138204821664000
138,204,821,664,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138204821664000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 5184 divisors.
138204821664000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 138204821664000:
28 × 32 × 53 × 7 × 13 × 172 × 71 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 71 × 257)See below for interesting mathematical facts about the number 138204821664000 from the Numbermatics database.
Names of 138204821664000
- Cardinal: 138204821664000 can be written as One hundred thirty-eight trillion, two hundred four billion, eight hundred twenty-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.38204821664 × 1014
Factors of 138204821664000
Divisors of 138204821664000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 25 26 28 30 32 34 35 36 39 40 42 45 48 50 51 52 56 60 63 64 65 68 70 71 72 75 78 80 84 85 90 91 96 100 102 104 105 112 117 119 120 125 126 128 130 136 140 142 144 150 153 156 160 168 170 175 180 182 192 195 200 204 208 210 213 221 224 225 234 238 240 250 252 255 256 257 260 272 273 280 284 288 289 300 306 312 315 320 325 336 340 350 355 357 360 364 375 384 390 400 408 416 420 425 426 442 448 450 455 468 476 480 497 500 504 510 514 520 525 544 546 560 568 576 578 585 595 600 612 624 630 639 640 650 663 672 680 700 710 714 720 728 750 765 768 771 780 800 816 819 832 840 850 852 867 875 884 896 900 910 923 936 952 960 975 994 1000 1008 1020 1028 1040 1050 1065 1071 1088 1092 1105 1120 1125 1136 1152 1156 1170 1190 1200 1207 1224 1248 1260 1275 1278 1280 1285 1300 1326 1344 1360 1365 1400 1420 1428 1440 1445 1456 1491 1500 1530 1542 1547 1560 1575 1600 1625 1632 1638 1664 1680 1700 1704 1734 1750 1768 1775 1785 1792 1799 1800 1820 1846 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64884892800 65037563136 65811819840 66444625800 67220244000 67747461600 68316768000 68553979000 69102410832 69484576000 69519528000 70874267520 71981677950 72586566000 73827362000 74867184000 75936715200 76780456480 76823136000 77123226375 77425670400 77861871360 78170148000 78974183808 79702896000 81106116000 81296953920 82264774800 83055782250 84374128000 84684327000 85049121024 86378013540 87749093120 88592834400 89337312000 89626992000 90329948800 92136547776 92692704000 94920894000 95643475200 95975570600 96782088000 97327339200 98717729760 101248953600 101621192400 102830968500 104226864000 106311401280 107552390400 107972516925 108141488000 108395938560 109686366400 110741043000 112912436000 114502752000 115170684720 116138505600 118123779200 119554344000 119969463250 121659174000 122848730368 123397162200 125072236800 126561192000 127026490500 129042784000 129769785600 131623639680 132889251600 134440488000 135494923200 137107958000 138204821664 139039056000 141748535040 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438745465600 442964172000 451649744000 460682738880 478217376000 479877853000 486636696000 493588648800 506244768000 508105962000 531557006400 537761952000 539862584625 541979692800 548431832000 552819286656 575853423600 580692528000 590618896000 614243651840 616985811000 625361184000 648848928000 658118198400 664446258000 677474616000 691024108320 708742675200 719816779500 759367152000 767804564800 789741838080 812969539200 822647748000 863780135400 885928344000 903299488000 921365477760 959755706000 973273392000 987177297600 1016211924000 1063114012800 1079725169250 1096863664000 1105638573312 1151706847200 1161385056000 1181237792000 1233971622000 1316236396800 1328892516000 1354949232000 1382048216640 1439633559000 1518734304000 1535609129600 1625939078400 1645295496000 1727560270800 1771856688000 1842730955520 1919511412000 1946546784000 1974354595200 2032423848000 2126228025600 2159450338500 2193727328000 2303413694400 2467943244000 2657785032000 2709898464000 2764096433280 2879267118000 3071218259200 3290590992000 3455120541600 3543713376000 3839022824000 3948709190400 4064847696000 4318900677000 4606827388800 4935886488000 5315570064000 5528192866560 5758534236000 6581181984000 6910241083200 7678045648000 8129695392000 8637801354000 9213654777600 9871772976000 10631140128000 11517068472000 13820482166400 15356091296000 17275602708000 19743545952000 23034136944000 27640964332800 34551205416000 46068273888000 69102410832000 138204821664000
- Sum of all divisors σ(n): 661907727516672
- Sum of proper divisors (its aliquot sum) s(n): 523702905852672
- 138204821664000 is an abundant number, because the sum of its proper divisors (523702905852672) is greater than itself. Its abundance is 385498084188672
Bases of 138204821664000
- Binary: 111110110110010010100010100110100110001000000002
- Hexadecimal: 0x7DB2514D3100
- Base-36: 1CZMF2H4W0
Squares and roots of 138204821664000
- 138204821664000 squared (1382048216640002) is 19100572731178043728896000000
- 138204821664000 cubed (1382048216640003) is 2639791247992722946184465243602944000000000
-
The
square root of 138204821664000 is 11756054.6810569063 -
The
cube root of 138204821664000 is 51702.0462264413
Scales and comparisons
How big is 138204821664000?- 138,204,821,664,000 seconds is equal to 4,394,485 years, 43 weeks, 2 days, 8 hours.
-
To count from 1 to 138,204,821,664,000 would take you about ten million, nine hundred eighty-six thousand, two 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 138204821664000 cubic inches would be around 4308.5 feet tall.
Recreational maths with 138204821664000
- 138204821664000 backwards is 000466128402831
- 138204821664000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138204821664000's digits is 45
- More coming soon!
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The information we have on file for 138204821664000 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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