21997977616384000
21,997,977,616,384,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21997977616384000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
21997977616384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 21997977616384000:
217 × 53 × 7 × 112 × 23 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 11 × 23 × 41 × 41 × 41)See below for interesting mathematical facts about the number 21997977616384000 from the Numbermatics database.
Names of 21997977616384000
- Cardinal: 21997977616384000 can be written as Twenty-one quadrillion, nine hundred ninety-seven trillion, nine hundred seventy-seven billion, six hundred sixteen million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.1997977616384 × 1016
Factors of 21997977616384000
Divisors of 21997977616384000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 41 44 46 50 55 56 64 70 77 80 82 88 92 100 110 112 115 121 125 128 140 154 160 161 164 175 176 184 200 205 220 224 230 242 250 253 256 275 280 287 308 320 322 328 350 352 368 385 400 410 440 448 451 460 484 500 506 512 550 560 574 575 605 616 640 644 656 700 704 736 770 800 805 820 847 875 880 896 902 920 943 968 1000 1012 1024 1025 1100 1120 1148 1150 1210 1232 1265 1280 1288 1312 1375 1400 1408 1435 1472 1540 1600 1610 1640 1681 1694 1750 1760 1771 1792 1804 1840 1886 1925 1936 2000 2024 2048 2050 2200 2240 2255 2296 2300 2420 2464 2530 2560 2576 2624 2750 2783 2800 2816 2870 2875 2944 3025 3080 3157 3200 3220 3280 3362 3388 3500 3520 3542 3584 3608 3680 3772 3850 3872 4000 4025 4048 4096 4100 4235 4400 4480 4510 4592 4600 4715 4840 4928 4961 5060 5120 5125 5152 5248 5500 5566 5600 5632 5740 5750 5888 6050 6160 6314 6325 6400 6440 6560 6601 6724 6776 7000 7040 7084 7168 7175 7216 7360 7544 7700 7744 8000 8050 8096 8192 8200 8405 8470 8800 8855 8960 9020 9184 9200 9430 9625 9680 9856 9922 10120 10240 10250 10304 10373 10496 11000 11132 11200 11264 11275 11480 11500 11767 11776 12100 12320 12628 12650 12800 12880 13120 13202 13448 13552 13915 14000 14080 14168 14336 14350 14432 14720 15088 15125 15400 15488 15785 16000 16100 16192 16384 16400 16810 16940 17600 17710 17920 18040 18368 18400 18491 18860 19250 19360 19481 19712 19844 20125 20240 20480 20500 20608 20746 20992 21175 22000 22264 22400 22528 22550 22960 23000 23534 23552 23575 24200 24640 24805 25256 25300 25600 25760 26240 26404 26896 27104 27830 28000 28160 28336 28672 28700 28864 29440 30176 30250 30800 30976 31570 31625 32000 32200 32384 32768 32800 33005 33620 33880 34727 35200 35420 35840 35875 36080 36736 36800 36982 37720 38500 38663 38720 38962 39424 39688 40250 40480 40960 41000 41216 41492 41984 42025 42350 44000 44275 44528 44800 45056 45100 45920 46000 47068 47104 47150 48400 49280 49610 50512 50600 51200 51520 51865 52480 52808 53792 54208 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268268019712000 274974720204800 285688020992000 314256823091200 343718400256000 392821028864000 399963229388800 439959552327680 478216904704000 499954036736000 536536039424000 549949440409600 628513646182400 687436800512000 785642057728000 879919104655360 956433809408000 999908073472000 1099898880819200 1374873601024000 1571284115456000 1999816146944000 2199797761638400 2749747202048000 3142568230912000 4399595523276800 5499494404096000 10998988808192000 21997977616384000
- Sum of all divisors σ(n): 73771907855772672
- Sum of proper divisors (its aliquot sum) s(n): 51773930239388672
- 21997977616384000 is an abundant number, because the sum of its proper divisors (51773930239388672) is greater than itself. Its abundance is 29775952623004672
Bases of 21997977616384000
- Binary: 10011100010011100001011010010011001101000000000000000002
- Hexadecimal: 0x4E270B499A0000
- Base-36: 60LMRELUE4G
Squares and roots of 21997977616384000
- 21997977616384000 squared (219979776163840002) is 483911019210931490265235456000000
- 21997977616384000 cubed (219979776163840003) is 10645063768923638736741169156319403311104000000000
-
The
square root of 21997977616384000 is 148317152.1314510677 -
The
cube root of 21997977616384000 is 280195.3467441969
Scales and comparisons
How big is 21997977616384000?- 21,997,977,616,384,000 seconds is equal to 699,467,643 years, 51 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,997,977,616,384,000 would take you about two billion, ninety-eight million, four hundred two thousand, nine hundred thirty-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 21997977616384000 cubic inches would be around 23349.6 feet tall.
Recreational maths with 21997977616384000
- 21997977616384000 backwards is 00048361677979912
- The number of decimal digits it has is: 17
- The sum of 21997977616384000's digits is 79
- More coming soon!
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"Number 21997977616384000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 21997977616384000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/21997977616384000/
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The information we have on file for 21997977616384000 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 21997977616384000, math, Factors of 21997977616384000, curriculum, school, college, exams, university, Prime factorization of 21997977616384000, STEM, science, technology, engineering, physics, economics, calculator, twenty-one quadrillion, nine hundred ninety-seven trillion, nine hundred seventy-seven billion, six hundred sixteen million, three hundred eighty-four thousand.