428128346800000
428,128,346,800,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428128346800000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4608 divisors.
428128346800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 428128346800000:
27 × 55 × 73 × 112 × 17 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 17 × 37 × 41)See below for interesting mathematical facts about the number 428128346800000 from the Numbermatics database.
Names of 428128346800000
- Cardinal: 428128346800000 can be written as Four hundred twenty-eight trillion, one hundred twenty-eight billion, three hundred forty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.281283468 × 1014
Factors of 428128346800000
Divisors of 428128346800000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 32 34 35 37 40 41 44 49 50 55 56 64 68 70 74 77 80 82 85 88 98 100 110 112 119 121 125 128 136 140 148 154 160 164 170 175 176 185 187 196 200 205 220 224 238 242 245 250 259 272 275 280 287 296 308 320 328 340 343 350 352 370 374 385 392 400 407 410 425 440 448 451 476 484 490 500 518 539 544 550 560 574 592 595 605 616 625 629 640 656 680 686 697 700 704 740 748 770 784 800 814 820 833 847 850 875 880 896 902 925 935 952 968 980 1000 1025 1036 1078 1088 1100 1120 1148 1184 1190 1210 1225 1232 1250 1258 1295 1309 1312 1360 1372 1375 1394 1400 1408 1435 1480 1496 1517 1540 1568 1600 1628 1640 1666 1694 1700 1715 1750 1760 1804 1813 1850 1870 1904 1925 1936 1960 2000 2009 2035 2050 2057 2072 2125 2156 2176 2200 2240 2255 2296 2368 2380 2420 2450 2464 2500 2516 2590 2618 2624 2695 2720 2744 2750 2788 2800 2849 2870 2960 2975 2992 3025 3034 3080 3125 3136 3145 3157 3200 3256 3280 3332 3388 3400 3430 3485 3500 3520 3608 3626 3700 3740 3773 3808 3850 3872 3920 4000 4018 4070 4100 4114 4144 4165 4235 4250 4312 4375 4400 4403 4477 4480 4510 4592 4625 4675 4736 4760 4840 4879 4900 4928 4961 5000 5032 5125 5180 5236 5248 5390 5440 5488 5500 5576 5600 5698 5740 5831 5920 5929 5950 5984 6050 6068 6125 6160 6250 6272 6290 6314 6475 6512 6545 6560 6664 6776 6800 6860 6875 6919 6970 7000 7040 7175 7216 7252 7400 7480 7546 7585 7616 7667 7700 7744 7840 8000 8036 8140 8200 8228 8288 8330 8470 8500 8575 8624 8750 8800 8806 8954 9020 9065 9163 9184 9250 9350 9520 9625 9680 9758 9800 9856 9922 10000 10045 10064 10175 10250 10285 10360 10472 10619 10625 10780 10880 10976 11000 11152 11200 11275 11396 11480 11662 11840 11858 11900 11968 12100 12136 12250 12320 12500 12580 12628 12691 12950 13024 13090 13120 13328 13475 13552 13600 13720 13750 13838 13940 14000 14063 14245 14350 14399 14432 14504 14800 14875 14960 15092 15125 15170 15232 15334 15400 15488 15680 15725 15785 16000 16072 16280 16400 16456 16576 16660 16687 16940 17000 17150 17248 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- Sum of all divisors σ(n): 1522262131488000
- Sum of proper divisors (its aliquot sum) s(n): 1094133784688000
- 428128346800000 is an abundant number, because the sum of its proper divisors (1094133784688000) is greater than itself. Its abundance is 666005437888000
Bases of 428128346800000
- Binary: 11000010101100001011001100000011101111111100000002
- Hexadecimal: 0x1856166077F80
- Base-36: 47RBG3QKXS
Squares and roots of 428128346800000
- 428128346800000 squared (4281283468000002) is 183293881333701070240000000000
- 428128346800000 cubed (4281283468000003) is 78473306393952818327241879232000000000000000
-
The
square root of 428128346800000 is 20691262.5714333827 -
The
cube root of 428128346800000 is 75368.7526806615
Scales and comparisons
How big is 428128346800000?- 428,128,346,800,000 seconds is equal to 13,613,157 years, 7 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 428,128,346,800,000 would take you about thirty-four million, thirty-two thousand, eight hundred ninety-two 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 428128346800000 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428128346800000
- 428128346800000 backwards is 000008643821824
- The number of decimal digits it has is: 15
- The sum of 428128346800000's digits is 46
- More coming soon!
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The information we have on file for 428128346800000 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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