3968513737016328
3,968,513,737,016,328 is an even composite number composed of five prime numbers multiplied together.
What does the number 3968513737016328 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
3968513737016328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 3968513737016328:
23 × 39 × 412 × 593 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 41 × 41 × 59 × 59 × 59 × 73)See below for interesting mathematical facts about the number 3968513737016328 from the Numbermatics database.
Names of 3968513737016328
- Cardinal: 3968513737016328 can be written as Three quadrillion, nine hundred sixty-eight trillion, five hundred thirteen billion, seven hundred thirty-seven million, sixteen thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 3.968513737016328 × 1015
Factors of 3968513737016328
Divisors of 3968513737016328
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 36 41 54 59 72 73 81 82 108 118 123 146 162 164 177 216 219 236 243 246 292 324 328 354 369 438 472 486 492 531 584 648 657 708 729 738 876 972 984 1062 1107 1314 1416 1458 1476 1593 1681 1752 1944 1971 2124 2187 2214 2419 2628 2916 2952 2993 3186 3321 3362 3481 3942 4248 4307 4374 4428 4779 4838 5043 5256 5832 5913 5986 6372 6561 6642 6724 6962 7257 7884 8614 8748 8856 8979 9558 9676 9963 10086 10443 11826 11972 12744 12921 13122 13284 13448 13924 14337 14514 15129 15768 17228 17496 17739 17958 19116 19352 19683 19926 20172 20886 21771 23652 23944 25842 26244 26568 26937 27848 28674 29028 29889 30258 31329 34456 35478 35916 38232 38763 39366 39852 40344 41772 43011 43542 45387 47304 51684 52488 53217 53874 57348 58056 59778 60516 62658 65313 70956 71832 77526 78732 79704 80811 83544 86022 87084 89667 90774 93987 99179 103368 106434 107748 114696 116289 119556 121032 122713 125316 129033 130626 136161 141912 142721 155052 157464 159651 161622 172044 174168 176587 179334 181548 187974 195939 198358 205379 212868 215496 232578 239112 242433 245426 250632 254113 258066 261252 269001 272322 281961 285442 297537 310104 319302 323244 344088 348867 353174 358668 363096 368139 375948 387099 391878 396716 408483 410758 425736 428163 465156 478953 484866 490852 508226 516132 522504 529761 538002 544644 563922 570884 587817 595074 616137 638604 646488 697734 706348 717336 727299 736278 751896 762339 774198 783756 793432 807003 816966 821516 845883 856326 892611 930312 957906 969732 981704 1016452 1032264 1046601 1059522 1076004 1089288 1104417 1127844 1141768 1161297 1175634 1190148 1225449 1232274 1277208 1284489 1395468 1412696 1436859 1454598 1472556 1524678 1548396 1567512 1589283 1614006 1633932 1643032 1691766 1712652 1763451 1785222 1848411 1915812 1939464 2032904 2093202 2119044 2152008 2181897 2208834 2255688 2287017 2322594 2351268 2380296 2450898 2464548 2537649 2568978 2677833 2790936 2873718 2909196 2945112 3049356 3096792 3139803 3178566 3228012 3267864 3313251 3383532 3425304 3526902 3570444 3676347 3696822 3831624 3853467 4186404 4238088 4363794 4417668 4574034 4645188 4702536 4767849 4901796 4929096 5075298 5137956 5290353 5355666 5545233 5747436 5818392 5851561 6098712 6279606 6357132 6456024 6545691 6626502 6767064 6861051 7053804 7140888 7240067 7352694 7393644 7612947 7706934 8033499 8372808 8420539 8727588 8835336 9148068 9290376 9419409 9535698 9803592 9939753 10150596 10275912 10418633 10580706 10711332 11029041 11090466 11494872 11560401 11703122 12559212 12714264 13091382 13253004 13722102 14107608 14303547 14480134 14705388 14787288 14992667 15225894 15413868 15871059 16066998 16635699 16841078 17455176 17554683 18296136 18838818 19071396 19637073 19879506 20301192 20583153 20837266 21161412 21422664 21720201 22058082 22180932 22838841 23120802 23406244 24100497 25118424 25261617 26182764 26506008 27444204 28258227 28607094 28960268 29410776 29819259 29985334 30451788 30827736 31255899 31742118 32133996 33087123 33271398 33682156 34681203 35109366 37677636 38142792 39274146 39759012 41166306 41674532 42322824 42910641 43440402 44116164 44361864 44978001 45677682 46241604 46812488 47613177 48200994 49907097 50523234 52365528 52664049 54888408 56516454 57214188 57920536 58911219 59638518 59970668 60903576 61749459 62511798 63484236 64267992 65160603 66174246 66542796 67364312 68516523 69362406 70218732 72301491 75355272 75784851 78548292 79518024 82332612 83349064 84774681 85821282 86880804 88232328 89457777 89956002 91355364 92483208 93767697 95226354 96401988 99814194 101046468 104043609 105328098 113032908 114428376 117822438 119277036 119941336 123498918 125023596 126968472 128731923 130321206 132348492 133085592 134934003 137033046 138724812 140437464 144602982 149721291 151569702 157096584 157992147 164665224 169549362 171642564 173761608 178915554 179912004 182710728 185248377 187535394 190452708 192803976 195481809 199628388 202092936 208087218 210656196 216904473 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1667235393 1687818546 1708655812 1735235784 1759336281 1796655492 1818836424 1844098041 1872784962 1895905764 1952140257 2046190977 2071452594 2146986648 2222980524 2250424728 2317174614 2345781708 2415359979 2428812054 2458797388 2497046616 2531727819 2562983718 2602853676 2694983238 2728254636 2761936792 2809177443 2843858646 3089566152 3107178891 3220479972 3238416072 3334470786 3375637092 3417311624 3475761921 3518672562 3593310984 3643218081 3688196082 3745569924 3791811528 3844475577 3904280514 4042474857 4092381954 4142905188 4265787969 4445961048 4634349228 4691563416 4830719958 4857624108 4917594776 5001706179 5063455638 5125967436 5205707352 5278008843 5389966476 5456509272 5532294123 5618354886 5687717292 6138572931 6214357782 6440959944 6668941572 6751274184 6951523842 7037345124 7286436162 7376392164 7491139848 7595183457 7688951154 7808561028 8084949714 8184763908 8285810376 8531575938 9268698456 9321536673 9661439916 9715248216 10003412358 10126911276 10251934872 10556017686 10779932952 10929654243 11064588246 11236709772 11375434584 11533426731 12277145862 12428715564 12797363907 13337883144 13903047684 14074690248 14572872324 14752784328 15190366914 15377902308 15617122056 15834026529 16169899428 16369527816 16596882369 17063151876 18415718793 18643073346 19322879832 20006824716 20253822552 21112035372 21859308486 22129176492 22473419544 22785550371 23066853462 24554291724 24857431128 25202673227 25594727814 27806095368 27964610019 29145744648 30380733828 30755804616 31668053058 32339798856 32788962729 33193764738 34126303752 34600280193 36831437586 37286146692 38392091721 40013649432 42224070744 43718616972 44258352984 45571100742 46133706924 47502079587 49108583448 49790647107 50405346454 51189455628 55247156379 55929220038 60761467656 63336106116 65577925458 66387529476 68356651113 69200560386 73662875172 74572293384 75608019681 76784183442 83893830057 87437233944 91142201484 92267413848 95004159174 98366888187 99581294214 100810692908 102378911256 103800840579 110494312758 111858440076 115176275163 126672212232 131155850916 132775058952 136713302226 138401120772 142506238761 147325750344 149371941321 151216039362 153568366884 165741469137 167787660114 182284402968 190008318348 196733776374 199162588428 201621385816 205069953339 207601681158 220988625516 223716880152 226824059043 230352550326 251681490171 262311701832 273426604452 276802241544 285012477522 295100664561 298743882642 302432078724 307136733768 311402521737 331482938274 335575320228 380016636696 393467552748 398325176856 410139906678 415203362316 441977251032 448115823963 453648118086 460705100652 503362980342 546853208904 570024955044 590201329122 597487765284 604864157448 622805043474 662965876548 671150640456 680472177129 755044470513 786935105496 820279813356 830406724632 896231647926 907296236172 921410201304 934207565211 1006725960684 1140049910088 1180402658244 1194975530568 1245610086948 1325931753096 1344347471889 1360944354258 1510088941026 1640559626712 1792463295852 1814592472344 1868415130422 2013451921368 2041416531387 2265133411539 2360805316488 2491220173896 2688694943778 2721888708516 2802622695633 3020177882052 3584926591704 3736830260844 4033042415667 4082833062774 4530266823078 5377389887556 5443777417032 5605245391266 6040355764104 6124249594161 6795400234617 7473660521688 8066084831334 8165666125548 8407868086899 9060533646156 10754779775112 11210490782532 12099127247001 12248499188322 13590800469234 16132169662668 16331332251096 16815736173798 18121067292312 18372748782483 22420981565064 24198254494002 24496998376644 27181600938468 32264339325336 33631472347596 36745497564966 48396508988004 48993996753288 54363201876936 55118246347449 67262944695192 73490995129932 96793017976008 110236492694898 146981990259864 165354739042347 220472985389796 330709478084694 440945970779592 496064217127041 661418956169388 992128434254082 1322837912338776 1984256868508164 3968513737016328
- Sum of all divisors σ(n): 11796779722622400
- Sum of proper divisors (its aliquot sum) s(n): 7828265985606072
- 3968513737016328 is an abundant number, because the sum of its proper divisors (7828265985606072) is greater than itself. Its abundance is 3859752248589744
Bases of 3968513737016328
- Binary: 11100001100101010111100110111001010011000100000010002
- Hexadecimal: 0xE19579B94C408
- Base-36: 132PY1J14I0
Squares and roots of 3968513737016328
- 3968513737016328 squared (39685137370163282) is 15749101280887300953595738603584
- 3968513737016328 cubed (39685137370163283) is 62500524778862700708912216042954612653327319552
-
The
square root of 3968513737016328 is 62996140.6517599933 -
The
cube root of 3968513737016328 is 158322.4964694799
Scales and comparisons
How big is 3968513737016328?- 3,968,513,737,016,328 seconds is equal to 126,186,461 years, 21 weeks, 5 days, 4 hours, 58 minutes, 48 seconds.
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To count from 1 to 3,968,513,737,016,328 would take you about three hundred seventy-eight million, five hundred fifty-nine thousand, three hundred eighty-four 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 3968513737016328 cubic inches would be around 13193.5 feet tall.
Recreational maths with 3968513737016328
- 3968513737016328 backwards is 8236107373158693
- 3968513737016328 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3968513737016328's digits is 72
- More coming soon!
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The information we have on file for 3968513737016328 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 3968513737016328, math, Factors of 3968513737016328, curriculum, school, college, exams, university, Prime factorization of 3968513737016328, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred sixty-eight trillion, five hundred thirteen billion, seven hundred thirty-seven million, sixteen thousand, three hundred twenty-eight.