428168368846400
428,168,368,846,400 is an even composite number composed of seven prime numbers multiplied together.
428168368846400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 428168368846400:
26 × 52 × 7 × 13 × 232 × 532 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 23 × 23 × 53 × 53 × 1979)See below for interesting mathematical facts about the number 428168368846400 from the Numbermatics database.
Names of 428168368846400
- Cardinal: 428168368846400 can be written as Four hundred twenty-eight trillion, one hundred sixty-eight billion, three hundred sixty-eight million, eight hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.281683688464 × 1014
Factors of 428168368846400
Divisors of 428168368846400
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 32 35 40 46 50 52 53 56 64 65 70 80 91 92 100 104 106 112 115 130 140 160 161 175 182 184 200 208 212 224 230 260 265 280 299 320 322 325 350 364 368 371 400 416 424 448 455 460 520 529 530 560 575 598 644 650 689 700 728 736 742 800 805 832 848 910 920 1040 1058 1060 1120 1150 1196 1219 1288 1300 1325 1378 1400 1456 1472 1484 1495 1600 1610 1696 1820 1840 1855 1979 2080 2093 2116 2120 2240 2275 2300 2392 2438 2576 2600 2645 2650 2756 2800 2809 2912 2968 2990 3220 3392 3445 3640 3680 3703 3710 3958 4025 4160 4186 4232 4240 4550 4600 4784 4823 4876 5152 5200 5290 5300 5512 5600 5618 5824 5936 5980 6095 6440 6877 6890 7280 7360 7406 7420 7475 7916 8050 8372 8464 8480 8533 9100 9200 9275 9568 9646 9752 9895 10304 10400 10465 10580 10600 11024 11200 11236 11872 11960 12190 12880 13225 13754 13780 13853 14045 14560 14812 14840 14950 15832 15847 16100 16744 16928 16960 17066 17225 18200 18400 18515 18550 19136 19292 19504 19663 19790 20800 20930 21160 21200 22048 22472 23744 23920 24115 24380 25727 25760 26450 27508 27560 27706 28037 28090 29120 29624 29680 29900 30475 31664 31694 32200 33488 33856 34132 34385 34450 36400 36517 36800 37030 37100 38584 39008 39326 39580 41860 42320 42400 42665 44096 44944 45517 47840 48139 48230 48760 49475 51454 51520 52325 52900 55016 55120 55412 56074 56180 59248 59360 59800 60950 63328 63388 64400 64607 66976 68264 68770 68900 69265 70225 72800 73034 74060 74200 77168 78016 78652 79160 79235 83720 84640 84800 85330 89888 91034 92575 95680 96278 96460 97520 98315 98950 102908 104650 104887 105800 110032 110240 110824 110929 112148 112360 118496 118720 119600 120575 121900 126656 126776 128635 128800 129214 133952 136528 137540 137800 138530 140185 140450 145600 146068 148120 148400 154336 157304 158320 158470 167440 169280 170660 171925 179776 180089 182068 182585 185150 192556 192920 195040 196259 196630 197900 205816 209300 209774 211600 213325 220064 220480 221648 221858 224296 224720 227585 236992 239200 240695 241150 243800 253552 255619 257270 257600 258428 273056 275080 275600 277060 280370 280900 292136 296240 296800 308672 314608 316640 316940 318619 323035 334880 341320 343850 346325 360178 364136 364481 365170 370300 385112 385840 390080 392518 393260 395800 396175 411632 418600 419548 423200 426650 440128 443296 443716 448592 449440 452249 455170 478400 481390 482300 487600 491575 507104 511238 514540 516856 524435 546112 550160 551200 554120 554645 560740 561800 584272 591721 592480 593600 629216 633280 633880 637238 643175 646070 669760 682640 687700 692650 700925 720356 728272 728962 730340 734209 740600 770224 771680 785036 786520 791600 792350 823264 837200 839096 839891 846400 853300 886592 887432 897184 898880 900445 904498 910340 912925 962780 964600 975200 981295 983150 1014208 1022476 1029080 1033712 1046891 1048870 1100320 1102400 1108240 1109290 1121480 1123600 1137925 1168544 1183442 1184960 1203475 1258432 1267760 1274476 1278095 1286350 1292140 1363531 1365280 1375400 1385300 1401850 1440712 1456544 1457924 1460680 1468418 1481200 1485961 1540448 1543360 1570072 1573040 1583200 1584700 1593095 1615175 1646528 1674400 1678192 1679782 1706600 1774864 1794368 1800890 1808996 1820680 1822405 1825850 1925560 1929200 1950400 1962590 1966300 2044952 2058160 2067424 2093782 2097740 2200640 2216480 2218580 2242960 2247200 2261245 2275850 2337088 2366884 2406950 2412401 2535520 2548952 2551367 2556190 2572700 2584280 2622175 2727062 2730560 2750800 2770600 2773225 2803700 2881424 2913088 2915848 2921360 2936836 2958605 2962400 2971922 3080896 3140144 3146080 3166400 3169400 3186190 3230350 3348800 3356384 3359564 3413200 3549728 3601780 3617992 3641360 3644810 3651700 3671045 3851120 3858400 3925180 3932600 4089904 4116320 4134848 4142047 4187564 4195480 4199455 4432960 4437160 4485920 4494400 4502225 4522490 4551700 4733768 4813900 4824802 4906475 5071040 5097904 5102734 5112380 5145400 5168560 5234455 5244350 5454124 5501600 5541200 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218164960 219528491 221940892 222360440 234503584 234946880 235169480 236688400 237753760 238617925 241240100 250889704 254895200 255136700 255714506 260043175 265091008 268765120 270188912 270444902 272191660 272706200 277426115 277950550 288142400 289068572 291584800 293129480 293683600 293961850 297192200 305430944 309079888 311304616 313612130 314014400 331363760 332855264 335005120 335956400 337736140 340239575 355776704 361335715 361799200 366411850 376271168 381068324 381788680 385984160 386349860 388396561 389130770 408218720 408990400 414204700 416069080 418756400 422170175 435506656 436329920 439056982 443881784 444720880 469007168 470338960 473376800 475507520 476335405 477235850 482480200 482937325 501779408 505870001 509790400 510273400 511429012 520086350 540377824 540889804 544383320 545412400 554852230 555901100 578137144 583169600 586258960 587367200 587923700 594384400 610861888 618159776 622609232 627224260 639286265 662727520 665710528 671912800 675472280 676112255 680479150 721307899 722671430 723598400 732823700 762136648 763577360 771968320 772699720 776793122 778261540 784030325 816437440 828409400 832138160 837512800 844340350 871013312 878113964 887763568 889441760 895000771 940677920 946753600 952670810 954471700 964960400 965874650 972826925 1003558816 1011740002 1020546800 1022858024 1040172700 1080755648 1081779608 1088766640 1090824800 1097642455 1109704460 1111802200 1156274288 1172517920 1174734400 1175847400 1188768800 1236319552 1245218464 1254448520 1278572530 1325455040 1343825600 1350944560 1352224510 1360958300 1387130575 1442615798 1445342860 1465647400 1524273296 1527154720 1545399440 1553586244 1556523080 1568060650 1656818800 1662144289 1664276320 1675025600 1688680700 1756227928 1775527136 1778883520 1790001542 1806678575 1881355840 1905341620 1908943400 1929920800 1931749300 1941982805 1945653850 2007117632 2023480004 2041093600 2045716048 2080345400 2163559216 2177533280 2181649600 2195284910 2219408920 2223604400 2312548576 2345035840 2351694800 2377537600 2381677025 2490436928 2508897040 2529350005 2557145060 2701889120 2704449020 2721916600 2774261150 2885231596 2890685720 2931294800 2940716819 3048546592 3054309440 3090798880 3107172488 3113046160 3136121300 3196431325 3313637600 3324288578 3328552640 3377361400 3380561275 3512455856 3551054272 3580003084 3606539495 3613357150 3810683240 3817886800 3859841600 3863498600 3883965610 3891307700 4046960008 4082187200 4091432096 4160690800 4327118432 4355066560 4390569820 4438817840 4447208800 4475003855 4625097152 4703389600 4763354050 5017794080 5049155293 5058700010 5114290120 5403778240 5408898040 5443833200 5488212275 5548522300 5770463192 5781371440 5862589600 5881433638 6097093184 6181597760 6214344976 6226092320 6272242600 6392862650 6627275200 6648577156 6754722800 6761122550 7024911712 7160006168 7213078990 7226714300 7621366480 7635773600 7726997200 7767931220 7782615400 8093920016 8182864192 8310721445 8321381600 8654236864 8781139640 8877635680 8894417600 8950007710 9406779200 9526708100 9709914025 10035588160 10098310586 10117400020 10228580240 10817796080 10887666400 10976424550 11097044600 11540926384 11562742880 11635010023 11725179200 11762867276 12428689952 12452184640 12544485200 12646750025 12785725300 13297154312 13509445600 13522245100 14049823424 14320012336 14426157980 14453428600 14703584095 15242732960 15271547200 15453994400 15535862440 15565230800 16187840032 16621442890 16642763200 17562279280 17755271360 17900015420 18032697475 19053416200 19419828050 20196621172 20234800040 20457160480 20585017733 21635592160 21775332800 21952849100 22194089200 22375019275 23081852768 23125485760 23270020046 23525734552 24857379904 25088970400 25245776465 25293500050 25571450600 26594308624 27018891200 27044490200 28640024672 28852315960 28906857200 29407168190 30485465920 30907988800 31071724880 31130461600 32375680064 33242885780 35124558560 35800030840 36065394950 38106832400 38229318647 38839656100 40393242344 40469600080 40914320960 41170035466 41553607225 43271184320 43905698200 44388178400 44750038550 46163705536 46540040092 47051469104 50177940800 50491552930 50587000100 51142901200 53188617248 54088980400 57280049344 57704631920 57813714400 58175050115 58814336380 62143449760 62260923200 66485771560 70249117120 71600061680 72130789900 73517920475 76213664800 76458637294 77679312200 80786484688 80939200160 82340070932 83107214450 87811396400 88776356800 89500077100 93080080184 94102938208 100983105860 101174000200 102285802400 102925088665 106377234496 108177960800 115409263840 115627428800 116350100230 117628672760 124286899520 126228882325 132971543120 143200123360 144261579800 147035840950 152427329600 152917274588 155358624400 161572969376 161878400320 164680141864 166214428900 175622792800 179000154200 186160160368 188205876416 191146593235 201966211720 202348000400 204571604800 205850177330 216355921600 230818527680 232700200460 235257345520 252457764650 265943086240 267605230529 286400246720 288523159600 290875250575 294071681900 305834549176 310717248800 323145938752 329360283728 332428857800 351245585600 358000308400 372320320736 382293186470 403932423440 404696000800 411700354660 465400400920 470514691040 504915529300 514625443325 531886172480 535210461058 577046319200 581750501150 588143363800 611669098352 621434497600 658720567456 664857715600 716000616800 744640641472 764586372940 807864846880 809392001600 823400709320 930800801840 941029382080 955732966175 1009831058600 1029250886650 1070420922116 1154092638400 1163501002300 1176286727600 1223338196704 1317441134912 1329715431200 1338026152645 1432001233600 1529172745880 1615729693760 1646801418640 1861601603680 1911465932350 2019662117200 2058501773300 2140841844232 2327002004600 2352573455200 2446676393408 2659430862400 2676052305290 3058345491760 3293602837280 3723203207360 3822931864700 4039324234400 4117003546600 4281683688464 4654004009200 4705146910400 5352104610580 6116690983520 6587205674560 6690130763225 7645863729400 8078648468800 8234007093200 8563367376928 9308008018400 10704209221160 12233381967040 13380261526450 15291727458800 16468014186400 17126734753856 18616016036800 21408418442320 26760523052900 30583454917600 32936028372800 42816836884640 53521046105800 61166909835200 85633673769280 107042092211600 214084184423200 428168368846400
- Sum of all divisors σ(n): 1382277080479680
- Sum of proper divisors (its aliquot sum) s(n): 954108711633280
- 428168368846400 is an abundant number, because the sum of its proper divisors (954108711633280) is greater than itself. Its abundance is 525940342786880
Bases of 428168368846400
- Binary: 11000010101101010101101111000011101110110010000002
- Hexadecimal: 0x1856AB7877640
- Base-36: 47RTTZTXKW
Squares and roots of 428168368846400
- 428168368846400 squared (4281683688464002) is 183328152080586838066792960000
- 428168368846400 cubed (4281683688464003) is 78495315839969618858347716416822841344000000
-
The
square root of 428168368846400 is 20692229.6731502573 -
The
cube root of 428168368846400 is 75371.1011335273
Scales and comparisons
How big is 428168368846400?- 428,168,368,846,400 seconds is equal to 13,614,429 years, 37 weeks, 2 days, 4 hours, 53 minutes, 20 seconds.
-
To count from 1 to 428,168,368,846,400 would take you about thirty-four million, thirty-six thousand and seventy-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 428168368846400 cubic inches would be around 6280.9 feet tall.
Recreational maths with 428168368846400
- 428168368846400 backwards is 004648863861824
- The number of decimal digits it has is: 15
- The sum of 428168368846400's digits is 68
- More coming soon!
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"Number 428168368846400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 428168368846400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/428168368846400/
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The information we have on file for 428168368846400 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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