138227924320640000
138,227,924,320,640,000 is an even composite number composed of six prime numbers multiplied together.
138227924320640000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, nine hundred sixty divisors.
Prime factorization of 138227924320640000:
210 × 54 × 72 × 113 × 61 × 2332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 61 × 233 × 233)See below for interesting mathematical facts about the number 138227924320640000 from the Numbermatics database.
Names of 138227924320640000
- Cardinal: 138227924320640000 can be written as One hundred thirty-eight quadrillion, two hundred twenty-seven trillion, nine hundred twenty-four billion, three hundred twenty million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.3822792432064 × 1017
Factors of 138227924320640000
Divisors of 138227924320640000
- Number of divisors d(n): 3960
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 61 64 70 77 80 88 98 100 110 112 121 122 125 128 140 154 160 175 176 196 200 220 224 233 242 244 245 250 256 275 280 305 308 320 350 352 385 392 400 427 440 448 466 484 488 490 500 512 539 550 560 605 610 616 625 640 671 700 704 770 784 800 847 854 875 880 896 932 968 976 980 1000 1024 1078 1100 1120 1165 1210 1220 1225 1232 1250 1280 1331 1342 1375 1400 1408 1525 1540 1568 1600 1631 1694 1708 1750 1760 1792 1864 1925 1936 1952 1960 2000 2135 2156 2200 2240 2330 2420 2440 2450 2464 2500 2560 2563 2662 2684 2695 2750 2800 2816 2989 3025 3050 3080 3136 3200 3262 3355 3388 3416 3500 3520 3584 3728 3850 3872 3904 3920 4000 4235 4270 4312 4375 4400 4480 4660 4697 4840 4880 4900 4928 5000 5120 5126 5324 5368 5390 5500 5600 5632 5825 5929 5978 6050 6100 6125 6160 6272 6400 6524 6655 6710 6776 6832 6875 7000 7040 7168 7381 7456 7625 7700 7744 7808 7840 8000 8155 8470 8540 8624 8750 8800 8960 9317 9320 9394 9625 9680 9760 9800 9856 10000 10252 10648 10675 10736 10780 11000 11200 11264 11417 11650 11858 11956 12100 12200 12250 12320 12544 12800 12815 13048 13310 13420 13475 13552 13664 13750 14000 14080 14213 14762 14912 14945 15125 15250 15400 15488 15616 15680 16000 16310 16775 16940 17080 17248 17500 17600 17920 17941 18634 18640 18788 19250 19360 19520 19600 19712 20000 20504 21175 21296 21350 21472 21560 22000 22400 22834 23300 23485 23716 23912 24200 24400 24500 24640 25088 25600 25630 26096 26620 26840 26950 27104 27328 27500 28000 28160 28193 28426 29125 29524 29645 29824 29890 30250 30500 30625 30800 30976 31232 31360 32000 32620 32879 33275 33550 33880 34160 34496 35000 35200 35840 35882 36905 37268 37280 37576 38125 38500 38720 39040 39200 39424 40000 40775 41008 42350 42592 42700 42944 43120 44000 44800 45668 46585 46600 46970 47432 47824 48125 48400 48800 49000 49280 50176 51260 51667 52192 53240 53375 53680 53900 54208 54289 54656 55000 56000 56320 56386 56852 57085 58250 59048 59290 59648 59780 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- Sum of all divisors σ(n): 450978920059819536
- Sum of proper divisors (its aliquot sum) s(n): 312750995739179536
- 138227924320640000 is an abundant number, because the sum of its proper divisors (312750995739179536) is greater than itself. Its abundance is 174523071418539536
Bases of 138227924320640000
- Binary: 1111010110001010110010000100101110010101111011100000000002
- Hexadecimal: 0x1EB1590972BDC00
- Base-36: 11T1PJSH9JI8
Squares and roots of 138227924320640000
- 138227924320640000 squared (1382279243206400002) is 19106959061992579205530009600000000
- 138227924320640000 cubed (1382279243206400003) is 2641115291218676880623283143169212678144000000000000
-
The
square root of 138227924320640000 is 371790161.6781164907 -
The
cube root of 138227924320640000 is 517049.2694617677
Scales and comparisons
How big is 138227924320640000?- 138,227,924,320,640,000 seconds is equal to 4,395,220,426 years, 18 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
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To count from 1 to 138,227,924,320,640,000 would take you about thirteen billion, one hundred eighty-five million, six hundred sixty-one thousand, two hundred seventy-nine 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 138227924320640000 cubic inches would be around 43087.4 feet tall.
Recreational maths with 138227924320640000
- 138227924320640000 backwards is 000046023429722831
- The number of decimal digits it has is: 18
- The sum of 138227924320640000's digits is 53
- More coming soon!
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The information we have on file for 138227924320640000 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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