138718146996000
138,718,146,996,000 is an even composite number composed of six prime numbers multiplied together.
138718146996000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138718146996000:
25 × 311 × 53 × 11 × 13 × 372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 37 × 37)See below for interesting mathematical facts about the number 138718146996000 from the Numbermatics database.
Names of 138718146996000
- Cardinal: 138718146996000 can be written as One hundred thirty-eight trillion, seven hundred eighteen billion, one hundred forty-six million, nine hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.38718146996 × 1014
Factors of 138718146996000
Divisors of 138718146996000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 37 39 40 44 45 48 50 52 54 55 60 65 66 72 74 75 78 80 81 88 90 96 99 100 104 108 110 111 117 120 125 130 132 135 143 144 148 150 156 160 162 165 176 180 185 195 198 200 208 216 220 222 225 234 240 243 250 260 264 270 275 286 288 296 297 300 312 324 325 330 333 351 352 360 370 375 390 396 400 405 407 416 429 432 440 444 450 468 480 481 486 495 500 520 528 540 550 555 572 585 592 594 600 624 648 650 660 666 675 702 715 720 729 740 750 780 792 800 810 814 825 858 864 880 888 891 900 925 936 962 972 975 990 999 1000 1040 1053 1056 1080 1100 1110 1125 1144 1170 1184 1188 1200 1215 1221 1248 1287 1296 1300 1320 1332 1350 1369 1375 1404 1430 1440 1443 1458 1480 1485 1500 1560 1584 1620 1625 1628 1650 1665 1716 1755 1760 1776 1782 1800 1850 1872 1924 1944 1950 1980 1998 2000 2025 2035 2080 2106 2145 2160 2187 2200 2220 2250 2288 2340 2376 2400 2405 2430 2442 2475 2574 2592 2600 2640 2664 2673 2700 2738 2750 2775 2808 2860 2886 2916 2925 2960 2970 2997 3000 3120 3159 3168 3240 3250 3256 3300 3330 3375 3432 3510 3552 3564 3575 3600 3645 3663 3700 3744 3848 3861 3888 3900 3960 3996 4000 4050 4070 4107 4125 4212 4290 4320 4329 4374 4400 4440 4455 4500 4576 4625 4680 4752 4810 4860 4875 4884 4950 4995 5148 5200 5265 5280 5291 5328 5346 5400 5476 5500 5550 5616 5720 5772 5832 5850 5920 5940 5994 6000 6075 6105 6240 6318 6435 6480 6500 6512 6561 6600 6660 6750 6845 6864 7020 7128 7150 7200 7215 7290 7326 7400 7425 7696 7722 7776 7800 7920 7992 8019 8100 8140 8214 8250 8325 8424 8580 8658 8748 8775 8800 8880 8910 8991 9000 9250 9360 9477 9504 9620 9720 9750 9768 9900 9990 10125 10175 10296 10400 10530 10582 10656 10692 10725 10800 10935 10952 10989 11000 11100 11232 11440 11544 11583 11664 11700 11880 11988 12000 12025 12150 12210 12321 12375 12636 12870 12960 12987 13000 13024 13122 13200 13320 13365 13500 13690 13728 13875 14040 14256 14300 14430 14580 14625 14652 14800 14850 14985 15059 15392 15444 15600 15795 15840 15873 15984 16038 16200 16280 16428 16500 16650 16848 17160 17316 17496 17550 17760 17797 17820 17875 17982 18000 18225 18315 18500 18720 18954 19240 19305 19440 19500 19536 19683 19800 19980 20250 20350 20535 20592 21060 21164 21384 21450 21600 21645 21870 21904 21978 22000 22200 22275 22880 23088 23166 23328 23400 23760 23976 24050 24057 24300 24420 24642 24750 24975 25272 25740 25974 26000 26244 26325 26400 26455 26640 26730 26973 27000 27380 27750 28080 28431 28512 28600 28860 29160 29250 29304 29600 29700 29970 30118 30375 30525 30888 31200 31590 31746 31968 32076 32175 32400 32560 32805 32856 32967 33000 33300 33696 34225 34320 34632 34749 34992 35100 35594 35640 35750 35964 36000 36075 36450 36630 36963 37000 37125 37908 38480 38610 38880 38961 39000 39072 39366 39600 39960 40095 40500 40700 41070 41184 41625 42120 42328 42768 42900 43290 43740 43808 43875 43956 44000 44400 44550 44955 45177 46176 46332 46800 47385 47520 47619 47952 48100 48114 48600 48840 49284 49500 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32043924000 32110682175 32335232400 32934033000 33628641696 33776028000 34083082800 34251394320 34679536749 34714251000 35029835100 35568755640 35678535750 35928036000 36049414500 37050787125 37491391080 37870092000 38057104800 38532818610 38802278880 38922039000 39053532375 39520839600 40419040500 41101673184 41657101200 42035802120 42603853500 42682506768 42814242900 43787293875 43912044000 44460944550 46239382332 46285668000 46706446800 46864238850 47425007520 47571381000 48065886000 48502848600 49401049500 49988521440 50442962544 50664042000 51377091480 51896052000 52071376500 52544752650 53353133460 53517803625 53892054000 56047736160 56805138000 57085657200 57679063200 57799227915 58383058500 59281259400 60628560750 61652509776 62485651800 63053703180 63428508000 64221364350 64670464800 65868066000 66691416825 68166165600 68502788640 69359073498 69428502000 70059670200 71137511280 71357071500 72098829000 74101574250 74982782160 77065637220 77844078000 78107064750 78817128975 79041679200 80838081000 83314202400 84071604240 85207707000 85365013536 85628485800 87574587750 88921889100 92478764664 93412893600 93728477700 95142762000 96131772000 96332046525 97005697200 98802099000 100885925088 101328084000 102754182960 104142753000 105089505300 106706266920 107035607250 107784108000 111152361375 113610276000 114171314400 115598455830 116766117000 117160597125 118562518800 121257121500 123305019552 124971303600 126107406360 128442728700 131361881625 131736132000 133382833650 138718146996 138857004000 140119340400 142275022560 142714143000 144197658000 148203148500 149965564320 154131274440 155688156000 156214129500 157634257950 160553410875 161676162000 168143208480 170415414000 171256971600 173397683745 175149175500 177843778200 184957529328 187456955400 190285524000 192664093050 194011394400 197604198000 205508365920 208285506000 210179010600 213412533840 214071214500 222304722750 231196911660 233532234000 234321194250 237125037600 242514243000 249942607200 252214812720 256885457400 262723763250 266765667300 277436293992 280238680800 285428286000 288395316000 288996139575 296406297000 308262548880 312428259000 315268515900 321106821750 323352324000 333457084125 340830828000 342513943200 346795367490 350298351000 355687556400 369915058656 374913910800 385328186100 394085644875 395208396000 416571012000 420358021200 426825067680 428142429000 444609445500 462393823320 467064468000 468642388500 481660232625 485028486000 504429625440 513770914800 525447526500 533531334600 554872587984 570856572000 577992279150 592812594000 616525097760 624856518000 630537031800 642213643500 666914168250 693590734980 700596702000 711375112800 749827821600 770656372200 788171289750 840716042400 856284858000 866988418725 889218891000 924787646640 937284777000 963320465250 970056972000 1027541829600 1050895053000 1067062669200 1109745175968 1155984558300 1185625188000 1249713036000 1261074063600 1284427287000 1333828336500 1387181469960 1401193404000 1444980697875 1541312744400 1576342579500 1712569716000 1733976837450 1778437782000 1849575293280 1874569554000 1926640930500 2101790106000 2134125338400 2311969116600 2522148127200 2568854574000 2667656673000 2774362939920 2889961395750 3082625488800 3152685159000 3467953674900 3556875564000 3749139108000 3853281861000 4203580212000 4334942093625 4623938233200 5137709148000 5335313346000 5548725879840 5779922791500 6305370318000 6935907349800 7706563722000 8669884187250 9247876466400 10670626692000 11559845583000 12610740636000 13871814699600 15413127444000 17339768374500 23119691166000 27743629399200 34679536749000 46239382332000 69359073498000 138718146996000
- Sum of all divisors σ(n): 617295016316160
- Sum of proper divisors (its aliquot sum) s(n): 478576869320160
- 138718146996000 is an abundant number, because the sum of its proper divisors (478576869320160) is greater than itself. Its abundance is 339858722324160
Bases of 138718146996000
- Binary: 111111000101001110101011110000000100111001000002
- Hexadecimal: 0x7E29D5E02720
- Base-36: 1D668J4I00
Squares and roots of 138718146996000
- 138718146996000 squared (1387181469960002) is 19242724306003863824016000000
- 138718146996000 cubed (1387181469960003) is 2669315058883746067283818163055936000000000
-
The
square root of 138718146996000 is 11777866.8270616815 -
The
cube root of 138718146996000 is 51765.9783401187
Scales and comparisons
How big is 138718146996000?- 138,718,146,996,000 seconds is equal to 4,410,807 years, 51 weeks, 3 days, 18 hours.
-
To count from 1 to 138,718,146,996,000 would take you about eleven million, twenty-seven thousand and nineteen 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 138718146996000 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138718146996000
- 138718146996000 backwards is 000699641817831
- The number of decimal digits it has is: 15
- The sum of 138718146996000's digits is 63
- More coming soon!
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"Number 138718146996000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 138718146996000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138718146996000/
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The information we have on file for 138718146996000 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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