138328646400000
138,328,646,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138328646400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5184 divisors.
138328646400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 138328646400000:
211 × 33 × 55 × 72 × 17 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 31 × 31)See below for interesting mathematical facts about the number 138328646400000 from the Numbermatics database.
Names of 138328646400000
- Cardinal: 138328646400000 can be written as One hundred thirty-eight trillion, three hundred twenty-eight billion, six hundred forty-six million, four hundred thousand.
Scientific notation
- Scientific notation: 1.383286464 × 1014
Factors of 138328646400000
Divisors of 138328646400000
- Number of divisors d(n): 5184
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 31 32 34 35 36 40 42 45 48 49 50 51 54 56 60 62 63 64 68 70 72 75 80 84 85 90 93 96 98 100 102 105 108 112 119 120 124 125 126 128 135 136 140 144 147 150 153 155 160 168 170 175 180 186 189 192 196 200 204 210 216 217 224 225 238 240 245 248 250 252 255 256 270 272 279 280 288 294 300 306 310 315 320 336 340 350 357 360 372 375 378 384 392 400 408 420 425 432 434 441 448 450 459 465 476 480 490 496 500 504 510 512 525 527 540 544 558 560 576 588 595 600 612 620 625 630 640 651 672 675 680 700 714 720 735 744 750 756 765 768 775 784 800 816 833 837 840 850 864 868 875 882 896 900 918 930 945 952 960 961 980 992 1000 1008 1020 1024 1050 1054 1071 1080 1085 1088 1116 1120 1125 1152 1176 1190 1200 1224 1225 1240 1250 1260 1275 1280 1302 1323 1344 1350 1360 1395 1400 1428 1440 1470 1488 1500 1512 1519 1530 1536 1550 1568 1575 1581 1600 1632 1666 1674 1680 1700 1728 1736 1750 1764 1785 1792 1800 1836 1860 1875 1890 1904 1920 1922 1953 1960 1984 2000 2016 2040 2048 2100 2108 2125 2142 2160 2170 2176 2205 2232 2240 2250 2295 2304 2325 2352 2380 2400 2448 2450 2480 2499 2500 2520 2550 2560 2604 2625 2635 2646 2688 2700 2720 2790 2800 2856 2880 2883 2940 2975 2976 3000 3024 3038 3060 3072 3100 3125 3136 3150 3162 3200 3213 3255 3264 3332 3348 3360 3375 3400 3456 3472 3500 3528 3570 3584 3600 3672 3675 3689 3720 3750 3780 3808 3825 3840 3844 3875 3906 3920 3968 4000 4032 4080 4165 4185 4200 4216 4250 4284 4320 4340 4352 4375 4410 4464 4480 4500 4557 4590 4608 4650 4704 4725 4743 4760 4800 4805 4896 4900 4960 4998 5000 5040 5100 5120 5208 5250 5270 5292 5355 5376 5400 5425 5440 5580 5600 5625 5712 5760 5766 5859 5880 5950 5952 6000 6048 6076 6120 6125 6144 6200 6250 6272 6300 6324 6375 6400 6426 6510 6528 6615 6664 6696 6720 6727 6750 6800 6912 6944 6975 7000 7056 7140 7168 7200 7344 7350 7378 7440 7497 7500 7560 7595 7616 7650 7680 7688 7750 7812 7840 7875 7905 7936 8000 8064 8160 8330 8370 8400 8432 8500 8568 8640 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2766572928000 2823033600000 2881846800000 3073969920000 3293539200000 3458216160000 3842462400000 3952247040000 4068489600000 4322770200000 4462214400000 4610954880000 4940308800000 5123283200000 5533145856000 5763693600000 6587078400000 6916432320000 7684924800000 8136979200000 8645540400000 9221909760000 9880617600000 11527387200000 13832864640000 15369849600000 17291080800000 19761235200000 23054774400000 27665729280000 34582161600000 46109548800000 69164323200000 138328646400000
- Sum of all divisors σ(n): 651842609090400
- Sum of proper divisors (its aliquot sum) s(n): 513513962690400
- 138328646400000 is an abundant number, because the sum of its proper divisors (513513962690400) is greater than itself. Its abundance is 375185316290400
Bases of 138328646400000
- Binary: 111110111001111001001011101010010111000000000002
- Hexadecimal: 0x7DCF25D4B800
- Base-36: 1D17AWIYO0
Squares and roots of 138328646400000
- 138328646400000 squared (1383286464000002) is 19134814414856232960000000000
- 138328646400000 cubed (1383286464000003) is 2646892977122270755959865344000000000000000
-
The
square root of 138328646400000 is 11761319.9259266815 -
The
cube root of 138328646400000 is 51717.4824491479
Scales and comparisons
How big is 138328646400000?- 138,328,646,400,000 seconds is equal to 4,398,423 years, 4 weeks.
-
To count from 1 to 138,328,646,400,000 would take you about ten million, nine hundred ninety-six thousand and fifty-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 138328646400000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138328646400000
- 138328646400000 backwards is 000004646823831
- 138328646400000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138328646400000's digits is 45
- More coming soon!
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The information we have on file for 138328646400000 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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