138146518307840000
138,146,518,307,840,000 is an even composite number composed of seven prime numbers multiplied together.
138146518307840000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 138146518307840000:
213 × 54 × 72 × 53 × 61 × 181 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 53 × 61 × 181 × 941)See below for interesting mathematical facts about the number 138146518307840000 from the Numbermatics database.
Names of 138146518307840000
- Cardinal: 138146518307840000 can be written as One hundred thirty-eight quadrillion, one hundred forty-six trillion, five hundred eighteen billion, three hundred seven million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.3814651830784 × 1017
Factors of 138146518307840000
Divisors of 138146518307840000
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 53 56 61 64 70 80 98 100 106 112 122 125 128 140 160 175 181 196 200 212 224 244 245 250 256 265 280 305 320 350 362 371 392 400 424 427 448 488 490 500 512 530 560 610 625 640 700 724 742 784 800 848 854 875 896 905 941 976 980 1000 1024 1060 1120 1220 1225 1250 1267 1280 1325 1400 1448 1484 1525 1568 1600 1696 1708 1750 1792 1810 1855 1882 1952 1960 2000 2048 2120 2135 2240 2440 2450 2500 2534 2560 2597 2650 2800 2896 2968 2989 3050 3136 3200 3233 3392 3416 3500 3584 3620 3710 3764 3904 3920 4000 4096 4240 4270 4375 4480 4525 4705 4880 4900 5000 5068 5120 5194 5300 5600 5792 5936 5978 6100 6125 6272 6335 6400 6466 6587 6625 6784 6832 7000 7168 7240 7420 7528 7625 7808 7840 8000 8192 8480 8540 8750 8869 8960 9050 9275 9410 9593 9760 9800 10000 10136 10240 10388 10600 10675 11041 11200 11584 11872 11956 12200 12250 12544 12670 12800 12932 12985 13174 13250 13568 13664 14000 14336 14480 14840 14945 15056 15250 15616 15680 16000 16165 16960 17080 17500 17738 17920 18100 18550 18820 19186 19520 19600 20000 20272 20480 20776 21200 21350 22082 22400 22625 22631 23168 23525 23744 23912 24400 24500 25088 25340 25600 25864 25970 26348 26500 27136 27328 28000 28672 28960 29680 29890 30112 30500 30625 31232 31360 31675 32000 32330 32935 33125 33920 34160 35000 35476 35840 36200 37100 37640 38125 38372 39040 39200 40000 40544 40960 41552 42400 42700 44164 44345 44800 45250 45262 46109 46336 46375 47050 47488 47824 47965 48800 49000 49873 50176 50680 51200 51728 51940 52696 53000 53375 54272 54656 55205 56000 57344 57401 57920 59360 59780 60224 61000 61250 62464 62720 63350 64000 64660 64925 65870 66250 67151 67840 68320 70000 70952 71680 72400 74200 74725 75280 76250 76744 77287 78080 78400 80000 80825 81088 83104 84800 85400 88328 88690 89600 90500 90524 92218 92672 92750 94100 94976 95648 95930 97600 98000 99746 100352 101360 102400 103456 103880 105392 106000 106750 108544 109312 110410 112000 113125 113155 114802 115840 117625 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- Sum of all divisors σ(n): 418626831794803632
- Sum of proper divisors (its aliquot sum) s(n): 280480313486963632
- 138146518307840000 is an abundant number, because the sum of its proper divisors (280480313486963632) is greater than itself. Its abundance is 142333795179123632
Bases of 138146518307840000
- Binary: 1111010101100101110000110110001101011001000100000000000002
- Hexadecimal: 0x1EACB86C6B22000
- Base-36: 11S8UQDV320W
Squares and roots of 138146518307840000
- 138146518307840000 squared (1381465183078400002) is 19084460520578372297005465600000000
- 138146518307840000 cubed (1381465183078400003) is 2636451774701329805593813027518943330304000000000000
-
The
square root of 138146518307840000 is 371680667.1160607999 -
The
cube root of 138146518307840000 is 516947.7482841639
Scales and comparisons
How big is 138146518307840000?- 138,146,518,307,840,000 seconds is equal to 4,392,631,966 years, 49 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,146,518,307,840,000 would take you about thirteen billion, one hundred seventy-seven million, eight hundred ninety-five thousand, nine hundred 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 138146518307840000 cubic inches would be around 43079 feet tall.
Recreational maths with 138146518307840000
- 138146518307840000 backwards is 000048703815641831
- The number of decimal digits it has is: 18
- The sum of 138146518307840000's digits is 59
- More coming soon!
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"Number 138146518307840000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138146518307840000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138146518307840000/
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The information we have on file for 138146518307840000 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 138146518307840000, math, Factors of 138146518307840000, curriculum, school, college, exams, university, Prime factorization of 138146518307840000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-six trillion, five hundred eighteen billion, three hundred seven million, eight hundred forty thousand.