42428850022400
42,428,850,022,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42428850022400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42428850022400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42428850022400:
211 × 52 × 17 × 19 × 61 × 137 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 19 × 61 × 137 × 307)See below for interesting mathematical facts about the number 42428850022400 from the Numbermatics database.
Names of 42428850022400
- Cardinal: 42428850022400 can be written as Forty-two trillion, four hundred twenty-eight billion, eight hundred fifty million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.24288500224 × 1013
Factors of 42428850022400
Divisors of 42428850022400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 61 64 68 76 80 85 95 100 122 128 136 137 152 160 170 190 200 244 256 272 274 304 305 307 320 323 340 380 400 425 475 488 512 544 548 608 610 614 640 646 680 685 760 800 850 950 976 1024 1037 1088 1096 1159 1216 1220 1228 1280 1292 1360 1370 1520 1525 1535 1600 1615 1700 1900 1952 2048 2074 2176 2192 2318 2329 2432 2440 2456 2560 2584 2603 2720 2740 3040 3050 3070 3200 3230 3400 3425 3800 3904 4148 4352 4384 4636 4658 4864 4880 4912 5120 5168 5185 5206 5219 5440 5480 5795 5833 6080 6100 6140 6400 6460 6800 6850 7600 7675 7808 8075 8296 8357 8704 8768 9272 9316 9728 9760 9824 10240 10336 10370 10412 10438 10880 10960 11590 11645 11666 12160 12200 12280 12800 12920 13015 13600 13700 15200 15350 15616 16150 16592 16714 17408 17536 18544 18632 18727 19456 19520 19648 19703 20672 20740 20824 20876 21760 21920 23180 23290 23332 24320 24400 24560 25600 25840 25925 26030 26095 27200 27400 28975 29165 30400 30700 31232 32300 33184 33428 34816 35072 37088 37264 37454 38912 39040 39296 39406 41344 41480 41648 41752 41785 42059 43520 43840 44251 46360 46580 46664 48640 48800 49120 51200 51680 51850 52060 52190 54400 54800 57950 58225 58330 60800 61400 62464 64600 65075 66368 66856 70144 74176 74528 74908 78080 78592 78812 82688 82960 83296 83504 83570 84118 87040 87680 88502 92720 93160 93328 93635 97280 97600 98240 98515 99161 103360 103700 104120 104380 108800 109600 115900 116450 116660 121600 122800 124928 129200 130150 130475 132736 133712 140288 142069 145825 148352 149056 149816 156160 157184 157624 158783 165376 165920 166592 167008 167140 168236 174080 175360 177004 185440 186320 186656 187270 194560 195200 196480 197030 198322 206720 207400 208240 208760 208925 210295 217600 219200 221255 231800 232900 233320 243200 245600 258400 260300 260950 265472 267424 280576 284138 291650 296704 298112 299632 312320 314368 315248 317566 318359 330752 331840 333184 334016 334280 336472 350720 354008 355813 370880 372640 373312 374540 390400 392960 394060 396644 413440 414800 416480 417520 417850 420590 435200 438400 442510 463600 465800 466640 468175 486400 491200 492575 495805 516800 520600 521900 530944 534848 568276 583300 593408 596224 599264 624640 628736 630496 635132 636718 661504 663680 666368 668032 668560 672944 701440 708016 710345 711626 715003 741760 745280 746624 749080 780800 785920 788120 793288 793915 799121 826880 829600 832960 835040 835700 841180 870400 876800 885020 927200 931600 933280 936350 972800 982400 985150 991610 1033600 1041200 1043800 1051475 1061888 1069696 1106275 1136552 1166600 1186816 1192448 1198528 1260992 1270264 1273436 1327360 1332736 1336064 1337120 1345888 1402880 1416032 1420690 1423252 1430006 1483520 1490560 1493248 1498160 1561600 1571840 1576240 1586576 1587830 1591795 1598242 1653760 1659200 1665920 1670080 1671400 1682360 1753600 1770040 1779065 1854400 1863200 1866560 1872700 1964800 1970300 1983220 2067200 2082400 2087600 2102950 2123776 2139392 2212550 2273104 2333200 2373632 2384896 2397056 2479025 2521984 2540528 2546872 2565599 2654720 2665472 2672128 2674240 2691776 2699311 2832064 2841380 2846504 2860012 2967040 2981120 2986496 2996320 3123200 3143680 3152480 3173152 3175660 3183590 3196484 3307520 3318400 3331840 3340160 3342800 3364720 3507200 3540080 3551725 3558130 3575015 3708800 3726400 3733120 3745400 3929600 3940600 3966440 3969575 3995605 4134400 4164800 4175200 4205900 4278784 4425100 4546208 4666400 4769792 4794112 4958050 5043968 5081056 5093744 5131198 5309440 5330944 5344256 5348480 5383552 5398622 5664128 5682760 5693008 5720024 5934080 5962240 5972992 5992640 6048821 6304960 6346304 6351320 6367180 6392968 6636800 6663680 6680320 6685600 6729440 7014400 7080160 7103450 7116260 7150030 7417600 7452800 7466240 7490800 7859200 7881200 7932880 7939150 7958975 7991210 8268800 8329600 8350400 8411800 8557568 8850200 8895325 9092416 9332800 9588224 9916100 10087936 10162112 10187488 10262396 10618880 10688512 10696960 10767104 10797244 11328256 11365520 11386016 11440048 11868160 11924480 11945984 11985280 12097642 12609920 12692608 12702640 12734360 12785936 12827995 13273600 13327360 13360640 13371200 13458880 13496555 13585057 14160320 14206900 14232520 14300060 14835200 14905600 14932480 14981600 15718400 15762400 15865760 15878300 15917950 15982420 16537600 16659200 16700800 16823600 17115136 17700400 17790650 17875075 18184832 18665600 19176448 19832200 19978025 20175872 20324224 20374976 20524792 21393920 21534208 21594488 22656512 22731040 22772032 22880096 23848960 23970560 24195284 25219840 25385216 25405280 25468720 25571872 25655990 26547200 26654720 26721280 26742400 26917760 26993110 27170114 28320640 28413800 28465040 28600120 29670400 29811200 29864960 29963200 30244105 31524800 31731520 31756600 31835900 31964840 33318400 33401600 33647200 35400800 35581300 35750150 36369664 37331200 38352896 39664400 39956050 40351744 40648448 40749952 41049584 42787840 43068416 43188976 43615183 45313024 45462080 45544064 45760192 47941120 48390568 48746381 50439680 50770432 50810560 50937440 51143744 51311980 53094400 53442560 53484800 53835520 53986220 54340228 56641280 56827600 56930080 57200240 59340800 59622400 59729920 59926400 60488210 63049600 63463040 63513200 63671800 63929680 64139975 66636800 66803200 67294400 67482775 67925285 70801600 71162600 71500300 72739328 74662400 79328800 79912100 81296896 81499904 82099168 85575680 86136832 86377952 87230366 90626048 90924160 91088128 91520384 95882240 96781136 97492762 100879360 101540864 101621120 101874880 102287488 102623960 106969600 107671040 107972440 108680456 113282560 113655200 113860160 114400480 119244800 119852800 120976420 126099200 126926080 127026400 127343600 127859360 128279950 133273600 133606400 134588800 134965550 135850570 141603200 142325200 143000600 145478656 149324800 151220525 158657600 159824200 162593792 162999808 164198336 172755904 174460732 181848320 182176256 183040768 191764480 193562272 194985524 201758720 203081728 203242240 203749760 204574976 205247920 213939200 215342080 215944880 217360912 218075915 226565120 227310400 227720320 228800960 239705600 241952840 243731905 252198400 253852160 254052800 254687200 255718720 256559900 267212800 269177600 269931100 271701140 283206400 284650400 286001200 290957312 298649600 302441050 317315200 319648400 325187584 325999616 328396672 339626425 345511808 348921464 363696640 364352512 366081536 387124544 389971048 406484480 407499520 409149952 410495840 427878400 430684160 431889760 434721824 436151830 453130240 454620800 455440640 457601920 479411200 483905680 487463810 504396800 507704320 508105600 509374400 511437440 513119800 538355200 539862200 543402280 566412800 569300800 572002400 604882100 634630400 639296800 651999232 656793344 679252850 691023616 697842928 727393280 728705024 732163072 774249088 779942096 812968960 814999040 818299904 820991680 828688477 863779520 869443648 872303660 909241600 910881280 915203840 958822400 967811360 974927620 1008793600 1015408640 1016211200 1018748800 1022874880 1026239600 1076710400 1079724400 1086804560 1090379575 1132825600 1138601600 1144004800 1209764200 1218659525 1269260800 1278593600 1313586688 1358505700 1382047232 1395685856 1454786560 1464326144 1548498176 1559884192 1625937920 1629998080 1636599808 1641983360 1657376954 1727559040 1738887296 1744607320 1818483200 1821762560 1830407680 1935622720 1949855240 2032422400 2037497600 2045749760 2052479200 2153420800 2159448800 2173609120 2180759150 2265651200 2277203200 2288009600 2419528400 2437319050 2538521600 2557187200 2627173376 2717011400 2764094464 2791371712 3096996352 3119768384 3259996160 3283966720 3314753908 3455118080 3477774592 3489214640 3636966400 3643525120 3660815360 3871245440 3899710480 4064844800 4074995200 4091499520 4104958400 4143442385 4318897600 4347218240 4361518300 4554406400 4576019200 4839056800 4874638100 5077043200 5114374400 5254346752 5434022800 5528188928 5582743424 6193992704 6239536768 6567933440 6629507816 6910236160 6955549184 6978429280 7273932800 7321630720 7742490880 7799420960 8129689600 8149990400 8182999040 8209916800 8286884770 8637795200 8694436480 8723036600 9108812800 9152038400 9678113600 9749276200 10228748800 10868045600 11165486848 12387985408 12479073536 13135866880 13259015632 13820472320 13911098368 13956858560 15484981760 15598841920 16299980800 16419833600 16573769540 17275590400 17388872960 17446073200 18217625600 18304076800 19356227200 19498552400 20457497600 20717211925 21736091200 22330973696 24958147072 26271733760 26518031264 27640944640 27822196736 27913717120 30969963520 31197683840 32839667200 33147539080 34551180800 34777745920 34892146400 36608153600 38712454400 38997104800 40914995200 41434423850 43472182400 44661947392 49916294144 53036062528 55827434240 61939927040 62395367680 65679334400 66295078160 69102361600 69555491840 69784292800 77424908800 77994209600 82868847700 86944364800 89323894784 99832588288 106072125056 111654868480 124790735360 131358668800 132590156320 138204723200 139110983680 139568585600 154849817600 155988419200 165737695400 173888729600 212144250112 223309736960 249581470720 265180312640 279137171200 309699635200 311976838400 331475390800 347777459200 424288500224 446619473920 499162941440 530360625280 558274342400 623953676800 662950781600 695554918400 848577000448 1060721250560 1116548684800 1247907353600 1325901563200 1697154000896 2121442501120 2233097369600 2495814707200 2651803126400 4242885002240 5303606252800 8485770004480 10607212505600 21214425011200 42428850022400
- Sum of all divisors σ(n): 120431360649600
- Sum of proper divisors (its aliquot sum) s(n): 78002510627200
- 42428850022400 is an abundant number, because the sum of its proper divisors (78002510627200) is greater than itself. Its abundance is 35573660604800
Bases of 42428850022400
- Binary: 10011010010110101111001000100010101000000000002
- Hexadecimal: 0x2696BC88A800
- Base-36: F1FJLTMGW
Squares and roots of 42428850022400
- 42428850022400 squared (424288500224002) is 1800207314223312480501760000
- 42428850022400 cubed (424288500224003) is 76380726144408435576939299339239424000000
-
The
square root of 42428850022400 is 6513743.1652161417 -
The
cube root of 42428850022400 is 34878.1751002145
Scales and comparisons
How big is 42428850022400?- 42,428,850,022,400 seconds is equal to 1,349,106 years, 9 weeks, 6 days, 53 minutes, 20 seconds.
-
To count from 1 to 42,428,850,022,400 would take you about three million, three hundred seventy-two thousand, seven hundred sixty-five 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 42428850022400 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428850022400
- 42428850022400 backwards is 00422005882424
- The number of decimal digits it has is: 14
- The sum of 42428850022400's digits is 41
- More coming soon!
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The information we have on file for 42428850022400 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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