144390968064000000
144,390,968,064,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 144390968064000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6300 divisors.
144390968064000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, three hundred divisors.
Prime factorization of 144390968064000000:
214 × 34 × 56 × 7 × 53 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 53 × 137 × 137)See below for interesting mathematical facts about the number 144390968064000000 from the Numbermatics database.
Names of 144390968064000000
- Cardinal: 144390968064000000 can be written as One hundred forty-four quadrillion, three hundred ninety trillion, nine hundred sixty-eight billion, sixty-four million.
Scientific notation
- Scientific notation: 1.44390968064 × 1017
Factors of 144390968064000000
Divisors of 144390968064000000
- Number of divisors d(n): 6300
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 53 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 106 108 112 120 125 126 128 135 137 140 144 150 159 160 162 168 175 180 189 192 200 210 212 216 224 225 240 250 252 256 265 270 274 280 288 300 315 318 320 324 336 350 360 371 375 378 384 400 405 411 420 424 432 448 450 477 480 500 504 512 525 530 540 548 560 567 576 600 625 630 636 640 648 672 675 685 700 720 742 750 756 768 795 800 810 822 840 848 864 875 896 900 945 954 959 960 1000 1008 1024 1050 1060 1080 1096 1113 1120 1125 1134 1152 1200 1233 1250 1260 1272 1280 1296 1325 1344 1350 1370 1400 1431 1440 1484 1500 1512 1536 1575 1590 1600 1620 1644 1680 1696 1728 1750 1792 1800 1855 1875 1890 1908 1918 1920 2000 2016 2025 2048 2055 2100 2120 2160 2192 2226 2240 2250 2268 2304 2385 2400 2466 2500 2520 2544 2560 2592 2625 2650 2688 2700 2740 2800 2835 2862 2877 2880 2968 3000 3024 3072 3125 3150 3180 3200 3240 3288 3339 3360 3375 3392 3425 3456 3500 3584 3600 3699 3710 3750 3780 3816 3836 3840 3975 4000 4032 4050 4096 4110 4200 4240 4293 4320 4375 4384 4452 4480 4500 4536 4608 4725 4770 4795 4800 4932 5000 5040 5088 5120 5184 5250 5300 5376 5400 5480 5565 5600 5625 5670 5724 5754 5760 5936 6000 6048 6144 6165 6250 6300 6360 6400 6480 6576 6625 6678 6720 6750 6784 6850 6912 7000 7155 7168 7200 7261 7398 7420 7500 7560 7632 7672 7680 7875 7950 8000 8064 8100 8192 8220 8400 8480 8586 8631 8640 8750 8768 8904 8960 9000 9072 9216 9275 9375 9450 9540 9590 9600 9864 10000 10017 10080 10125 10176 10240 10275 10368 10500 10600 10752 10800 10960 11097 11130 11200 11250 11340 11448 11508 11520 11872 11925 12000 12096 12288 12330 12500 12600 12720 12800 12960 13125 13152 13250 13356 13440 13500 13568 13700 13824 14000 14175 14310 14336 14385 14400 14522 14796 14840 15000 15120 15264 15344 15360 15625 15750 15900 16000 16128 16200 16384 16440 16695 16800 16875 16960 17125 17172 17262 17280 17500 17536 17808 17920 18000 18144 18432 18495 18550 18750 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- Sum of all divisors σ(n): 632488891733245008
- Sum of proper divisors (its aliquot sum) s(n): 488097923669245008
- 144390968064000000 is an abundant number, because the sum of its proper divisors (488097923669245008) is greater than itself. Its abundance is 343706955605245008
Bases of 144390968064000000
- Binary: 10000000001111101011010010000010000011101011000000000000002
- Hexadecimal: 0x200FAD2083AC000
- Base-36: 13HQBR00ZK00
Squares and roots of 144390968064000000
- 144390968064000000 squared (1443909680640000002) is 20848751658459067908096000000000000
- 144390968064000000 cubed (1443909680640000003) is 3010371434890830309769096823046144000000000000000000
-
The
square root of 144390968064000000 is 379988115.6878462167 -
The
cube root of 144390968064000000 is 524622.2141563623
Scales and comparisons
How big is 144390968064000000?- 144,390,968,064,000,000 seconds is equal to 4,591,186,153 years, 44 weeks.
-
To count from 1 to 144,390,968,064,000,000 would take you about thirteen billion, seven hundred seventy-three million, five hundred fifty-eight thousand, four hundred sixty-one 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 144390968064000000 cubic inches would be around 43718.5 feet tall.
Recreational maths with 144390968064000000
- 144390968064000000 backwards is 000000460869093441
- 144390968064000000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 144390968064000000's digits is 54
- More coming soon!
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The information we have on file for 144390968064000000 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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