138133465668000000
138,133,465,668,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138133465668000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6048 divisors.
138133465668000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 138133465668000000:
28 × 37 × 56 × 11 × 89 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 89 × 127 × 127)See below for interesting mathematical facts about the number 138133465668000000 from the Numbermatics database.
Names of 138133465668000000
- Cardinal: 138133465668000000 can be written as One hundred thirty-eight quadrillion, one hundred thirty-three trillion, four hundred sixty-five billion, six hundred sixty-eight million.
Scientific notation
- Scientific notation: 1.38133465668 × 1017
Factors of 138133465668000000
Divisors of 138133465668000000
- Number of divisors d(n): 6048
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 89 90 96 99 100 108 110 120 125 127 128 132 135 144 150 160 162 165 176 178 180 192 198 200 216 220 225 240 243 250 254 256 264 267 270 275 288 297 300 320 324 330 352 356 360 375 381 384 396 400 405 432 440 445 450 480 486 495 500 508 528 534 540 550 576 594 600 625 635 640 648 660 675 704 712 720 729 750 762 768 792 800 801 810 825 864 880 890 891 900 960 972 979 990 1000 1016 1056 1068 1080 1100 1125 1143 1152 1188 1200 1215 1250 1270 1280 1296 1320 1335 1350 1375 1397 1408 1424 1440 1458 1485 1500 1524 1584 1600 1602 1620 1650 1728 1760 1780 1782 1800 1875 1905 1920 1944 1958 1980 2000 2025 2032 2112 2136 2160 2187 2200 2225 2250 2286 2304 2376 2400 2403 2430 2475 2500 2540 2592 2640 2670 2673 2700 2750 2794 2816 2848 2880 2916 2937 2970 3000 3048 3125 3168 3175 3200 3204 3240 3300 3375 3429 3456 3520 3560 3564 3600 3645 3750 3810 3840 3888 3916 3960 4000 4005 4050 4064 4125 4191 4224 4272 4320 4374 4400 4450 4455 4500 4572 4752 4800 4806 4860 4895 4950 5000 5080 5184 5280 5340 5346 5400 5500 5588 5625 5696 5715 5760 5832 5874 5940 6000 6075 6096 6250 6336 6350 6400 6408 6480 6600 6675 6750 6858 6875 6912 6985 7040 7120 7128 7200 7209 7290 7425 7500 7620 7776 7832 7920 8000 8010 8019 8100 8128 8250 8382 8448 8544 8640 8748 8800 8811 8900 8910 9000 9144 9375 9504 9525 9600 9612 9720 9790 9900 10000 10125 10160 10287 10368 10560 10680 10692 10800 10935 11000 11125 11176 11250 11303 11392 11430 11520 11664 11748 11880 12000 12015 12150 12192 12375 12500 12573 12672 12700 12816 12960 13200 13350 13365 13500 13716 13750 13970 14080 14240 14256 14400 14418 14580 14685 14850 15000 15240 15552 15625 15664 15840 15875 16000 16020 16038 16129 16200 16256 16500 16764 16875 17088 17145 17280 17496 17600 17622 17800 17820 18000 18225 18288 18750 19008 19050 19200 19224 19440 19580 19800 20000 20025 20250 20320 20574 20625 20736 20955 21120 21360 21384 21600 21627 21870 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46044488556000000 69066732834000000 138133465668000000
- Sum of all divisors σ(n): 574755829843708800
- Sum of proper divisors (its aliquot sum) s(n): 436622364175708800
- 138133465668000000 is an abundant number, because the sum of its proper divisors (436622364175708800) is greater than itself. Its abundance is 298488898507708800
Bases of 138133465668000000
- Binary: 1111010101011111110100111101110001011110000011001000000002
- Hexadecimal: 0x1EABFA7B8BC1900
- Base-36: 11S48632C000
Squares and roots of 138133465668000000
- 138133465668000000 squared (1381334656680000002) is 19080854337452534686224000000000000
- 138133465668000000 cubed (1381334656680000003) is 2635704537538608586659102056557632000000000000000000
-
The
square root of 138133465668000000 is 371663107.7575497001 -
The
cube root of 138133465668000000 is 516931.4666691085
Scales and comparisons
How big is 138133465668000000?- 138,133,465,668,000,000 seconds is equal to 4,392,216,933 years, 19 weeks, 5 days.
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To count from 1 to 138,133,465,668,000,000 would take you about thirteen billion, one hundred seventy-six million, six hundred fifty thousand, eight 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 138133465668000000 cubic inches would be around 43077.6 feet tall.
Recreational maths with 138133465668000000
- 138133465668000000 backwards is 000000866564331831
- 138133465668000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138133465668000000's digits is 54
- More coming soon!
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The information we have on file for 138133465668000000 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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