138813714144000
138,813,714,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138813714144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138813714144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138813714144000:
28 × 33 × 53 × 7 × 59 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 59 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138813714144000 from the Numbermatics database.
Names of 138813714144000
- Cardinal: 138813714144000 can be written as One hundred thirty-eight trillion, eight hundred thirteen billion, seven hundred fourteen million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38813714144 × 1014
Factors of 138813714144000
Divisors of 138813714144000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 59 60 63 64 70 72 73 75 80 84 90 96 100 105 108 112 118 120 125 126 128 135 140 144 146 150 160 168 175 177 180 189 192 200 210 216 219 224 225 236 240 250 252 256 270 280 288 292 295 300 315 320 336 350 354 360 365 375 378 384 400 413 420 432 438 448 450 472 480 500 504 511 525 531 540 560 576 584 590 600 630 640 657 672 675 700 708 720 730 750 756 768 800 826 840 864 875 876 885 896 900 944 945 960 1000 1008 1022 1050 1062 1080 1095 1120 1125 1152 1168 1180 1200 1239 1260 1280 1314 1344 1350 1400 1416 1440 1460 1475 1500 1512 1533 1575 1593 1600 1652 1680 1728 1750 1752 1770 1792 1800 1825 1888 1890 1920 1971 2000 2016 2044 2065 2100 2124 2160 2190 2240 2250 2304 2336 2360 2400 2478 2520 2555 2625 2628 2655 2688 2700 2800 2832 2880 2920 2950 3000 3024 3066 3150 3186 3200 3285 3304 3360 3375 3456 3500 3504 3540 3600 3650 3717 3776 3780 3840 3942 4000 4032 4088 4130 4200 4248 4307 4320 4380 4425 4480 4500 4599 4672 4720 4725 4800 4956 5040 5110 5250 5256 5310 5329 5376 5400 5475 5600 5664 5760 5840 5900 6000 6048 6132 6195 6300 6372 6400 6570 6608 6720 6750 6912 7000 7008 7080 7200 7300 7375 7434 7552 7560 7665 7875 7884 7965 8000 8064 8176 8260 8400 8496 8614 8640 8760 8850 8960 9000 9125 9198 9344 9440 9450 9600 9855 9912 10080 10220 10325 10500 10512 10620 10658 10800 10950 11151 11200 11328 11520 11680 11800 12000 12096 12264 12390 12600 12744 12775 12921 13140 13216 13275 13440 13500 13797 14000 14016 14160 14400 14600 14750 14868 15104 15120 15330 15750 15768 15930 15987 16000 16128 16352 16425 16520 16800 16992 17228 17280 17520 17700 18000 18250 18396 18585 18688 18880 18900 19200 19710 19824 20160 20440 20650 21000 21024 21240 21316 21535 21600 21900 22125 22302 22400 22656 22995 23360 23600 23625 24000 24192 24528 24780 25200 25488 25550 25842 26280 26432 26550 26645 26880 27000 27375 27594 28000 28032 28320 28800 29200 29500 29736 30149 30240 30660 30975 31500 31536 31860 31974 32000 32704 32850 33040 33600 33984 34456 34560 35040 35400 36000 36500 36792 37170 37303 37760 37800 38325 38763 39420 39648 39825 40320 40880 41300 42000 42048 42480 42632 43070 43200 43800 44250 44604 44800 45312 45990 46720 47200 47250 47961 48000 48384 49056 49275 49560 50400 50976 51100 51625 51684 52560 52864 53100 53290 54000 54750 55188 55755 56000 56064 56640 57600 58400 59000 59472 60298 60480 61320 61950 63000 63072 63720 63875 63948 64605 65408 65700 66080 66375 67200 67968 68912 68985 70080 70800 72000 73000 73584 74340 74606 75520 75600 76650 77526 78840 79296 79650 79935 80640 81760 82125 82600 84000 84096 84960 85264 86140 86400 87600 88500 89208 90447 91980 92925 93440 94400 94500 95922 96000 98112 98550 99120 100800 101952 102200 103250 103368 105120 105728 106200 106580 107675 108000 109500 110376 111510 111909 112000 113280 114975 116289 116800 118000 118944 120596 120960 122640 123900 126000 126144 127440 127750 127896 129210 130816 131400 132160 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154926020250 156851654400 158463144000 158644244736 160664021000 165254421600 168055344000 173517142680 180747023625 183616024000 185084952192 190155772800 192796825200 196064568000 198305305920 205649946880 206568027000 211284192000 216896428350 220339228800 231356190240 235277481600 237694716000 240996031500 247881632400 257062433600 261419424000 264407074560 271651104000 275424036000 277627428288 289195237800 294096852000 308474920320 309852040500 316926288000 321328042000 330508843200 336110688000 347034285360 361494047250 367232048000 370169904384 380311545600 385593650400 392129136000 396610611840 413136054000 433792856700 440678457600 462712380480 470554963200 475389432000 481992063000 495763264800 514124867200 542241070875 550848072000 555254856576 578390475600 588193704000 616949840640 619704081000 633852576000 642656084000 661017686400 694068570720 722988094500 734464096000 771187300800 784258272000 793221223680 826272108000 867585713400 925424760960 950778864000 963984126000 991526529600 1028249734400 1084482141750 1101696144000 1110509713152 1156780951200 1176387408000 1239408162000 1285312168000 1322035372800 1388137141440 1445976189000 1542374601600 1652544216000 1735171426800 1850849521920 1901557728000 1927968252000 1983053059200 2168964283500 2203392288000 2313561902400 2352774816000 2478816324000 2570624336000 2776274282880 2891952378000 3084749203200 3305088432000 3470342853600 3855936504000 3966106118400 4337928567000 4627123804800 4957632648000 5141248672000 5552548565760 5783904756000 6610176864000 6940685707200 7711873008000 8675857134000 9254247609600 9915265296000 11567809512000 13881371414400 15423746016000 17351714268000 19830530592000 23135619024000 27762742828800 34703428536000 46271238048000 69406857072000 138813714144000
- Sum of all divisors σ(n): 603678426624000
- Sum of proper divisors (its aliquot sum) s(n): 464864712480000
- 138813714144000 is an abundant number, because the sum of its proper divisors (464864712480000) is greater than itself. Its abundance is 326050998336000
Bases of 138813714144000
- Binary: 111111001000000000101100001111100011011000000002
- Hexadecimal: 0x7E40161F1B00
- Base-36: 1D7E51C5C0
Squares and roots of 138813714144000
- 138813714144000 squared (1388137141440002) is 19269247234452145652736000000
- 138813714144000 cubed (1388137141440003) is 2674835777373302695086347395497984000000000
-
The
square root of 138813714144000 is 11781923.1937744359 -
The
cube root of 138813714144000 is 51777.8633298859
Scales and comparisons
How big is 138813714144000?- 138,813,714,144,000 seconds is equal to 4,413,846 years, 38 weeks.
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To count from 1 to 138,813,714,144,000 would take you about eleven million, thirty-four thousand, six hundred sixteen 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 138813714144000 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138813714144000
- 138813714144000 backwards is 000441417318831
- 138813714144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138813714144000's digits is 45
- More coming soon!
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The information we have on file for 138813714144000 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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