428116191798960
428,116,191,798,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428116191798960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
428116191798960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 428116191798960:
24 × 32 × 5 × 7 × 232 × 41 × 19792
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 23 × 23 × 41 × 1979 × 1979)See below for interesting mathematical facts about the number 428116191798960 from the Numbermatics database.
Names of 428116191798960
- Cardinal: 428116191798960 can be written as Four hundred twenty-eight trillion, one hundred sixteen billion, one hundred ninety-one million, seven hundred ninety-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.2811619179896 × 1014
Factors of 428116191798960
Divisors of 428116191798960
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 28 30 35 36 40 41 42 45 46 48 56 60 63 69 70 72 80 82 84 90 92 105 112 115 120 123 126 138 140 144 161 164 168 180 184 205 207 210 230 240 246 252 276 280 287 315 322 328 336 345 360 368 369 410 414 420 460 483 492 504 529 552 560 574 615 630 644 656 690 720 738 805 820 828 840 861 920 943 966 984 1008 1035 1058 1104 1148 1230 1260 1288 1380 1435 1449 1476 1587 1610 1640 1656 1680 1722 1840 1845 1886 1932 1968 1979 2070 2116 2296 2415 2460 2520 2576 2583 2645 2760 2829 2870 2898 2952 3174 3220 3280 3312 3444 3690 3703 3772 3864 3958 4140 4232 4305 4592 4715 4761 4830 4920 5040 5166 5290 5520 5658 5740 5796 5904 5937 6348 6440 6601 6888 7245 7380 7406 7544 7728 7916 7935 8280 8464 8487 8610 9430 9522 9660 9840 9895 10332 10580 11109 11316 11480 11592 11874 12696 12880 12915 13202 13776 13853 14145 14490 14760 14812 15088 15832 15870 16560 16974 17220 17811 18515 18860 19044 19320 19790 19803 20664 21160 21689 22218 22632 22960 23184 23748 23805 25392 25830 26404 27706 28290 28980 29520 29624 29685 31664 31740 33005 33327 33948 34440 35622 37030 37720 38088 38640 39580 39606 41328 41559 42320 42435 43378 44436 45264 45517 47496 47610 51660 52808 55412 55545 56580 57960 59248 59370 59409 63480 65067 66010 66654 67896 68880 69265 71244 74060 75440 76176 79160 79212 81139 83118 84870 86756 88872 89055 91034 94992 95220 99015 103320 105616 108445 110824 111090 113160 115920 118740 118818 124677 126960 130134 132020 133308 135792 136551 138530 142488 148120 151823 158320 158424 162278 166236 166635 169740 173512 177744 178110 182068 190440 195201 198030 206640 207795 216890 221648 222180 226320 227585 237480 237636 243417 249354 260268 264040 266616 273102 277060 284976 296240 297045 303646 316848 318619 324556 325335 332472 333270 339480 347024 356220 364136 380880 390402 396060 405695 409653 415590 433780 444360 455170 455469 474960 475272 486834 498708 520536 528080 533232 546204 554120 567973 594090 607292 623385 637238 649112 650670 664944 666540 678960 682755 712440 728272 730251 759115 780804 792120 811390 819306 831180 867560 888720 910340 910938 950544 955857 973668 976005 997416 1041072 1046891 1092408 1108240 1135946 1188180 1214584 1217085 1246770 1274476 1298224 1301340 1333080 1365510 1366407 1424880 1460502 1518230 1561608 1584240 1593095 1622780 1638612 1662360 1703919 1735120 1820680 1821876 1866197 1911714 1947336 1952010 1994832 2048265 2093782 2184816 2271892 2277345 2376360 2429168 2434170 2493540 2548952 2602680 2666160 2731020 2732814 2839865 2867571 2921004 3036460 3123216 3140673 3186190 3245560 3277224 3324720 3407838 3641360 3643752 3651255 3732394 3823428 3894672 3904020 3916441 4096530 4187564 4543784 4554690 4752720 4779285 4868340 4987080 5097904 5111757 5205360 5234455 5462040 5465628 5598591 5679730 5735142 5842008 6072920 6281346 6372380 6491120 6554448 6815676 6832035 7287504 7302510 7328237 7464788 7646856 7808040 7832882 8193060 8375128 8519595 9087568 9109380 9330985 9422019 9558570 9736680 9974160 10223514 10468910 10924080 10931256 11197182 11359460 11470284 11684016 11749323 12145840 12562692 12744760 13063379 13631352 13664070 14337855 14605020 14656474 14929576 15293712 15616080 15665764 15703365 16386120 16750256 16795773 17039190 18218760 18661970 18844038 19117140 19473360 19582205 20447028 20937820 21862512 21984711 22394364 22718920 22940568 23498646 25125384 25489520 25558785 26126758 27262704 27328140 27415087 27992955 28675710 29210040 29312948 29859152 31331528 31406730 32772240 33591546 34078380 35247969 36437520 36641185 37323940 37688076 38234280 39164410 39190137 40894056 41875640 42922531 43969422 44788728 45437840 45881136 46997292 47110095 50250768 51117570 52253516 54656280 54830174 55985910 57351420 58420080 58625896 58746615 62663056 62813460 65316895 65954133 67183092 68156760 70495938 73282370 74647880 75376152 76468560 78328820 78380274 81788112 82245261 83751280 83978865 85845062 87938844 89577456 90078143 93994584 94220190 102235140 104507032 109312560 109660348 109923555 111971820 114702840 117251792 117493230 117570411 125626920 128767593 130633790 131908266 134366184 136313520 137075435 140991876 146564740 149295760 150752304 156657640 156760548 160574081 164490522 167957730 171690124 175877688 176239845 180156286 187989168 188440380 195950685 204470280 209014064 214612655 219320696 219847110 223943640 229405680 234986460 235140822 246735783 251253840 257535186 261267580 263816532 268732368 270234429 274150870 281983752 293129480 300457717 313315280 313521096 321148162 328981044 329770665 335915460 343380248 351755376 352479690 360312572 376880760 386302779 391901370 408940560 411226305 429225310 438641392 439694220 447887280 450390715 469972920 470281644 481722243 493471566 515070372 522535160 527633064 540468858 548301740 563967504 586258960 587852055 600915434 627042192 630547001 642296324 643837965 657962088 659541330 671830920 686760496 704959380 720625144 753761520 772605558 783802740 802870405 810703287 822452610 858450620 879388440 900781430 901373151 939945840 940563288 963444486 986943132 1030140744 1045070320 1055266128 1080937716 1096603480 1124018567 1175704110 1201830868 1233678915 1261094002 1284592648 1287675930 1315924176 1319082660 1343661840 1351172145 1409918760 1441250288 1445166729 1502288585 1545211116 1567605480 1605740810 1621406574 1644905220 1716901240 1758776880 1801562860 1802746302 1881126576 1891641003 1926888972 1931513895 1973886264 2060281488 2071797289 2161875432 2193206960 2248037134 2351408220 2403661736 2408611215 2467357830 2522188004 2569185296 2575351860 2638165320 2702344290 2704119453 2819837520 2890333458 3004577170 3090422232 3135210960 3152735005 3211481620 3242813148 3289810440 3372055701 3433802480 3603125720 3605492604 3693203863 3783282006 3853777944 3863027790 3947772528 4053516435 4143594578 4323750864 4496074268 4506865755 4702816440 4807323472 4817222430 4934715660 5044376008 5150703720 5276330640 5404688580 5408238906 5620092835 5674923009 5780666916 6009154340 6180844464 6215391867 6305470010 6422963240 6485626296 6579620880 6744111402 7206251440 7210985208 7225833645 7386407726 7566564012 7707555888 7726055580 8107032870 8287189156 8992148536 9013731510 9405632880 9458205015 9634444860 9869431320 10088752016 10116167103 10301407440 10358986445 10809377160 10816477812 11079611589 11240185670 11349846018 11561333832 12018308680 12430783734 12610940020 12845926480 12971252592 13488222804 13520597265 14421970416 14451667290 14502581023 14772815452 15133128024 15452111160 16214065740 16574378312 16860278505 17984297072 18027463020 18466019315 18646175601 18916410030 19268889720 19738862640 20232334206 20717972890 21618754320 21632955624 22159223178 22480371340 22699692036 23122667664 24036617360 24861567468 25221880040 25852427041 26976445608 27041194530 28374615045 28903334580 29005162046 29545630904 30266256048 30904222320 31076959335 32428131480 33148756624 33238834767 33720557010 36054926040 36932038630 37292351202 37832820060 38537779440 40464668412 41435945780 43265911248 43507743069 44318446356 44960742680 45399384072 49723134936 50443760080 50580835515 51704854082 53952891216 54082389060 55398057945 56749230090 57806669160 58010324092 59091261808 62153918670 64856262960 66477669534 67441114020 72109852080 72512905115 73864077260 74584702404 75665640120 77557281123 80929336824 82871891560 84943688849 87015486138 88636892712 89921485360 90798768144 93230878005 99446269872 101161671030 103409708164 108164778120 110796115890 113498460180 115613338320 116020648184 124307837340 129262135205 130523229207 132955339068 134882228040 145025810230 147728154520 149169404808 151331280240 155114562246 161858673648 165743783120 166194173835 169887377698 174030972276 177273785424 186461756010 202323342060 206819416328 216329556240 217538715345 221592231780 226996920360 232041296368 232671843369 248615674680 254831066547 258524270410 261046458414 265910678136 269764456080 290051620460 295456309040 298338809616 310229124492 332388347670 339774755396 348061944552 372923512020 387786405615 404646684120 413638832656 424718444245 435077430690 443184463560 453993840720 465343686738 497231349360 509662133094 517048540820 522092916828 531821356272 580103240920 594605821943 620458248984 652616146035 664776695340 679549510792 696123889104 745847024040 764493199641 775572811230 809293368240 849436888490 870154861380 886368927120 930687373476 1019324266188 1034097081640 1044185833656 1160206481840 1163359216845 1189211643886 1240916497968 1274155332735 1305232292070 1329553390680 1359099021584 1491694048080 1528986399282 1551145622460 1698873776980 1740309722760 1783817465829 1861374746952 2038648532376 2068194163280 2088371667312 2326718433690 2378423287772 2548310665470 2610464584140 2659106781360 2973029109715 3057972798564 3102291244920 3397747553960 3480619445520 3567634931658 3722749493904 3822465998205 4077297064752 4653436867380 4756846575544 5096621330940 5220929168280 5351452397487 5946058219430 6115945597128 6204582489840 6795495107920 7135269863316 7644931996410 8919087329145 9306873734760 9513693151088 10193242661880 10441858336560 10702904794974 11892116438860 12231891194256 14270539726632 15289863992820 17838174658290 18613747469520 20386485323760 21405809589948 23784232877720 26757261987435 28541079453264 30579727985640 35676349316580 42811619179896 47568465755440 53514523974870 61159455971280 71352698633160 85623238359792 107029047949740 142705397266320 214058095899480 428116191798960
- Sum of all divisors σ(n): 1760482857448224
- Sum of proper divisors (its aliquot sum) s(n): 1332366665649264
- 428116191798960 is an abundant number, because the sum of its proper divisors (1332366665649264) is greater than itself. Its abundance is 904250473850304
Bases of 428116191798960
- Binary: 11000010101011110100100011000100011100110101100002
- Hexadecimal: 0x1855E9188E6B0
- Base-36: 47R5V2YQ40
Squares and roots of 428116191798960
- 428116191798960 squared (4281161917989602) is 183283473680443905561057081600
- 428116191798960 cubed (4281161917989603) is 78466622771756560169690938495230351515136000
-
The
square root of 428116191798960 is 20690968.8463097349 -
The
cube root of 428116191798960 is 75368.0394086223
Scales and comparisons
How big is 428116191798960?- 428,116,191,798,960 seconds is equal to 13,612,770 years, 33 weeks, 5 days, 4 hours, 36 minutes.
-
To count from 1 to 428,116,191,798,960 would take you about thirty-four million, thirty-one thousand, nine hundred twenty-six 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 428116191798960 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428116191798960
- 428116191798960 backwards is 069897191611824
- 428116191798960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428116191798960's digits is 72
- More coming soon!
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The information we have on file for 428116191798960 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 428116191798960, math, Factors of 428116191798960, curriculum, school, college, exams, university, Prime factorization of 428116191798960, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, one hundred sixteen billion, one hundred ninety-one million, seven hundred ninety-eight thousand, nine hundred sixty.