428701040640000
428,701,040,640,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428701040640000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2700 divisors.
428701040640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 428701040640000:
217 × 34 × 54 × 23 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 23 × 53 × 53)See below for interesting mathematical facts about the number 428701040640000 from the Numbermatics database.
Names of 428701040640000
- Cardinal: 428701040640000 can be written as Four hundred twenty-eight trillion, seven hundred one billion, forty million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.2870104064 × 1014
Factors of 428701040640000
Divisors of 428701040640000
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 53 54 60 64 69 72 75 80 81 90 92 96 100 106 108 115 120 125 128 135 138 144 150 159 160 162 180 184 192 200 207 212 216 225 230 240 250 256 265 270 276 288 300 318 320 324 345 360 368 375 384 400 405 414 424 432 450 460 477 480 500 512 530 540 552 575 576 600 621 625 636 640 648 675 690 720 736 750 768 795 800 810 828 848 864 900 920 954 960 1000 1024 1035 1060 1080 1104 1125 1150 1152 1200 1219 1242 1250 1272 1280 1296 1325 1350 1380 1431 1440 1472 1500 1536 1590 1600 1620 1656 1696 1725 1728 1800 1840 1863 1875 1908 1920 2000 2025 2048 2070 2120 2160 2208 2250 2300 2304 2385 2400 2438 2484 2500 2544 2560 2592 2650 2700 2760 2809 2862 2875 2880 2944 3000 3072 3105 3180 3200 3240 3312 3375 3392 3450 3456 3600 3657 3680 3726 3750 3816 3840 3975 4000 4050 4096 4140 4240 4293 4320 4416 4500 4600 4608 4770 4800 4876 4968 5000 5088 5120 5175 5184 5300 5400 5520 5618 5625 5724 5750 5760 5888 6000 6095 6144 6210 6360 6400 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2022174720000 2071019520000 2143505203200 2232817920000 2329896960000 2381672448000 2646302720000 2679381504000 2696232960000 2858006937600 2977090560000 3106529280000 3175563264000 3349226880000 3429608325120 3572508672000 3727835136000 3969454080000 4044349440000 4287010406400 4465635840000 4659793920000 4763344896000 5292605440000 5358763008000 5716013875200 5954181120000 6213058560000 6698453760000 7145017344000 7938908160000 8088698880000 8574020812800 8931271680000 9319587840000 9526689792000 10717526016000 11908362240000 13396907520000 14290034688000 15877816320000 17148041625600 17862543360000 18639175680000 21435052032000 23816724480000 26793815040000 28580069376000 35725086720000 42870104064000 47633448960000 53587630080000 71450173440000 85740208128000 107175260160000 142900346880000 214350520320000 428701040640000
- Sum of all divisors σ(n): 1702186959981816
- Sum of proper divisors (its aliquot sum) s(n): 1273485919341816
- 428701040640000 is an abundant number, because the sum of its proper divisors (1273485919341816) is greater than itself. Its abundance is 844784878701816
Bases of 428701040640000
- Binary: 11000010111100110101111010011111000000000000000002
- Hexadecimal: 0x185E6BD3E0000
- Base-36: 47YMJEV400
Squares and roots of 428701040640000
- 428701040640000 squared (4287010406400002) is 183784582245818931609600000000
- 428701040640000 cubed (4287010406400003) is 78788641662370244270048510214144000000000000
-
The
square root of 428701040640000 is 20705096.9724848185 -
The
cube root of 428701040640000 is 75402.3438447545
Scales and comparisons
How big is 428701040640000?- 428,701,040,640,000 seconds is equal to 13,631,367 years, 1 week, 5 days.
-
To count from 1 to 428,701,040,640,000 would take you about thirty-four million, seventy-eight thousand, four 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 428701040640000 cubic inches would be around 6283.5 feet tall.
Recreational maths with 428701040640000
- 428701040640000 backwards is 000046040107824
- 428701040640000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428701040640000's digits is 36
- More coming soon!
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Cite this page
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"Number 428701040640000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 428701040640000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/428701040640000/
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The information we have on file for 428701040640000 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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