47668080512000
47,668,080,512,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 47668080512000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
47668080512000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 47668080512000:
210 × 53 × 135 × 17 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 17 × 59)See below for interesting mathematical facts about the number 47668080512000 from the Numbermatics database.
Names of 47668080512000
- Cardinal: 47668080512000 can be written as Forty-seven trillion, six hundred sixty-eight billion, eighty million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 4.7668080512 × 1013
Factors of 47668080512000
Divisors of 47668080512000
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 59 64 65 68 80 85 100 104 118 125 128 130 136 160 169 170 200 208 221 236 250 256 260 272 295 320 325 338 340 400 416 425 442 472 500 512 520 544 590 640 650 676 680 767 800 832 845 850 884 944 1000 1003 1024 1040 1088 1105 1180 1280 1300 1352 1360 1475 1534 1600 1625 1664 1690 1700 1768 1888 2000 2006 2080 2125 2176 2197 2210 2360 2560 2600 2704 2720 2873 2950 3068 3200 3250 3328 3380 3400 3536 3776 3835 4000 4012 4160 4225 4250 4352 4394 4420 4720 5015 5120 5200 5408 5440 5525 5746 5900 6136 6400 6500 6656 6760 6800 7072 7375 7552 7670 8000 8024 8320 8450 8500 8704 8788 8840 9440 9971 10030 10400 10816 10880 10985 11050 11492 11800 12272 12800 13000 13039 13312 13520 13600 14144 14365 14750 15104 15340 16000 16048 16640 16900 17000 17408 17576 17680 18880 19175 19942 20060 20800 21125 21632 21760 21970 22100 22984 23600 24544 25075 25600 26000 26078 27040 27200 27625 28288 28561 28730 29500 30208 30680 32000 32096 33280 33800 34000 35152 35360 37349 37760 38350 39884 40120 41600 42250 43264 43520 43940 44200 45968 47200 49088 49855 50150 52000 52156 54080 54400 54925 55250 56576 57122 57460 59000 60416 61360 64000 64192 65195 66560 67600 68000 70304 70720 71825 74698 75520 76700 79768 80240 83200 84500 86528 87040 87880 88400 91936 94400 95875 98176 99710 100300 104000 104312 108160 108800 109850 110500 113152 114244 114920 118000 122720 125375 128000 128384 129623 130390 135200 136000 140608 141440 142805 143650 149396 151040 153400 159536 160480 166400 169000 169507 173056 175760 176800 183872 186745 188800 191750 196352 199420 200600 208000 208624 216320 217600 219700 221000 226304 228488 229840 236000 245440 249275 250750 256768 259246 260780 270400 272000 274625 281216 282880 285610 287300 298792 302080 306800 319072 320960 325975 332800 338000 339014 351520 353600 359125 367744 371293 373490 377600 383500 392704 398840 401200 416000 417248 432640 435200 439400 442000 456976 459680 472000 485537 490880 498550 501500 513536 518492 521560 540800 544000 549250 562432 565760 571220 574600 597584 613600 638144 641920 648115 651950 676000 678028 703040 707200 714025 718250 735488 742586 746980 755200 767000 785408 797680 802400 832000 834496 847535 865280 878800 884000 913952 919360 933725 944000 971074 981760 997100 1003000 1027072 1036984 1043120 1081600 1088000 1098500 1124864 1131520 1142440 1149200 1195168 1227200 1246375 1276288 1283840 1296230 1303900 1352000 1356056 1406080 1414400 1428050 1436500 1470976 1485172 1493960 1510400 1534000 1595360 1604800 1629875 1664000 1668992 1685099 1695070 1757600 1768000 1827904 1838720 1856465 1867450 1888000 1942148 1963520 1994200 2006000 2073968 2086240 2163200 2176000 2197000 2203591 2249728 2284880 2298400 2390336 2427685 2454400 2492750 2552576 2567680 2592460 2607800 2704000 2712112 2812160 2828800 2856100 2873000 2941952 2970344 2987920 3068000 3190720 3209600 3240575 3259750 3337984 3370198 3390140 3515200 3536000 3570125 3655808 3677440 3712930 3734900 3776000 3884296 3927040 3988400 4012000 4147936 4172480 4237675 4326400 4394000 4407182 4569760 4596800 4668625 4780672 4855370 4908800 4985500 5105152 5135360 5184920 5215600 5408000 5424224 5624320 5657600 5712200 5746000 5940688 5975840 6136000 6311981 6381440 6419200 6481150 6519500 6675968 6740396 6780280 7030400 7072000 7140250 7311616 7354880 7425860 7469800 7552000 7768592 7976800 8024000 8295872 8344960 8425495 8475350 8788000 8814364 9139520 9193600 9282325 9337250 9561344 9710740 9817600 9971000 10210304 10369840 10431200 10816000 10848448 11017955 11248640 11424400 11492000 11881376 11951680 12138425 12272000 12623962 12762880 12838400 12962300 13039000 13351936 13480792 13560560 14060800 14144000 14280500 14623232 14709760 14851720 14939600 15537184 15953600 16048000 16202875 16591744 16689920 16850990 16950700 17576000 17628728 18279040 18387200 18564650 18674500 19122688 19421480 19635200 19942000 20739680 20862400 21188375 21632000 21696896 21906287 22035910 22848800 22984000 23762752 23903360 24276850 24544000 25247924 25525760 25676800 25924600 26078000 26961584 27121120 28121600 28288000 28561000 28646683 29246464 29703440 29879200 31074368 31559905 31907200 32096000 32405750 33183488 33379840 33701980 33901400 35152000 35257456 36558080 36774400 37129300 37349000 38245376 38842960 39884000 41479360 41724800 42127475 42376750 43393792 43812574 44071820 45697600 45968000 46411625 47525504 47806720 48553700 49088000 50495848 51051520 51849200 52156000 53923168 54242240 55089775 56243200 57122000 57293366 59406880 59758400 60692125 62148736 63119810 63814400 64192000 64811500 66366976 66759680 67403960 67802800 70304000 70514912 73116160 73548800 74258600 74698000 77685920 79768000 82958720 83449600 84254950 84753500 86787584 87625148 88143640 91395200 91936000 92823250 95051008 95613440 97107400 98176000 100991696 103698400 104312000 107846336 108484480 109531435 110179550 114244000 114586732 118813760 119516800 121384250 124297472 126239620 127628800 128384000 129623000 132733952 134807920 135605600 140608000 141029824 143233415 146232320 148517200 149396000 155371840 157799525 159536000 165917440 166899200 168509900 169507000 173575168 175250296 176287280 182790400 183872000 185646500 190102016 191226880 194214800 201983392 207396800 208624000 210637375 215692672 216968960 219062870 220359100 228488000 229173464 237627520 239033600 242768500 248594944 252479240 255257600 259246000 269615840 271211200 275448875 281216000 282059648 286466830 297034400 298792000 310743680 315599050 319072000 331834880 333798400 337019800 339014000 350500592 352574560 365580800 367744000 371293000 372406879 380204032 388429600 403966784 414793600 417248000 421274750 431385344 433937920 438125740 440718200 456976000 458346928 475255040 478067200 485537000 497189888 504958480 518492000 539231680 542422400 547657175 550897750 564119296 572933660 594068800 597584000 621487360 631198100 638144000 663669760 674039600 678028000 701001184 705149120 716167075 731161600 742586000 744813758 776859200 788997625 807933568 829587200 834496000 842549500 862770688 867875840 876251480 881436400 913952000 916693856 950510080 956134400 971074000 1009916960 1036984000 1078463360 1084844800 1095314350 1101795500 1128238592 1145867320 1188137600 1195168000 1242974720 1262396200 1276288000 1348079200 1356056000 1402002368 1410298240 1432334150 1485172000 1489627516 1553718400 1577995250 1615867136 1659174400 1668992000 1685099000 1725541376 1752502960 1762872800 1827904000 1833387712 1862034395 1901020160 1942148000 2019833920 2073968000 2156926720 2169689600 2190628700 2203591000 2256477184 2291734640 2376275200 2390336000 2485949440 2524792400 2696158400 2712112000 2738285875 2804004736 2820596480 2864668300 2970344000 2979255032 3107436800 3155990500 3231734272 3318348800 3370198000 3505005920 3525745600 3580835375 3655808000 3666775424 3724068790 3884296000 4039667840 4147936000 4313853440 4339379200 4381257400 4407182000 4583469280 4752550400 4780672000 5049584800 5392316800 5424224000 5476571750 5608009472 5641192960 5729336600 5940688000 5958510064 6214873600 6311981000 6463468544 6740396000 7010011840 7051491200 7161670750 7333550848 7448137580 7768592000 8079335680 8295872000 8627706880 8762514800 8814364000 9166938560 9310171975 9505100800 10099169600 10784633600 10848448000 10953143500 11216018944 11282385920 11458673200 11881376000 11917020128 12429747200 12623962000 13480792000 14020023680 14102982400 14323341500 14667101696 14896275160 15537184000 16158671360 16591744000 17525029600 17628728000 18333877120 18620343950 20198339200 21569267200 21696896000 21906287000 22432037888 22917346400 23762752000 23834040256 25247924000 26961584000 28040047360 28205964800 28646683000 29334203392 29792550320 31074368000 32317342720 35050059200 35257456000 36667754240 37240687900 40396678400 43138534400 43812574000 45834692800 46550859875 47525504000 47668080512 50495848000 53923168000 56080094720 56411929600 57293366000 59585100640 62148736000 70100118400 70514912000 73335508480 74481375800 80793356800 87625148000 91669385600 93101719750 95336161024 100991696000 107846336000 112160189440 114586732000 119170201280 140200236800 141029824000 146671016960 148962751600 161586713600 175250296000 183338771200 186203439500 190672322048 201983392000 215692672000 229173464000 238340402560 280400473600 282059648000 297925503200 350500592000 366677542400 372406879000 381344644096 403966784000 458346928000 476680805120 560800947200 595851006400 701001184000 733355084800 744813758000 807933568000 916693856000 953361610240 1191702012800 1402002368000 1489627516000 1833387712000 1906723220480 2383404025600 2804004736000 2979255032000 3666775424000 4766808051200 5958510064000 9533616102400 11917020128000 23834040256000 47668080512000
- Sum of all divisors σ(n): 138721882703040
- Sum of proper divisors (its aliquot sum) s(n): 91053802191040
- 47668080512000 is an abundant number, because the sum of its proper divisors (91053802191040) is greater than itself. Its abundance is 43385721679040
Bases of 47668080512000
- Binary: 10101101011010100101110000000110001100000000002
- Hexadecimal: 0x2B5A97018C00
- Base-36: GWAEWDSZK
Squares and roots of 47668080512000
- 47668080512000 squared (476680805120002) is 2272245899698514182144000000
- 47668080512000 cubed (476680805120003) is 108313600489890650561214024777728000000000
-
The
square root of 47668080512000 is 6904207.4499539771 -
The
cube root of 47668080512000 is 36258.4488937697
Scales and comparisons
How big is 47668080512000?- 47,668,080,512,000 seconds is equal to 1,515,697 years, 26 weeks, 4 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 47,668,080,512,000 would take you about three million, seven hundred eighty-nine thousand, two hundred forty-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 47668080512000 cubic inches would be around 3021.5 feet tall.
Recreational maths with 47668080512000
- 47668080512000 backwards is 00021508086674
- The number of decimal digits it has is: 14
- The sum of 47668080512000's digits is 47
- More coming soon!
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The information we have on file for 47668080512000 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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