40828136832000
40,828,136,832,000 is an even composite number composed of seven prime numbers multiplied together.
40828136832000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 40828136832000:
210 × 35 × 53 × 7 × 23 × 31 × 263
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 23 × 31 × 263)See below for interesting mathematical facts about the number 40828136832000 from the Numbermatics database.
Names of 40828136832000
- Cardinal: 40828136832000 can be written as Forty trillion, eight hundred twenty-eight billion, one hundred thirty-six million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.0828136832 × 1013
Factors of 40828136832000
Divisors of 40828136832000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 31 32 35 36 40 42 45 46 48 50 54 56 60 62 63 64 69 70 72 75 80 81 84 90 92 93 96 100 105 108 112 115 120 124 125 126 128 135 138 140 144 150 155 160 161 162 168 175 180 184 186 189 192 200 207 210 216 217 224 225 230 240 243 248 250 252 256 263 270 276 279 280 288 300 310 315 320 322 324 336 345 350 360 368 372 375 378 384 400 405 414 420 432 434 448 450 460 465 480 483 486 496 500 504 512 525 526 540 552 558 560 567 575 576 600 620 621 630 640 644 648 651 672 675 690 700 713 720 736 744 750 756 768 775 789 800 805 810 828 837 840 864 868 875 896 900 920 930 945 960 966 972 992 1000 1008 1024 1035 1050 1052 1080 1085 1104 1116 1120 1125 1134 1150 1152 1200 1215 1240 1242 1260 1280 1288 1296 1302 1315 1344 1350 1380 1395 1400 1426 1440 1449 1472 1488 1500 1512 1536 1550 1575 1578 1600 1610 1620 1656 1674 1680 1701 1725 1728 1736 1750 1792 1800 1840 1841 1860 1863 1890 1920 1932 1944 1953 1984 2000 2016 2025 2070 2100 2104 2139 2160 2170 2208 2232 2240 2250 2268 2300 2304 2325 2367 2400 2415 2430 2480 2484 2511 2520 2560 2576 2592 2604 2625 2630 2688 2700 2760 2790 2800 2835 2852 2875 2880 2898 2944 2976 3000 3024 3072 3100 3105 3150 3156 3200 3220 3240 3255 3312 3348 3360 3375 3402 3450 3456 3472 3500 3565 3584 3600 3680 3682 3720 3726 3780 3840 3864 3875 3888 3906 3945 3968 4000 4025 4032 4050 4140 4185 4200 4208 4278 4320 4340 4347 4416 4464 4480 4500 4536 4600 4608 4650 4725 4734 4800 4830 4860 4960 4968 4991 5022 5040 5120 5152 5175 5184 5208 5250 5260 5376 5400 5425 5520 5523 5580 5589 5600 5670 5704 5750 5760 5796 5859 5888 5952 6000 6048 6049 6075 6200 6210 6300 6312 6400 6417 6440 6480 6510 6575 6624 6696 6720 6750 6804 6900 6912 6944 6975 7000 7101 7130 7168 7200 7245 7360 7364 7440 7452 7533 7560 7680 7728 7750 7776 7812 7875 7890 7936 8000 8050 8064 8100 8153 8280 8370 8400 8416 8505 8556 8625 8640 8680 8694 8832 8928 8960 9000 9072 9200 9205 9216 9300 9315 9450 9468 9600 9660 9720 9765 9920 9936 9982 10044 10080 10125 10304 10350 10368 10416 10500 10520 10695 10752 10800 10850 11040 11046 11160 11178 11200 11340 11408 11500 11520 11592 11625 11718 11776 11835 11904 12000 12075 12096 12098 12150 12400 12420 12555 12600 12624 12800 12834 12880 12960 13020 13041 13150 13248 13392 13440 13500 13608 13800 13824 13888 13950 14000 14175 14202 14260 14400 14490 14720 14728 14880 14904 14973 15066 15120 15360 15456 15500 15525 15552 15624 15750 15780 15872 16000 16100 16128 16200 16275 16306 16560 16569 16740 16800 16832 17010 17112 17250 17280 17360 17388 17577 17664 17825 17856 17920 18000 18144 18147 18400 18410 18600 18630 18900 18936 19200 19251 19320 19440 19530 19725 19840 19872 19964 20088 20125 20160 20250 20608 20700 20736 20832 20925 21000 21040 21303 21390 21504 21600 21700 21735 22080 22092 22320 22356 22400 22680 22816 23000 23040 23184 23250 23436 23552 23625 23670 23808 24000 24150 24192 24196 24300 24459 24800 24840 24955 25110 25200 25248 25600 25668 25760 25875 25920 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181458385920 182268468000 188148096000 189019152000 194419699200 197237376000 204140684160 212646546000 216021888000 219506112000 221892048000 226822982400 233303639040 243024624000 252025536000 253590912000 255175855200 263407334400 272187578880 283528728000 291629548800 295856064000 302430643200 318969819000 324032832000 326625094656 329259168000 340234473600 355027276800 364536936000 378038304000 388839398400 408281368320 425293092000 439012224000 443784096000 453645964800 486049248000 504051072000 510351710400 544375157760 567057456000 583259097600 591712128000 637939638000 648065664000 658518336000 680468947200 729073872000 756076608000 816562736640 850586184000 887568192000 907291929600 972098496000 1020703420800 1134114912000 1166518195200 1275879276000 1317036672000 1360937894400 1458147744000 1512153216000 1633125473280 1701172368000 1775136384000 1944196992000 2041406841600 2268229824000 2551758552000 2721875788800 2916295488000 3402344736000 4082813683200 4536459648000 5103517104000 5832590976000 6804689472000 8165627366400 10207034208000 13609378944000 20414068416000 40828136832000
- Sum of all divisors σ(n): 188538027245568
- Sum of proper divisors (its aliquot sum) s(n): 147709890413568
- 40828136832000 is an abundant number, because the sum of its proper divisors (147709890413568) is greater than itself. Its abundance is 106881753581568
Bases of 40828136832000
- Binary: 10010100100010000010101001011110111100000000002
- Hexadecimal: 0x25220A97BC00
- Base-36: EH06QIO00
Squares and roots of 40828136832000
- 40828136832000 squared (408281368320002) is 1666936757172514996224000000
- 40828136832000 cubed (408281368320003) is 68057922012129799695405435322368000000000
-
The
square root of 40828136832000 is 6389689.8854326255 -
The
cube root of 40828136832000 is 34433.9243127787
Scales and comparisons
How big is 40828136832000?- 40,828,136,832,000 seconds is equal to 1,298,208 years, 24 weeks.
-
To count from 1 to 40,828,136,832,000 would take you about three million, two hundred forty-five thousand, five hundred twenty-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 40828136832000 cubic inches would be around 2869.5 feet tall.
Recreational maths with 40828136832000
- 40828136832000 backwards is 00023863182804
- 40828136832000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40828136832000's digits is 45
- More coming soon!
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MLA style:
"Number 40828136832000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 40828136832000 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/40828136832000/
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The information we have on file for 40828136832000 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 40828136832000, math, Factors of 40828136832000, curriculum, school, college, exams, university, Prime factorization of 40828136832000, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, eight hundred twenty-eight billion, one hundred thirty-six million, eight hundred thirty-two thousand.