4001944308397216
4,001,944,308,397,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 4001944308397216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
4001944308397216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 4001944308397216:
25 × 172 × 29 × 792 × 97 × 1572
(2 × 2 × 2 × 2 × 2 × 17 × 17 × 29 × 79 × 79 × 97 × 157 × 157)See below for interesting mathematical facts about the number 4001944308397216 from the Numbermatics database.
Names of 4001944308397216
- Cardinal: 4001944308397216 can be written as Four quadrillion, one trillion, nine hundred forty-four billion, three hundred eight million, three hundred ninety-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.001944308397216 × 1015
Factors of 4001944308397216
Divisors of 4001944308397216
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 8 16 17 29 32 34 58 68 79 97 116 136 157 158 194 232 272 289 314 316 388 464 493 544 578 628 632 776 928 986 1156 1256 1264 1343 1552 1649 1972 2291 2312 2512 2528 2669 2686 2813 3104 3298 3944 4553 4582 4624 5024 5338 5372 5626 6241 6596 7663 7888 8381 9106 9164 9248 10676 10744 11252 12403 12482 13192 15229 15326 15776 16762 18212 18328 21352 21488 22504 22831 24649 24806 24964 26384 28033 30458 30652 33524 36424 36656 38947 42704 42976 45008 45373 45662 47821 49298 49612 49928 52768 56066 60916 61304 67048 72848 73312 77401 77894 85408 90016 90746 91324 95642 98596 99224 99856 106097 112132 121832 122608 130271 134096 145696 154802 155788 180989 181492 182648 191284 197192 198448 199712 210851 212194 222227 224264 243664 245216 258893 260542 268192 309604 311576 359687 361978 362984 365296 382568 394384 396896 419033 421702 424388 441641 444454 448528 487328 517786 521084 605377 619208 623152 662099 714821 719374 723956 725968 730592 765136 788768 812957 838066 843404 848776 883282 888908 897056 979837 1035572 1042168 1203091 1210754 1238416 1246304 1315817 1324198 1429642 1438748 1447912 1451936 1530272 1625914 1676132 1686808 1697552 1766564 1777816 1803649 1947271 1959674 2071144 2084336 2214607 2390953 2406182 2421508 2476832 2631634 2648396 2859284 2877496 2895824 3076813 3251828 3352264 3373616 3395104 3533128 3555632 3584467 3607298 3777859 3894542 3919348 4142288 4168672 4401181 4429214 4781906 4812364 4843016 5263268 5296792 5718568 5754992 5791648 6114679 6153626 6503656 6704528 6747232 7066256 7111264 7123561 7168934 7214596 7507897 7555718 7789084 7838696 8284576 8802362 8858428 9563812 9624728 9686032 10291409 10526536 10593584 11437136 11509984 12151957 12229358 12307252 13007312 13409056 14132512 14247122 14337868 14429192 15015794 15111436 15578168 15677392 16657229 17555933 17604724 17716856 19127624 19249456 19372064 20452547 20582818 21053072 21187168 22874272 24303914 24458716 24614504 26014624 28415273 28494244 28675736 28858384 30031588 30222872 31156336 31354784 33103607 33314458 34889639 35111866 35209448 35433712 38255248 38498912 40646201 40905094 41165636 42106144 48607828 48917432 49229008 52305821 56470859 56830546 56988488 57351472 57716768 60063176 60445744 62312672 64223603 66207214 66628916 69337637 69779278 70223732 70418896 70867424 76510496 81292402 81810188 82331272 95044189 97215656 97834864 98458016 103949543 104611642 112941718 113661092 113976976 114702944 120126352 120891488 127634249 128447206 132414428 133257832 138675274 139558556 140447464 140837792 153834409 162584804 163620376 164662544 174953953 188885287 190088378 194431312 195669728 206583269 207899086 209223284 225883436 227322184 227953952 240252704 255268498 256894412 264828856 266515664 277350548 279117112 280894928 283172893 298450861 307668818 325169608 327240752 329325088 347693299 349907906 377770574 380176756 388862624 413166538 415798172 418446568 451766872 454644368 483059641 510536996 513788824 529657712 533031328 554701096 558234224 561789856 562761319 566345786 593123863 596901722 615337636 650339216 654481504 690985417 695386598 699815812 755541148 760353512 826333076 831596344 836893136 903533744 909288736 960004603 966119282 1021073992 1027577648 1059315424 1109402192 1116468448 1125522638 1132691572 1178739829 1186247726 1193803444 1230675272 1300678432 1381970834 1390773196 1399631624 1511082296 1520707024 1615751213 1652666152 1663192688 1673786272 1807067488 1920009206 1932238564 2042147984 2055155296 2218804384 2251045276 2265383144 2357479658 2372495452 2387606888 2461350544 2615184953 2756281481 2763941668 2781546392 2799263248 3022164592 3041414048 3211049879 3231502426 3305332304 3326385376 3840018412 3864477128 4084295968 4461197861 4502090552 4530766288 4714959316 4744990904 4775213776 4922701088 5073664637 5230369906 5477673323 5512562962 5527883336 5563092784 5598526496 6044329184 6422099758 6463004852 6610664608 7680036824 7728954256 8212013897 8922395722 9004181104 9061532576 9429918632 9489981808 9550427552 10083105671 10147329274 10460739812 10955346646 11025125924 11055766672 11126185568 12844199516 12926009704 14921937673 15360073648 15457908512 16320078251 16424027794 17844791444 18008362208 18859837264 18979963616 20038577093 20166211342 20294658548 20921479624 21910693292 22050251848 22111533344 25688399032 25852019408 27467770621 29843875346 30720147296 32640156502 32848055588 35689582888 37719674528 40077154186 40332422684 40589317096 41842959248 43821386584 44100503696 44458144201 46856785177 51376798064 51704038816 54587847943 54935541242 59687750692 65280313004 65696111176 71379165776 75840363637 80154308372 80664845368 81178634192 83685918496 87642773168 88201007392 88916288402 93120446491 93713570354 102753596128 109175695886 109871082484 119375501384 130560626008 131392222352 142758331552 151680727274 160308616744 161329690736 162357268384 175285546336 177832576804 186240892982 187427140708 218351391772 219742164968 238751002768 253672940441 261121252016 262784444704 303361454548 320617233488 322659381472 355665153608 372481785964 374854281416 432736192517 436702783544 439484329936 477502005536 507345880882 522242504032 606722909096 641234466976 711330307216 744963571928 749708562832 796565348009 865472385034 873405567088 878968659872 1014691761764 1213445818192 1289286181829 1422660614432 1489927143856 1499417125664 1583047590347 1593130696018 1730944770068 1746811134176 2029383523528 2426891636384 2578572363658 2979854287712 3166095180694 3186261392036 3461889540136 4058767047056 4312439987497 5157144727316 6332190361388 6372522784072 6923779080272 7356515272789 8117534094112 8624879974994 10314289454632 12664380722776 12745045568144 13847558160544 14713030545578 17249759949988 20628578909264 25328761445552 25490091136288 29426061091156 34499519899976 41257157818528 50657522891104 58852122182312 68999039799952 117704244364624 125060759637413 137998079599904 235408488729248 250121519274826 500243038549652 1000486077099304 2000972154198608 4001944308397216
- Sum of all divisors σ(n): 8916333257239380
- Sum of proper divisors (its aliquot sum) s(n): 4914388948842164
- 4001944308397216 is an abundant number, because the sum of its proper divisors (4914388948842164) is greater than itself. Its abundance is 912444640444948
Bases of 4001944308397216
- Binary: 11100011011110111111010001001110100110110100101000002
- Hexadecimal: 0xE37BF44E9B4A0
- Base-36: 13EKJU22V8G
Squares and roots of 4001944308397216
- 4001944308397216 squared (40019443083972162) is 16015558247512871484650836550656
- 4001944308397216 cubed (40019443083972163) is 64093372174438227179577997460983199557353373696
-
The
square root of 4001944308397216 is 63260922.4434580625 -
The
cube root of 4001944308397216 is 158765.8210072735
Scales and comparisons
How big is 4001944308397216?- 4,001,944,308,397,216 seconds is equal to 127,249,450 years, 9 weeks, 2 days, 17 hours, 16 seconds.
-
To count from 1 to 4,001,944,308,397,216 would take you about three hundred eighty-one million, seven hundred forty-eight thousand, three hundred fifty 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 4001944308397216 cubic inches would be around 13230.5 feet tall.
Recreational maths with 4001944308397216
- 4001944308397216 backwards is 6127938034491004
- The number of decimal digits it has is: 16
- The sum of 4001944308397216's digits is 61
- More coming soon!
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The information we have on file for 4001944308397216 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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