472993841649664000
472,993,841,649,664,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 472993841649664000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
472993841649664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 472993841649664000:
214 × 53 × 1672 × 1912 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 167 × 167 × 191 × 191 × 227)See below for interesting mathematical facts about the number 472993841649664000 from the Numbermatics database.
Names of 472993841649664000
- Cardinal: 472993841649664000 can be written as Four hundred seventy-two quadrillion, nine hundred ninety-three trillion, eight hundred forty-one billion, six hundred forty-nine million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.72993841649664 × 1017
Factors of 472993841649664000
Divisors of 472993841649664000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 167 191 200 227 250 256 320 334 382 400 454 500 512 640 668 764 800 835 908 955 1000 1024 1135 1280 1336 1528 1600 1670 1816 1910 2000 2048 2270 2560 2672 3056 3200 3340 3632 3820 4000 4096 4175 4540 4775 5120 5344 5675 6112 6400 6680 7264 7640 8000 8192 8350 9080 9550 10240 10688 11350 12224 12800 13360 14528 15280 16000 16384 16700 18160 19100 20480 20875 21376 22700 23875 24448 25600 26720 27889 28375 29056 30560 31897 32000 33400 36320 36481 37909 38200 40960 41750 42752 43357 45400 47750 48896 51200 53440 55778 56750 58112 61120 63794 64000 66800 72640 72962 75818 76400 81920 83500 85504 86714 90800 95500 97792 102400 106880 111556 113500 116224 122240 127588 128000 133600 139445 145280 145924 151636 152800 159485 167000 171008 173428 181600 182405 189545 191000 195584 204800 213760 216785 223112 227000 232448 244480 255176 256000 267200 278890 290560 291848 303272 305600 318970 334000 342016 346856 363200 364810 379090 382000 391168 409600 427520 433570 446224 454000 464896 488960 510352 512000 534400 557780 581120 583696 606544 611200 637940 668000 684032 693712 697225 726400 729620 758180 764000 782336 797425 855040 867140 892448 908000 912025 929792 947725 977920 1020704 1024000 1068800 1083925 1115560 1162240 1167392 1213088 1222400 1275880 1336000 1368064 1387424 1394450 1452800 1459240 1516360 1528000 1564672 1594850 1710080 1734280 1784896 1816000 1824050 1859584 1895450 1955840 2041408 2048000 2137600 2167850 2231120 2324480 2334784 2426176 2444800 2551760 2672000 2736128 2774848 2788900 2905600 2918480 3032720 3056000 3129344 3189700 3420160 3468560 3486125 3569792 3632000 3648100 3719168 3790900 3911680 3987125 4082816 4275200 4335700 4462240 4560125 4648960 4669568 4738625 4852352 4889600 5103520 5326799 5344000 5419625 5549696 5577800 5811200 5836960 6065440 6092327 6112000 6330803 6379400 6840320 6937120 6972250 7139584 7240619 7264000 7296200 7581800 7823360 7974250 8165632 8281187 8550400 8671400 8924480 9120250 9297920 9339136 9477250 9704704 9779200 10207040 10653598 10688000 10839250 11099392 11155600 11622400 11673920 12130880 12184654 12224000 12661606 12758800 13680640 13874240 13944500 14279168 14481238 14528000 14592400 15163600 15646720 15948500 16331264 16562374 17100800 17342800 17848960 18240500 18595840 18678272 18954500 19409408 19558400 20414080 21307196 21376000 21678500 22198784 22311200 23244800 23347840 24261760 24369308 24448000 25323212 25517600 26633995 27748480 27889000 28558336 28962476 29056000 29184800 30327200 30461635 31654015 31897000 32662528 33124748 34201600 34685600 35697920 36203095 36481000 37356544 37909000 38818816 39116800 40828160 41405935 42614392 42752000 43357000 44397568 44622400 46489600 46695680 48523520 48738616 48896000 50646424 51035200 53267990 55496960 55778000 57116672 57924952 58112000 58369600 60654400 60923270 63308030 63794000 65325056 66249496 68403200 69371200 71395840 72406190 72962000 74713088 75818000 77637632 78233600 81656320 82811870 85228784 85504000 86714000 88795136 89244800 92979200 93391360 97047040 97477232 97792000 101292848 102070400 106535980 110993920 111556000 114233344 115849904 116224000 116739200 121308800 121846540 126616060 127588000 130650112 132498992 133169975 138742400 142791680 144812380 145924000 149426176 151636000 152308175 155275264 158270075 163312640 165623740 170457568 171008000 173428000 177590272 178489600 181015475 186782720 194094080 194954464 195584000 202585696 204140800 207029675 213071960 221987840 223112000 228466688 231699808 232448000 233478400 242617600 243693080 253232120 255176000 261300224 264997984 266339950 277484800 285583360 289624760 291848000 298852352 303272000 304616350 310550528 316540150 326625280 331247480 340915136 342016000 346856000 355180544 356979200 362030950 373565440 388188160 389908928 391168000 405171392 408281600 414059350 426143920 443975680 446224000 456933376 463399616 464896000 466956800 485235200 487386160 506464240 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81393488720 84799354880 85228784000 87274274816 88509326656 88795136000 92679923200 96734669840 97477232000 99816685568 101292848000 101741860900 103723876352 105999193600 109092843520 110636658320 115849904000 118630301696 120918337300 124770856960 127177326125 129654845440 130229581952 132498992000 135678967808 136366054400 138295822900 148287877120 151147921625 154775471744 155963571200 162068556800 162786977440 169598709760 170457568000 172869778625 177018653312 185359846400 193469339680 194954464000 202585696000 203483721800 211998387200 218185687040 221273316640 230954024243 231699808000 241836674600 249541713920 254354652250 259309690880 260459163904 264997984000 272732108800 276591645800 296575754240 302295843250 309550943488 311927142400 324137113600 325573954880 339197419520 340915136000 345739557250 354037306624 370719692800 386938679360 389908928000 405171392000 406967443600 423996774400 436371374080 442546633280 461908048486 463399616000 483673349200 499083427840 508709304500 518619381760 520918327808 529995968000 545464217600 553183291600 593151508480 604591686500 619101886976 623854284800 648274227200 651147909760 678394839040 681830272000 691479114500 708074613248 741439385600 773877358720 779817856000 810342784000 813934887200 847993548800 885093266560 923816096972 926799232000 967346698400 1017418609000 1041836655616 1059991936000 1090928435200 1106366583200 1154770121215 1209183373000 1238203773952 1247708569600 1296548454400 1302295819520 1363660544000 1382958229000 1416149226496 1482878771200 1547754717440 1559635712000 1620685568000 1627869774400 1695987097600 1770186533120 1847632193944 1853598464000 1934693396800 2034837218000 2083673311232 2119983872000 2181856870400 2212733166400 2309540242430 2418366746000 2476407547904 2495417139200 2593096908800 2604591639040 2727321088000 2765916458000 2832298452992 2965757542400 3095509434880 3119271424000 3241371136000 3255739548800 3391974195200 3540373066240 3695264387888 3707196928000 3869386793600 4069674436000 4167346622464 4239967744000 4425466332800 4619080484860 4836733492000 4952815095808 5209183278080 5454642176000 5531832916000 5664596905984 5773850606075 6191018869760 6238542848000 6482742272000 6511479097600 7080746132480 7390528775776 7414393856000 7738773587200 8139348872000 8334693244928 8479935488000 8850932665600 9238160969720 9673466984000 9905630191616 10418366556160 10909284352000 11063665832000 11329193811968 11547701212150 12382037739520 12477085696000 12965484544000 13022958195200 14161492264960 14781057551552 14828787712000 15477547174400 16278697744000 16669386489856 16959870976000 17701865331200 18476321939440 19346933968000 19811260383232 20836733112320 22127331664000 22658387623936 23095402424300 24764075479040 26045916390400 28322984529920 28869253030375 29562115103104 30955094348800 32557395488000 35403730662400 36952643878880 38693867936000 41673466224640 44254663328000 46190804848600 49528150958080 52091832780800 56645969059840 57738506060750 59124230206208 61910188697600 65114790976000 70807461324800 73905287757760 77387735872000 83346932449280 88509326656000 92381609697200 99056301916160 104183665561600 113291938119680 115477012121500 118248460412416 123820377395200 130229581952000 141614922649600 147810575515520 154775471744000 177018653312000 184763219394400 208367331123200 230954024243000 236496920824832 247640754790400 260459163904000 283229845299200 295621151031040 309550943488000 354037306624000 369526438788800 416734662246400 461908048486000 472993841649664 495281509580800 520918327808000 566459690598400 591242302062080 619101886976000 708074613248000 739052877577600 923816096972000 945987683299328 1041836655616000 1182484604124160 1238203773952000 1416149226496000 1478105755155200 1847632193944000 1891975366598656 2083673311232000 2364969208248320 2476407547904000 2832298452992000 2956211510310400 3695264387888000 3783950733197312 4729938416496640 5912423020620800 7390528775776000 9459876832993280 11824846041241600 14781057551552000 18919753665986560 23649692082483200 29562115103104000 47299384164966400 59124230206208000 94598768329932800 118248460412416000 236496920824832000 472993841649664000
- Sum of all divisors σ(n): 1199178399614556816
- Sum of proper divisors (its aliquot sum) s(n): 726184557964892816
- 472993841649664000 is an abundant number, because the sum of its proper divisors (726184557964892816) is greater than itself. Its abundance is 253190716315228816
Bases of 472993841649664000
- Binary: 110100100000110100101100100100110000111100111000000000000002
- Hexadecimal: 0x69069649879C000
- Base-36: 3LDABN4J4A9S
Squares and roots of 472993841649664000
- 472993841649664000 squared (4729938416496640002) is 223723174238507422860911312896000000
- 472993841649664000 cubed (4729938416496640003) is 105819683649128768314479337012542960717266944000000000
-
The
square root of 472993841649664000 is 687745477.3749253817 -
The
cube root of 472993841649664000 is 779145.3721038719
Scales and comparisons
How big is 472993841649664000?- 472,993,841,649,664,000 seconds is equal to 15,039,741,098 years, 23 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 472,993,841,649,664,000 would take you about forty-five billion, one hundred nineteen million, two hundred twenty-three thousand, two hundred ninety-five 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 472993841649664000 cubic inches would be around 64928.8 feet tall.
Recreational maths with 472993841649664000
- 472993841649664000 backwards is 000466946148399274
- The number of decimal digits it has is: 18
- The sum of 472993841649664000's digits is 82
- More coming soon!
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The information we have on file for 472993841649664000 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!
Keywords: Divisors of 472993841649664000, math, Factors of 472993841649664000, curriculum, school, college, exams, university, Prime factorization of 472993841649664000, STEM, science, technology, engineering, physics, economics, calculator, four hundred seventy-two quadrillion, nine hundred ninety-three trillion, eight hundred forty-one billion, six hundred forty-nine million, six hundred sixty-four thousand.