138968059104000
138,968,059,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138968059104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
138968059104000 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 138968059104000:
28 × 33 × 53 × 7 × 172 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 17 × 43 × 43 × 43)See below for interesting mathematical facts about the number 138968059104000 from the Numbermatics database.
Names of 138968059104000
- Cardinal: 138968059104000 can be written as One hundred thirty-eight trillion, nine hundred sixty-eight billion, fifty-nine million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.38968059104 × 1014
Factors of 138968059104000
Divisors of 138968059104000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 43 45 48 50 51 54 56 60 63 64 68 70 72 75 80 84 85 86 90 96 100 102 105 108 112 119 120 125 126 128 129 135 136 140 144 150 153 160 168 170 172 175 180 189 192 200 204 210 215 216 224 225 238 240 250 252 255 256 258 270 272 280 288 289 300 301 306 315 320 336 340 344 350 357 360 375 378 384 387 400 408 420 425 430 432 448 450 459 476 480 500 504 510 516 525 540 544 560 576 578 595 600 602 612 630 640 645 672 675 680 688 700 714 720 731 750 756 765 768 774 800 816 840 850 860 864 867 875 896 900 903 918 945 952 960 1000 1008 1020 1032 1050 1071 1075 1080 1088 1120 1125 1152 1156 1161 1190 1200 1204 1224 1260 1275 1280 1290 1344 1350 1360 1376 1400 1428 1440 1445 1462 1500 1505 1512 1530 1548 1575 1600 1632 1680 1700 1720 1728 1734 1750 1785 1792 1800 1806 1836 1849 1890 1904 1920 1935 2000 2016 2023 2040 2064 2100 2125 2142 2150 2160 2176 2193 2240 2250 2295 2304 2312 2322 2380 2400 2408 2448 2520 2550 2580 2601 2625 2688 2700 2709 2720 2752 2800 2856 2880 2890 2924 2975 3000 3010 3024 3060 3096 3150 3200 3213 3225 3264 3360 3375 3400 3440 3456 3468 3500 3570 3600 3612 3655 3672 3698 3780 3808 3825 3840 3870 4000 4032 4046 4080 4128 4200 4250 4284 4300 4320 4335 4352 4386 4480 4500 4515 4590 4624 4644 4725 4760 4800 4816 4896 5040 5100 5117 5160 5202 5250 5355 5375 5376 5400 5418 5440 5504 5547 5600 5712 5760 5780 5805 5848 5950 6000 6020 6048 6069 6120 6192 6300 6375 6400 6426 6450 6528 6579 6720 6750 6800 6880 6912 6936 7000 7140 7200 7224 7225 7310 7344 7396 7525 7560 7616 7650 7740 7803 7875 8000 8064 8092 8127 8160 8256 8400 8500 8568 8600 8640 8670 8772 8925 8960 9000 9030 9180 9245 9248 9288 9450 9520 9600 9632 9675 9792 10080 10115 10200 10234 10320 10404 10500 10710 10750 10800 10836 10880 10965 11008 11094 11200 11424 11475 11520 11560 11610 11696 11900 12000 12040 12096 12138 12240 12384 12427 12600 12750 12852 12900 12943 13005 13056 13158 13440 13500 13545 13600 13760 13872 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272486390400 275730276000 277936118208 289516789800 291949704000 302762656000 308817909120 310196560500 321685322000 323181532800 326983668480 330876331200 340607988000 347420147760 359090592000 361895987250 367640368000 370581490944 386022386400 389266272000 397051597440 403976916000 408729585600 413595414000 434275184700 441168441600 454143984000 461687904000 463226863680 480858336000 482527983000 496314496800 510911982000 514696515200 538635888000 542843980875 544972780800 551460552000 555872236416 579033579600 583899408000 617635818240 620393121000 643370644000 646363065600 661752662400 681215976000 694840295520 723791974500 735280736000 772044772800 794103194880 807953832000 817459171200 827190828000 868550369400 908287968000 926453727360 965055966000 992628993600 1021823964000 1029393030400 1077271776000 1085687961750 1102921104000 1111744472832 1158067159200 1167798816000 1240786242000 1286741288000 1323505324800 1362431952000 1389680591040 1447583949000 1544089545600 1615907664000 1634918342400 1654381656000 1737100738800 1852907454720 1930111932000 1985257987200 2043647928000 2171375923500 2205842208000 2316134318400 2481572484000 2573482576000 2724863904000 2779361182080 2895167898000 3088179091200 3231815328000 3308763312000 3474201477600 3860223864000 3970515974400 4087295856000 4342751847000 4632268636800 4963144968000 5146965152000 5558722364160 5790335796000 6617526624000 6948402955200 7720447728000 8174591712000 8685503694000 9264537273600 9926289936000 11580671592000 13896805910400 15440895456000 17371007388000 19852579872000 23161343184000 27793611820800 34742014776000 46322686368000 69484029552000 138968059104000
- Sum of all divisors σ(n): 637467806976000
- Sum of proper divisors (its aliquot sum) s(n): 498499747872000
- 138968059104000 is an abundant number, because the sum of its proper divisors (498499747872000) is greater than itself. Its abundance is 359531688768000
Bases of 138968059104000
- Binary: 111111001100100000001011100110001001011000000002
- Hexadecimal: 0x7E6405CC4B00
- Base-36: 1D9D1MCAO0
Squares and roots of 138968059104000
- 138968059104000 squared (1389680591040002) is 19312121451132837282816000000
- 138968059104000 cubed (1389680591040003) is 2683768035244654379273588651556864000000000
-
The
square root of 138968059104000 is 11788471.4490047437 -
The
cube root of 138968059104000 is 51797.0465741063
Scales and comparisons
How big is 138968059104000?- 138,968,059,104,000 seconds is equal to 4,418,754 years, 22 weeks.
-
To count from 1 to 138,968,059,104,000 would take you about eleven million, forty-six thousand, eight hundred eighty-six 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 138968059104000 cubic inches would be around 4316.4 feet tall.
Recreational maths with 138968059104000
- 138968059104000 backwards is 000401950869831
- 138968059104000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138968059104000's digits is 54
- More coming soon!
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"Number 138968059104000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 138968059104000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/138968059104000/
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The information we have on file for 138968059104000 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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