47968168380111360000
47,968,168,380,111,360,000 is an even composite number composed of four prime numbers multiplied together.
47968168380111360000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred sixty-five divisors.
Prime factorization of 47968168380111360000:
212 × 32 × 54 × 1136
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 113 × 113 × 113 × 113 × 113 × 113)See below for interesting mathematical facts about the number 47968168380111360000 from the Numbermatics database.
Names of 47968168380111360000
- Cardinal: 47968168380111360000 can be written as Forty-seven quintillion, nine hundred sixty-eight quadrillion, one hundred sixty-eight trillion, three hundred eighty billion, one hundred eleven million, three hundred sixty thousand.
Scientific notation
- Scientific notation: 4.796816838011136 × 1019
Factors of 47968168380111360000
Divisors of 47968168380111360000
- Number of divisors d(n): 1365
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 113 120 125 128 144 150 160 180 192 200 225 226 240 250 256 288 300 320 339 360 375 384 400 450 452 480 500 512 565 576 600 625 640 678 720 750 768 800 900 904 960 1000 1017 1024 1125 1130 1152 1200 1250 1280 1356 1440 1500 1536 1600 1695 1800 1808 1875 1920 2000 2034 2048 2250 2260 2304 2400 2500 2560 2712 2825 2880 3000 3072 3200 3390 3600 3616 3750 3840 4000 4068 4096 4500 4520 4608 4800 5000 5085 5120 5424 5625 5650 5760 6000 6144 6400 6780 7200 7232 7500 7680 8000 8136 8475 9000 9040 9216 9600 10000 10170 10240 10848 11250 11300 11520 12000 12288 12769 12800 13560 14125 14400 14464 15000 15360 16000 16272 16950 18000 18080 18432 19200 20000 20340 20480 21696 22500 22600 23040 24000 25425 25538 25600 27120 28250 28800 28928 30000 30720 32000 32544 33900 36000 36160 36864 38307 38400 40000 40680 42375 43392 45000 45200 46080 48000 50850 51076 51200 54240 56500 57600 57856 60000 61440 63845 64000 65088 67800 70625 72000 72320 76614 76800 80000 81360 84750 86784 90000 90400 92160 96000 101700 102152 102400 108480 113000 114921 115200 115712 120000 127125 127690 128000 130176 135600 141250 144000 144640 153228 153600 160000 162720 169500 173568 180000 180800 184320 191535 192000 203400 204304 211875 216960 226000 229842 230400 231424 240000 254250 255380 256000 260352 271200 282500 288000 289280 306456 307200 319225 320000 325440 339000 347136 360000 361600 383070 384000 406800 408608 423750 433920 452000 459684 460800 462848 480000 508500 510760 512000 520704 542400 565000 574605 576000 578560 612912 635625 638450 640000 650880 678000 694272 720000 723200 766140 768000 813600 817216 847500 867840 904000 919368 921600 957675 960000 1017000 1021520 1041408 1084800 1130000 1149210 1152000 1157120 1225824 1271250 1276900 1280000 1301760 1356000 1388544 1440000 1442897 1446400 1532280 1536000 1596125 1627200 1634432 1695000 1735680 1808000 1838736 1915350 1920000 2034000 2043040 2082816 2169600 2260000 2298420 2304000 2314240 2451648 2542500 2553800 2560000 2603520 2712000 2873025 2880000 2885794 2892800 3064560 3192250 3254400 3268864 3390000 3471360 3616000 3677472 3830700 3840000 4068000 4086080 4165632 4328691 4339200 4520000 4596840 4608000 4788375 4903296 5085000 5107600 5207040 5424000 5746050 5760000 5771588 5785600 6129120 6384500 6508800 6537728 6780000 6942720 7214485 7232000 7354944 7661400 7680000 7980625 8136000 8172160 8657382 8678400 9040000 9193680 9576750 9806592 10170000 10215200 10414080 10848000 11492100 11520000 11543176 11571200 12258240 12769000 12986073 13017600 13075456 13560000 14365125 14428970 14464000 14709888 15322800 15961250 16272000 16344320 17314764 17356800 18080000 18387360 19153500 19613184 20340000 20430400 20828160 21643455 21696000 22984200 23040000 23086352 23941875 24516480 25538000 25972146 26035200 26150912 27120000 28730250 28857940 28928000 29419776 30645600 31922500 32544000 32688640 34629528 34713600 36072425 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1040975876304500 1061242663276800 1065959297335808 1105461107580000 1131992174161920 1179158514752000 1199204209502784 1249171051565400 1252203732480000 1301219845380625 1326553329096000 1332449121669760 1414990217702400 1473948143440000 1499005261878480 1561463814456750 1598938946003712 1658191661370000 1665561402087200 1697988261242880 1768737772128000 1873756577348100 1878305598720000 1886653623603200 1998673682504640 2081951752609000 2122485326553600 2131918594671616 2210922215160000 2342195721685125 2358317029504000 2398408419005568 2498342103130800 2602439690761250 2653106658192000 2664898243339520 2829980435404800 2947896286880000 2998010523756960 3122927628913500 3197877892007424 3316383322740000 3331122804174400 3395976522485760 3537475544256000 3747513154696200 3756611197440000 3903659536141875 3997347365009280 4163903505218000 4244970653107200 4263837189343232 4421844430320000 4684391443370250 4716634059008000 4796816838011136 4996684206261600 5204879381522500 5306213316384000 5329796486679040 5659960870809600 5895792573760000 5996021047513920 6245855257827000 6395755784014848 6632766645480000 6662245608348800 7074951088512000 7495026309392400 7807319072283750 7994694730018560 8327807010436000 8489941306214400 8527674378686464 8843688860640000 9368782886740500 9433268118016000 9593633676022272 9993368412523200 10409758763045000 10612426632768000 10659592973358080 11710978608425625 11791585147520000 11992042095027840 12491710515654000 12791511568029696 13265533290960000 13324491216697600 14149902177024000 14990052618784800 15614638144567500 15989389460037120 16655614020872000 16979882612428800 17687377721280000 18737565773481000 19187267352044544 19986736825046400 20819517526090000 21224853265536000 21319185946716160 23421957216851250 23583170295040000 23984084190055680 24983421031308000 25583023136059392 26531066581920000 26648982433395200 28299804354048000 29980105237569600 31229276289135000 31978778920074240 33311228041744000 35374755442560000 37475131546962000 38374534704089088 39973473650092800 41639035052180000 42449706531072000 42638371893432320 46843914433702500 47166340590080000 47968168380111360 49966842062616000 53062133163840000 53297964866790400 59960210475139200 62458552578270000 63957557840148480 66622456083488000 70749510885120000 74950263093924000 76749069408178176 79946947300185600 83278070104360000 84899413062144000 93687828867405000 95936336760222720 99933684125232000 106124266327680000 106595929733580800 119920420950278400 124917105156540000 127915115680296960 133244912166976000 141499021770240000 149900526187848000 159893894600371200 166556140208720000 187375657734810000 191872673520445440 199867368250464000 212248532655360000 213191859467161600 239840841900556800 249834210313080000 266489824333952000 299801052375696000 319787789200742400 333112280417440000 374751315469620000 383745347040890880 399734736500928000 424497065310720000 479681683801113600 499668420626160000 532979648667904000 599602104751392000 639575578401484800 666224560834880000 749502630939240000 799469473001856000 959363367602227200 999336841252320000 1065959297335808000 1199204209502784000 1332449121669760000 1499005261878480000 1598938946003712000 1918726735204454400 1998673682504640000 2398408419005568000 2664898243339520000 2998010523756960000 3197877892007424000 3997347365009280000 4796816838011136000 5329796486679040000 5996021047513920000 7994694730018560000 9593633676022272000 11992042095027840000 15989389460037120000 23984084190055680000 47968168380111360000
- Sum of all divisors σ(n): 174687726965653991089
- Sum of proper divisors (its aliquot sum) s(n): 126719558585542631089
- 47968168380111360000 is an abundant number, because the sum of its proper divisors (126719558585542631089) is greater than itself. Its abundance is 78751390205431271089
Bases of 47968168380111360000
- Binary: 1010011001101100010010101011111110110101101010100110010000000000002
- Hexadecimal: 0x299B12AFED6A99000
- Base-36: A4FTSK3LCHDS0
Squares and roots of 47968168380111360000
- 47968168380111360000 squared (479681683801113600002) is 2300945177742715294861606001049600000000
- 47968168380111360000 cubed (479681683801113600003) is 110372125719367828837316294230801457975924883456000000000000
-
47968168380111360000 is a
perfect square number . Itssquare root is 6925905600 -
The
cube root of 47968168380111360000 is 3633437.6484026889 - Being both a perfect square and a perfect cube, 47968168380111360000 is also a
perfect sixth number .
Scales and comparisons
How big is 47968168380111360000?- 47,968,168,380,111,360,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 47,968,168,380,111,360,000 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 47968168380111360000 cubic inches would be around 302786.5 feet tall.
Recreational maths with 47968168380111360000
- 47968168380111360000 backwards is 00006311108386186974
- 47968168380111360000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 47968168380111360000's digits is 72
- More coming soon!
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"Number 47968168380111360000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 47968168380111360000 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/47968168380111360000/
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The information we have on file for 47968168380111360000 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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