71468719281344000
71,468,719,281,344,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 71468719281344000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
71468719281344000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 71468719281344000:
29 × 53 × 72 × 11 × 232 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 23 × 23 × 1979 × 1979)See below for interesting mathematical facts about the number 71468719281344000 from the Numbermatics database.
Names of 71468719281344000
- Cardinal: 71468719281344000 can be written as Seventy-one quadrillion, four hundred sixty-eight trillion, seven hundred nineteen billion, two hundred eighty-one million, three hundred forty-four thousand.
Scientific notation
- Scientific notation: 7.1468719281344 × 1016
Factors of 71468719281344000
Divisors of 71468719281344000
- Number of divisors d(n): 2160
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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 44 46 49 50 55 56 64 70 77 80 88 92 98 100 110 112 115 125 128 140 154 160 161 175 176 184 196 200 220 224 230 245 250 253 256 275 280 308 320 322 350 352 368 385 392 400 440 448 460 490 500 506 512 529 539 550 560 575 616 640 644 700 704 736 770 784 800 805 875 880 896 920 980 1000 1012 1058 1078 1100 1120 1127 1150 1225 1232 1265 1280 1288 1375 1400 1408 1472 1540 1568 1600 1610 1750 1760 1771 1792 1840 1925 1960 1979 2000 2024 2116 2156 2200 2240 2254 2300 2450 2464 2530 2560 2576 2645 2695 2750 2800 2816 2875 2944 3080 3136 3200 3220 3500 3520 3542 3584 3680 3703 3850 3920 3958 4000 4025 4048 4232 4312 4400 4480 4508 4600 4900 4928 5060 5152 5290 5390 5500 5600 5632 5635 5750 5819 5888 6125 6160 6272 6325 6400 6440 7000 7040 7084 7360 7406 7700 7840 7916 8000 8050 8096 8464 8624 8800 8855 8960 9016 9200 9625 9800 9856 9895 10120 10304 10580 10780 11000 11200 11270 11500 11638 11776 12250 12320 12397 12544 12650 12800 12880 13225 13475 13853 14000 14080 14168 14720 14812 15400 15680 15832 16000 16100 16192 16928 17248 17600 17710 17920 18032 18400 18515 19250 19600 19712 19790 20125 20240 20608 21160 21560 21769 22000 22400 22540 23000 23276 24500 24640 24794 25088 25300 25760 25921 26450 26950 27706 28000 28160 28175 28336 29095 29440 29624 30800 31360 31625 31664 32000 32200 32384 33856 34496 35200 35420 36064 36800 37030 38500 39200 39424 39580 40250 40480 40733 41216 42320 43120 43538 44000 44275 44800 45080 45517 46000 46552 49000 49280 49475 49588 50600 51520 51842 52900 53900 55412 56000 56350 56672 58190 58880 59248 61600 61985 62720 63250 63328 64000 64400 64768 66125 67375 67712 68992 69265 70400 70840 72128 73600 74060 77000 78400 79160 80500 80960 81466 82432 84640 86240 87076 88000 88550 89600 90160 91034 92000 92575 93104 96971 98000 98560 98950 99176 101200 103040 103684 105800 107800 108845 110824 112000 112700 113344 116380 118496 123200 123970 125440 126500 126656 128800 129536 129605 132250 134750 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70621264112000 71468719281344 72927264572800 77683390523200 79764195626500 81214453728800 81678536321536 88781017740800 89335899101680 91159080716000 92816518547200 97104238154000 101518067161000 102098170401920 110976272176000 111669873877100 116020648184000 124293424837120 127622713002400 129943125966080 132595026496000 135101548736000 139587342346375 141242528224000 142937438562688 145854529145600 155366781046400 159528391253000 162428907457600 178671798203360 182318161432000 185633037094400 194208476308000 203036134322000 204196340803840 221952544352000 223339747754200 232041296368000 255245426004800 259886251932160 279174684692750 282485056448000 285874877125376 291709058291200 310733562092800 319056782506000 324857814915200 357343596406720 364636322864000 388416952616000 406072268644000 408392681607680 443905088704000 446679495508400 464082592736000 510490852009600 558349369385500 571749754250752 621467124185600 638113565012000 649715629830400 714687192813440 729272645728000 776833905232000 812144537288000 893358991016800 928165185472000 1020981704019200 1116698738771000 1276227130024000 1299431259660800 1429374385626880 1458545291456000 1553667810464000 1624289074576000 1786717982033600 2041963408038400 2233397477542000 2552454260048000 2858748771253760 3107335620928000 3248578149152000 3573435964067200 4466794955084000 5104908520096000 6497156298304000 7146871928134400 8933589910168000 10209817040192000 14293743856268800 17867179820336000 35734359640672000 71468719281344000
- Sum of all divisors σ(n): 236533446775722096
- Sum of proper divisors (its aliquot sum) s(n): 165064727494378096
- 71468719281344000 is an abundant number, because the sum of its proper divisors (165064727494378096) is greater than itself. Its abundance is 93596008213034096
Bases of 71468719281344000
- Binary: 111111011110100001101011111010010101000100001110000000002
- Hexadecimal: 0xFDE86BE9510E00
- Base-36: JJPJODSGO3K
Squares and roots of 71468719281344000
- 71468719281344000 squared (714687192813440002) is 5107777835715551635826446336000000
- 71468719281344000 cubed (714687192813440003) is 365046340292225571202426785386119301955584000000000
-
The
square root of 71468719281344000 is 267336341.1161004127 -
The
cube root of 71468719281344000 is 414990.9888813091
Scales and comparisons
How big is 71468719281344000?- 71,468,719,281,344,000 seconds is equal to 2,272,484,205 years, 45 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 71,468,719,281,344,000 would take you about six billion, eight hundred seventeen million, four hundred fifty-two thousand, six hundred seventeen 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 71468719281344000 cubic inches would be around 34582.6 feet tall.
Recreational maths with 71468719281344000
- 71468719281344000 backwards is 00044318291786417
- The number of decimal digits it has is: 17
- The sum of 71468719281344000's digits is 65
- More coming soon!
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"Number 71468719281344000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 71468719281344000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/71468719281344000/
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The information we have on file for 71468719281344000 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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