968675371664000
968,675,371,664,000 is an even composite number composed of six prime numbers multiplied together.
968675371664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 968675371664000:
27 × 53 × 73 × 113 × 13 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 101 × 101)See below for interesting mathematical facts about the number 968675371664000 from the Numbermatics database.
Names of 968675371664000
- Cardinal: 968675371664000 can be written as Nine hundred sixty-eight trillion, six hundred seventy-five billion, three hundred seventy-one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 9.68675371664 × 1014
Factors of 968675371664000
Divisors of 968675371664000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 49 50 52 55 56 64 65 70 77 80 88 91 98 100 101 104 110 112 121 125 128 130 140 143 154 160 175 176 182 196 200 202 208 220 224 242 245 250 260 275 280 286 308 320 325 343 350 352 364 385 392 400 404 416 440 448 455 484 490 500 505 520 539 550 560 572 605 616 637 640 650 686 700 704 707 715 728 770 784 800 808 832 847 875 880 896 910 968 980 1000 1001 1010 1040 1078 1100 1111 1120 1144 1210 1225 1232 1274 1300 1313 1331 1372 1375 1400 1408 1414 1430 1456 1540 1568 1573 1600 1616 1625 1664 1694 1715 1750 1760 1820 1925 1936 1960 2000 2002 2020 2080 2156 2200 2222 2240 2275 2288 2420 2450 2464 2525 2548 2600 2626 2662 2695 2744 2750 2800 2828 2860 2912 3025 3080 3136 3146 3185 3200 3232 3250 3388 3430 3500 3520 3535 3575 3640 3773 3850 3872 3920 4000 4004 4040 4160 4235 4312 4400 4444 4459 4480 4550 4576 4840 4900 4928 4949 5005 5050 5096 5200 5252 5324 5390 5488 5500 5555 5600 5656 5720 5824 5929 6050 6125 6160 6272 6292 6370 6464 6500 6565 6655 6776 6860 7000 7007 7040 7070 7150 7280 7546 7700 7744 7777 7840 7865 8000 8008 8080 8320 8470 8575 8624 8800 8888 8918 9100 9152 9191 9317 9625 9680 9800 9856 9898 10010 10100 10192 10201 10400 10504 10648 10780 10976 11000 11011 11110 11200 11312 11375 11440 11648 11858 12100 12221 12250 12320 12584 12625 12740 12928 13000 13130 13310 13475 13552 13720 14000 14014 14140 14300 14443 14560 15092 15125 15400 15488 15554 15680 15730 15925 16000 16016 16160 16940 17150 17248 17303 17600 17675 17776 17836 17875 18200 18304 18382 18634 18865 19250 19360 19600 19796 20020 20200 20384 20402 20800 21008 21175 21296 21560 21952 22000 22022 22220 22295 22400 22624 22750 22880 23716 24200 24442 24500 24640 24745 25025 25168 25250 25480 26000 26260 26620 26950 27104 27440 27775 28000 28028 28280 28600 28886 29120 29645 30184 30250 30800 31108 31360 31460 31850 32032 32320 32825 33275 33880 34300 34496 34606 34643 35035 35200 35350 35552 35672 35750 36400 36764 37268 37730 38500 38720 38885 39200 39325 39592 40040 40400 40768 40804 41503 41600 42016 42350 42592 42875 43120 43904 44000 44044 44440 44590 45248 45500 45760 45955 46585 47432 48400 48884 49000 49049 49280 49490 50050 50336 50500 50960 51005 52000 52520 53240 53900 54208 54439 54880 55055 55550 56000 56056 56560 57200 57772 58240 59290 60368 60500 61105 61600 62216 62920 63700 64064 64337 64640 65219 65650 66550 67375 67760 68600 68992 69212 69286 70070 70700 71104 71344 71407 71500 72215 72800 73528 74536 75460 77000 77077 77440 77770 78400 78650 79184 79625 80080 80800 81536 81608 83006 84032 84700 85184 85547 85750 86240 86515 88000 88088 88375 88880 89180 90496 91000 91520 91910 93170 94325 94864 96800 97768 98000 98098 98980 100100 100672 101000 101101 101920 102010 104000 105040 105875 106480 107800 108416 108878 109760 110110 111100 111475 112000 112112 112211 113120 114400 115544 118580 120736 121000 121121 122210 123200 123725 124432 125125 125840 127400 128128 128674 130438 131300 132613 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871895024000 880613974240 898585688000 931418626600 959084526400 967707664000 968675371664 988444256800 1000697698000 1064478430400 1081110905875 1100767467800 1107057567616 1143654512000 1164273283250 1198855658000 1210844214580 1235555321000 1258019963200 1330598038000 1354790729600 1370120752000 1375959334750 1383821959520 1412063224000 1490269802560 1513555268225 1520683472000 1572524954000 1601116316800 1693488412000 1729777449400 1761227948480 1797171376000 1862837253200 1918169052800 1937350743328 1976888513600 2001395396000 2128956860800 2162221811750 2201534935600 2328546566500 2397711316000 2421688429160 2471110642000 2516039926400 2661196076000 2751918669500 2767643919040 2824126448000 2980539605120 3027110536450 3145049908000 3386976824000 3459554898800 3522455896960 3725674506400 3874701486656 3953777027200 4002790792000 4324443623500 4403069871200 4657093133000 4795422632000 4843376858320 4942221284000 5322392152000 5503837339000 5535287838080 6054221072900 6290099816000 6773953648000 6919109797600 7451349012800 7567776341125 7749402973312 8005581584000 8648887247000 8806139742400 9314186266000 9590845264000 9686753716640 9884442568000 10644784304000 11007674678000 12108442145800 12580199632000 13838219595200 14902698025600 15135552682250 17297774494000 17612279484800 18628372532000 19373507433280 19768885136000 22015349356000 24216884291600 27676439190400 30271105364500 34595548988000 37256745064000 38747014866560 44030698712000 48433768583200 60542210729000 69191097976000 74513490128000 88061397424000 96867537166400 121084421458000 138382195952000 193735074332800 242168842916000 484337685832000 968675371664000
- Sum of all divisors σ(n): 3360141622656000
- Sum of proper divisors (its aliquot sum) s(n): 2391466250992000
- 968675371664000 is an abundant number, because the sum of its proper divisors (2391466250992000) is greater than itself. Its abundance is 1422790879328000
Bases of 968675371664000
- Binary: 110111000100000001010011110110111001000010100000002
- Hexadecimal: 0x371014F6E4280
- Base-36: 9JD7BLTY0W
Squares and roots of 968675371664000
- 968675371664000 squared (9686753716640002) is 938331975668388534128896000000
- 968675371664000 cubed (9686753716640003) is 908939075274791668113264481282002944000000000
-
The
square root of 968675371664000 is 31123550.1134430355 -
The
cube root of 968675371664000 is 98944.7493521183
Scales and comparisons
How big is 968675371664000?- 968,675,371,664,000 seconds is equal to 30,800,880 years, 26 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 968,675,371,664,000 would take you about seventy-seven million, two thousand, two hundred 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 968675371664000 cubic inches would be around 8245.4 feet tall.
Recreational maths with 968675371664000
- 968675371664000 backwards is 000466173576869
- The number of decimal digits it has is: 15
- The sum of 968675371664000's digits is 68
- More coming soon!
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Cite this page
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"Number 968675371664000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 968675371664000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/968675371664000/
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The information we have on file for 968675371664000 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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