3968149994791799321520
3,968,149,994,791,799,321,520 is an even composite number composed of six prime numbers multiplied together.
3968149994791799321520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 3968149994791799321520:
24 × 32 × 5 × 11299 × 52957 × 9210690737
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11299 × 52957 × 9210690737)See below for interesting mathematical facts about the number 3968149994791799321520 from the Numbermatics database.
Names of 3968149994791799321520
- Cardinal: 3968149994791799321520 can be written as Three sextillion, nine hundred sixty-eight quintillion, one hundred forty-nine quadrillion, nine hundred ninety-four trillion, seven hundred ninety-one billion, seven hundred ninety-nine million, three hundred twenty-one thousand, five hundred twenty.
Scientific notation
- Scientific notation: 3.96814999479179932152 × 1021
Factors of 3968149994791799321520
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 9210755003
Divisors of 3968149994791799321520
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 11299 22598 33897 45196 52957 56495 67794 90392 101691 105914 112990 135588 158871 169485 180784 203382 211828 225980 264785 271176 317742 338970 406764 423656 451960 476613 508455 529570 542352 635484 677940 794355 813528 847312 903920 953226 1016910 1059140 1270968 1355880 1588710 1627056 1906452 2033820 2118280 2383065 2541936 2711760 3177420 3812904 4067640 4236560 4766130 6354840 7625808 8135280 9532260 12709680 19064520 38129040 598361143 1196722286 1795083429 2393444572 2991805715 3590166858 4786889144 5385250287 5983611430 7180333716 8975417145 9210690737 9573778288 10770500574 11967222860 14360667432 17950834290 18421381474 21541001148 23934445720 26926251435 27632072211 28721334864 35901668580 36842762948 43082002296 46053453685 47868891440 53852502870 55264144422 71803337160 73685525896 82896216633 86164004592 92106907370 107705005740 110528288844 138160361055 143606674320 147371051792 165792433266 184213814740 215410011480 221056577688 276320722110 331584866532 368427629480 414481083165 430820022960 442113155376 552641444220 663169733064 736855258960 828962166330 1105282888440 1326339466128 1657924332660 2210565776880 3315848665320 6631697330640 104071594637363 208143189274726 312214783912089 416286378549452 487770549359309 520357973186815 624429567824178 832572757098904 936644351736267 975541098718618 1040715946373630 1248859135648356 1463311648077927 1561073919560445 1665145514197808 1873288703472534 1951082197437236 2081431892747260 2438852746796545 2497718271296712 2926623296155854 3122147839120890 3746577406945068 3902164394874472 4162863785494520 4389934944233781 4683221758681335 4877705493593090 4995436542593424 5853246592311708 6244295678241780 7316558240389635 7493154813890136 7804328789748944 8325727570989040 8779869888467562 9366443517362670 9755410987186180 11706493184623416 12488591356483560 14633116480779270 14986309627780272 17559739776935124 18732887034725340 19510821974372360 21949674721168905 23412986369246832 24977182712967120 29266232961558540 35119479553870248 37465774069450680 39021643948744720 43899349442337810 58532465923117080 70238959107740496 74931548138901360 87798698884675620 117064931846234160 175597397769351240 351194795538702480 5511319437210832391 11022638874421664782 16533958311632497173 22045277748843329564 27556597186054161955 33067916623264994346 44090555497686659128 49601874934897491519 55113194372108323910 66135833246529988692 82669791558162485865 88181110995373318256 99203749869794983038 110226388744216647820 132271666493059977384 165339583116324971730 198407499739589966076 220452777488433295640 248009374674487457595 264543332986119954768 330679166232649943460 396814999479179932152 440905554976866591280 496018749348974915190 661358332465299886920 793629998958359864304 992037498697949830380 1322716664930599773840 1984074997395899660760 3968149994791799321520
- Sum of all divisors σ(n): 13327801497198419493600
- Sum of proper divisors (its aliquot sum) s(n): 9359651502406620172080
- 3968149994791799321520 is an abundant number, because the sum of its proper divisors (9359651502406620172080) is greater than itself. Its abundance is 5391501507614820850560
Bases of 3968149994791799321520
- Binary: 1101011100011101001001001100010000011010011110010101101101110011101100002
- Hexadecimal: 0xD71D24C41A795B73B0
- Base-36: N9G55RX3AFJWS0
Squares and roots of 3968149994791799321520
- 3968149994791799321520 squared (39681499947917993215202) is 15746214381166156982504530307319532335110400
- 3968149994791799321520 cubed (39681499947917993215203) is 62483340514615041406644239809095717999313022542121715994295808000
-
The
square root of 3968149994791799321520 is 62993253565.6938370965 -
The
cube root of 3968149994791799321520 is 15831765.9197860511
Scales and comparisons
How big is 3968149994791799321520?- 3,968,149,994,791,799,321,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 3,968,149,994,791,799,321,520 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 3968149994791799321520 cubic inches would be around 1319313.8 feet tall.
Recreational maths with 3968149994791799321520
- 3968149994791799321520 backwards is 0251239971974999418693
- The number of decimal digits it has is: 22
- The sum of 3968149994791799321520's digits is 117
- More coming soon!
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