138138624000
138,138,624,000 is an even composite number composed of five prime numbers multiplied together.
138138624000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138138624000:
213 × 32 × 53 × 13 × 1153
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 1153)See below for interesting mathematical facts about the number 138138624000 from the Numbermatics database.
Names of 138138624000
- Cardinal: 138138624000 can be written as One hundred thirty-eight billion, one hundred thirty-eight million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38138624 × 1011
Factors of 138138624000
Divisors of 138138624000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 512 520 576 585 600 624 640 650 720 750 768 780 800 832 900 936 960 975 1000 1024 1040 1125 1152 1153 1170 1200 1248 1280 1300 1440 1500 1536 1560 1600 1625 1664 1800 1872 1920 1950 2000 2048 2080 2250 2304 2306 2340 2400 2496 2560 2600 2880 2925 3000 3072 3120 3200 3250 3328 3459 3600 3744 3840 3900 4000 4096 4160 4500 4608 4612 4680 4800 4875 4992 5120 5200 5760 5765 5850 6000 6144 6240 6400 6500 6656 6918 7200 7488 7680 7800 8000 8192 8320 9000 9216 9224 9360 9600 9750 9984 10240 10377 10400 11520 11530 11700 12000 12288 12480 12800 13000 13312 13836 14400 14625 14976 14989 15360 15600 16000 16640 17295 18000 18432 18448 18720 19200 19500 19968 20480 20754 20800 23040 23060 23400 24000 24576 24960 25600 26000 26624 27672 28800 28825 29250 29952 29978 30720 31200 32000 33280 34590 36000 36864 36896 37440 38400 39000 39936 40960 41508 41600 44967 46080 46120 46800 48000 49920 51200 51885 52000 53248 55344 57600 57650 58500 59904 59956 61440 62400 64000 66560 69180 72000 73728 73792 74880 74945 76800 78000 79872 83016 83200 86475 89934 92160 92240 93600 96000 99840 102400 103770 104000 106496 110688 115200 115300 117000 119808 119912 122880 124800 128000 133120 134901 138360 144000 144125 147584 149760 149890 153600 156000 159744 166032 166400 172950 179868 184320 184480 187200 192000 199680 204800 207540 208000 221376 224835 230400 230600 234000 239616 239824 249600 256000 259425 266240 269802 276720 288000 288250 295168 299520 299780 307200 312000 319488 332064 332800 345900 359736 368640 368960 374400 374725 384000 399360 415080 416000 432375 442752 449670 460800 461200 468000 479232 479648 499200 512000 518850 532480 539604 553440 576000 576500 590336 599040 599560 614400 624000 664128 665600 674505 691800 719472 737920 748800 749450 768000 798720 830160 832000 864750 885504 899340 921600 922400 936000 958464 959296 998400 1024000 1037700 1079208 1106880 1124175 1152000 1153000 1180672 1198080 1199120 1248000 1297125 1328256 1331200 1349010 1383600 1438944 1475840 1497600 1498900 1536000 1597440 1660320 1664000 1729500 1771008 1798680 1843200 1844800 1872000 1873625 1918592 1996800 2075400 2158416 2213760 2248350 2304000 2306000 2361344 2396160 2398240 2496000 2594250 2656512 2662400 2698020 2767200 2877888 2951680 2995200 2997800 3072000 3320640 3328000 3372525 3459000 3542016 3597360 3689600 3744000 3747250 3837184 3993600 4150800 4316832 4427520 4496700 4608000 4612000 4722688 4792320 4796480 4992000 5188500 5313024 5396040 5534400 5620875 5755776 5903360 5990400 5995600 6641280 6656000 6745050 6918000 7084032 7194720 7379200 7488000 7494500 7674368 7987200 8301600 8633664 8855040 8993400 9216000 9224000 9445376 9592960 9984000 10377000 10626048 10792080 11068800 11241750 11511552 11806720 11980800 11991200 13282560 13312000 13490100 13836000 14168064 14389440 14758400 14976000 14989000 15348736 16603200 16862625 17267328 17710080 17986800 18448000 19185920 19968000 20754000 21252096 21584160 22137600 22483500 23023104 23613440 23961600 23982400 26565120 26980200 27672000 28336128 28778880 29516800 29952000 29978000 30697472 33206400 33725250 34534656 35420160 35973600 36896000 38371840 39936000 41508000 42504192 43168320 44275200 44967000 46046208 47226880 47964800 53130240 53960400 55344000 57557760 59033600 59904000 59956000 61394944 66412800 67450500 69069312 70840320 71947200 73792000 76743680 83016000 85008384 86336640 88550400 89934000 92092416 95929600 106260480 107920800 110688000 115115520 118067200 119808000 119912000 122789888 132825600 134901000 138138624 141680640 143894400 147584000 153487360 166032000 172673280 177100800 179868000 184184832 191859200 212520960 215841600 221376000 230231040 236134400 239824000 265651200 269802000 276277248 287788800 295168000 306974720 332064000 345346560 354201600 359736000 368369664 383718400 425041920 431683200 442752000 460462080 479648000 531302400 539604000 552554496 575577600 590336000 613949440 664128000 690693120 708403200 719472000 767436800 863366400 885504000 920924160 959296000 1062604800 1079208000 1105108992 1151155200 1180672000 1328256000 1381386240 1438944000 1534873600 1726732800 1771008000 1841848320 1918592000 2125209600 2158416000 2302310400 2656512000 2762772480 2877888000 3069747200 3453465600 3542016000 3837184000 4316832000 4604620800 5313024000 5525544960 5755776000 6906931200 7674368000 8633664000 9209241600 10626048000 11511552000 13813862400 15348736000 17267328000 23023104000 27627724800 34534656000 46046208000 69069312000 138138624000
- Sum of all divisors σ(n): 536778640944
- Sum of proper divisors (its aliquot sum) s(n): 398640016944
- 138138624000 is an abundant number, because the sum of its proper divisors (398640016944) is greater than itself. Its abundance is 260501392944
Bases of 138138624000
- Binary: 100000001010011011010000100000000000002
- Hexadecimal: 0x2029B42000
- Base-36: 1RGK64G0
Squares and roots of 138138624000
- 138138624000 squared (1381386240002) is 19082279440613376000000
- 138138624000 cubed (1381386240003) is 2635999824709821476634624000000000
-
The
square root of 138138624000 is 371670.0472193045 -
The
cube root of 138138624000 is 5169.3790119705
Scales and comparisons
How big is 138138624000?- 138,138,624,000 seconds is equal to 4,392 years, 19 weeks, 5 days, 16 hours.
-
To count from 1 to 138,138,624,000 would take you about eight thousand, seven hundred eighty-four 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 138138624000 cubic inches would be around 430.8 feet tall.
Recreational maths with 138138624000
- 138138624000 backwards is 000426831831
- 138138624000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138138624000's digits is 36
- More coming soon!
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The information we have on file for 138138624000 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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