428237671680000
428,237,671,680,000 is an even composite number composed of six prime numbers multiplied together.
428237671680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred sixty divisors.
Prime factorization of 428237671680000:
211 × 32 × 54 × 72 × 132 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 67 × 67)See below for interesting mathematical facts about the number 428237671680000 from the Numbermatics database.
Names of 428237671680000
- Cardinal: 428237671680000 can be written as Four hundred twenty-eight trillion, two hundred thirty-seven billion, six hundred seventy-one million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2823767168 × 1014
Factors of 428237671680000
Divisors of 428237671680000
- Number of divisors d(n): 4860
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 67 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 128 130 134 140 144 147 150 156 160 168 169 175 180 182 192 195 196 200 201 208 210 224 225 234 240 245 250 252 256 260 268 273 280 288 294 300 312 315 320 325 335 336 338 350 360 364 375 384 390 392 400 402 416 420 441 448 450 455 468 469 480 490 500 504 507 512 520 525 536 546 560 576 585 588 600 603 624 625 630 637 640 650 670 672 676 700 720 728 735 750 768 780 784 800 804 819 832 840 845 871 875 882 896 900 910 936 938 960 975 980 1000 1005 1008 1014 1024 1040 1050 1072 1092 1120 1125 1152 1170 1176 1183 1200 1206 1225 1248 1250 1260 1274 1280 1300 1340 1344 1352 1365 1400 1407 1440 1456 1470 1500 1521 1536 1560 1568 1575 1600 1608 1625 1638 1664 1675 1680 1690 1742 1750 1764 1792 1800 1820 1872 1875 1876 1911 1920 1950 1960 2000 2010 2016 2028 2048 2080 2100 2144 2184 2205 2240 2250 2275 2304 2340 2345 2352 2366 2400 2412 2450 2496 2500 2520 2535 2548 2560 2600 2613 2625 2680 2688 2704 2730 2800 2814 2880 2912 2925 2940 3000 3015 3042 3072 3120 3136 3150 3185 3200 3216 3250 3276 3283 3328 3350 3360 3380 3484 3500 3528 3549 3584 3600 3640 3675 3744 3750 3752 3822 3840 3900 3920 4000 4020 4032 4056 4095 4160 4200 4221 4225 4288 4355 4368 4375 4410 4480 4489 4500 4550 4608 4680 4690 4704 4732 4800 4824 4875 4900 4992 5000 5025 5040 5070 5096 5120 5200 5226 5250 5360 5376 5408 5460 5600 5625 5628 5733 5760 5824 5850 5880 5915 6000 6030 6084 6097 6125 6144 6240 6272 6300 6370 6400 6432 6500 6552 6566 6656 6700 6720 6760 6825 6968 7000 7035 7056 7098 7168 7200 7280 7350 7488 7500 7504 7605 7644 7680 7800 7839 7840 7875 8000 8040 8064 8112 8125 8190 8281 8320 8375 8400 8442 8450 8576 8710 8736 8750 8820 8960 8978 9000 9100 9216 9360 9380 9408 9464 9555 9600 9648 9750 9800 9849 9984 10000 10050 10080 10140 10192 10240 10400 10452 10500 10647 10720 10752 10816 10920 11025 11200 11250 11256 11323 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3195803520000 3294135936000 3345606810000 3398711680000 3425901373440 3568647264000 3660151040000 3823550640000 4078454016000 4117669920000 4282376716800 4369772160000 4460809080000 4705908480000 4758196352000 5098067520000 5352970896000 5490226560000 5709835622400 5947745440000 6117681024000 6391607040000 6588271872000 6691213620000 6797423360000 7137294528000 7647101280000 8235339840000 8564753433600 8739544320000 8921618160000 9516392704000 10196135040000 10705941792000 10980453120000 11895490880000 12235362048000 13382427240000 14274589056000 15294202560000 16470679680000 17129506867200 17843236320000 20392270080000 21411883584000 23790981760000 26764854480000 28549178112000 30588405120000 32941359360000 35686472640000 42823767168000 47581963520000 53529708960000 61176810240000 71372945280000 85647534336000 107059417920000 142745890560000 214118835840000 428237671680000
- Sum of all divisors σ(n): 1976301800317845
- Sum of proper divisors (its aliquot sum) s(n): 1548064128637845
- 428237671680000 is an abundant number, because the sum of its proper divisors (1548064128637845) is greater than itself. Its abundance is 1119826456957845
Bases of 428237671680000
- Binary: 11000010101111010110110100100110011001000000000002
- Hexadecimal: 0x1857ADA4CC800
- Base-36: 47SPO4Y680
Squares and roots of 428237671680000
- 428237671680000 squared (4282376716800002) is 183387503445907474022400000000
- 428237671680000 cubed (4282376716800003) is 78533437490883393500062660165632000000000000
-
The
square root of 428237671680000 is 20693904.2154930253 -
The
cube root of 428237671680000 is 75375.1674070353
Scales and comparisons
How big is 428237671680000?- 428,237,671,680,000 seconds is equal to 13,616,633 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 428,237,671,680,000 would take you about thirty-four million, forty-one thousand, five hundred eighty-three 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 428237671680000 cubic inches would be around 6281.3 feet tall.
Recreational maths with 428237671680000
- 428237671680000 backwards is 000086176732824
- The number of decimal digits it has is: 15
- The sum of 428237671680000's digits is 54
- More coming soon!
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Cite this page
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"Number 428237671680000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 428237671680000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/428237671680000/
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The information we have on file for 428237671680000 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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