38673628221984000
38,673,628,221,984,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 38673628221984000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
38673628221984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 38673628221984000:
28 × 3 × 53 × 76 × 23 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 23 × 53 × 53 × 53)See below for interesting mathematical facts about the number 38673628221984000 from the Numbermatics database.
Names of 38673628221984000
- Cardinal: 38673628221984000 can be written as Thirty-eight quadrillion, six hundred seventy-three trillion, six hundred twenty-eight billion, two hundred twenty-one million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.8673628221984 × 1016
Factors of 38673628221984000
Divisors of 38673628221984000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 49 50 53 56 60 64 69 70 75 80 84 92 96 98 100 105 106 112 115 120 125 128 138 140 147 150 159 160 161 168 175 184 192 196 200 210 212 224 230 240 245 250 256 265 276 280 294 300 318 320 322 336 343 345 350 368 371 375 384 392 400 420 424 448 460 480 483 490 500 525 530 552 560 575 588 600 636 640 644 672 686 690 700 735 736 742 750 768 784 795 800 805 840 848 875 896 920 960 966 980 1000 1029 1050 1060 1104 1113 1120 1127 1150 1176 1200 1219 1225 1272 1280 1288 1325 1344 1372 1380 1400 1470 1472 1484 1500 1568 1590 1600 1610 1680 1696 1715 1725 1750 1792 1840 1855 1920 1932 1960 2000 2058 2100 2120 2208 2226 2240 2254 2300 2352 2400 2401 2415 2438 2450 2544 2576 2597 2625 2650 2688 2744 2760 2800 2809 2875 2940 2944 2968 3000 3136 3180 3200 3220 3360 3381 3392 3430 3450 3500 3657 3675 3680 3710 3840 3864 3920 3975 4000 4025 4116 4200 4240 4416 4452 4480 4508 4600 4704 4800 4802 4830 4876 4900 5088 5145 5152 5194 5250 5300 5376 5488 5520 5565 5600 5618 5635 5750 5880 5888 5936 6000 6095 6125 6272 6360 6400 6440 6625 6720 6762 6784 6860 6900 7000 7203 7314 7350 7360 7420 7728 7791 7840 7889 7950 8000 8050 8232 8400 8427 8480 8533 8575 8625 8832 8904 8960 9016 9200 9275 9408 9600 9604 9660 9752 9800 10176 10290 10304 10388 10500 10600 10976 11040 11130 11200 11236 11270 11500 11760 11872 12000 12005 12075 12190 12250 12544 12720 12880 12985 13250 13440 13524 13568 13720 13800 14000 14045 14406 14628 14700 14720 14840 15456 15582 15680 15778 15900 16000 16100 16464 16800 16807 16854 16905 16960 17066 17150 17250 17664 17808 18032 18179 18285 18375 18400 18550 18816 19200 19208 19320 19504 19600 19663 19875 20125 20352 20580 20608 20776 21000 21200 21952 22080 22260 22400 22472 22540 23000 23520 23667 23744 24000 24010 24150 24380 24500 25440 25599 25725 25760 25970 26500 26880 27048 27440 27600 27825 28000 28090 28175 28812 29256 29400 29440 29680 30475 30912 31164 31360 31556 31800 32000 32200 32928 33600 33614 33708 33810 33920 34132 34300 34500 35616 36015 36064 36358 36570 36750 36800 37100 37632 38416 38640 38955 39008 39200 39326 39445 39750 40250 40704 41160 41216 41552 42000 42135 42400 42665 42875 43904 44160 44520 44800 44944 45080 46000 46375 47040 47334 47488 48000 48020 48300 48760 49000 50421 50880 51198 51450 51520 51940 53000 54096 54537 54880 55200 55223 55650 56000 56180 56350 57624 58512 58800 58989 59360 59731 60025 60375 60950 61824 62328 62720 63112 63600 64400 64607 64925 65856 67200 67228 67416 67620 67840 68264 68600 69000 70225 71232 72030 72128 72716 73140 73500 73600 74200 76832 77280 77910 78016 78400 78652 78890 79500 80500 82320 83104 84000 84035 84270 84525 84800 85330 85750 87808 88320 89040 89888 90160 90895 91425 92000 92750 94080 94668 94976 96000 96040 96600 97520 98000 98315 100842 101760 102396 102900 103040 103880 106000 108192 109074 109760 110400 110446 111300 112000 112360 112700 115248 117024 117600 117649 117978 118335 118720 119462 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72969109852800 73664053756160 77347256443968 78925771881600 80069623648000 80570058795800 84073104830400 86325062995500 91211387316000 92080067195200 96684070554960 98657214852000 100712573494750 103129675258624 104241585504000 105091381038000 110496080634240 112097473107200 112751102688000 115100083994000 120104435472000 120855088193700 121615183088000 128912094073280 131542953136000 138120100792800 140121841384000 145938219705600 151068860242125 154694512887936 157851543763200 161140117591600 168146209660800 172650125991000 182422774632000 184160134390400 193368141109920 197314429704000 201425146989500 210182762076000 220992161268480 230200167988000 240208870944000 241710176387400 243230366176000 257824188146560 263085906272000 276240201585600 280243682768000 302137720484250 309389025775872 322280235183200 336292419321600 345300251982000 364845549264000 368320268780800 386736282219840 394628859408000 402850293979000 420365524152000 460400335976000 483420352774800 515648376293120 552480403171200 560487365536000 604275440968500 644560470366400 690600503964000 729691098528000 773472564439680 789257718816000 805700587958000 840731048304000 920800671952000 966840705549600 1104960806342400 1208550881937000 1289120940732800 1381201007928000 1546945128879360 1611401175916000 1681462096608000 1841601343904000 1933681411099200 2417101763874000 2578241881465600 2762402015856000 3222802351832000 3867362822198400 4834203527748000 5524804031712000 6445604703664000 7734725644396800 9668407055496000 12891209407328000 19336814110992000 38673628221984000
- Sum of all divisors σ(n): 159386419130964480
- Sum of proper divisors (its aliquot sum) s(n): 120712790908980480
- 38673628221984000 is an abundant number, because the sum of its proper divisors (120712790908980480) is greater than itself. Its abundance is 82039162686996480
Bases of 38673628221984000
- Binary: 100010010110010101110101110000000101100011001101000000002
- Hexadecimal: 0x896575C058CD00
- Base-36: AKSNNJBVMYO
Squares and roots of 38673628221984000
- 38673628221984000 squared (386736282219840002) is 1495649519852237325180896256000000
- 38673628221984000 cubed (386736282219840003) is 57842193481154304296640064904092842491904000000000
-
The
square root of 38673628221984000 is 196656116.6655743765 -
The
cube root of 38673628221984000 is 338172.5139150829
Scales and comparisons
How big is 38673628221984000?- 38,673,628,221,984,000 seconds is equal to 1,229,701,752 years, 3 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 38,673,628,221,984,000 would take you about three billion, six hundred eighty-nine million, one hundred five thousand, two hundred fifty-six 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 38673628221984000 cubic inches would be around 28181 feet tall.
Recreational maths with 38673628221984000
- 38673628221984000 backwards is 00048912282637683
- 38673628221984000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38673628221984000's digits is 69
- More coming soon!
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"Number 38673628221984000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 38673628221984000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/38673628221984000/
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The information we have on file for 38673628221984000 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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