47946123425748132
47,946,123,425,748,132 is an even composite number composed of eight prime numbers multiplied together.
47946123425748132 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 47946123425748132:
22 × 32 × 13 × 17 × 257 × 353 × 2633 × 25229
(2 × 2 × 3 × 3 × 13 × 17 × 257 × 353 × 2633 × 25229)See below for interesting mathematical facts about the number 47946123425748132 from the Numbermatics database.
Names of 47946123425748132
- Cardinal: 47946123425748132 can be written as Forty-seven quadrillion, nine hundred forty-six trillion, one hundred twenty-three billion, four hundred twenty-five million, seven hundred forty-eight thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 4.7946123425748132 × 1016
Factors of 47946123425748132
Divisors of 47946123425748132
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 257 306 353 442 468 514 612 663 706 771 884 1028 1059 1326 1412 1542 1989 2118 2313 2633 2652 3084 3177 3341 3978 4236 4369 4589 4626 5266 6001 6354 6682 7899 7956 8738 9178 9252 10023 10532 12002 12708 13107 13364 13767 15798 17476 18003 18356 20046 23697 24004 25229 26214 27534 30069 31596 34229 36006 39321 40092 41301 44761 47394 50458 52428 54009 55068 56797 60138 68458 72012 75687 78013 78642 82602 89522 90721 94788 100916 102687 108018 113594 120276 134283 136916 151374 156026 157284 165204 170391 179044 181442 205374 216036 227061 227188 234039 268566 272163 302748 308061 312052 327977 340782 362884 402849 410748 428893 454122 468078 511173 537132 544326 581893 616122 655954 676681 681564 702117 805698 816489 857786 908244 929449 936156 983931 1022346 1088652 1163786 1179373 1232244 1286679 1311908 1353362 1404234 1542257 1611396 1632978 1715572 1745679 1858898 1967862 2030043 2044692 2327572 2358746 2573358 2706724 2788347 2808468 2951793 3084514 3265956 3491358 3538119 3717796 3860037 3935724 4060086 4626771 4717492 5146716 5237037 5575609 5576694 5903586 6090129 6169028 6483853 6982716 7076238 7720074 8120172 8365041 8796853 8905837 9253542 10474074 10614357 11151218 11153388 11503577 11807172 12082837 12180258 12967706 13880313 14152476 15440148 15800633 16726827 16730082 17593706 17811674 18507084 19451559 20049341 20948148 21228714 22302436 23007154 24165674 24360516 25935412 26390559 26717511 27760626 31601266 33453654 33460164 34510731 35187412 35623348 36248511 38903118 40098682 42457428 46014308 47401899 48331348 50180481 52781118 53435022 55521252 58354677 60148023 63202532 66427957 66907308 69021462 72497022 77806236 79171677 80152533 80197364 84290089 94803798 100360962 103532193 105562236 106870044 108745533 110225501 115775881 116709354 120296046 132855914 138042924 142205697 144994044 149546501 151399229 158343354 160305066 168580178 180444069 189607596 199283871 200721924 205408229 207064386 217491066 220451002 231551762 233418708 238868393 240592092 252870267 265711828 284411394 299093002 302798458 316686708 320610132 330676503 337160356 347327643 360888138 398567742 410816458 414128772 434982132 440902004 448639503 454197687 463103524 477736786 505740534 568822788 597851613 598186004 605596916 616224687 661353006 694655286 716605179 721776276 758610801 797135484 821632916 863563441 897279006 908395374 955473572 992029509 1011481068 1041982929 1129275269 1195703226 1232449374 1322706012 1345918509 1362593061 1389310572 1432931513 1433210358 1517221602 1727126882 1794558012 1816790748 1848674061 1968189977 1984059018 2083965858 2149815537 2258550538 2288800109 2391406452 2464898748 2590690323 2691837018 2725186122 2865863026 2866420716 3034443204 3105289109 3387825807 3454253764 3697348122 3936379954 3968118036 4060762681 4167931716 4298794539 4299631074 4517101076 4577600218 5181380646 5383674036 5450372244 5731726052 5904569931 6210578218 6775651614 6866400327 7394696244 7772070969 7872759908 8121525362 8597589078 8599262148 9155200436 9315867327 10163477421 10362761292 11809139862 12182288043 12421156436 12896383617 13551303228 13732800654 14680578497 15544141938 16243050724 17071984949 17195178156 17713709793 18631734654 20326954842 20599200981 23449068821 23618279724 24364576086 25792767234 27465601308 27947601981 29361156994 29754401417 31088283876 34143969898 35427419586 36546864129 37263469308 38909601853 40653909684 41198401962 44041735491 46898137642 48729152172 51215954847 51585534468 52789914853 55895203962 58722313988 59508802834 68287939796 70347206463 70854839172 73093728258 77819203706 82396803924 88083470982 89263204251 93796275284 102431909694 105579829706 111790407924 116728805559 119017605668 132125206473 140694412926 146187456516 153647864541 155638407412 158369744559 176166941964 178526408502 204863819388 211041619389 211159659412 221935804337 233457611118 264250412946 267789612753 281388825852 290223744133 304837894673 307295729082 316739489118 350186416677 357052817004 398634169957 422083238778 443871608674 466915222236 475109233677 505824824089 528500825892 535579225506 580447488266 609675789346 614591458164 633478978236 665807413011 700372833354 797268339914 844166477556 870671232399 887743217348 914513684019 950218467354 1011649648178 1071158451012 1160894976532 1195902509871 1219351578692 1331614826022 1400745666708 1517474472267 1594536679828 1741342464798 1829027368038 1900436934708 1997422239033 2023299296356 2391805019742 2612013697197 2663229652044 2743541052057 3034948944534 3482684929596 3587707529613 3658054736076 3772908673729 3994844478066 4552423416801 4783610039484 5182244209441 5224027394394 5487082104114 6026410686997 6069897889068 7175415059226 7545817347458 7989688956132 9104846833602 10364488418882 10448054788788 10974164208228 11318726021187 12052821373994 14350830118452 15091634694916 15546732628323 18079232060991 18209693667204 20728976837764 22637452042374 24105642747988 31093465256646 33956178063561 36158464121982 45274904084748 46640197884969 54237696182973 62186930513292 67912356127122 72316928243964 78343338930961 93280395769938 102448981678949 108475392365946 135824712254244 156686677861922 186560791539876 204897963357898 216950784731892 235030016792883 307346945036847 313373355723844 409795926715796 470060033585766 614693890073694 705090050378649 922040835110541 940120067171532 1229387780147388 1331836761826337 1410180100757298 1844081670221082 2663673523652674 2820360201514596 3688163340442164 3995510285479011 5327347047305348 7991020570958022 11986530856437033 15982041141916044 23973061712874066 47946123425748132
- Sum of all divisors σ(n): 139186758980767680
- Sum of proper divisors (its aliquot sum) s(n): 91240635555019548
- 47946123425748132 is an abundant number, because the sum of its proper divisors (91240635555019548) is greater than itself. Its abundance is 43294512129271416
Bases of 47946123425748132
- Binary: 101010100101011010111110110001110010011000010100101001002
- Hexadecimal: 0xAA56BEC72614A4
- Base-36: D43HD0ZGV50
Squares and roots of 47946123425748132
- 47946123425748132 squared (479461234257481322) is 2298830751557073789045943901489424
- 47946123425748132 cubed (479461234257481323) is 110220022949060799669253136024384484539066285755968
-
The
square root of 47946123425748132 is 218966032.5843899743 -
The
cube root of 47946123425748132 is 363288.0951163215
Scales and comparisons
How big is 47946123425748132?- 47,946,123,425,748,132 seconds is equal to 1,524,538,417 years, 43 weeks, 5 days, 7 hours, 22 minutes, 12 seconds.
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To count from 1 to 47,946,123,425,748,132 would take you about four billion, five hundred seventy-three million, six hundred fifteen thousand, two hundred fifty-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 47946123425748132 cubic inches would be around 30274 feet tall.
Recreational maths with 47946123425748132
- 47946123425748132 backwards is 23184752432164974
- The number of decimal digits it has is: 17
- The sum of 47946123425748132's digits is 72
- More coming soon!
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