138331319165760000
138,331,319,165,760,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138331319165760000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5400 divisors.
138331319165760000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 138331319165760000:
29 × 3 × 54 × 72 × 232 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 138331319165760000 from the Numbermatics database.
Names of 138331319165760000
- Cardinal: 138331319165760000 can be written as One hundred thirty-eight quadrillion, three hundred thirty-one trillion, three hundred nineteen billion, one hundred sixty-five million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3833131916576 × 1017
Factors of 138331319165760000
Divisors of 138331319165760000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 53 56 60 64 69 70 75 80 84 92 96 98 100 105 106 112 115 120 125 128 138 140 147 150 159 160 161 168 175 184 192 196 200 210 212 224 230 240 245 250 256 265 276 280 294 300 318 320 322 336 345 350 368 371 375 384 392 400 420 424 448 460 480 483 490 500 512 525 529 530 552 560 575 588 600 625 636 640 644 672 690 700 735 736 742 750 768 784 795 800 805 840 848 875 896 920 960 966 980 1000 1050 1058 1060 1104 1113 1120 1127 1150 1176 1200 1219 1225 1250 1272 1280 1288 1325 1344 1380 1400 1470 1472 1484 1500 1536 1568 1587 1590 1600 1610 1680 1696 1725 1750 1792 1840 1855 1875 1920 1932 1960 1979 2000 2100 2116 2120 2208 2226 2240 2254 2300 2352 2400 2415 2438 2450 2500 2544 2560 2576 2597 2625 2645 2650 2688 2760 2800 2809 2875 2940 2944 2968 3000 3136 3174 3180 3200 3220 3360 3381 3392 3450 3500 3584 3657 3675 3680 3703 3710 3750 3840 3864 3920 3958 3975 4000 4025 4200 4232 4240 4375 4416 4452 4480 4508 4600 4704 4800 4830 4876 4900 5000 5088 5152 5194 5250 5290 5300 5376 5520 5565 5600 5618 5635 5750 5880 5888 5936 5937 6000 6095 6125 6272 6348 6360 6400 6440 6625 6720 6762 6784 6900 7000 7314 7350 7360 7406 7420 7500 7680 7728 7791 7840 7916 7935 7950 8000 8050 8400 8427 8464 8480 8533 8625 8750 8832 8904 8960 9016 9200 9275 9408 9600 9660 9752 9800 9895 10000 10176 10304 10388 10500 10580 10600 10752 11040 11109 11130 11200 11236 11270 11500 11760 11776 11872 11874 12000 12075 12190 12250 12544 12696 12720 12800 12880 12985 13125 13225 13250 13440 13524 13568 13800 13853 14000 14045 14375 14628 14700 14720 14812 14840 15000 15456 15582 15680 15832 15870 15900 16000 16100 16800 16854 16905 16928 16960 17066 17250 17500 17664 17808 17920 18032 18285 18375 18400 18515 18550 18816 19200 19320 19504 19600 19663 19790 19875 20000 20125 20352 20608 20776 21000 21160 21200 22080 22218 22260 22400 22472 22540 23000 23520 23744 23748 24000 24150 24380 24500 25088 25392 25440 25599 25760 25921 25970 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2610024889920000 2766626383315200 2823088146240000 2881902482620000 3007202590560000 3293602837280000 3458282979144000 3952323404736000 4322853723930000 4611043972192000 4940404255920000 5533252766630400 5763804965240000 6014405181120000 6587205674560000 6916565958288000 8645707447860000 9222087944384000 9880808511840000 11527609930480000 13833131916576000 17291414895720000 19761617023680000 23055219860960000 27666263833152000 34582829791440000 46110439721920000 69165659582880000 138331319165760000
- Sum of all divisors σ(n): 571048748629516080
- Sum of proper divisors (its aliquot sum) s(n): 432717429463756080
- 138331319165760000 is an abundant number, because the sum of its proper divisors (432717429463756080) is greater than itself. Its abundance is 294386110297996080
Bases of 138331319165760000
- Binary: 1111010110111001110011010000101000010111110110010000000002
- Hexadecimal: 0x1EB739A142FB200
- Base-36: 11U2CYQ6H1XC
Squares and roots of 138331319165760000
- 138331319165760000 squared (1383313191657600002) is 19135553862139359902356377600000000
- 138331319165760000 cubed (1383313191657600003) is 2647046408717191225296889218884647550976000000000000
-
The
square root of 138331319165760000 is 371929185.6869530479 -
The
cube root of 138331319165760000 is 517178.1553953231
Scales and comparisons
How big is 138331319165760000?- 138,331,319,165,760,000 seconds is equal to 4,398,508,062 years, 31 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,331,319,165,760,000 would take you about thirteen billion, one hundred ninety-five million, five hundred twenty-four thousand, one hundred eighty-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 138331319165760000 cubic inches would be around 43098.2 feet tall.
Recreational maths with 138331319165760000
- 138331319165760000 backwards is 000067561913133831
- The number of decimal digits it has is: 18
- The sum of 138331319165760000's digits is 57
- More coming soon!
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"Number 138331319165760000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138331319165760000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138331319165760000/
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The information we have on file for 138331319165760000 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 138331319165760000, math, Factors of 138331319165760000, curriculum, school, college, exams, university, Prime factorization of 138331319165760000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred thirty-one trillion, three hundred nineteen billion, one hundred sixty-five million, seven hundred sixty thousand.