138268028160000
138,268,028,160,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138268028160000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
138268028160000 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 138268028160000:
211 × 33 × 54 × 19 × 29 × 53 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 29 × 53 × 137)See below for interesting mathematical facts about the number 138268028160000 from the Numbermatics database.
Names of 138268028160000
- Cardinal: 138268028160000 can be written as One hundred thirty-eight trillion, two hundred sixty-eight billion, twenty-eight million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3826802816 × 1014
Factors of 138268028160000
Divisors of 138268028160000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 29 30 32 36 38 40 45 48 50 53 54 57 58 60 64 72 75 76 80 87 90 95 96 100 106 108 114 116 120 125 128 135 137 144 145 150 152 159 160 171 174 180 190 192 200 212 216 225 228 232 240 250 256 261 265 270 274 285 288 290 300 304 318 320 342 348 360 375 380 384 400 411 424 432 435 450 456 464 475 477 480 500 512 513 522 530 540 548 551 570 576 580 600 608 625 636 640 675 684 685 696 720 725 750 760 768 783 795 800 822 848 855 864 870 900 912 928 950 954 960 1000 1007 1024 1026 1044 1060 1080 1096 1102 1125 1140 1152 1160 1200 1216 1233 1250 1272 1280 1305 1325 1350 1368 1370 1392 1425 1431 1440 1450 1500 1520 1536 1537 1566 1590 1600 1644 1653 1696 1710 1728 1740 1800 1824 1856 1875 1900 1908 1920 2000 2014 2048 2052 2055 2088 2120 2160 2175 2192 2204 2250 2280 2304 2320 2375 2385 2400 2432 2466 2500 2544 2560 2565 2603 2610 2650 2700 2736 2740 2755 2784 2850 2862 2880 2900 3000 3021 3040 3072 3074 3132 3180 3200 3288 3306 3375 3392 3420 3425 3456 3480 3600 3625 3648 3699 3712 3750 3800 3816 3840 3915 3973 3975 4000 4028 4104 4110 4176 4240 4275 4320 4350 4384 4408 4500 4560 4608 4611 4640 4750 4770 4800 4864 4932 4959 5000 5035 5088 5120 5130 5206 5220 5300 5400 5472 5480 5510 5568 5625 5700 5724 5760 5800 6000 6042 6080 6144 6148 6165 6264 6360 6400 6525 6576 6612 6625 6750 6784 6840 6850 6912 6960 7125 7155 7200 7250 7261 7296 7398 7424 7500 7600 7632 7680 7685 7809 7830 7946 7950 8000 8056 8208 8220 8265 8352 8480 8550 8640 8700 8768 8816 9000 9063 9120 9216 9222 9280 9500 9540 9600 9728 9864 9918 10000 10070 10176 10240 10260 10275 10412 10440 10600 10800 10875 10944 10960 11020 11136 11250 11400 11448 11520 11600 11875 11919 11925 12000 12084 12160 12296 12330 12528 12720 12800 12825 13015 13050 13152 13224 13250 13500 13568 13680 13700 13775 13824 13833 13920 14250 14310 14400 14500 14522 14592 14796 14848 14877 15000 15105 15200 15264 15360 15370 15618 15660 15892 15900 16000 16112 16416 16440 16530 16704 16875 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- Sum of all divisors σ(n): 571990779360000
- Sum of proper divisors (its aliquot sum) s(n): 433722751200000
- 138268028160000 is an abundant number, because the sum of its proper divisors (433722751200000) is greater than itself. Its abundance is 295454723040000
Bases of 138268028160000
- Binary: 111110111000001000010001011001111001000000000002
- Hexadecimal: 0x7DC108B3C800
- Base-36: 1D0FGDZPC0
Squares and roots of 138268028160000
- 138268028160000 squared (1382680281600002) is 19118047611254552985600000000
- 138268028160000 cubed (1382680281600003) is 2643414745477165265141152874496000000000000
-
The
square root of 138268028160000 is 11758742.6266586851 -
The
cube root of 138268028160000 is 51709.9268176895
Scales and comparisons
How big is 138268028160000?- 138,268,028,160,000 seconds is equal to 4,396,495 years, 31 weeks, 3 days.
-
To count from 1 to 138,268,028,160,000 would take you about ten million, nine hundred ninety-one thousand, two hundred thirty-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 138268028160000 cubic inches would be around 4309.2 feet tall.
Recreational maths with 138268028160000
- 138268028160000 backwards is 000061820862831
- 138268028160000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138268028160000's digits is 45
- More coming soon!
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MLA style:
"Number 138268028160000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138268028160000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138268028160000/
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The information we have on file for 138268028160000 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 138268028160000, math, Factors of 138268028160000, curriculum, school, college, exams, university, Prime factorization of 138268028160000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred sixty-eight billion, twenty-eight million, one hundred sixty thousand.