40428212447288064
40,428,212,447,288,064 is an even composite number composed of seven prime numbers multiplied together.
40428212447288064 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 40428212447288064:
28 × 3 × 72 × 79 × 109 × 4283 × 29129
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 79 × 109 × 4283 × 29129)See below for interesting mathematical facts about the number 40428212447288064 from the Numbermatics database.
Names of 40428212447288064
- Cardinal: 40428212447288064 can be written as Forty quadrillion, four hundred twenty-eight trillion, two hundred twelve billion, four hundred forty-seven million, two hundred eighty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 4.0428212447288064 × 1016
Factors of 40428212447288064
Divisors of 40428212447288064
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 79 84 96 98 109 112 128 147 158 168 192 196 218 224 237 256 294 316 327 336 384 392 436 448 474 553 588 632 654 672 763 768 784 872 896 948 1106 1176 1264 1308 1344 1526 1568 1659 1744 1792 1896 2212 2289 2352 2528 2616 2688 3052 3136 3318 3488 3792 3871 4283 4424 4578 4704 5056 5232 5341 5376 6104 6272 6636 6976 7584 7742 8566 8611 8848 9156 9408 10112 10464 10682 11613 12208 12544 12849 13272 13952 15168 15484 16023 17132 17222 17696 18312 18816 20224 20928 21364 23226 24416 25698 25833 26544 27904 29129 29981 30336 30968 32046 34264 34444 35392 36624 37632 41856 42728 46452 48832 51396 51666 53088 58258 59962 60277 60672 61936 64092 68528 68888 70784 73248 83712 85456 87387 89943 92904 97664 102792 103332 106176 116516 119924 120554 123872 128184 137056 137776 141568 146496 170912 174774 179886 180831 185808 195328 203903 205584 206664 209867 212352 233032 239848 241108 247744 256368 274112 275552 292992 338357 341824 349548 359772 361662 371616 407806 411168 413328 419734 421939 424704 466064 466847 479696 482216 495488 512736 548224 551104 585984 611709 629601 676714 683648 699096 719544 723324 743232 815612 822336 826656 839468 843878 932128 933694 959392 964432 990976 1015071 1025472 1096448 1102208 1223418 1259202 1265817 1353428 1367296 1398192 1400541 1427321 1439088 1446648 1486464 1631224 1644672 1653312 1678936 1687756 1864256 1867388 1918784 1928864 2030142 2050944 2204416 2301191 2368499 2446836 2518404 2531634 2706856 2796384 2801082 2854642 2878176 2893296 2972928 3175061 3262448 3267929 3289344 3306624 3357872 3375512 3728512 3734776 3837568 3857728 4060284 4101888 4281963 4602382 4736998 4893672 5036808 5063268 5413712 5592768 5602164 5709284 5756352 5786592 6350122 6524896 6535858 6613248 6715744 6751024 6903573 7105497 7457024 7469552 7675136 7715456 8120568 8563926 9204764 9473996 9525183 9787344 9803787 10073616 10126536 10827424 11185536 11204328 11418568 11512704 11573184 12700244 13049792 13071716 13431488 13502048 13807146 14210994 14939104 15430912 16108337 16241136 16579493 17127852 18409528 18947992 19050366 19574688 19607574 20147232 20253072 21654848 22225427 22371072 22408656 22837136 22875503 23025408 23146368 25400488 26099584 26143432 26862976 27004096 27614292 28421988 29878208 32216674 32482272 33158986 34255704 36819056 36880913 37895984 38100732 39149376 39215148 40294464 40506144 43309696 44450854 44817312 45674272 45751006 46292736 48325011 49738479 50800976 52199168 52286864 53725952 54008192 55228584 56843976 59756416 64433348 64964544 66317972 66676281 68511408 68626509 73638112 73761826 75791968 76201464 78298752 78430296 80588928 81012288 86619392 88901708 89634624 91348544 91502012 96650022 99476958 101601952 104573728 108016384 110457168 110642739 112758359 113687952 119512832 124759507 128866696 129929088 132635944 133352562 137022816 137253018 147276224 147523652 151583936 152402928 155577989 156597504 156860592 161177856 162024576 177803416 179269248 182697088 183004024 193300044 198953916 203203904 209147456 220914336 221285478 225516718 227375904 249519014 250829819 257733392 258166391 259858176 265271888 266705124 274045632 274506036 294552448 295047304 303167872 304805856 311155978 313721184 324049152 338275077 355606832 358538496 365394176 366008048 374278521 386600088 397907832 406407808 418294912 441828672 442570956 451033436 454751808 466733967 499038028 501659638 515466784 516332782 530543776 533410248 548091264 549012072 589104896 590094608 606335744 609611712 622311956 627442368 676550154 711213664 732016096 748557042 752489457 773200176 774499173 795815664 812815616 836589824 873316549 883657344 885141912 902066872 909503616 933467934 998076056 1003319276 1030933568 1032665564 1061087552 1066820496 1096182528 1098024144 1180189216 1219223424 1244623912 1254884736 1353100308 1422427328 1464032192 1497114084 1504978914 1546400352 1548998346 1591631328 1746633098 1755808733 1767314688 1770283824 1804133744 1807164737 1819007232 1866935868 1996152112 2006638552 2061867136 2065331128 2122175104 2133640992 2196048288 2360378432 2438446848 2489247824 2509769472 2619949647 2706200616 2844854656 2928064384 2994228168 3009957828 3092800704 3097996692 3183262656 3493266196 3511617466 3540567648 3608267488 3614329474 3733871736 3992304224 4013277104 4123734272 4130662256 4244350208 4267281984 4392096576 4720756864 4978495648 5239899294 5267426199 5412401232 5421494211 5689709312 5856128768 5988456336 6019915656 6113215843 6185601408 6195993384 6366525312 6986532392 7023234932 7081135296 7216534976 7228658948 7467743472 7984608448 8026554208 8261324512 8534563968 8784193152 9441513728 9856001053 9956991296 10479798588 10534852398 10824802464 10842988422 11976912672 12039831312 12226431686 12290661131 12371202816 12391986768 12733050624 13598786263 13973064784 14046469864 14162270592 14433069952 14457317896 14935486944 15969216896 16053108416 16522649024 17069127936 17568386304 18339647529 19712002106 19913982592 20959597176 21069704796 21649604928 21685976844 23953825344 24079662624 24452863372 24581322262 24783973536 27197572526 27946129568 28092939728 28324541184 28866139904 28914635792 29568003159 29870973888 31938433792 32106216832 33045298048 36679295058 36871983393 39424004212 39827965184 40796358789 41919194352 42139409592 43299209856 43371953688 47907650688 48159325248 48905726744 49162644524 49567947072 54395145052 55892259136 56185879456 57829271584 59136006318 59741947776 64212433664 66090596096 68992007371 73358590116 73743966786 78848008424 81592717578 83838388704 84278819184 86598419712 86743907376 95191503841 95815301376 96318650496 97811453488 98325289048 99135894144 108790290104 111784518272 112371758912 115658543168 118272012636 119483895552 137984014742 146717180232 147487933572 157696016848 163185435156 167676777408 168557638368 173487814752 190383007682 192637300992 195622906976 196650578096 198271788288 206976022113 217580580208 223569036544 224743517824 231317086336 236544025272 275968029484 285574511523 293434360464 294975867144 315392033696 326370870312 335353554816 337115276736 346975629504 380766015364 391245813952 393301156192 413952044226 435161160416 449487035648 462634172672 473088050544 482944051597 551936058968 571149023046 586868720928 589951734288 630784067392 652741740624 666340526887 670707109632 674230553472 693951259008 761532030728 782491627904 786602312384 827904088452 870322320832 946176101088 965888103194 1074304114777 1103872117936 1142298046092 1173737441856 1179903468576 1261568134784 1305483481248 1332681053774 1348461106944 1387902518016 1448832154791 1523064061456 1564983255808 1573204624768 1655808176904 1740644641664 1892352202176 1931776206388 1999021580661 2148608229554 2207744235872 2284596092184 2347474883712 2359806937152 2523136269568 2610966962496 2665362107548 2897664309582 3046128122912 3146409249536 3222912344331 3311616353808 3481289283328 3784704404352 3863552412776 3998043161322 4297216459108 4415488471744 4569192184368 4694949767424 4719613874304 5221933924992 5330724215096 5795328619164 6092256245824 6445824688662 6623232707616 7520128803439 7569408808704 7727104825552 7996086322644 8594432918216 8830976943488 9138384368736 9439227748608 10443867849984 10661448430192 11590657238328 12184512491648 12891649377324 13246465415232 15040257606878 15454209651104 15992172645288 17188865836432 17661953886976 18276768737472 21322896860384 22560386410317 23181314476656 24369024983296 25783298754648 26492930830464 30080515213756 30908419302208 31984345290576 34377731672864 36553537474944 42645793720768 45120772820634 46362628953312 51566597509296 52640901624073 52985861660928 60161030427512 61816838604416 63968690581152 68755463345728 73107074949888 85291587441536 90241545641268 92725257906624 103133195018592 105281803248146 120322060855024 123633677208832 127937381162304 137510926691456 157922704872219 170583174883072 180483091282536 185450515813248 206266390037184 210563606496292 240644121710048 255874762324608 275021853382912 315845409744438 360966182565072 370901031626496 412532780074368 421127212992584 481288243420096 511749524649216 631690819488876 721932365130144 825065560148736 842254425985168 962576486840192 1263381638977752 1443864730260288 1684508851970336 1925152973680384 2526763277955504 2887729460520576 3369017703940672 5053526555911008 5775458921041152 6738035407881344 10107053111822016 13476070815762688 20214106223644032 40428212447288064
- Sum of all divisors σ(n): 127946487005568000
- Sum of proper divisors (its aliquot sum) s(n): 87518274558279936
- 40428212447288064 is an abundant number, because the sum of its proper divisors (87518274558279936) is greater than itself. Its abundance is 47090062110991872
Bases of 40428212447288064
- Binary: 100011111010000100111110101110011101001100011011000000002
- Hexadecimal: 0x8FA13EB9D31B00
- Base-36: B22LSEHLP1C
Squares and roots of 40428212447288064
- 40428212447288064 squared (404282124472880642) is 1634440361683057552989748196868096
- 40428212447288064 cubed (404282124472880643) is 66077502174544992661145368406963003948973523206144
-
The
square root of 40428212447288064 is 201067681.2600375717 -
The
cube root of 40428212447288064 is 343211.2484814669
Scales and comparisons
How big is 40428212447288064?- 40,428,212,447,288,064 seconds is equal to 1,285,492,103 years, 7 weeks, 6 days, 7 hours, 34 minutes, 24 seconds.
-
To count from 1 to 40,428,212,447,288,064 would take you about three billion, eight hundred fifty-six million, four hundred seventy-six thousand, three hundred 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 40428212447288064 cubic inches would be around 28600.9 feet tall.
Recreational maths with 40428212447288064
- 40428212447288064 backwards is 46088274421282404
- The number of decimal digits it has is: 17
- The sum of 40428212447288064's digits is 66
- More coming soon!
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The information we have on file for 40428212447288064 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 40428212447288064, math, Factors of 40428212447288064, curriculum, school, college, exams, university, Prime factorization of 40428212447288064, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, four hundred twenty-eight trillion, two hundred twelve billion, four hundred forty-seven million, two hundred eighty-eight thousand and sixty-four.