380384805216000
380,384,805,216,000 is an even composite number composed of seven prime numbers multiplied together.
380384805216000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 380384805216000:
28 × 3 × 53 × 132 × 233 × 41 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 23 × 23 × 23 × 41 × 47)See below for interesting mathematical facts about the number 380384805216000 from the Numbermatics database.
Names of 380384805216000
- Cardinal: 380384805216000 can be written as Three hundred eighty trillion, three hundred eighty-four billion, eight hundred five million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 3.80384805216 × 1014
Factors of 380384805216000
Divisors of 380384805216000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 32 39 40 41 46 47 48 50 52 60 64 65 69 75 78 80 82 92 94 96 100 104 115 120 123 125 128 130 138 141 150 156 160 164 169 184 188 192 195 200 205 208 230 235 240 246 250 256 260 276 282 299 300 312 320 325 328 338 345 368 375 376 384 390 400 410 416 460 470 480 492 500 507 520 529 533 552 564 575 598 600 611 615 624 640 650 656 676 690 705 736 750 752 768 780 800 820 832 845 897 920 940 943 960 975 984 1000 1014 1025 1040 1058 1066 1081 1104 1128 1150 1175 1196 1200 1222 1230 1248 1280 1300 1312 1352 1380 1410 1472 1495 1500 1504 1560 1587 1599 1600 1625 1640 1664 1690 1725 1794 1833 1840 1880 1886 1920 1927 1950 1968 2000 2028 2050 2080 2116 2132 2162 2208 2256 2300 2350 2392 2400 2444 2460 2496 2535 2600 2624 2645 2665 2704 2760 2820 2829 2875 2944 2990 3000 3008 3055 3075 3120 3174 3198 3200 3243 3250 3280 3328 3380 3450 3525 3588 3666 3680 3760 3772 3840 3854 3887 3900 3936 4000 4056 4100 4160 4225 4232 4264 4324 4416 4485 4512 4600 4700 4715 4784 4800 4875 4888 4920 4992 5070 5125 5200 5248 5290 5330 5405 5408 5520 5640 5658 5750 5781 5875 5888 5980 6000 6016 6110 6150 6240 6348 6396 6400 6486 6500 6560 6760 6877 6900 6929 7050 7176 7332 7360 7475 7520 7544 7708 7774 7800 7872 7935 7943 7995 8000 8112 8200 8320 8450 8464 8528 8625 8648 8832 8970 9024 9165 9200 9400 9430 9568 9600 9635 9750 9776 9840 9984 10140 10250 10400 10496 10580 10660 10810 10816 11040 11280 11316 11500 11562 11661 11750 11960 12000 12032 12167 12220 12259 12300 12480 12675 12696 12792 12972 13000 13120 13225 13325 13520 13754 13800 13858 14053 14100 14145 14352 14664 14720 14950 15040 15088 15275 15375 15416 15548 15600 15744 15870 15886 15990 16000 16215 16224 16400 16640 16900 16928 17056 17250 17296 17625 17664 17940 18048 18330 18400 18800 18860 19136 19200 19270 19435 19500 19552 19680 20280 20500 20631 20787 20800 21125 21160 21320 21620 21632 21689 22080 22425 22560 22632 23000 23124 23322 23500 23575 23829 23920 24000 24334 24440 24518 24600 24863 24960 25051 25350 25392 25584 25944 26000 26240 26450 26650 27025 27040 27508 27600 27716 28106 28200 28290 28704 28905 29328 29440 29900 30080 30176 30550 30750 30832 31096 31200 31488 31740 31772 31980 32000 32430 32448 32800 33800 33856 34112 34385 34500 34592 34645 35250 35880 36096 36501 36660 36777 36800 37375 37600 37720 38272 38540 38870 39000 39104 39360 39675 39715 39975 40560 41000 41262 41574 41600 42159 42250 42320 42640 43240 43264 43378 44160 44321 44850 45120 45264 45825 46000 46248 46644 47000 47150 47658 47840 48000 48175 48668 48880 49036 49200 49726 49920 50102 50700 50784 51168 51888 52000 52480 52900 53300 54050 54080 55016 55200 55432 56212 56400 56580 57408 57810 58305 58656 59800 60160 60352 60835 61100 61295 61500 61664 62192 62400 63375 63480 63544 63960 64860 64896 65067 65600 66125 66625 67600 67712 68224 68770 69000 69184 69290 70265 70500 70725 71760 73002 73320 73554 73600 74589 74750 75153 75200 75440 76375 76544 77080 77740 78000 78208 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165384697920 168610286000 172275727000 175941168000 178416888000 179765976000 182877310200 185553563520 187566472000 190192402608 193284962000 195069130880 197397408000 198117086050 201688656000 202332343200 206730872400 207520352000 212031664000 220512930560 225079766400 228596637750 231941954400 234082957056 237740503260 237889184000 239687968000 243836413600 252915429000 253589870144 254437996800 258413590500 269776457600 275641163200 281349708000 289927443000 292603696320 297175629075 304795517000 309255939200 311280528000 316987337680 318047496000 323731749120 330769395840 337220572000 344551454000 351882336000 356833776000 359531952000 365754620400 371107127040 375132944000 380384805216 386569924000 390138261760 396234172100 403377312000 404664686400 413461744800 424063328000 450159532800 457193275500 463883908800 475481006520 487672827200 495292715125 505830858000 507179740288 516827181000 539552915200 551282326400 562699416000 579854886000 585207392640 594351258150 609591034000 618511878400 622561056000 633974675360 636094992000 661538791680 674441144000 689102908000 713667552000 719063904000 731509240800 750265888000 760769610432 773139848000 792468344200 809329372800 826923489600 914386551000 927767817600 950962013040 975345654400 990585430250 1011661716000 1014359480576 1033654362000 1102564652800 1125398832000 1159709772000 1170414785280 1188702516300 1219182068000 1267949350720 1272189984000 1348882288000 1378205816000 1463018481600 1485878145375 1521539220864 1546279696000 1584936688400 1618658745600 1653846979200 1828773102000 1855535635200 1901924026080 1950691308800 1981170860500 2023323432000 2067308724000 2250797664000 2319419544000 2377405032600 2438364136000 2535898701440 2697764576000 2756411632000 2926036963200 2971756290750 3043078441728 3092559392000 3169873376800 3307693958400 3657546204000 3803848052160 3962341721000 4046646864000 4134617448000 4638839088000 4754810065200 4876728272000 5071797402880 5512823264000 5852073926400 5943512581500 6339746753600 7315092408000 7607696104320 7924683442000 8093293728000 8269234896000 9277678176000 9509620130400 9753456544000 11887025163000 12679493507200 14630184816000 15215392208640 15849366884000 16538469792000 19019240260800 23774050326000 25358987014400 29260369632000 31698733768000 38038480521600 47548100652000 63397467536000 76076961043200 95096201304000 126794935072000 190192402608000 380384805216000
- Sum of all divisors σ(n): 1496353551114240
- Sum of proper divisors (its aliquot sum) s(n): 1115968745898240
- 380384805216000 is an abundant number, because the sum of its proper divisors (1115968745898240) is greater than itself. Its abundance is 735583940682240
Bases of 380384805216000
- Binary: 10101100111110101001111010011000101011111000000002
- Hexadecimal: 0x159F53D315F00
- Base-36: 3QU2D7S45C
Squares and roots of 380384805216000
- 380384805216000 squared (3803848052160002) is 144692600039214260806656000000
- 380384805216000 cubed (3803848052160003) is 55038866482113110558629265596317696000000000
-
The
square root of 380384805216000 is 19503456.2377031011 -
The
cube root of 380384805216000 is 72456.0053475067
Scales and comparisons
How big is 380384805216000?- 380,384,805,216,000 seconds is equal to 12,095,060 years, 10 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 380,384,805,216,000 would take you about thirty million, two hundred thirty-seven thousand, six 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 380384805216000 cubic inches would be around 6038 feet tall.
Recreational maths with 380384805216000
- 380384805216000 backwards is 000612508483083
- 380384805216000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 380384805216000's digits is 48
- More coming soon!
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"Number 380384805216000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 380384805216000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/380384805216000/
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Numbermatics. 2024. "Number 380384805216000 - Facts about the integer". https://numbermatics.com/n/380384805216000/
The information we have on file for 380384805216000 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 380384805216000, math, Factors of 380384805216000, curriculum, school, college, exams, university, Prime factorization of 380384805216000, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty trillion, three hundred eighty-four billion, eight hundred five million, two hundred sixteen thousand.