1013781256704000
1,013,781,256,704,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 1013781256704000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3744 divisors.
1013781256704000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 1013781256704000:
212 × 35 × 53 × 312 × 61 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 61 × 139)See below for interesting mathematical facts about the number 1013781256704000 from the Numbermatics database.
Names of 1013781256704000
- Cardinal: 1013781256704000 can be written as One quadrillion, thirteen trillion, seven hundred eighty-one billion, two hundred fifty-six million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.013781256704 × 1015
Factors of 1013781256704000
Divisors of 1013781256704000
- Number of divisors d(n): 3744
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 61 62 64 72 75 80 81 90 93 96 100 108 120 122 124 125 128 135 139 144 150 155 160 162 180 183 186 192 200 216 225 240 243 244 248 250 256 270 278 279 288 300 305 310 320 324 360 366 372 375 384 400 405 417 432 450 465 480 486 488 496 500 512 540 549 556 558 576 600 610 620 640 648 675 695 720 732 744 750 768 775 800 810 834 837 864 900 915 930 960 961 972 976 992 1000 1024 1080 1098 1112 1116 1125 1152 1200 1215 1220 1240 1251 1280 1296 1350 1390 1395 1440 1464 1488 1500 1525 1536 1550 1600 1620 1647 1668 1674 1728 1800 1830 1860 1891 1920 1922 1944 1952 1984 2000 2025 2048 2085 2160 2196 2224 2232 2250 2304 2325 2400 2430 2440 2480 2502 2511 2560 2592 2700 2745 2780 2790 2880 2883 2928 2976 3000 3050 3072 3100 3200 3240 3294 3336 3348 3375 3456 3475 3600 3660 3720 3753 3782 3840 3844 3875 3888 3904 3968 4000 4050 4096 4170 4185 4309 4320 4392 4448 4464 4500 4575 4608 4650 4800 4805 4860 4880 4941 4960 5004 5022 5120 5184 5400 5490 5560 5580 5673 5760 5766 5856 5952 6000 6075 6100 6144 6200 6255 6400 6480 6588 6672 6696 6750 6912 6950 6975 7200 7320 7440 7506 7533 7564 7625 7680 7688 7750 7776 7808 7936 8000 8100 8235 8340 8370 8479 8618 8640 8649 8784 8896 8928 9000 9150 9216 9300 9455 9600 9610 9720 9760 9882 9920 10008 10044 10125 10240 10368 10425 10800 10980 11120 11160 11259 11346 11520 11532 11625 11712 11904 12000 12150 12200 12288 12400 12510 12555 12800 12927 12960 13176 13344 13392 13500 13725 13824 13900 13950 14400 14415 14640 14823 14880 15012 15066 15128 15250 15360 15376 15500 15552 15616 15872 16000 16200 16470 16680 16740 16958 17019 17236 17280 17298 17375 17568 17792 17856 18000 18300 18432 18600 18765 18910 19200 19220 19440 19520 19764 19840 20016 20088 20250 20480 20736 20850 20925 21545 21600 21960 22240 22320 22518 22692 22875 23040 23064 23250 23424 23808 24000 24025 24300 24400 24705 24800 25020 25110 25437 25600 25854 25920 25947 26352 26688 26784 27000 27450 27648 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6257908992000 6336132854400 6540524236800 6758541711360 7040147616000 7293390336000 7509490790400 7920166068000 8110250053632 8175655296000 8309682432000 8448177139200 9386863488000 10137812567040 10560221424000 10900873728000 11264236185600 12515817984000 12672265708800 13517083422720 14080295232000 15840332136000 16351310592000 16619364864000 16896354278400 18773726976000 20275625134080 21120442848000 22528472371200 25344531417600 28160590464000 31680664272000 32702621184000 33792708556800 37547453952000 40551250268160 42240885696000 50689062835200 56321180928000 63361328544000 67585417113600 84481771392000 101378125670400 112642361856000 126722657088000 168963542784000 202756251340800 253445314176000 337927085568000 506890628352000 1013781256704000
- Sum of all divisors σ(n): 4008961463794560
- Sum of proper divisors (its aliquot sum) s(n): 2995180207090560
- 1013781256704000 is an abundant number, because the sum of its proper divisors (2995180207090560) is greater than itself. Its abundance is 1981398950386560
Bases of 1013781256704000
- Binary: 111001101000000111010101111010111110010000000000002
- Hexadecimal: 0x39A0757AF9000
- Base-36: 9ZCSOH6O00
Squares and roots of 1013781256704000
- 1013781256704000 squared (10137812567040002) is 1027752436444341544943616000000
- 1013781256704000 cubed (10137812567040003) is 1041916156599142460782735925302001664000000000
-
The
square root of 1013781256704000 is 31839931.7949018227 -
The
cube root of 1013781256704000 is 100457.2809772073
Scales and comparisons
How big is 1013781256704000?- 1,013,781,256,704,000 seconds is equal to 32,235,108 years, 6 weeks, 6 days.
-
To count from 1 to 1,013,781,256,704,000 would take you about ninety-six million, seven hundred five thousand, three hundred twenty-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 1013781256704000 cubic inches would be around 8371.4 feet tall.
Recreational maths with 1013781256704000
- 1013781256704000 backwards is 0004076521873101
- 1013781256704000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1013781256704000's digits is 45
- More coming soon!
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"Number 1013781256704000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 1013781256704000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/1013781256704000/
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The information we have on file for 1013781256704000 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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