3428385105600
3,428,385,105,600 is an even composite number composed of seven prime numbers multiplied together.
3428385105600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 3428385105600:
26 × 32 × 52 × 7 × 133 × 113 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 13 × 113 × 137)See below for interesting mathematical facts about the number 3428385105600 from the Numbermatics database.
Names of 3428385105600
- Cardinal: 3428385105600 can be written as Three trillion, four hundred twenty-eight billion, three hundred eighty-five million, one hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 3.4283851056 × 1012
Factors of 3428385105600
Divisors of 3428385105600
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 113 117 120 126 130 137 140 144 150 156 160 168 169 175 180 182 192 195 200 208 210 224 225 226 234 240 252 260 273 274 280 288 300 312 315 320 325 336 338 339 350 360 364 390 400 411 416 420 448 450 452 455 468 480 504 507 520 525 546 548 560 565 576 585 600 624 630 650 672 676 678 685 700 720 728 780 791 800 819 822 832 840 845 900 904 910 936 959 960 975 1008 1014 1017 1040 1050 1092 1096 1120 1130 1170 1183 1200 1233 1248 1260 1300 1344 1352 1356 1365 1370 1400 1440 1456 1469 1521 1560 1575 1582 1600 1638 1644 1680 1690 1695 1781 1800 1808 1820 1872 1918 1950 2016 2028 2034 2055 2080 2100 2184 2192 2197 2240 2260 2275 2340 2366 2373 2400 2466 2496 2520 2535 2600 2704 2712 2730 2740 2800 2825 2877 2880 2912 2925 2938 3042 3120 3150 3164 3276 3288 3360 3380 3390 3425 3549 3562 3600 3616 3640 3744 3836 3900 3955 4032 4056 4068 4095 4110 4160 4200 4225 4368 4384 4394 4407 4520 4550 4680 4732 4746 4795 4800 4932 5040 5070 5085 5200 5343 5408 5424 5460 5480 5600 5650 5754 5824 5850 5876 5915 6084 6165 6240 6300 6328 6552 6576 6591 6720 6760 6780 6825 6850 7098 7119 7124 7200 7232 7280 7345 7488 7605 7672 7800 7910 8112 8136 8190 8220 8400 8450 8475 8631 8736 8768 8788 8814 8905 9040 9100 9360 9464 9492 9590 9864 10080 10140 10170 10275 10283 10400 10647 10686 10816 10848 10920 10960 10985 11200 11300 11508 11700 11752 11830 11865 12168 12330 12467 12480 12600 12656 12675 13104 13152 13182 13221 13520 13560 13650 13700 14196 14238 14248 14385 14400 14560 14690 15210 15344 15379 15481 15600 15820 16029 16224 16272 16380 16440 16800 16900 16950 17262 17472 17576 17628 17745 17810 18080 18200 18720 18928 18984 19097 19180 19728 19773 19775 20160 20280 20340 20475 20550 20566 20800 21294 21372 21696 21840 21920 21970 22035 22600 23016 23153 23400 23504 23660 23730 23975 24336 24660 24934 25200 25312 25350 25425 26208 26304 26364 26442 26715 27040 27120 27300 27400 28392 28476 28496 28770 29120 29380 29575 30420 30688 30758 30825 30849 30962 31200 31640 32058 32448 32544 32760 32880 32955 33600 33800 33900 34524 35152 35256 35490 35595 35620 36160 36400 36725 37401 37440 37856 37968 38025 38194 38360 39456 39546 39550 40560 40680 40950 41100 41132 42588 42744 43155 43680 43840 43940 44070 44525 45200 46032 46137 46306 46443 46800 47008 47320 47460 47950 48672 49320 49868 50400 50624 50700 50850 51415 52416 52728 52884 53235 53430 54080 54240 54600 54800 54925 56784 56952 56992 57291 57540 58760 59150 59325 60840 61376 61516 61650 61698 61924 62335 62400 63280 64116 65088 65520 65760 65910 66105 67600 67800 69048 69459 70304 70512 70980 71190 71240 71925 72800 73450 74802 75712 75936 76050 76388 76720 76895 77405 78912 79092 79100 80145 81120 81360 81900 82200 82264 85176 85488 86310 87360 87880 88140 88725 89050 90400 92064 92274 92547 92612 92886 93600 94016 94640 94920 95485 95900 97344 98640 98865 99736 100800 101400 101700 102830 105456 105768 106470 106860 108367 108480 109200 109600 109850 110175 112203 113568 113904 113984 114582 115080 115765 117520 118300 118650 121680 123032 123300 123396 123848 124670 126560 128232 131040 131520 131820 132210 133575 133679 135200 135600 138096 138411 138918 139329 140608 141024 141960 142380 142480 143850 145600 146900 149604 151872 152100 152776 153440 153790 154245 154810 158184 158200 160290 162071 162240 162720 163800 164400 164528 164775 170352 170976 171873 172620 175760 176280 177450 177975 178100 180800 184128 184548 185094 185224 185772 187005 187200 189280 189840 190970 191800 197280 197730 199472 201253 202800 203400 205660 208377 210912 211536 212940 213720 215775 216734 218400 219200 219700 220350 224406 227136 227808 229164 230160 230685 231530 232215 235040 236600 237300 243360 246064 246600 246792 247696 248261 249340 253120 256464 257075 262080 263640 264420 266175 267150 267358 270400 271200 276192 276822 277836 278658 282048 283920 284760 284960 286455 287700 293800 299208 300989 304200 305552 306880 307580 308490 309620 311675 316368 316400 320580 324142 325101 325440 327600 328800 329056 329550 330525 340704 341952 343746 345240 347295 351520 352560 354900 355950 356200 369096 370188 370448 371544 374010 378560 379680 381940 383600 384475 387025 394560 395460 398944 400725 401037 402506 405600 406800 411320 416754 421824 423072 425880 427440 431550 433468 436800 439400 440700 448812 455616 458328 460320 461370 462735 463060 464430 470080 473200 474600 477425 486213 486720 492128 493200 493584 494325 495392 496522 498680 512928 514150 527280 528840 532350 534300 534716 541835 542400 552384 553644 555672 557316 561015 567840 569520 569920 572910 575400 578825 587600 598416 601978 603759 608400 611104 615160 616980 619240 623350 632736 632800 641160 648284 650202 655200 657600 658112 659100 661050 668395 681408 687492 690480 692055 694590 696645 703040 705120 709800 711900 712400 738192 740376 740896 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1762800 1795248 1805934 1811277 1833312 1845480 1850940 1852240 1857720 1870050 1892800 1898400 1909700 1944852 1950606 1972800 1974336 1977300 1986088 1994720 2005185 2012530 2056600 2083770 2106923 2109120 2115360 2129400 2137200 2138864 2167340 2214576 2222688 2229264 2234349 2244060 2278080 2291640 2301600 2306850 2313675 2315300 2322150 2350400 2393664 2406222 2407912 2415036 2431065 2433600 2460640 2467920 2476960 2482610 2493400 2564640 2593136 2600808 2616289 2636400 2644200 2673580 2708901 2709175 2749968 2761920 2768220 2778360 2786580 2805075 2817542 2839200 2847600 2849600 2864550 2917278 2952768 2961504 2972352 2979132 2992080 3009890 3018795 3055520 3075800 3084900 3096200 3163680 3205800 3208296 3220048 3241420 3251010 3290560 3334032 3341975 3407040 3437460 3452400 3460275 3467744 3472950 3475654 3483225 3515200 3525600 3590496 3611868 3622554 3666624 3690960 3701880 3704480 3715440 3723915 3740100 3796800 3819400 3889704 3901212 3954600 3972176 3989440 4010370 4025060 4051775 4113200 4167540 4213846 4226313 4230720 4258800 4274400 4277728 4296825 4334680 4429152 4445376 4458528 4468698 4488120 4514835 4583280 4603200 4613700 4627350 4630600 4644300 4812444 4815824 4830072 4862130 4876515 4921280 4935840 4953920 4965220 4986800 5031325 5129280 5186272 5201616 5209425 5213481 5232578 5272800 5288400 5347160 5417802 5418350 5499936 5536440 5556720 5573160 5610150 5635084 5678400 5695200 5729100 5834556 5923008 5958264 5984160 6015555 6019780 6037590 6111040 6151600 6169800 6192400 6206525 6320769 6327360 6411600 6416592 6440096 6482840 6502020 6668064 6683950 6874920 6904800 6920550 6935488 6945900 6951308 6966450 7043855 7051200 7180992 7223736 7245108 7293195 7381920 7403760 7408960 7430880 7447830 7480200 7524725 7638800 7779408 7802424 7848867 7909200 7944352 8020740 8050120 8103550 8127525 8226400 8335080 8427692 8452626 8517600 8548800 8555456 8593650 8669360 8689135 8858304 8917056 8937396 8976240 9029670 9056385 9166560 9227400 9254700 9261200 9288600 9624888 9631648 9660144 9724260 9753030 9871680 9930440 9973600 10025925 10062650 10372544 10403232 10418850 10426962 10465156 10534615 10545600 10576800 10694320 10835604 10836700 10999872 11072880 11113440 11146320 11171745 11220300 11270168 11390400 11458200 11669112 11916528 11968320 12031110 12039560 12075180 12155325 12303200 12339600 12384800 12413050 12641538 12678939 12823200 12833184 12880192 12965680 13004040 13081445 13336128 13367900 13544505 13749840 13809600 13841100 13891800 13902616 13932900 14087710 14447472 14490216 14586390 14763840 14807520 14861760 14895660 14960400 15049450 15093975 15277600 15558816 15604848 15640443 15697734 15818400 15888704 16041480 16100240 16207100 16255050 16452800 16670160 16855384 16905252 17035200 17187300 17338720 17378270 17874792 17952480 18059340 18112770 18314023 18333120 18454800 18509400 18522400 18577200 18619575 18962307 19249776 19263296 19320288 19448520 19506060 19860880 19947200 20051850 20125300 20806464 20837700 20853924 20930312 21069230 21131565 21153600 21388640 21671208 21673400 22145760 22226880 22292640 22343490 22440600 22540336 22574175 22916400 23338224 23546601 23833056 24062220 24079120 24150360 24310650 24382575 24606400 24679200 24769600 24826100 25283076 25357878 25646400 25666368 25931360 26008080 26067405 26162890 26735800 27089010 27499680 27682200 27783600 27805232 27865800 28175420 28894944 28980432 29172780 29615040 29791320 29920800 30077775 30098900 30187950 30555200 31117632 31209696 31280886 31395468 31603845 31636800 32082960 32200480 32414200 32510100 33340320 33710768 33810504 34011757 34374600 34677440 34756540 35219275 35749584 35904960 36118680 36225540 36465975 36628046 36909600 37018800 37044800 37154400 37239150 37924614 38499552 38640576 38897040 39012120 39244335 39721760 40103700 40250600 41675400 41707848 41860624 42138460 42263130 42777280 43342416 43346800 43445675 44291520 44585280 44686980 44881200 45080672 45148350 45281925 45832800 46676448 47093202 47666112 48124440 48158240 48300720 48621300 48765150 49358400 49652200 50566152 50715756 51862720 52016160 52134810 52325780 52673075 53471600 54178020 54942069 54999360 55364400 55567200 55610464 55731600 55858725 56350840 57789888 57960864 58345560 59582640 59841600 60155550 60197800 60375900 62419392 62561772 62790936 63207690 63394695 64165920 64400960 64828400 65020200 65407225 66680640 67421536 67621008 67722525 68023514 68749200 69513080 70438550 71499168 72237360 72451080 72931950 73256092 73819200 74037600 74308800 74478300 75849228 76999104 77794080 78024240 78202215 78488670 79443520 80207400 80501200 83350800 83415696 83721248 84276920 84526260 86684832 86693600 86891350 89373960 89762400 90161344 90296700 90563850 91570115 91665600 93352896 94186404 94811535 96248880 96316480 96601440 97242600 97530300 99304400 101132304 101431512 102035271 104032320 104269620 104651560 105346150 105657825 106943200 108356040 109884138 110728800 111134400 111220928 111463200 111717450 112701680 115921728 116691120 117733005 119165280 120311100 120395600 120751800 125123544 125581872 126415380 126789390 128331840 129656800 130040400 130337025 130814450 134843072 135242016 135445050 136047028 137498400 139026160 140877100 142998336 144474720 144902160 145863900 146512184 148075200 148956600 151698456 155588160 156048480 156404430 156977340 158019225 160414800 161002400 164826207 166701600 166831392 167442496 168553840 169052520 170058785 173369664 173387200 173782700 178747920 179524800 180593400 181127700 183140230 188372808 189623070 192497760 193202880 194485200 195060600 196221675 198608800 202264608 202863024 204070542 208539240 209303120 210692300 211315650 213886400 216712080 219768276 221457600 222926400 223434900 225403360 233382240 235466010 238082299 238330560 240622200 240791200 241503600 250247088 251163744 252830760 253578780 259313600 260080800 260674050 261628900 270484032 270890100 272094056 274710345 274996800 278052320 281754200 288949440 289804320 291727800 293024368 297913200 303396912 306105813 312096960 312808860 313954680 316038450 316973475 320829600 322004800 329652414 333403200 333662784 337107680 338105040 340117570 347565400 357495840 361186800 362255400 366280460 376745616 379246140 384995520 388970400 390121200 391011075 392443350 397217600 404529216 405726048 408141084 417078480 418606240 421384600 422631300 433424160 439536552 446869800 450806720 457850575 466764480 470932020 474057675 476164598 481244400 481582400 483007200 500494176 502327488 505661520 507157560 510176355 520161600 521348100 523257800 541780200 544188112 549420690 556104640 563508400 579608640 583455600 586048736 588665025 595826400 606793824 612211626 625617720 627909360 632076900 633946950 641659200 659304828 674215360 676210080 680235140 695130800 714246897 714991680 722373600 724510800 732560920 753491232 758492280 777940800 780242400 782022150 784886700 811452096 816282168 824131035 834156960 837212480 842769200 845262600 850293925 866848320 879073104 893739600 915701150 941864040 948115350 952329196 962488800 966014400 1000988352 1011323040 1014315120 1020352710 1042696200 1046515600 1083560400 1088376224 1098841380 1127016800 1166911200 1172097472 1177330050 1190411495 1191652800 1213587648 1224423252 1251235440 1255818720 1264153800 1267893900 1318609656 1352420160 1360470280 1373551725 1390261600 1428493794 1444747200 1449021600 1465121840 1506982464 1516984560 1530529065 1560484800 1564044300 1569773400 1632564336 1648262070 1668313920 1685538400 1690525200 1700587850 1758146208 1787479200 1831402300 1883728080 1896230700 1904658392 1924977600 2022646080 2028630240 2040705420 2085392400 2093031200 2142740691 2167120800 2176752448 2197682760 2254033600 2333822400 2354660100 2380822990 2448846504 2502470880 2511637440 2528307600 2535787800 2550881775 2637219312 2720940560 2747103450 2780523200 2856987588 2898043200 2930243680 3033969120 3061058130 3128088600 3139546800 3265128672 3296524140 3371076800 3381050400 3401175700 3516292416 3571234485 3574958400 3662804600 3767456160 3792461400 3809316784 4057260480 4081410840 4120655175 4170784800 4186062400 4285481382 4334241600 4395365520 4709320200 4761645980 4897693008 5004941760 5056615200 5071575600 5101763550 5274438624 5441881120 5494206900 5713975176 5860487360 5952057475 6067938240 6122116260 6256177200 6279093600 6530257344 6593048280 6762100800 6802351400 7142468970 7325609200 7534912320 7584922800 7618633568 7652645325 8162821680 8241310350 8341569600 8570962764 8790731040 9418640400 9523291960 9795386016 10113230400 10143151200 10203527100 10548877248 10713703455 10883762240 10988413800 11427950352 11904114950 12244232520 12512354400 12558187200 13186096560 13604702800 14284937940 14651218400 15169845600 15237267136 15305290650 16325643360 16482620700 17141925528 17581462080 17856172425 18837280800 19046583920 19590772032 20286302400 20407054200 21427406910 21976827600 22855900704 23808229900 24488465040 25024708800 26372193120 27209405600 28569875880 29302436800 30339691200 30610581300 32651286720 32965241400 34283851056 35712344850 37674561600 38093167840 40814108400 42854813820 43953655200 45711801408 47616459800 48976930080 52744386240 53568517275 54418811200 57139751760 61221162600 65930482800 68567702112 71424689700 76186335680 81628216800 85709627640 87907310400 95232919600 97953860160 107137034550 114279503520 122442325200 131860965600 137135404224 142849379400 163256433600 171419255280 190465839200 214274069100 228559007040 244884650400 263721931200 285698758800 342838510560 380931678400 428548138200 489769300800 571397517600 685677021120 857096276400 1142795035200 1714192552800 3428385105600
- Sum of all divisors σ(n): 15330617527680
- Sum of proper divisors (its aliquot sum) s(n): 11902232422080
- 3428385105600 is an abundant number, because the sum of its proper divisors (11902232422080) is greater than itself. Its abundance is 8473847316480
Bases of 3428385105600
- Binary: 1100011110001110111010110100100110110000002
- Hexadecimal: 0x31E3BAD26C0
- Base-36: 17QZ7Z1S0
Squares and roots of 3428385105600
- 3428385105600 squared (34283851056002) is 11753824432299923151360000
- 3428385105600 cubed (34283851056003) is 40296636617534432084147238383616000000
-
The
square root of 3428385105600 is 1851589.8859088639 -
The
cube root of 3428385105600 is 15078.6756664979
Scales and comparisons
How big is 3428385105600?- 3,428,385,105,600 seconds is equal to 109,012 years, 2 weeks, 1 day, 4 hours.
-
To count from 1 to 3,428,385,105,600 would take you about two hundred seventy-two thousand, five hundred thirty 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 3428385105600 cubic inches would be around 1256.6 feet tall.
Recreational maths with 3428385105600
- 3428385105600 backwards is 0065015838243
- 3428385105600 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428385105600's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 3428385105600 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/3428385105600/
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The information we have on file for 3428385105600 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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