428940960448000
428,940,960,448,000 is an even composite number composed of seven prime numbers multiplied together.
428940960448000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 428940960448000:
29 × 53 × 73 × 11 × 132 × 23 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 13 × 23 × 457)See below for interesting mathematical facts about the number 428940960448000 from the Numbermatics database.
Names of 428940960448000
- Cardinal: 428940960448000 can be written as Four hundred twenty-eight trillion, nine hundred forty billion, nine hundred sixty million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 4.28940960448 × 1014
Factors of 428940960448000
Divisors of 428940960448000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 23 25 26 28 32 35 40 44 46 49 50 52 55 56 64 65 70 77 80 88 91 92 98 100 104 110 112 115 125 128 130 140 143 154 160 161 169 175 176 182 184 196 200 208 220 224 230 245 250 253 256 260 275 280 286 299 308 320 322 325 338 343 350 352 364 368 385 392 400 416 440 448 455 457 460 490 500 506 512 520 539 550 560 572 575 598 616 637 640 644 650 676 686 700 704 715 728 736 770 784 800 805 832 845 875 880 896 910 914 920 980 1000 1001 1012 1040 1078 1100 1120 1127 1144 1150 1183 1196 1225 1232 1265 1274 1280 1288 1300 1352 1372 1375 1400 1408 1430 1456 1472 1495 1540 1568 1600 1610 1625 1664 1690 1715 1750 1760 1771 1792 1820 1828 1840 1859 1925 1960 2000 2002 2024 2080 2093 2156 2200 2240 2254 2275 2285 2288 2300 2366 2392 2450 2464 2530 2548 2560 2576 2600 2695 2704 2744 2750 2800 2816 2860 2875 2912 2944 2990 3080 3136 3185 3199 3200 3220 3250 3289 3328 3380 3430 3500 3520 3542 3575 3584 3640 3656 3680 3718 3773 3850 3887 3920 4000 4004 4025 4048 4160 4186 4225 4312 4400 4459 4480 4508 4550 4570 4576 4600 4732 4784 4900 4928 5005 5027 5060 5096 5152 5200 5390 5408 5488 5500 5600 5632 5635 5720 5750 5824 5888 5915 5941 5980 6125 6160 6272 6325 6370 6398 6400 6440 6500 6578 6656 6760 6860 7000 7007 7040 7084 7150 7280 7312 7360 7436 7475 7546 7700 7774 7840 7889 8000 8008 8050 8096 8281 8320 8372 8450 8575 8624 8800 8855 8918 8960 9016 9100 9140 9152 9200 9295 9464 9568 9625 9800 9856 10010 10054 10120 10192 10304 10400 10465 10511 10780 10816 10976 11000 11200 11270 11375 11425 11440 11500 11648 11776 11830 11882 11960 12250 12320 12397 12544 12650 12740 12796 12800 12880 13000 13013 13156 13475 13520 13720 14000 14014 14080 14168 14300 14560 14624 14651 14720 14872 14950 15092 15400 15548 15680 15778 15925 15995 16000 16016 16100 16192 16445 16562 16640 16744 16900 17150 17248 17600 17710 17836 17875 17920 18032 18200 18280 18304 18400 18590 18865 18928 19136 19250 19435 19600 19712 20020 20108 20125 20240 20384 20608 20800 20930 21022 21125 21560 21632 21952 22000 22295 22393 22400 22540 22750 22850 22880 23000 23023 23296 23660 23764 23920 24500 24640 24794 25025 25088 25135 25300 25480 25592 25760 26000 26026 26312 26950 27040 27209 27440 28000 28028 28160 28175 28336 28600 29120 29248 29302 29440 29575 29705 29744 29900 30184 30800 31096 31360 31556 31625 31850 31990 32000 32032 32200 32384 32890 33124 33280 33488 33800 34300 34496 35035 35189 35200 35420 35672 35750 36064 36400 36560 36608 36800 37180 37375 37730 37856 38272 38500 38870 39200 39424 39445 40040 40216 40250 40480 40768 41216 41405 41587 41600 41860 42044 42250 42757 42875 43120 43264 43904 44000 44275 44590 44786 44800 45080 45500 45700 45760 46000 46046 46475 46592 47320 47528 47840 49000 49049 49280 49588 50050 50270 50600 50960 51184 51520 52000 52052 52325 52555 52624 53900 54080 54418 54880 56000 56056 56350 56672 57125 57200 57967 58240 58496 58604 58880 59150 59410 59488 59800 60368 61600 61985 62192 62720 63112 63250 63700 63980 64000 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1695418816000 1715763841792 1750779430400 1864960697600 1914915002000 1949731638400 2062216156000 2144704802240 2188474288000 2331200872000 2356818464000 2437164548000 2451091202560 2538112192000 2664229568000 2680881002800 2785330912000 2999587136000 3063864003200 3299545849600 3351101253500 3431527683584 3729921395200 3829830004000 3899463276800 4124432312000 4289409604480 4376948576000 4662401744000 4713636928000 4874329096000 5361762005600 5570661824000 6127728006400 6599091699200 6702202507000 7659660008000 7798926553600 8248864624000 8578819208960 8753897152000 9324803488000 9748658192000 10723524011200 12255456012800 13404405014000 15319320016000 16497729248000 17157638417920 18649606976000 19497316384000 21447048022400 26808810028000 30638640032000 32995458496000 38994632768000 42894096044800 53617620056000 61277280064000 85788192089600 107235240112000 214470480224000 428940960448000
- Sum of all divisors σ(n): 1540881634406400
- Sum of proper divisors (its aliquot sum) s(n): 1111940673958400
- 428940960448000 is an abundant number, because the sum of its proper divisors (1111940673958400) is greater than itself. Its abundance is 682999713510400
Bases of 428940960448000
- Binary: 11000011000011110100110011001001110111110000000002
- Hexadecimal: 0x1861E9993BE00
- Base-36: 481OR8X8N4
Squares and roots of 428940960448000
- 428940960448000 squared (4289409604480002) is 183990347550052700360704000000
- 428940960448000 cubed (4289409604480003) is 78920996391280929045736329797435392000000000
-
The
square root of 428940960448000 is 20710889.8999535991 -
The
cube root of 428940960448000 is 75416.4073687839
Scales and comparisons
How big is 428940960448000?- 428,940,960,448,000 seconds is equal to 13,638,995 years, 38 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,940,960,448,000 would take you about thirty-four million, ninety-seven thousand, four hundred eighty-nine 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 428940960448000 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428940960448000
- 428940960448000 backwards is 000844069049824
- The number of decimal digits it has is: 15
- The sum of 428940960448000's digits is 58
- More coming soon!
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Cite this page
MLA style:
"Number 428940960448000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 428940960448000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/428940960448000/
Chicago style:
Numbermatics. 2024. "Number 428940960448000 - Facts about the integer". https://numbermatics.com/n/428940960448000/
The information we have on file for 428940960448000 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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