968127138119680000
968,127,138,119,680,000 is an even composite number composed of six prime numbers multiplied together.
968127138119680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 968127138119680000:
217 × 54 × 72 × 11 × 294 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 29 × 29 × 29 × 29 × 31)See below for interesting mathematical facts about the number 968127138119680000 from the Numbermatics database.
Names of 968127138119680000
- Cardinal: 968127138119680000 can be written as Nine hundred sixty-eight quadrillion, one hundred twenty-seven trillion, one hundred thirty-eight billion, one hundred nineteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 9.6812713811968 × 1017
Factors of 968127138119680000
Divisors of 968127138119680000
- Number of divisors d(n): 5400
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 29 31 32 35 40 44 49 50 55 56 58 62 64 70 77 80 88 98 100 110 112 116 124 125 128 140 145 154 155 160 175 176 196 200 203 217 220 224 232 245 248 250 256 275 280 290 308 310 319 320 341 350 352 385 392 400 406 434 440 448 464 490 496 500 512 539 550 560 580 616 620 625 638 640 682 700 704 725 770 775 784 800 812 841 868 875 880 896 899 928 980 992 1000 1015 1024 1078 1085 1100 1120 1160 1225 1232 1240 1250 1276 1280 1364 1375 1400 1408 1421 1450 1519 1540 1550 1568 1595 1600 1624 1682 1705 1736 1750 1760 1792 1798 1856 1925 1960 1984 2000 2030 2048 2156 2170 2200 2233 2240 2320 2387 2450 2464 2480 2500 2552 2560 2695 2728 2750 2800 2816 2842 2900 3038 3080 3100 3136 3190 3200 3248 3364 3410 3472 3500 3520 3584 3596 3625 3712 3850 3875 3920 3968 4000 4060 4096 4205 4312 4340 4375 4400 4466 4480 4495 4640 4774 4900 4928 4960 5000 5075 5104 5120 5390 5425 5456 5500 5600 5632 5684 5800 5887 6076 6125 6160 6200 6272 6293 6380 6400 6496 6728 6820 6875 6944 7000 7040 7105 7168 7192 7250 7424 7595 7700 7750 7840 7936 7975 8000 8120 8192 8410 8525 8624 8680 8750 8800 8932 8960 8990 9251 9280 9548 9625 9800 9856 9889 9920 10000 10150 10208 10240 10780 10850 10912 11000 11165 11200 11264 11368 11600 11774 11935 12152 12250 12320 12400 12544 12586 12760 12800 12992 13456 13475 13640 13750 13888 14000 14080 14210 14336 14384 14500 14848 15190 15400 15500 15631 15680 15872 15950 16000 16240 16384 16709 16820 17050 17248 17360 17500 17600 17864 17920 17980 18125 18502 18560 19096 19250 19375 19600 19712 19778 19840 20000 20300 20416 20480 21025 21560 21700 21824 22000 22330 22400 22475 22528 22736 23200 23548 23870 24304 24389 24500 24640 24800 25088 25172 25375 25520 25600 25984 26071 26912 26950 27125 27280 27500 27776 28000 28160 28420 28672 28768 29000 29435 29696 30380 30625 30800 31000 31262 31360 31465 31744 31900 32000 32480 32768 33418 33640 34100 34496 34720 35000 35200 35525 35728 35840 35960 36250 37004 37120 37975 38192 38500 38750 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5532155074969600 6050794613248000 6245981536256000 6286539857920000 6676738883584000 6915193843712000 7563493266560000 7745017104957440 7807476920320000 8345923604480000 8643992304640000 8801155801088000 9681271381196800 9878848348160000 11001444751360000 12101589226496000 12573079715840000 13830387687424000 15126986533120000 15614953840640000 16691847208960000 17287984609280000 17602311602176000 19362542762393600 19757696696320000 22002889502720000 24203178452992000 27660775374848000 30253973066240000 31229907681280000 33383694417920000 34575969218560000 38725085524787200 44005779005440000 48406356905984000 60507946132480000 69151938437120000 88011558010880000 96812713811968000 121015892264960000 138303876874240000 193625427623936000 242031784529920000 484063569059840000 968127138119680000
- Sum of all divisors σ(n): 3282670679836673664
- Sum of proper divisors (its aliquot sum) s(n): 2314543541716993664
- 968127138119680000 is an abundant number, because the sum of its proper divisors (2314543541716993664) is greater than itself. Its abundance is 1346416403597313664
Bases of 968127138119680000
- Binary: 1101011011110111101010000000101101010000101000000000000000002
- Hexadecimal: 0xD6F7A80B50A0000
- Base-36: 7CSKFFDYHP8G
Squares and roots of 968127138119680000
- 968127138119680000 squared (9681271381196800002) is 937270155563801955766003302400000000
- 968127138119680000 cubed (9681271381196800003) is 907396673350970856052419192917135806431232000000000000
-
The
square root of 968127138119680000 is 983934519.2235507701 -
The
cube root of 968127138119680000 is 989260.7950360107
Scales and comparisons
How big is 968127138119680000?- 968,127,138,119,680,000 seconds is equal to 30,783,448,378 years, 18 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 968,127,138,119,680,000 would take you about ninety-two billion, three hundred fifty million, three hundred forty-five thousand, one hundred thirty-five 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 968127138119680000 cubic inches would be around 82438.4 feet tall.
Recreational maths with 968127138119680000
- 968127138119680000 backwards is 000086911831721869
- 968127138119680000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 968127138119680000's digits is 70
- More coming soon!
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"Number 968127138119680000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 968127138119680000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/968127138119680000/
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The information we have on file for 968127138119680000 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 968127138119680000, math, Factors of 968127138119680000, curriculum, school, college, exams, university, Prime factorization of 968127138119680000, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight quadrillion, one hundred twenty-seven trillion, one hundred thirty-eight billion, one hundred nineteen million, six hundred eighty thousand.