47828095744000
47,828,095,744,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 47828095744000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
47828095744000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 47828095744000:
211 × 53 × 11 × 13 × 97 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 97 × 13469)See below for interesting mathematical facts about the number 47828095744000 from the Numbermatics database.
Names of 47828095744000
- Cardinal: 47828095744000 can be written as Forty-seven trillion, eight hundred twenty-eight billion, ninety-five million, seven hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.7828095744 × 1013
Factors of 47828095744000
Divisors of 47828095744000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 97 100 104 110 125 128 130 143 160 176 194 200 208 220 250 256 260 275 286 320 325 352 388 400 416 440 485 500 512 520 550 572 640 650 704 715 776 800 832 880 970 1000 1024 1040 1067 1100 1144 1261 1280 1300 1375 1408 1430 1552 1600 1625 1664 1760 1940 2000 2048 2080 2134 2200 2288 2425 2522 2560 2600 2750 2816 2860 3104 3200 3250 3328 3520 3575 3880 4000 4160 4268 4400 4576 4850 5044 5120 5200 5335 5500 5632 5720 6208 6305 6400 6500 6656 7040 7150 7760 8000 8320 8536 8800 9152 9700 10088 10240 10400 10670 11000 11264 11440 12125 12416 12610 12800 13000 13312 13469 13871 14080 14300 15520 16000 16640 17072 17600 17875 18304 19400 20176 20800 21340 22000 22528 22880 24250 24832 25220 25600 26000 26624 26675 26938 27742 28160 28600 31040 31525 32000 33280 34144 35200 35750 36608 38800 40352 41600 42680 44000 45760 48500 49664 50440 51200 52000 53350 53876 55484 56320 57200 62080 63050 64000 66560 67345 68288 69355 70400 71500 73216 77600 80704 83200 85360 88000 91520 97000 99328 100880 104000 106700 107752 110968 112640 114400 124160 126100 128000 133120 133375 134690 136576 138710 140800 143000 146432 148159 155200 157625 161408 166400 170720 175097 176000 183040 194000 198656 201760 208000 213400 215504 221936 228800 248320 252200 256000 266750 269380 273152 277420 281600 286000 292864 296318 310400 315250 322816 332800 336725 341440 346775 350194 352000 366080 388000 403520 416000 426800 431008 443872 457600 496640 504400 533500 538760 546304 554840 563200 572000 592636 620800 630500 645632 665600 673450 682880 693550 700388 704000 732160 740795 776000 807040 832000 853600 862016 875485 887744 915200 993280 1008800 1067000 1077520 1092608 1109680 1144000 1185272 1241600 1261000 1291264 1306493 1346900 1365760 1387100 1400776 1408000 1464320 1481590 1552000 1614080 1664000 1683625 1707200 1724032 1733875 1750970 1775488 1830400 1926067 2017600 2134000 2155040 2185216 2219360 2288000 2370544 2483200 2522000 2582528 2612986 2693800 2731520 2774200 2801552 2816000 2963180 3104000 3228160 3328000 3367250 3414400 3448064 3467750 3501940 3550976 3660800 3703975 3852134 4035200 4268000 4310080 4377425 4438720 4576000 4741088 4966400 5044000 5225972 5387600 5463040 5548400 5603104 5926360 6208000 6456320 6532465 6734500 6828800 6896128 6935500 7003880 7101952 7321600 7407950 7704268 8070400 8536000 8620160 8754850 8877440 9152000 9482176 9630335 10088000 10451944 10775200 10926080 11096800 11206208 11852720 12416000 12912640 13064930 13469000 13657600 13792256 13871000 14007760 14203904 14371423 14815900 15408536 16140800 16984409 17072000 17240320 17509700 17754880 18304000 18519875 18964352 19260670 20176000 20903888 21550400 21887125 22193600 22412416 23705440 24832000 26129860 26938000 27315200 27584512 27742000 28015520 28407808 28742846 29631800 30817072 32281600 32662325 33968818 34144000 34480640 35019400 35509760 36608000 37039750 37928704 38521340 40352000 41807776 43100800 43774250 44387200 44824832 47410880 48151675 52259720 53876000 54630400 55484000 56031040 57485692 59263600 61634144 64563200 65324650 67937636 68288000 68961280 70038800 71019520 71857115 74079500 75857408 77042680 80704000 83615552 84922045 86201600 87548500 88774400 89649664 94821760 96303350 104519440 107752000 110968000 112062080 114971384 118527200 123268288 130649300 135875272 136576000 137922560 140077600 142039040 143714230 148159000 151714816 154085360 161408000 163311625 167231104 169844090 172403200 175097000 177548800 179299328 186828499 189643520 192606700 209038880 215504000 221936000 224124160 229942768 237054400 240758375 246536576 261298600 271750544 273152000 280155200 287428460 296318000 303429632 308170720 322816000 326623250 334462208 339688180 344806400 350194000 355097600 358598656 359285575 373656998 379287040 385213400 418077760 424610225 431008000 443872000 448248320 459885536 474108800 481516750 493073152 522597200 543501088 560310400 574856920 592636000 616341440 653246500 668924416 679376360 689612800 700388000 710195200 718571150 747313996 758574080 770426800 836155520 849220450 862016000 887744000 896496640 919771072 934142495 948217600 963033500 986146304 1045194400 1087002176 1120620800 1149713840 1185272000 1232682880 1306493000 1337848832 1358752720 1400776000 1437142300 1494627992 1517148160 1540853600 1672311040 1698440900 1724032000 1775488000 1792993280 1796427875 1839542144 1868284990 1896435200 1926067000 1972292608 2090388800 2123051125 2174004352 2241241600 2299427680 2370544000 2465365760 2612986000 2675697664 2717505440 2801552000 2874284600 2989255984 3081707200 3344622080 3396881800 3448064000 3550976000 3592855750 3679084288 3736569980 3792870400 3852134000 3944585216 4180777600 4246102250 4348008704 4482483200 4598855360 4670712475 4741088000 4930731520 5225972000 5435010880 5603104000 5748569200 5978511968 6163414400 6689244160 6793763600 7185711500 7358168576 7473139960 7585740800 7704268000 8361555200 8492204500 8696017408 8964966400 9197710720 9341424950 9482176000 9861463040 10451944000 10870021760 11206208000 11497138400 11957023936 12326828800 13378488320 13587527200 14371423000 14716337152 14946279920 15408536000 16723110400 16984409000 17392034816 18395421440 18682849900 18964352000 19722926080 20903888000 21740043520 22412416000 22994276800 23353562375 23914047872 24653657600 27175054400 28742846000 29432674304 29892559840 30817072000 33446220800 33968818000 34784069632 36790842880 37365699800 37928704000 41807776000 43480087040 44824832000 45988553600 46707124750 47828095744 49307315200 54350108800 57485692000 59785119680 61634144000 66892441600 67937636000 73581685760 74731399600 83615552000 86960174080 91977107200 93414249500 95656191488 98614630400 108700217600 114971384000 119570239360 123268288000 135875272000 147163371520 149462799200 167231104000 173920348160 183954214400 186828499000 191312382976 217400435200 229942768000 239140478720 246536576000 271750544000 298925598400 334462208000 367908428800 373656998000 382624765952 434800870400 459885536000 478280957440 493073152000 543501088000 597851196800 735816857600 747313996000 869601740800 919771072000 956561914880 1087002176000 1195702393600 1494627992000 1839542144000 1913123829760 2174004352000 2391404787200 2989255984000 3679084288000 4348008704000 4782809574400 5978511968000 9565619148800 11957023936000 23914047872000 47828095744000
- Sum of all divisors σ(n): 141671162505600
- Sum of proper divisors (its aliquot sum) s(n): 93843066761600
- 47828095744000 is an abundant number, because the sum of its proper divisors (93843066761600) is greater than itself. Its abundance is 46014971017600
Bases of 47828095744000
- Binary: 10101101111111110110001010100000111000000000002
- Hexadecimal: 0x2B7FD8A83800
- Base-36: GYBX9BK74
Squares and roots of 47828095744000
- 47828095744000 squared (478280957440002) is 2287526742497230913536000000
- 47828095744000 cubed (478280957440003) is 109408048057117993787476393590784000000000
-
The
square root of 47828095744000 is 6915785.9816509649 -
The
cube root of 47828095744000 is 36298.9751331541
Scales and comparisons
How big is 47828095744000?- 47,828,095,744,000 seconds is equal to 1,520,785 years, 26 weeks, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 47,828,095,744,000 would take you about three million, eight hundred one thousand, nine hundred sixty-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 47828095744000 cubic inches would be around 3024.9 feet tall.
Recreational maths with 47828095744000
- 47828095744000 backwards is 00044759082874
- The number of decimal digits it has is: 14
- The sum of 47828095744000's digits is 58
- More coming soon!
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