138910734144000
138,910,734,144,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138910734144000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
138910734144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138910734144000:
29 × 32 × 53 × 7 × 13 × 31 × 53 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 31 × 53 × 1613)See below for interesting mathematical facts about the number 138910734144000 from the Numbermatics database.
Names of 138910734144000
- Cardinal: 138910734144000 can be written as One hundred thirty-eight trillion, nine hundred ten billion, seven hundred thirty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38910734144 × 1014
Factors of 138910734144000
Divisors of 138910734144000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 53 56 60 62 63 64 65 70 72 75 78 80 84 90 91 93 96 100 104 105 106 112 117 120 124 125 126 128 130 140 144 150 155 156 159 160 168 175 180 182 186 192 195 200 208 210 212 217 224 225 234 240 248 250 252 256 260 265 273 279 280 288 300 310 312 315 318 320 325 336 350 360 364 371 372 375 384 390 400 403 416 420 424 434 448 450 455 465 468 477 480 496 500 504 512 520 525 530 546 558 560 576 585 600 620 624 630 636 640 650 651 672 689 700 720 728 742 744 750 768 775 780 795 800 806 819 832 840 848 868 875 896 900 910 930 936 954 960 975 992 1000 1008 1040 1050 1060 1085 1092 1113 1116 1120 1125 1152 1170 1200 1209 1240 1248 1260 1272 1280 1300 1302 1325 1344 1365 1378 1395 1400 1440 1456 1484 1488 1500 1536 1550 1560 1575 1590 1600 1612 1613 1625 1638 1643 1664 1680 1696 1736 1750 1792 1800 1820 1855 1860 1872 1908 1920 1950 1953 1984 2000 2015 2016 2067 2080 2100 2120 2170 2184 2226 2232 2240 2250 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890453424000 896198284800 926071560960 964657876000 992219529600 1068544108800 1085240110500 1102466144000 1111285873152 1120247856000 1157589451200 1187271232000 1240274412000 1310478624000 1322959372800 1335680136000 1389107341440 1446986814000 1493663808000 1526491584000 1543452601600 1653699216000 1736384176800 1780906848000 1852143121920 1929315752000 1984439059200 2137088217600 2170480221000 2204932288000 2240495712000 2315178902400 2480548824000 2620957248000 2671360272000 2778214682880 2893973628000 3086905203200 3307398432000 3472768353600 3561813696000 3858631504000 3968878118400 4340960442000 4480991424000 4630357804800 4961097648000 5342720544000 5556429365760 5787947256000 6614796864000 6945536707200 7717263008000 8681920884000 9260715609600 9922195296000 10685441088000 11575894512000 13891073414400 15434526016000 17363841768000 19844390592000 23151789024000 27782146828800 34727683536000 46303578048000 69455367072000 138910734144000
- Sum of all divisors σ(n): 648050538110976
- Sum of proper divisors (its aliquot sum) s(n): 509139803966976
- 138910734144000 is an abundant number, because the sum of its proper divisors (509139803966976) is greater than itself. Its abundance is 370229069822976
Bases of 138910734144000
- Binary: 111111001010110101011001111011011010010000000002
- Hexadecimal: 0x7E56ACF6D200
- Base-36: 1D8MPKJGG0
Squares and roots of 138910734144000
- 138910734144000 squared (1389107341440002) is 19296192060425047412736000000
- 138910734144000 cubed (1389107341440003) is 2680448205297267344789165535657984000000000
-
The
square root of 138910734144000 is 11786039.7990164619 -
The
cube root of 138910734144000 is 51789.9234216975
Scales and comparisons
How big is 138910734144000?- 138,910,734,144,000 seconds is equal to 4,416,931 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 138,910,734,144,000 would take you about eleven million, forty-two thousand, three hundred twenty-nine 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 138910734144000 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138910734144000
- 138910734144000 backwards is 000441437019831
- 138910734144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138910734144000's digits is 45
- More coming soon!
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MLA style:
"Number 138910734144000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138910734144000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138910734144000/
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The information we have on file for 138910734144000 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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