3997936287865338624
3,997,936,287,865,338,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 3997936287865338624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
3997936287865338624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 3997936287865338624:
28 × 39 × 13 × 31 × 1968790771
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 31 × 1968790771)See below for interesting mathematical facts about the number 3997936287865338624 from the Numbermatics database.
Names of 3997936287865338624
- Cardinal: 3997936287865338624 can be written as Three quintillion, nine hundred ninety-seven quadrillion, nine hundred thirty-six trillion, two hundred eighty-seven billion, eight hundred sixty-five million, three hundred thirty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 3.997936287865338624 × 1018
Factors of 3997936287865338624
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 1968790820
Divisors of 3997936287865338624
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 81 93 96 104 108 117 124 128 144 156 162 186 192 208 216 234 243 248 256 279 288 312 324 351 372 384 403 416 432 468 486 496 558 576 624 648 702 729 744 768 806 832 837 864 936 972 992 1053 1116 1152 1209 1248 1296 1404 1458 1488 1612 1664 1674 1728 1872 1944 1984 2106 2187 2232 2304 2418 2496 2511 2592 2808 2916 2976 3159 3224 3328 3348 3456 3627 3744 3888 3968 4212 4374 4464 4836 4992 5022 5184 5616 5832 5952 6318 6448 6561 6696 6912 7254 7488 7533 7776 7936 8424 8748 8928 9477 9672 9984 10044 10368 10881 11232 11664 11904 12636 12896 13122 13392 14508 14976 15066 15552 16848 17496 17856 18954 19344 19683 20088 20736 21762 22464 22599 23328 23808 25272 25792 26244 26784 28431 29016 29952 30132 31104 32643 33696 34992 35712 37908 38688 39366 40176 43524 44928 45198 46656 50544 51584 52488 53568 56862 58032 60264 62208 65286 67392 67797 69984 71424 75816 77376 78732 80352 85293 87048 89856 90396 93312 97929 101088 103168 104976 107136 113724 116064 120528 130572 134784 135594 139968 151632 154752 157464 160704 170586 174096 180792 186624 195858 202176 203391 209952 214272 227448 232128 241056 255879 261144 269568 271188 279936 293787 303264 309504 314928 321408 341172 348192 361584 391716 404352 406782 419904 454896 464256 482112 511758 522288 542376 559872 587574 606528 610173 629856 642816 682344 696384 723168 783432 808704 813564 839808 881361 909792 928512 964224 1023516 1044576 1084752 1175148 1213056 1220346 1259712 1364688 1392768 1446336 1566864 1627128 1679616 1762722 1819584 1928448 2047032 2089152 2169504 2350296 2426112 2440692 2519424 2644083 2729376 2785536 2892672 3133728 3254256 3525444 3639168 4094064 4178304 4339008 4700592 4881384 5038848 5288166 5458752 5785344 6267456 6508512 7050888 7278336 7932249 8188128 8356608 8678016 9401184 9762768 10576332 10917504 12534912 13017024 14101776 15864498 16376256 17356032 18802368 19525536 21152664 21835008 25069824 26034048 28203552 31728996 32752512 37604736 39051072 42305328 52068096 56407104 63457992 65505024 75209472 78102144 84610656 112814208 126915984 156204288 169221312 225628416 253831968 338442624 507663936 676885248 1015327872 1968790771 2030655744 3937581542 5906372313 7875163084 11812744626 15750326168 17719116939 23625489252 25594280023 31500652336 35438233878 47250978504 51188560046 53157350817 61032513901 63001304672 70876467756 76782840069 94501957008 102377120092 106314701634 122065027802 126002609344 141752935512 153565680138 159472052451 183097541703 189003914016 204754240184 212629403268 230348520207 244130055604 252005218688 283505871024 307131360276 318944104902 366195083406 378007828032 409508480368 425258806536 460697040414 478416157353 488260111208 504010437376 549292625109 567011742048 614262720552 637888209804 691045560621 732390166812 756015656064 793422680713 819016960736 850517613072 921394080828 956832314706 976520222416 1098585250218 1134023484096 1228525441104 1275776419608 1382091121242 1435248472059 1464780333624 1512031312128 1586845361426 1638033921472 1647877875327 1701035226144 1842788161656 1913664629412 1953040444832 2073136681863 2197170500436 2268046968192 2380268042139 2457050882208 2551552839216 2764182242484 2870496944118 2929560667248 3173690722852 3276067842944 3295755750654 3402070452288 3685576323312 3827329258824 3906080889664 4146273363726 4305745416177 4394341000872 4536093936384 4760536084278 4914101764416 4943633625981 5103105678432 5528364484968 5740993888236 5859121334496 6219410045589 6347381445704 6552135685888 6591511501308 6804140904576 7140804126417 7371152646624 7654658517648 7812161779328 8292546727452 8611490832354 8788682001744 9521072168556 9828203528832 9887267251962 10206211356864 11056728969936 11481987776472 11718242668992 12438820091178 12694762891408 12917236248531 13183023002616 13608281809152 14281608252834 14742305293248 14830900877943 15309317035296 15624323558656 16585093454904 17222981664708 17577364003488 18658230136767 19042144337112 19656407057664 19774534503924 20412422713728 21422412379251 22113457939872 22963975552944 23436485337984 24877640182356 25389525782816 25834472497062 26366046005232 28563216505668 29484610586496 29661801755886 30618634070592 33170186909808 34445963329416 35154728006976 37316460273534 38084288674224 38751708745593 39549069007848 40824845427456 42844824758502 44226915879744 44492702633829 45927951105888 46872970675968 49755280364712 50779051565632 51668944994124 52732092010464 55974690410301 57126433011336 58969221172992 59323603511772 61237268141184 64267237137753 66340373819616 68891926658832 70309456013952 74632920547068 76168577348448 77503417491186 79098138015696 85689649517004 88453831759488 88985405267658 91855902211776 99510560729424 101558103131264 103337889988248 105464184020928 111949380820602 114252866022672 118647207023544 122474536282368 128534474275506 132680747639232 133478107901487 137783853317664 140618912027904 149265841094136 152337154696896 155006834982372 158196276031392 167924071230903 171379299034008 176907663518976 177970810535316 183711804423552 192801711413259 199021121458848 203116206262528 206675779976496 210928368041856 223898761641204 228505732045344 237294414047088 257068948551012 265361495278464 266956215802974 275567706635328 298531682188272 304674309393792 310013669964744 316392552062784 335848142461806 342758598068016 355941621070632 367423608847104 385603422826518 398042242917696 400434323704461 413351559952992 421856736083712 447797523282408 457011464090688 474588828094176 503772213692709 514137897102024 530722990556928 533912431605948 551135413270656 578405134239777 597063364376544 609348618787584 620027339929488 632785104125568 671696284923612 685517196136032 711883242141264 771206845653036 796084485835392 800868647408922 826703119905984 895595046564816 914022928181376 949177656188352 1007544427385418 1028275794204048 1067824863211896 1102270826541312 1156810268479554 1194126728753088 1201302971113383 1240054679858976 1265570208251136 1343392569847224 1371034392272064 1423766484282528 1542413691306072 1592168971670784 1601737294817844 1653406239811968 1735215402719331 1791190093129632 1828045856362752 1898355312376704 2015088854770836 2056551588408096 2135649726423792 2313620536959108 2388253457506176 2402605942226766 2480109359717952 2686785139694448 2742068784544128 2847532968565056 3084827382612144 3203474589635688 3306812479623936 3470430805438662 3582380186259264 3796710624753408 4030177709541672 4113103176816192 4271299452847584 4627241073918216 4776506915012352 4805211884453532 4960218719435904 5205646208157993 5373570279388896 5484137569088256 5695065937130112 6169654765224288 6406949179271376 6940861610877324 7164760372518528 8060355419083344 8226206353632384 8542598905695168 9254482147836432 9610423768907064 9920437438871808 10411292416315986 10747140558777792 11390131874260224 12339309530448576 12813898358542752 13881723221754648 14329520745037056 15616938624473979 16120710838166688 16452412707264768 17085197811390336 18508964295672864 19220847537814128 20822584832631972 21494281117555584 24678619060897152 25627796717085504 27763446443509296 31233877248947958 32241421676333376 34170395622780672 37017928591345728 38441695075628256 41645169665263944 42988562235111168 49357238121794304 51255593434171008 55526892887018592 62467754497895916 64482843352666752 74035857182691456 76883390151256512 83290339330527888 102511186868342016 111053785774037184 124935508995791832 128965686705333504 148071714365382912 153766780302513024 166580678661055776 222107571548074368 249871017991583664 307533560605026048 333161357322111552 444215143096148736 499742035983167328 666322714644223104 999484071966334656 1332645429288446208 1998968143932669312 3997936287865338624
- Sum of all divisors σ(n): 13306801420658729984
- Sum of proper divisors (its aliquot sum) s(n): 9308865132793391360
- 3997936287865338624 is an abundant number, because the sum of its proper divisors (9308865132793391360) is greater than itself. Its abundance is 5310928844928052736
Bases of 3997936287865338624
- Binary: 110111011110111000010111011111001100001101101101111011000000002
- Hexadecimal: 0x377B85DF30DB7B00
- Base-36: UDHA4VQ30000
Squares and roots of 3997936287865338624
- 3997936287865338624 squared (39979362878653386242) is 15983494561830483740613309110186213376
- 3997936287865338624 cubed (39979362878653386243) is 63900992915640391280207317848117837604530377178558234624
-
The
square root of 3997936287865338624 is 1999484005.4037288107 -
The
cube root of 3997936287865338624 is 1587128.0101050373
Scales and comparisons
How big is 3997936287865338624?- 3,997,936,287,865,338,624 seconds is equal to 127,122,007,525 years, 11 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 3,997,936,287,865,338,624 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 3997936287865338624 cubic inches would be around 132260.7 feet tall.
Recreational maths with 3997936287865338624
- 3997936287865338624 backwards is 4268335687826397993
- 3997936287865338624 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3997936287865338624's digits is 108
- More coming soon!
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The information we have on file for 3997936287865338624 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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