47972587916557382000
47,972,587,916,557,382,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 47972587916557382000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
47972587916557382000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 47972587916557382000:
24 × 53 × 136 × 232 × 2113
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 13 × 13 × 23 × 23 × 211 × 211 × 211)See below for interesting mathematical facts about the number 47972587916557382000 from the Numbermatics database.
Names of 47972587916557382000
- Cardinal: 47972587916557382000 can be written as Forty-seven quintillion, nine hundred seventy-two quadrillion, five hundred eighty-seven trillion, nine hundred sixteen billion, five hundred fifty-seven million, three hundred eighty-two thousand.
Scientific notation
- Scientific notation: 4.7972587916557382 × 1019
Factors of 47972587916557382000
Divisors of 47972587916557382000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 40 46 50 52 65 80 92 100 104 115 125 130 169 184 200 208 211 230 250 260 299 325 338 368 400 422 460 500 520 529 575 598 650 676 844 845 920 1000 1040 1055 1058 1150 1196 1300 1352 1495 1625 1688 1690 1840 2000 2110 2116 2197 2300 2392 2600 2645 2704 2743 2875 2990 3250 3376 3380 3887 4220 4225 4232 4394 4600 4784 4853 5200 5275 5290 5486 5750 5980 6500 6760 6877 7475 7774 8440 8450 8464 8788 9200 9706 10550 10580 10972 10985 11500 11960 13000 13225 13520 13715 13754 14950 15548 16880 16900 17576 19412 19435 21100 21125 21160 21944 21970 23000 23920 24265 26000 26375 26450 27430 27508 28561 29900 31096 33800 34385 35152 35659 37375 38824 38870 42200 42250 42320 43888 43940 44521 46000 48530 50531 52750 52900 54860 54925 55016 57122 59800 62192 63089 66125 67600 68575 68770 71318 74750 77648 77740 84400 84500 87880 89042 89401 97060 97175 101062 105500 105800 109720 109850 110032 111619 114244 119600 121325 126178 132250 137150 137540 142636 142805 149500 155480 169000 171925 175760 178084 178295 178802 194120 194350 202124 211000 211600 219440 219700 222605 223238 228488 242650 252356 252655 264500 274300 274625 275080 285272 285610 299000 310960 315445 338000 342875 343850 356168 356590 357604 371293 388240 388700 404248 422000 439400 445210 446476 447005 456976 463567 485300 485875 504712 505310 529000 548600 549250 550160 558095 570544 571220 578773 598000 606625 630890 656903 685750 687700 712336 713180 714025 715208 742586 777400 808496 820157 859625 878800 890420 891475 892952 894010 927134 970600 971750 1009424 1010620 1023983 1058000 1097200 1098500 1113025 1116190 1142440 1157546 1162213 1213250 1261780 1263275 1313806 1371500 1375400 1426360 1428050 1430416 1451047 1485172 1554800 1577225 1640314 1719250 1780840 1782950 1785904 1788020 1854268 1856465 1941200 1943500 2021240 2047966 2197000 2226050 2232380 2235025 2284880 2315092 2317835 2324426 2426500 2523560 2526550 2627612 2743000 2750800 2790475 2852720 2856100 2893865 2902094 2970344 3154450 3280628 3284515 3438500 3561680 3565900 3570125 3576040 3708536 3712930 3887000 4042480 4095932 4100785 4394000 4452100 4457375 4464760 4470050 4630184 4635670 4648852 4826809 4853000 5047120 5053100 5119915 5255224 5486000 5565125 5580950 5712200 5787730 5804188 5811065 5940688 6026371 6308900 6316375 6561256 6569030 6877000 7131800 7140250 7152080 7255235 7417072 7425860 7524049 7774000 7886125 8191864 8201570 8539739 8904200 8914750 8929520 8940100 9260368 9271340 9282325 9297704 9393931 9653618 9706000 10106200 10239830 10510448 10662041 11130250 11161900 11175125 11424400 11575460 11589175 11608376 11622130 12052742 12617800 12632750 13122512 13138060 13311779 13754000 13952375 14263600 14280500 14469325 14510470 14851720 15048098 15108769 15772250 16383728 16403140 16422575 17079478 17808400 17829500 17880200 18542680 18564650 18595408 18787862 18863611 19307236 20212400 20479660 20503925 21324082 22260500 22323800 22350250 23150920 23178350 23216752 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104978353166375 107320025316400 107447181744500 107752718754200 109177487293030 113679118285681 118671181840250 123418029113860 123564259006175 129204126974000 134150031645500 134531500929800 134690898442750 139516032911320 139912760966992 141930733480939 152079088007600 154272536392325 160443437848018 167965365066200 168164376162250 174395041139150 174683979668848 174890951208740 181370842784716 189873890944400 190098860009500 197702814409880 209956706332750 214894363489000 215505437508400 218354974586060 218613689010925 226713553480895 227358236571362 237342363680500 246836058227720 247128518012350 268300063291000 269063001859600 269381796885500 272943718232575 279032065822640 283861466961878 308545072784650 320886875696036 335930730132400 336328752324500 348790082278300 349781902417480 362741685569432 380197720019000 395405628819760 401108594620045 419913412665500 429788726978000 435987602847875 436709949172120 437227378021850 453427106961790 454716473142724 474684727361000 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2841977957142025 3085450727846500 3208868756960360 3487900822783000 3497819024174800 3548268337023475 3627416855694320 3690199070504414 4011085946200450 4171529384048468 4367099491721200 4372273780218500 4534271069617900 4547164731427240 4942570360247000 5214411730060585 5458874364651500 5667838837022375 5677229339237560 5683955914284050 6170901455693000 6417737513920720 6975801645566000 7096536674046950 7380398141008828 8022171892400900 8343058768096936 8744547560437000 9068542139235800 9094329462854480 9225497676261035 9885140720494000 10027714865501125 10428823460121170 10917748729303000 11335677674044750 11354458678475120 11367911828568100 12341802911386000 14193073348093900 14209889785710125 14760796282017656 16044343784801800 16686117536193872 17489095120874000 17741341685117375 18137084278471600 18450995352522070 20055429731002250 20857646920242340 21835497458606000 22671355348089500 22735823657136200 23986293958278691 26072058650302925 28386146696187800 28419779571420250 29521592564035312 32088687569603600 35482683370234750 36901990705044140 40110859462004500 41715293840484680 45342710696179000 45471647314272400 46127488381305175 47972587916557382 52144117300605850 56772293392375600 56839559142840500 70965366740469500 73803981410088280 80221718924009000 83430587680969360 90685421392358000 92254976762610350 95945175833114764 104288234601211700 113679118285681000 119931469791393455 130360293251514625 141930733480939000 147607962820176560 160443437848018000 184509953525220700 191890351666229528 208576469202423400 227358236571362000 230637441906525875 239862939582786910 260720586503029250 283861466961878000 369019907050441400 383780703332459056 417152938404846800 461274883813051750 479725879165573820 521441173006058500 599657348956967275 738039814100882800 922549767626103500 959451758331147640 1042882346012117000 1199314697913934550 1845099535252207000 1918903516662295280 2085764692024234000 2398629395827869100 2998286744784836375 3690199070504414000 4797258791655738200 5996573489569672750 9594517583311476400 11993146979139345500 23986293958278691000 47972587916557382000
- Sum of all divisors σ(n): 131990952497622962016
- Sum of proper divisors (its aliquot sum) s(n): 84018364581065580016
- 47972587916557382000 is an abundant number, because the sum of its proper divisors (84018364581065580016) is greater than itself. Its abundance is 36045776664508198016
Bases of 47972587916557382000
- Binary: 1010011001110000001101111010001010010110101001100101110001011100002
- Hexadecimal: 0x299C0DE8A5A997170
- Base-36: A4H1B5ILVE7OW
Squares and roots of 47972587916557382000
- 47972587916557382000 squared (479725879165573820002) is 2301369191411827337051902498693924000000
- 47972587916557382000 cubed (479725879165573820003) is 110402635863460460851582064018435007783549400746968000000000
-
The
square root of 47972587916557382000 is 6926224651.0315691609 -
The
cube root of 47972587916557382000 is 3633549.2336303433
Scales and comparisons
How big is 47972587916557382000?- 47,972,587,916,557,382,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 47,972,587,916,557,382,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 47972587916557382000 cubic inches would be around 302795.8 feet tall.
Recreational maths with 47972587916557382000
- 47972587916557382000 backwards is 00028375561978527974
- The number of decimal digits it has is: 20
- The sum of 47972587916557382000's digits is 95
- More coming soon!
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The information we have on file for 47972587916557382000 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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