138188064000
138,188,064,000 is an even composite number composed of seven prime numbers multiplied together.
138188064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138188064000:
28 × 3 × 53 × 7 × 19 × 79 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 79 × 137)See below for interesting mathematical facts about the number 138188064000 from the Numbermatics database.
Names of 138188064000
- Cardinal: 138188064000 can be written as One hundred thirty-eight billion, one hundred eighty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.38188064 × 1011
Factors of 138188064000
Divisors of 138188064000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 79 80 84 95 96 100 105 112 114 120 125 128 133 137 140 150 152 158 160 168 175 190 192 200 210 224 228 237 240 250 256 266 274 280 285 300 304 316 320 336 350 375 380 384 395 399 400 411 420 448 456 474 475 480 500 525 532 548 553 560 570 600 608 632 640 665 672 685 700 750 760 768 790 798 800 822 840 875 896 912 948 950 959 960 1000 1050 1064 1096 1106 1120 1140 1185 1200 1216 1264 1280 1330 1344 1370 1400 1425 1500 1501 1520 1580 1596 1600 1644 1659 1680 1750 1792 1824 1896 1900 1918 1920 1975 1995 2000 2055 2100 2128 2192 2212 2240 2280 2370 2375 2400 2432 2528 2603 2625 2660 2688 2740 2765 2800 2850 2877 3000 3002 3040 3160 3192 3200 3288 3318 3325 3360 3425 3500 3648 3792 3800 3836 3840 3950 3990 4000 4110 4200 4256 4384 4424 4480 4503 4560 4740 4750 4795 4800 4864 5056 5206 5250 5320 5376 5480 5530 5600 5700 5754 5925 6000 6004 6080 6320 6384 6400 6576 6636 6650 6720 6850 7000 7125 7296 7505 7584 7600 7672 7809 7900 7980 8000 8220 8295 8400 8512 8768 8848 8960 9006 9120 9480 9500 9590 9600 9875 9975 10112 10275 10412 10500 10507 10640 10823 10960 11060 11200 11400 11508 11850 12000 12008 12160 12640 12768 13015 13152 13272 13300 13440 13700 13825 14000 14250 14385 14592 15010 15168 15200 15344 15618 15800 15960 16000 16440 16590 16625 16800 17024 17125 17536 17696 18012 18221 18240 18960 19000 19180 19200 19750 19950 20224 20550 20824 21000 21014 21280 21646 21920 22120 22400 22515 22800 23016 23700 23975 24000 24016 24320 25280 25536 26030 26304 26544 26600 26880 27400 27650 28000 28500 28770 29625 30020 30336 30400 30688 31236 31521 31600 31920 32000 32469 32880 33180 33250 33600 34048 34250 35072 35392 36024 36442 36480 37525 37920 38000 38360 39045 39500 39900 41100 41475 41648 42000 42028 42560 43292 43840 44240 44800 45030 45600 46032 47400 47950 48000 48032 49875 50560 51072 51375 52060 52535 52608 53088 53200 54115 54663 54800 55300 56000 57000 57540 59250 60040 60672 60800 61376 62472 63042 63200 63840 64938 65075 65760 66360 66500 67200 68500 69125 70784 71925 72048 72884 72960 75050 75761 75840 76000 76720 78090 79000 79800 82200 82950 83296 84000 84056 85120 86584 87680 88480 90060 91105 91200 92064 94800 95900 96000 96064 99750 101120 102144 102750 104120 105070 105216 106176 106400 108230 109326 109600 110600 112000 112575 114000 115080 118500 119875 120080 121600 122752 124944 126084 126400 127680 129876 130150 131520 132720 133000 134400 137000 138250 141568 143850 144096 145768 150100 151522 151680 152000 153440 156180 157605 158000 159600 162345 164400 165900 166592 168000 168112 170240 173168 175360 176960 180120 182210 182400 184128 187625 189600 191800 192128 195225 199500 205500 205637 207375 208240 210140 212352 212800 216460 218652 219200 221200 224000 225150 227283 228000 230160 237000 239750 240160 245504 249888 252168 252800 255360 259752 260300 262675 263040 265440 266000 270575 273315 274000 276500 287700 288192 291536 300200 303044 303360 304000 306880 312360 315210 316000 319200 324690 325375 328800 331800 333184 336000 336224 346336 353920 359625 360240 364420 364800 368256 375250 378805 379200 383600 384256 390450 399000 411000 411274 414750 416480 420280 424704 425600 432920 437304 438400 442400 450300 454566 455525 456000 460320 474000 479500 480320 499776 504336 505600 510720 519504 520600 525350 526080 530880 532000 541150 546630 548000 553000 562875 575400 576384 583072 600400 606088 608000 613760 616911 624720 630420 632000 638400 649380 650750 657600 663600 666368 672000 672448 692672 707840 719250 720480 728840 736512 750500 757610 758400 767200 780900 788025 798000 811725 822000 822548 829500 832960 840560 851200 865840 874608 876800 884800 900600 909132 911050 912000 920640 948000 959000 960640 976125 999552 1008672 1028185 1039008 1041200 1050700 1061760 1064000 1082300 1093260 1096000 1106000 1125750 1136415 1150800 1152768 1166144 1200800 1212176 1227520 1233822 1249440 1260840 1264000 1276800 1298760 1301500 1313375 1315200 1327200 1344896 1352875 1366575 1385344 1438500 1439459 1440960 1457680 1501000 1515220 1516800 1534400 1561800 1576050 1596000 1623450 1644000 1645096 1659000 1665920 1681120 1731680 1749216 1769600 1801200 1818264 1822100 1824000 1841280 1894025 1896000 1918000 1921280 1952250 1999104 2017344 2056370 2078016 2082400 2101400 2123520 2128000 2164600 2186520 2192000 2212000 2251500 2272830 2277625 2301600 2332288 2401600 2424352 2467644 2498880 2521680 2528000 2553600 2597520 2603000 2626750 2630400 2654400 2689792 2705750 2733150 2770688 2877000 2878918 2881920 2915360 3002000 3030440 3068800 3084555 3123600 3152100 3192000 3246900 3288000 3290192 3318000 3331840 3362240 3463360 3498432 3539200 3602400 3636528 3644200 3682560 3788050 3792000 3836000 3904500 3940125 4034688 4058625 4112740 4156032 4164800 4202800 4256000 4318377 4329200 4373040 4384000 4424000 4503000 4545660 4555250 4603200 4664576 4803200 4848704 4935288 4997760 5043360 5140925 5195040 5206000 5253500 5308800 5411500 5466300 5682075 5754000 5757836 5763840 5830720 6004000 6060880 6137600 6169110 6247200 6304200 6384000 6493800 6576000 6580384 6636000 6724480 6832875 6926720 6996864 7197295 7204800 7273056 7288400 7576100 7584000 7672000 7809000 7880250 8069376 8117250 8225480 8312064 8329600 8405600 8636754 8658400 8746080 8848000 9006000 9091320 9110500 9206400 9470125 9606400 9697408 9870576 9995520 10086720 10281850 10390080 10412000 10507000 10617600 10823000 10932600 11364150 11508000 11515672 11661440 12008000 12121760 12338220 12494400 12608400 12768000 12987600 13152000 13160768 13272000 13448960 13665750 13853440 13993728 14394590 14409600 14546112 14576800 15152200 15344000 15422775 15618000 15760500 16234500 16450960 16659200 16811200 17273508 17316800 17492160 17696000 18012000 18182640 18221000 18412800 18940250 19394816 19741152 20173440 20563700 20780160 20824000 21014000 21591885 21646000 21865200 22728300 23016000 23031344 23322880 24016000 24243520 24676440 24988800 25216800 25704625 25975200 26321536 26544000 27331500 28410375 28789180 28819200 29092224 29153600 30304400 30688000 30845550 31236000 31521000 32469000 32901920 33622400 34547016 34633600 34984320 35986475 36024000 36365280 36442000 37880500 39482304 40346880 41127400 41560320 41648000 42028000 43183770 43292000 43730400 45456600 46032000 46062688 48032000 48487040 49352880 49977600 50433600 51409250 51950400 52643072 53088000 54663000 56820750 57578360 58184448 58307200 60608800 61691100 62472000 63042000 64938000 65803840 67244800 69094032 69267200 69968640 71972950 72048000 72730560 72884000 75761000 77113875 78964608 82254800 83296000 84056000 86367540 86584000 87460800 90913200 92064000 92125376 96974080 98705760 100867200 102818500 103900800 107959425 109326000 113641500 115156720 116614400 121217600 123382200 124944000 126084000 129876000 131607680 138188064 143945900 144096000 145461120 145768000 151522000 154227750 157929216 164509600 168112000 172735080 173168000 174921600 179932375 181826400 184250752 197411520 201734400 205637000 207801600 215918850 218652000 227283000 230313440 242435200 246764400 249888000 252168000 259752000 263215360 276376128 287891800 290922240 291536000 303044000 308455500 329019200 336224000 345470160 346336000 349843200 359864750 363652800 368501504 394823040 411274000 431837700 437304000 454566000 460626880 484870400 493528800 504336000 519504000 539797125 552752256 575783600 583072000 606088000 616911000 658038400 690940320 719729500 727305600 789646080 822548000 863675400 874608000 909132000 921253760 987057600 1008672000 1039008000 1079594250 1105504512 1151567200 1212176000 1233822000 1316076800 1381880640 1439459000 1454611200 1645096000 1727350800 1749216000 1818264000 1842507520 1974115200 2159188500 2303134400 2424352000 2467644000 2763761280 2878918000 3290192000 3454701600 3636528000 3948230400 4318377000 4606268800 4935288000 5527522560 5757836000 6580384000 6909403200 7273056000 8636754000 9212537600 9870576000 11515672000 13818806400 17273508000 19741152000 23031344000 27637612800 34547016000 46062688000 69094032000 138188064000
- Sum of all divisors σ(n): 563241369600
- Sum of proper divisors (its aliquot sum) s(n): 425053305600
- 138188064000 is an abundant number, because the sum of its proper divisors (425053305600) is greater than itself. Its abundance is 286865241600
Bases of 138188064000
- Binary: 100000001011001010011010000101000000002
- Hexadecimal: 0x202CA68500
- Base-36: 1RHDLSLC
Squares and roots of 138188064000
- 138188064000 squared (1381880640002) is 19095941032068096000000
- 138188064000 cubed (1381880640003) is 2638831121479652102406144000000000
-
The
square root of 138188064000 is 371736.5518751149 -
The
cube root of 138188064000 is 5169.9956476537
Scales and comparisons
How big is 138188064000?- 138,188,064,000 seconds is equal to 4,393 years, 49 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,188,064,000 would take you about eight thousand, seven hundred eighty-seven 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 138188064000 cubic inches would be around 430.8 feet tall.
Recreational maths with 138188064000
- 138188064000 backwards is 000460881831
- The number of decimal digits it has is: 12
- The sum of 138188064000's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138188064000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138188064000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138188064000/
Chicago style:
Numbermatics. 2024. "Number 138188064000 - Facts about the integer". https://numbermatics.com/n/138188064000/
The information we have on file for 138188064000 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 138188064000, math, Factors of 138188064000, curriculum, school, college, exams, university, Prime factorization of 138188064000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred eighty-eight million, sixty-four thousand.