134200438848000
134,200,438,848,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 134200438848000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
134200438848000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 134200438848000:
29 × 33 × 53 × 7 × 192 × 73 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 19 × 73 × 421)See below for interesting mathematical facts about the number 134200438848000 from the Numbermatics database.
Names of 134200438848000
- Cardinal: 134200438848000 can be written as One hundred thirty-four trillion, two hundred billion, four hundred thirty-eight million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.34200438848 × 1014
Factors of 134200438848000
Divisors of 134200438848000
- 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 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 73 75 76 80 84 90 95 96 100 105 108 112 114 120 125 126 128 133 135 140 144 146 150 152 160 168 171 175 180 189 190 192 200 210 216 219 224 225 228 240 250 252 256 266 270 280 285 288 292 300 304 315 320 336 342 350 360 361 365 375 378 380 384 399 400 420 421 432 438 448 450 456 475 480 500 504 511 512 513 525 532 540 560 570 576 584 600 608 630 640 657 665 672 675 684 700 720 722 730 750 756 760 768 798 800 840 842 855 864 875 876 896 900 912 945 950 960 1000 1008 1022 1026 1050 1064 1080 1083 1095 1120 1125 1140 1152 1168 1197 1200 1216 1260 1263 1280 1314 1330 1344 1350 1368 1387 1400 1425 1440 1444 1460 1500 1512 1520 1533 1536 1575 1596 1600 1680 1684 1710 1728 1750 1752 1792 1800 1805 1824 1825 1890 1900 1920 1971 1995 2000 2016 2044 2052 2100 2105 2128 2160 2166 2190 2240 2250 2280 2304 2336 2375 2394 2400 2432 2520 2526 2527 2555 2560 2565 2625 2628 2660 2688 2700 2736 2774 2800 2850 2880 2888 2920 2947 3000 3024 3040 3066 3150 3192 3200 3249 3285 3325 3360 3368 3375 3420 3456 3500 3504 3584 3591 3600 3610 3648 3650 3780 3789 3800 3840 3942 3990 4000 4032 4088 4104 4161 4200 4210 4256 4275 4320 4332 4380 4480 4500 4560 4599 4608 4672 4725 4750 4788 4800 4864 5040 5052 5054 5110 5130 5250 5256 5320 5376 5400 5415 5472 5475 5548 5600 5700 5760 5776 5840 5894 5985 6000 6048 6080 6132 6300 6315 6384 6400 6498 6570 6650 6720 6736 6750 6840 6912 6935 7000 7008 7125 7182 7200 7220 7296 7300 7560 7578 7581 7600 7665 7680 7875 7884 7980 7999 8000 8064 8176 8208 8322 8400 8420 8512 8550 8640 8664 8760 8841 8960 9000 9025 9120 9125 9198 9344 9450 9500 9576 9600 9709 9728 9747 9855 9975 10080 10104 10108 10220 10260 10500 10512 10525 10640 10752 10800 10830 10944 10950 11096 11200 11367 11400 11520 11552 11680 11788 11970 12000 12096 12160 12264 12483 12600 12630 12635 12768 12775 12800 12825 12996 13140 13300 13440 13472 13500 13680 13797 13824 13870 14000 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838752742800 882897624000 894669592320 919181088000 931947492000 958574563200 994077324800 1009025856000 1048440928500 1065082848000 1073603510784 1118336990400 1177196832000 1198218204000 1242596656000 1278099417600 1342004388480 1397921238000 1412636198400 1491115987200 1597624272000 1677505485600 1765795248000 1789339184640 1838362176000 1863894984000 1917149126400 2096881857000 2130165696000 2236673980800 2354393664000 2396436408000 2485193312000 2684008776960 2795842476000 2982231974400 3195248544000 3355010971200 3531590496000 3727789968000 3834298252800 4193763714000 4473347961600 4792872816000 4970386624000 5368017553920 5591684952000 6390497088000 6710021942400 7063180992000 7455579936000 8387527428000 8946695923200 9585745632000 11183369904000 13420043884800 14911159872000 16775054856000 19171491264000 22366739808000 26840087769600 33550109712000 44733479616000 67100219424000 134200438848000
- Sum of all divisors σ(n): 607602226682880
- Sum of proper divisors (its aliquot sum) s(n): 473401787834880
- 134200438848000 is an abundant number, because the sum of its proper divisors (473401787834880) is greater than itself. Its abundance is 339201348986880
Bases of 134200438848000
- Binary: 111101000001101111110010111110001111010000000002
- Hexadecimal: 0x7A0DF97C7A00
- Base-36: 1BKITWC5C0
Squares and roots of 134200438848000
- 134200438848000 squared (1342004388480002) is 18009757786995787567104000000
- 134200438848000 cubed (1342004388480003) is 2416917398561019999032739048456192000000000
-
The
square root of 134200438848000 is 11584491.3072607551 -
The
cube root of 134200438848000 is 51197.8014762349
Scales and comparisons
How big is 134200438848000?- 134,200,438,848,000 seconds is equal to 4,267,158 years, 44 weeks.
-
To count from 1 to 134,200,438,848,000 would take you about ten million, six hundred sixty-seven thousand, eight hundred ninety-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 134200438848000 cubic inches would be around 4266.5 feet tall.
Recreational maths with 134200438848000
- 134200438848000 backwards is 000848834002431
- 134200438848000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 134200438848000's digits is 45
- More coming soon!
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MLA style:
"Number 134200438848000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 134200438848000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/134200438848000/
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The information we have on file for 134200438848000 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 134200438848000, math, Factors of 134200438848000, curriculum, school, college, exams, university, Prime factorization of 134200438848000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-four trillion, two hundred billion, four hundred thirty-eight million, eight hundred forty-eight thousand.