428312734543980
428,312,734,543,980 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428312734543980 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
428312734543980 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 428312734543980:
22 × 35 × 5 × 11 × 13 × 233 × 373
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 23 × 23 × 23 × 37 × 37 × 37)See below for interesting mathematical facts about the number 428312734543980 from the Numbermatics database.
Names of 428312734543980
- Cardinal: 428312734543980 can be written as Four hundred twenty-eight trillion, three hundred twelve billion, seven hundred thirty-four million, five hundred forty-three thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 4.2831273454398 × 1014
Factors of 428312734543980
Divisors of 428312734543980
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 23 26 27 30 33 36 37 39 44 45 46 52 54 55 60 65 66 69 74 78 81 90 92 99 108 110 111 115 117 130 132 135 138 143 148 156 162 165 180 185 195 198 207 220 222 230 234 243 253 260 270 276 286 297 299 324 330 333 345 351 370 390 396 405 407 414 429 444 460 468 481 486 495 506 529 540 555 572 585 594 598 621 660 666 690 702 715 740 759 780 810 814 828 851 858 891 897 962 972 990 999 1012 1035 1053 1058 1110 1170 1188 1196 1215 1221 1242 1265 1287 1332 1369 1380 1404 1430 1443 1485 1495 1518 1587 1620 1628 1665 1702 1716 1755 1782 1794 1863 1924 1980 1998 2035 2070 2106 2116 2145 2220 2277 2340 2405 2430 2442 2484 2530 2553 2574 2645 2673 2691 2738 2860 2886 2970 2990 2997 3036 3105 3159 3174 3289 3330 3404 3510 3564 3588 3663 3726 3795 3861 3996 4070 4107 4140 4212 4255 4290 4329 4455 4485 4554 4761 4810 4860 4884 4995 5060 5106 5148 5265 5290 5291 5346 5382 5476 5589 5772 5819 5940 5980 5994 6105 6210 6318 6348 6435 6578 6660 6831 6845 6877 7020 7215 7326 7452 7590 7659 7722 7935 8073 8140 8214 8510 8580 8658 8910 8970 8991 9108 9315 9361 9522 9620 9867 9990 10212 10530 10580 10582 10692 10764 10989 11063 11178 11385 11583 11638 11988 12167 12210 12321 12420 12636 12765 12870 12987 13156 13365 13455 13662 13690 13754 14283 14430 14652 14985 15059 15180 15318 15444 15795 15870 15873 16146 16428 16445 17020 17316 17457 17797 17820 17940 17982 18315 18630 18722 19044 19305 19573 19734 19980 20493 20535 20631 21060 21164 21645 21978 22126 22356 22770 22977 23166 23276 23805 24219 24334 24420 24642 25530 25740 25974 26455 26730 26910 27324 27380 27508 27945 28083 28566 28860 29095 29601 29970 30118 30636 31487 31590 31740 31746 32292 32890 32967 33189 34155 34385 34749 34914 35594 35964 36501 36630 36963 37260 37444 38295 38610 38961 39146 39468 40365 40986 41070 41262 42849 43290 43956 44252 44955 45177 45540 45954 46332 46805 47610 47619 48438 48668 49284 49335 50653 51060 51948 52371 52910 53391 53460 53820 54945 55315 55890 56166 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11576019852540 11897575959555 12979173774060 14277091151466 15863434612740 16473566713230 18622292806260 19468760661090 21415636727199 23795151919110 28554182302932 32947133426460 35692727878665 38937521322180 42831273454398 47590303838220 71385455757330 85662546908796 107078183635995 142770911514660 214156367271990 428312734543980
- Sum of all divisors σ(n): 1700792103628800
- Sum of proper divisors (its aliquot sum) s(n): 1272479369084820
- 428312734543980 is an abundant number, because the sum of its proper divisors (1272479369084820) is greater than itself. Its abundance is 844166634540840
Bases of 428312734543980
- Binary: 11000010110001100010101000110010100110000011011002
- Hexadecimal: 0x1858C5465306C
- Base-36: 47TO5JFUR0
Squares and roots of 428312734543980
- 428312734543980 squared (4283127345439802) is 183451798572541878378554240400
- 428312734543980 cubed (4283127345439803) is 78574741503616818645305384673383189292792000
-
The
square root of 428312734543980 is 20695717.7827680091 -
The
cube root of 428312734543980 is 75379.5711496051
Scales and comparisons
How big is 428312734543980?- 428,312,734,543,980 seconds is equal to 13,619,020 years, 5 weeks, 1 day, 11 hours, 33 minutes.
-
To count from 1 to 428,312,734,543,980 would take you about thirty-four million, forty-seven thousand, five hundred fifty 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 428312734543980 cubic inches would be around 6281.6 feet tall.
Recreational maths with 428312734543980
- 428312734543980 backwards is 089345437213824
- The number of decimal digits it has is: 15
- The sum of 428312734543980's digits is 63
- More coming soon!
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"Number 428312734543980 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 428312734543980 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/428312734543980/
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The information we have on file for 428312734543980 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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