4140429626368000
4,140,429,626,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 4140429626368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
4140429626368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 4140429626368000:
213 × 53 × 7 × 172 × 29 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 29 × 41 × 41 × 41)See below for interesting mathematical facts about the number 4140429626368000 from the Numbermatics database.
Names of 4140429626368000
- Cardinal: 4140429626368000 can be written as Four quadrillion, one hundred forty trillion, four hundred twenty-nine billion, six hundred twenty-six million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.140429626368 × 1015
Factors of 4140429626368000
Divisors of 4140429626368000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 41 50 56 58 64 68 70 80 82 85 100 112 116 119 125 128 136 140 145 160 164 170 175 200 203 205 224 232 238 250 256 272 280 287 289 290 320 328 340 350 400 406 410 425 448 464 476 493 500 512 544 560 574 578 580 595 640 656 680 697 700 725 800 812 820 850 875 896 928 952 986 1000 1015 1024 1025 1088 1120 1148 1156 1160 1189 1190 1280 1312 1360 1394 1400 1435 1445 1450 1600 1624 1640 1681 1700 1750 1792 1856 1904 1972 2000 2023 2030 2048 2050 2125 2176 2240 2296 2312 2320 2378 2380 2465 2560 2624 2720 2788 2800 2870 2890 2900 2975 3200 3248 3280 3362 3400 3451 3485 3500 3584 3625 3712 3808 3944 4000 4046 4060 4096 4100 4250 4352 4480 4592 4624 4640 4756 4760 4879 4930 5075 5120 5125 5248 5440 5576 5600 5740 5780 5800 5945 5950 6400 6496 6560 6724 6800 6902 6970 7000 7168 7175 7225 7250 7424 7616 7888 8000 8092 8120 8192 8200 8323 8381 8405 8500 8704 8960 9184 9248 9280 9512 9520 9758 9860 10115 10150 10240 10250 10496 10880 11152 11200 11480 11560 11600 11767 11849 11890 11900 12325 12800 12992 13120 13448 13600 13804 13940 14000 14336 14350 14450 14500 14848 14875 15232 15776 16000 16184 16240 16400 16646 16762 16810 17000 17255 17408 17425 17920 18368 18496 18560 19024 19040 19516 19720 20213 20230 20300 20480 20500 20992 21760 22304 22400 22960 23120 23200 23534 23698 23780 23800 24395 24650 25375 25600 25984 26240 26896 27200 27608 27880 28000 28577 28672 28700 28900 29000 29696 29725 29750 30464 31552 32000 32368 32480 32800 33292 33524 33620 34000 34510 34816 34850 35840 35875 36125 36736 36992 37120 38048 38080 39032 39440 40426 40460 40600 40960 41000 41615 41905 41984 42025 43520 44608 44800 45920 46240 46400 47068 47396 47560 47600 48749 48790 49300 50575 50750 51200 51968 52480 53792 54400 55216 55760 56000 57154 57344 57400 57800 58000 58667 58835 59245 59392 59450 59500 60928 61625 63104 64000 64736 64960 65600 66584 67048 67240 68000 68921 69020 69632 69700 71680 71750 72250 73472 73984 74240 76096 76160 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1293884258240 1391741050880 1427734353920 1432674611200 1442658406400 1478724866560 1485089536000 1522216774400 1577907632000 1617355322800 1679687475200 1739676313600 1741139456000 1784667942400 1790843264000 1803323008000 1848406083200 1902770968000 1948437471232 2019721768960 2021694153500 2039620505600 2046678016000 2070214813184 2099609344000 2174595392000 2230834928000 2310507604000 2365959786496 2435546839040 2463075328000 2524652211200 2549525632000 2587768516480 2855468707840 2865349222400 2885316812800 2957449733120 2970179072000 3044433548800 3155815264000 3234710645600 3479352627200 3482278912000 3569335884800 3581686528000 3606646016000 3696812166400 3805541936000 4039443537920 4043388307000 4079241011200 4140429626368 4199218688000 4349190784000 4461669856000 4621015208000 4731919572992 4871093678080 5049304422400 5099051264000 5175537032960 5710937415680 5914899466240 5940358144000 6088867097600 6311630528000 6469421291200 6958705254400 7138671769600 7163373056000 7213292032000 7393624332800 7611083872000 8086776614000 8280859252736 8398437376000 8698381568000 8923339712000 9242030416000 9742187356160 10098608844800 10198102528000 10351074065920 11829798932480 12177734195200 12623261056000 12938842582400 14277343539200 14326746112000 14426584064000 14787248665600 15222167744000 16173553228000 16561718505472 17396763136000 17846679424000 18484060832000 20197217689600 20396205056000 20702148131840 23659597864960 24355468390400 25246522112000 25877685164800 28554687078400 29574497331200 30444335488000 32347106456000 33123437010944 34793526272000 35693358848000 36968121664000 41404296263680 48710936780800 50493044224000 51755370329600 59148994662400 60888670976000 64694212912000 71386717696000 73936243328000 82808592527360 100986088448000 103510740659200 118297989324800 121777341952000 129388425824000 142773435392000 147872486656000 165617185054720 207021481318400 243554683904000 258776851648000 295744973312000 414042962636800 517553703296000 591489946624000 828085925273600 1035107406592000 2070214813184000 4140429626368000
- Sum of all divisors σ(n): 13302795922940160
- Sum of proper divisors (its aliquot sum) s(n): 9162366296572160
- 4140429626368000 is an abundant number, because the sum of its proper divisors (9162366296572160) is greater than itself. Its abundance is 5021936670204160
Bases of 4140429626368000
- Binary: 11101011010110110010111001010001100011100000000000002
- Hexadecimal: 0xEB5B2E518E000
- Base-36: 14RNR40TBLS
Squares and roots of 4140429626368000
- 4140429626368000 squared (41404296263680002) is 17143157490905856080871424000000
- 4140429626368000 cubed (41404296263680003) is 70980037164839114050785650864168108032000000000
-
The
square root of 4140429626368000 is 64346170.2540873835 -
The
cube root of 4140429626368000 is 160576.4315577033
Scales and comparisons
How big is 4140429626368000?- 4,140,429,626,368,000 seconds is equal to 131,652,854 years, 48 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 4,140,429,626,368,000 would take you about three hundred ninety-four million, nine hundred fifty-eight thousand, five hundred sixty-four 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 4140429626368000 cubic inches would be around 13381.4 feet tall.
Recreational maths with 4140429626368000
- 4140429626368000 backwards is 0008636269240414
- The number of decimal digits it has is: 16
- The sum of 4140429626368000's digits is 55
- More coming soon!
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"Number 4140429626368000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 4140429626368000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/4140429626368000/
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The information we have on file for 4140429626368000 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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