 1568 1600 1652 1708 1715 1750 1792 1888 1952 1960 2000 2048 2065 2135 2240 2360 2440 2450 2560 2744 2800 2891 2950 2989 3050 3136 3200 3304 3416 3430 3481 3500 3584 3599 3721 3776 3904 3920 4000 4096 4130 4270 4480 4720 4880 4900 5120 5488 5600 5782 5900 5978 6100 6125 6272 6400 6608 6832 6860 6962 7000 7168 7198 7375 7442 7552 7625 7808 7840 8000 8260 8540 8575 8960 9440 9760 9800 10240 10325 10675 10976 11200 11564 11800 11956 12200 12250 12544 12800 13216 13664 13720 13924 14000 14336 14396 14455 14750 14884 14945 15104 15250 15616 15680 16000 16520 17080 17150 17405 17920 17995 18605 18880 19520 19600 20237 20480 20650 20923 21350 21952 22400 23128 23600 23912 24367 24400 24500 25088 25193 25600 26047 26432 27328 27440 27848 28000 28672 28792 28910 29500 29768 29890 30208 30500 31232 31360 32000 33040 34160 34300 34810 35840 35990 37210 37760 39040 39200 40474 41300 41846 42700 42875 43904 44800 46256 47200 47824 48734 48800 49000 50176 50386 51200 51625 52094 52864 53375 54656 54880 55696 56000 57584 57820 59000 59536 59780 60416 61000 62464 62720 64000 66080 68320 68600 69620 71680 71980 72275 74420 74725 75520 78080 78400 80948 82600 83692 85400 85750 87025 87808 89600 89975 92512 93025 94400 95648 97468 97600 98000 100352 100772 101185 102400 103250 104188 104615 105728 106750 109312 109760 111392 112000 115168 115640 118000 119072 119560 120832 121835 122000 124928 125440 125965 128000 130235 132160 136640 137200 139240 143360 143960 144550 148840 149450 151040 156160 156800 161896 165200 167384 170569 170800 171500 174050 175616 176351 179200 179950 182329 185024 186050 188800 191296 194936 195200 196000 200704 201544 202370 206500 208376 209230 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790120861000 797229905920 809083761664 812399678720 813499904000 828979264000 839938650880 857080256000 884935364320 888562148600 918682899400 928456775680 932261926400 959929886720 963864025600 967898054725 996537382400 1011354702080 1015499598400 1049923313600 1065442201600 1084045821292 1101558886400 1106169205400 1110702685750 1137359550208 1138899865600 1148353624250 1160570969600 1165327408000 1175914111232 1199912358400 1204830032000 1238909510048 1245671728000 1264193377600 1269374498000 1299839485952 1312404142000 1326366822400 1331802752000 1343901841408 1355057276615 1371328409600 1376948608000 1382711506750 1415896582912 1421699437760 1423624832000 1450713712000 1469892639040 1491619082240 1499890448000 1542182440960 1548636887560 1580241722000 1594459811840 1618167523328 1624799357440 1657958528000 1679877301760 1714160512000 1769870728640 1777124297200 1837365798800 1856913551360 1864523852800 1919859773440 1927728051200 1935796109450 1993074764800 2022709404160 2030999196800 2099846627200 2168091642584 2212338410800 2221405371500 2274719100416 2296707248500 2321141939200 2330654816000 2351828222464 2399824716800 2409660064000 2477819020096 2491343456000 2528386755200 2538748996000 2599678971904 2624808284000 2663605504000 2687803682816 2710114553230 2753897216000 2765423013500 2831793165824 2843398875520 2847249664000 2901427424000 2939785278080 2999780896000 3097273775120 3160483444000 3236335046656 3249598714880 3315917056000 3359754603520 3428321024000 3539741457280 3554248594400 3674731597600 3729047705600 3855456102400 3871592218900 3986149529600 4045418808320 4061998393600 4199693254400 4336183285168 4424676821600 4442810743000 4549438200832 4593414497000 4642283878400 4661309632000 4703656444928 4799649433600 4819320128000 4839490273625 4955638040192 4982686912000 5056773510400 5077497992000 5249616568000 5327211008000 5420229106460 5507794432000 5530846027000 5663586331648 5686797751040 5694499328000 5802854848000 5879570556160 5999561792000 6194547550240 6320966888000 6499197429760 6631834112000 6719509207040 6775286383075 6856642048000 7079482914560 7108497188800 7349463195200 7458095411200 7710912204800 7743184437800 7972299059200 8090837616640 8123996787200 8399386508800 8672366570336 8849353643200 8885621486000 9098876401664 9186828994000 9284567756800 9322619264000 9407312889856 9599298867200 9638640256000 9678980547250 9911276080384 9965373824000 10113547020800 10154995984000 10499233136000 10840458212920 11061692054000 11327172663296 11373595502080 11605709696000 11759141112320 11999123584000 12389095100480 12641933776000 12998394859520 13439018414080 13550572766150 14158965829120 14216994377600 14698926390400 15486368875600 16181675233280 16247993574400 16798773017600 17344733140672 17698707286400 17771242972000 18197752803328 18373657988000 18645238528000 18814625779712 19277280512000 19357961094500 19822552160768 19930747648000 20227094041600 20309991968000 20998466272000 21680916425840 22123384108000 22654345326592 22747191004160 23211419392000 23518282224640 23998247168000 24778190200960 25283867552000 27101145532300 28317931658240 28433988755200 29397852780800 30972737751200 32495987148800 33597546035200 33876431915375 34689466281344 35397414572800 35542485944000 36747315976000 37290477056000 38554561024000 38715922189000 39645104321536 39861495296000 40454188083200 40619983936000 41996932544000 43361832851680 44246768216000 45494382008320 46422838784000 47036564449280 47996494336000 49556380401920 50567735104000 54202291064600 56635863316480 56867977510400 58795705561600 61945475502400 64991974297600 67195092070400 67752863830750 69378932562688 70794829145600 71084971888000 73494631952000 77431844378000 79290208643072 80908376166400 81239967872000 83993865088000 86723665703360 88493536432000 90988764016640 94073128898560 99112760803840 101135470208000 108404582129200 113271726632960 113735955020800 117591411123200 123890951004800 135505727661500 138757865125376 141589658291200 142169943776000 146989263904000 154863688756000 158580417286144 162479935744000 167987730176000 173447331406720 176987072864000 198225521607680 202270940416000 216809164258400 227471910041600 235182822246400 247781902009600 271011455323000 277515730250752 283179316582400 284339887552000 293978527808000 309727377512000 324959871488000 335975460352000 346894662813440 353974145728000 396451043215360 404541880832000 433618328516800 454943820083200 470365644492800 495563804019200 542022910646000 555031460501504 566358633164800 568679775104000 587957055616000 619454755024000 693789325626880 707948291456000 792902086430720 867236657033600 991127608038400 1084045821292000 1110062921003008 1137359550208000 1175914111232000 1238909510048000 1387578651253760 1415896582912000 1734473314067200 1982255216076800 2168091642584000 2274719100416000 2351828222464000 2477819020096000 2775157302507520 2831793165824000 3468946628134400 3964510432153600 4336183285168000 4955638040192000 5550314605015040 6937893256268800 8672366570336000 9911276080384000 13875786512537600 17344733140672000 19822552160768000 27751573025075200 34689466281344000 69378932562688000 138757865125376000
- Sum of all divisors σ(n): 417652899386361600
- Sum of proper divisors (its aliquot sum) s(n): 278895034260985600
- 138757865125376000 is an abundant number, because the sum of its proper divisors (278895034260985600) is greater than itself. Its abundance is 140137169135609600
Bases of 138757865125376000
- Binary: 1111011001111011110001011000011001001011011110000000000002
- Hexadecimal: 0x1ECF78B0C96F000
- Base-36: 11Y9K38HQLFK
Squares and roots of 138757865125376000
- 138757865125376000 squared (1387578651253760002) is 19253745134152037180199141376000000
- 138757865125376000 cubed (1387578651253760003) is 2671608570483032814464498945671569789157376000000000
-
The
square root of 138757865125376000 is 372502167.9472161141 -
The
cube root of 138757865125376000 is 517709.1845711099
Scales and comparisons
How big is 138757865125376000?- 138,757,865,125,376,000 seconds is equal to 4,412,070,904 years, 37 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,757,865,125,376,000 would take you about thirteen billion, two hundred thirty-six million, two hundred twelve thousand, seven hundred fourteen 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 138757865125376000 cubic inches would be around 43142.4 feet tall.
Recreational maths with 138757865125376000
- 138757865125376000 backwards is 000673521568757831
- The number of decimal digits it has is: 18
- The sum of 138757865125376000's digits is 74
- More coming soon!
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"Number 138757865125376000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138757865125376000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138757865125376000/
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The information we have on file for 138757865125376000 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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