47628318672000
47,628,318,672,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 47628318672000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
47628318672000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 47628318672000:
27 × 32 × 53 × 11 × 23 × 37 × 89 × 397
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 23 × 37 × 89 × 397)See below for interesting mathematical facts about the number 47628318672000 from the Numbermatics database.
Names of 47628318672000
- Cardinal: 47628318672000 can be written as Forty-seven trillion, six hundred twenty-eight billion, three hundred eighteen million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.7628318672 × 1013
Factors of 47628318672000
Divisors of 47628318672000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 23 24 25 30 32 33 36 37 40 44 45 46 48 50 55 60 64 66 69 72 74 75 80 88 89 90 92 96 99 100 110 111 115 120 125 128 132 138 144 148 150 160 165 176 178 180 184 185 192 198 200 207 220 222 225 230 240 250 253 264 267 275 276 288 296 300 320 330 333 345 352 356 360 368 370 375 384 396 397 400 407 414 440 444 445 450 460 480 495 500 506 528 534 550 552 555 575 576 592 600 640 660 666 690 704 712 720 736 740 750 759 792 794 800 801 814 825 828 851 880 888 890 900 920 925 960 979 990 1000 1012 1035 1056 1068 1100 1104 1110 1125 1150 1152 1184 1191 1200 1221 1265 1320 1332 1335 1375 1380 1408 1424 1440 1472 1480 1500 1518 1584 1588 1600 1602 1628 1650 1656 1665 1702 1725 1760 1776 1780 1800 1840 1850 1920 1958 1980 1985 2000 2024 2035 2047 2070 2112 2136 2200 2208 2220 2225 2250 2277 2300 2368 2382 2400 2442 2475 2530 2553 2640 2664 2670 2750 2760 2775 2848 2875 2880 2937 2944 2960 3000 3036 3168 3176 3200 3204 3256 3293 3300 3312 3330 3404 3450 3520 3552 3560 3573 3600 3663 3680 3700 3795 3916 3960 3970 4000 4005 4048 4070 4094 4125 4140 4224 4255 4272 4367 4400 4416 4440 4450 4500 4554 4600 4625 4736 4764 4800 4884 4895 4950 5060 5106 5175 5280 5328 5340 5500 5520 5550 5696 5750 5760 5874 5920 5955 6000 6072 6105 6141 6325 6336 6352 6408 6512 6586 6600 6624 6660 6675 6808 6900 7040 7104 7120 7146 7200 7326 7360 7400 7590 7659 7832 7920 7940 8000 8010 8096 8140 8188 8250 8280 8325 8510 8544 8625 8734 8800 8811 8832 8880 8900 9000 9108 9131 9200 9250 9361 9528 9600 9768 9790 9879 9900 9925 10120 10175 10212 10235 10350 10560 10656 10680 11000 11040 11100 11125 11385 11392 11500 11748 11840 11910 12000 12144 12210 12282 12375 12650 12672 12704 12765 12816 13024 13101 13172 13200 13248 13320 13350 13616 13800 13875 14208 14240 14292 14400 14652 14685 14689 14720 14800 15180 15318 15664 15840 15880 16000 16020 16192 16280 16376 16465 16500 16560 16650 17020 17088 17250 17468 17600 17622 17760 17800 17865 18000 18216 18262 18315 18400 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3497967000 3567664320 3575699600 3595132750 3608205960 3615876000 3635472000 3656965500 3716317000 3731164800 3749080500 3758547875 3765084480 3848753024 3877896000 3900763200 3921963000 3969026556 3999019200 4022662050 4054164000 4141592928 4180856625 4183427200 4281197184 4290839520 4314159300 4329847152 4459580400 4469624500 4510257450 4601769920 4653475200 4663956000 4680915840 4706355600 4798823040 4810941280 4821168000 4864996800 4875954000 4961283195 4998774000 5087952000 5149007424 5176991160 5216112000 5229284000 5292035408 5351496480 5363549400 5392699125 5405552000 5412308940 5453208000 5522123904 5574475500 5596747200 5721119360 5752212400 5773129536 5816844000 5851144800 5882944500 5946107200 5953539834 5998528800 6013676600 6081246000 6218608000 6275140800 6436259280 6471238950 6501272000 6615044260 6665032000 6689370600 6704436750 6765386175 6902654880 6995934000 7135328640 7151399200 7190265500 7216411920 7231752000 7313931000 7432634000 7498161000 7517095750 7530168960 7755792000 7801526400 7843926000 7938053112 7998038400 8045324100 8108328000 8268805325 8283185856 8361713250 8581679040 8628318600 8659694304 8919160800 8939249000 9020514900 9203539840 9327912000 9412711200 9621882560 9729993600 9751908000 9922566390 9997548000 10056655125 10298014848 10353982320 10458568000 10584070816 10702992960 10727098800 10785398250 10824617880 10906416000 11148951000 11193494400 11275643625 11504424800 11546259072 11633688000 11702289600 11765889000 11892214400 11907079668 11997057600 12027353200 12162492000 12550281600 12872518560 12942477900 13002544000 13230088520 13330064000 13378741200 13408873500 13530772350 13805309760 13991868000 14302798400 14380531000 14432823840 14463504000 14627862000 14865268000 14883849585 14996322000 15034191500 15687852000 15876106224 16090648200 16178097375 16216656000 16537610650 16566371712 16723426500 17163358080 17256637200 17319388608 17838321600 17878498000 18041029800 18655824000 18825422400 19243765120 19503816000 19845132780 19995096000 20113310250 20707964640 20917136000 21168141632 21405985920 21454197600 21570796500 21649235760 22297902000 22551287250 23008849600 23267376000 23404579200 23531778000 23814159336 23994115200 24054706400 24324984000 24806415975 25745037120 25884955800 26460177040 26757482400 26817747000 27061544700 27610619520 27983736000 28605596800 28761062000 28865647680 29255724000 29730536000 29767699170 29992644000 30068383000 31375704000 31752212448 32181296400 32356194750 33075221300 33446853000 33826930875 34513274400 34638777216 35676643200 35756996000 36082059600 37650844800 39007632000 39690265560 39990192000 40226620500 41344026625 41415929280 42336283264 42908395200 43141593000 43298471520 44595804000 45102574500 46017699200 47063556000 47628318672 48109412800 48649968000 49612831950 51490074240 51769911600 52920354080 53514964800 53635494000 54123089400 55967472000 57522124000 57731295360 58511448000 59461072000 59535398340 59985288000 60136766000 62751408000 63504424896 64362592800 64712389500 66150442600 66893706000 67653861750 69026548800 71513992000 72164119200 74419247925 79380531120 80453241000 82688053250 82831858560 85816790400 86283186000 86596943040 89191608000 90205149000 94127112000 95256637344 96218825600 99225663900 103539823200 105840708160 107029929600 107270988000 108246178800 115044248000 117022896000 119070796680 119970576000 120273532000 124032079875 127008849792 128725185600 129424779000 132300885200 133787412000 135307723500 138053097600 143027984000 144328238400 148838495850 158761062240 160906482000 165376106500 172566372000 173193886080 178383216000 180410298000 188254224000 190513274688 198451327800 207079646400 211681416320 214541976000 216492357600 230088496000 238141593360 240547064000 248064159750 257450371200 258849558000 264601770400 267574824000 270615447000 288656476800 297676991700 317522124480 321812964000 330752213000 345132744000 360820596000 372096239625 381026549376 396902655600 414159292800 429083952000 432984715200 476283186720 481094128000 496128319500 517699116000 529203540800 535149648000 541230894000 595353983400 635044248960 643625928000 661504426000 690265488000 721641192000 744192479250 793805311200 865969430400 952566373440 992256639000 1035398232000 1058407081600 1082461788000 1190707966800 1287251856000 1323008852000 1443282384000 1488384958500 1587610622400 1905132746880 1984513278000 2070796464000 2164923576000 2381415933600 2646017704000 2976769917000 3175221244800 3969026556000 4329847152000 4762831867200 5292035408000 5953539834000 7938053112000 9525663734400 11907079668000 15876106224000 23814159336000 47628318672000
- Sum of all divisors σ(n): 202726161331200
- Sum of proper divisors (its aliquot sum) s(n): 155097842659200
- 47628318672000 is an abundant number, because the sum of its proper divisors (155097842659200) is greater than itself. Its abundance is 107469523987200
Bases of 47628318672000
- Binary: 10101101010001010101010000010000000100100000002
- Hexadecimal: 0x2B5155040480
- Base-36: GVS5B7KW0
Squares and roots of 47628318672000
- 47628318672000 squared (476283186720002) is 2268456739521583843584000000
- 47628318672000 cubed (476283186720003) is 108042780483580092124385354600448000000000
-
The
square root of 47628318672000 is 6901327.3123363739 -
The
cube root of 47628318672000 is 36248.3645516941
Scales and comparisons
How big is 47628318672000?- 47,628,318,672,000 seconds is equal to 1,514,433 years, 10 weeks, 6 days, 8 hours.
-
To count from 1 to 47,628,318,672,000 would take you about three million, seven hundred eighty-six thousand and 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 47628318672000 cubic inches would be around 3020.7 feet tall.
Recreational maths with 47628318672000
- 47628318672000 backwards is 00027681382674
- The number of decimal digits it has is: 14
- The sum of 47628318672000's digits is 54
- More coming soon!
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Cite this page
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"Number 47628318672000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 47628318672000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/47628318672000/
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The information we have on file for 47628318672000 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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