42328490468400
42,328,490,468,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42328490468400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
42328490468400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42328490468400:
24 × 35 × 52 × 23 × 29 × 31 × 21061
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 29 × 31 × 21061)See below for interesting mathematical facts about the number 42328490468400 from the Numbermatics database.
Names of 42328490468400
- Cardinal: 42328490468400 can be written as Forty-two trillion, three hundred twenty-eight billion, four hundred ninety million, four hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.23284904684 × 1013
Factors of 42328490468400
Divisors of 42328490468400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 29 30 31 36 40 45 46 48 50 54 58 60 62 69 72 75 80 81 87 90 92 93 100 108 115 116 120 124 135 138 144 145 150 155 162 174 180 184 186 200 207 216 225 230 232 240 243 248 261 270 276 279 290 300 310 324 345 348 360 368 372 400 405 414 432 435 450 460 464 465 486 496 522 540 552 558 575 580 600 620 621 648 667 675 690 696 713 720 725 744 775 783 810 828 837 870 899 900 920 930 972 1035 1044 1080 1104 1116 1150 1160 1200 1215 1240 1242 1296 1305 1334 1350 1380 1392 1395 1426 1450 1488 1550 1566 1620 1656 1674 1725 1740 1798 1800 1840 1860 1863 1944 2001 2025 2070 2088 2139 2160 2175 2232 2300 2320 2325 2349 2430 2480 2484 2511 2610 2668 2697 2700 2760 2790 2852 2900 3100 3105 3132 3240 3312 3335 3348 3450 3480 3565 3596 3600 3720 3726 3888 3915 4002 4050 4140 4176 4185 4278 4350 4464 4495 4600 4650 4698 4860 4968 5022 5175 5220 5336 5394 5400 5520 5580 5589 5704 5800 6003 6075 6200 6210 6264 6417 6480 6525 6670 6696 6900 6960 6975 7047 7130 7192 7440 7452 7533 7830 8004 8091 8100 8280 8370 8556 8700 8990 9200 9300 9315 9396 9720 9936 10005 10044 10350 10440 10672 10695 10788 10800 11160 11178 11408 11600 11745 12006 12150 12400 12420 12528 12555 12834 13050 13340 13392 13485 13800 13950 14094 14260 14384 14904 15066 15525 15660 16008 16182 16200 16560 16675 16740 17112 17400 17825 17980 18009 18600 18630 18792 19251 19440 19575 20010 20088 20677 20700 20880 20925 21061 21390 21576 22320 22356 22475 23490 24012 24273 24300 24840 25110 25668 26100 26680 26970 27600 27900 27945 28188 28520 29808 30015 30132 31050 31320 32016 32085 32364 32400 33350 33480 34224 34800 35235 35650 35960 36018 37200 37260 37584 37665 38502 39150 40020 40176 40455 41354 41400 41850 42122 42780 43152 44712 44950 46575 46980 48024 48546 48600 49680 50025 50220 51336 52200 53360 53475 53940 54027 55800 55890 56376 57040 57753 58725 60030 60264 62031 62100 62640 62775 63183 64170 64728 66700 66960 67425 70470 71300 71920 72036 72819 74520 75330 77004 78300 80040 80910 82708 82800 83700 84244 85560 89424 89900 90045 93150 93960 96048 96255 97092 97200 100050 100440 102672 103385 104400 105305 106950 107880 108054 111600 111780 112752 115506 117450 120060 120528 121365 124062 124200 125550 126366 128340 129456 133400 134850 139725 140940 142600 144072 145638 149040 150075 150660 154008 156600 160080 160425 161820 162081 165416 167400 168488 171120 173259 176175 179800 180090 186093 186300 187920 188325 189549 192510 194184 200100 200880 202275 206770 210610 213900 215760 216108 218457 223560 231012 234900 240120 242730 248124 248400 251100 252732 256680 266800 269700 270135 279450 281880 285200 288144 288765 291276 300150 301320 308016 310155 313200 315915 320850 323640 324162 330832 334800 336976 346518 352350 359600 360180 364095 372186 372600 376650 379098 385020 388368 400200 404550 413540 421220 427800 432216 436914 447120 450225 462024 469800 480240 481275 484403 485460 496248 502200 505464 513360 516925 526525 539400 540270 558279 558900 563760 568647 577530 582552 600300 602640 606825 610769 620310 631830 641700 647280 648324 652891 693036 704700 720360 728190 744372 745200 753300 758196 770040 800400 809100 810405 827080 842440 855600 864432 866295 873828 900450 924048 930465 939600 947745 962550 968806 970920 992496 1004400 1010928 1033850 1053050 1078800 1080540 1092285 1116558 1117800 1137294 1155060 1165104 1200600 1213650 1221538 1240620 1263660 1283400 1296648 1305782 1350675 1386072 1409400 1440720 1443825 1453209 1456380 1488744 1506600 1516392 1540080 1550775 1579575 1618200 1620810 1654160 1674837 1684880 1705941 1732590 1747656 1800900 1820475 1832307 1860930 1895490 1925100 1937612 1941840 1958673 2067700 2106100 2161080 2184570 2233116 2235600 2274588 2310120 2401200 2422015 2427300 2443076 2481240 2527320 2566800 2593296 2611564 2701350 2772144 2791395 2818800 2843235 2887650 2906418 2912760 2977488 3013200 3032784 3053845 3101550 3159150 3236400 3241620 3264455 3349674 3411882 3465180 3495312 3601800 3640950 3664614 3721860 3790980 3850200 3875224 3917346 4052025 4135400 4212200 4322160 4331475 4359627 4369140 4466232 4549176 4620240 4652325 4738725 4844030 4854600 4886152 4962480 5024511 5054640 5117823 5223128 5402700 5461425 5496921 5582790 5686470 5775300 5812836 5825520 5876019 6107690 6203100 6318300 6483240 6528910 6699348 6823764 6930360 7203600 7266045 7281900 7329228 7443720 7581960 7700400 7750448 7834692 8104050 8270800 8374185 8424400 8529705 8662950 8719254 8738280 8932464 9098352 9161535 9304650 9477450 9688060 9709200 9772304 9793365 10049022 10235646 10446256 10805400 10922850 10993842 11165580 11372940 11550600 11625672 11752038 12110075 12215380 12406200 12636600 12966480 13057820 13078881 13398696 13647528 13860720 13956975 14047687 14216175 14532090 14563800 14658456 14887440 15016493 15163920 15269225 15669384 16208100 16322275 16490763 16748370 17059410 17325900 17438508 17476560 17628057 18323070 18609300 18933839 18954900 19376120 19586730 20098044 20471292 21610800 21798135 21845700 21987684 22331160 22745880 23101200 23251344 23504076 24220150 24430760 24812400 25122555 25273200 25589115 26115640 26157762 26797392 27295056 27484605 27913950 28095374 28432350 29064180 29127600 29316912 29380095 30032986 30538450 31338768 32416200 32644550 32981526 33496740 34118820 34651800 34877016 35256114 36330225 36646140 37218600 37867678 37909800 38752240 39173460 39236643 40196088 40942584 41870925 42143061 42648525 43596270 43691400 43975368 44662320 45049479 45491760 45807675 47008152 48440300 48861520 48966825 49472289 50245110 51178230 52231280 52315524 52884171 54969210 55827900 56190748 56801517 56864700 58128360 58760190 60065972 61076900 64832400 65289100 65394405 65963052 66993480 68237640 69303600 69754032 70238435 70512228 72660450 73292280 74437200 75082465 75735356 75819600 78346920 78473286 80392176 81885168 82453815 83741850 84286122 85297050 87192540 87382800 87950736 88140285 90098958 91615350 94016304 94669195 96880600 97933650 98944578 100490220 102356460 104631048 105768342 108990675 109938420 111655800 112381496 113603034 113729400 116256720 117520380 117709929 120131944 122153800 125612775 126429183 127945575 130578200 130788810 131926104 133986960 135148437 136475280 137423025 140476870 141024456 145320900 146584560 146900475 148416867 150164930 151470712 156693840 156946572 158652513 164907630 167483700 168572244 170404551 170594100 174385080 176280570 180197916 183230700 189338390 193761200 195867300 196183215 197889156 200980440 204712920 209262096 210715305 211536684 217981350 219876840 223311600 224762992 225247395 227206068 227458800 235040760 235419858 240263888 244307600 247361445 251225550 252858366 255891150 261156400 261577620 263852208 264420855 270296874 274846050 280953740 282048912 284007585 290641800 293800950 296833734 300329860 302941424 313893144 317305026 326972025 329815260 334967400 337144488 340809102 341188200 348770160 351192175 352561140 360395832 366461400 375412325 378676780 379287549 391734600 392366430 395778312 401960880 405445311 409425840 412269075 421430610 423073368 435478297 435962700 439753680 440701425 450494790 454412136 470081520 470839716 473345975 494722890 502451100 505716732 511213653 511782300 523155240 528841710 540593748 549692100 561907480 568015170 581283600 587601900 588549645 593667468 600659720 627786288 632145915 634610052 653944050 659630520 669934800 674288976 675742185 681618204 682376400 702384350 705122280 720791664 732922800 742084335 750824650 757353560 758575098 783469200 784732860 791556624 793262565 810890622 824538150 842861220 846146736 852022755 870956594 871925400 881402850 900989580 908824272 941679432 946691950 980916075 989445780 1004902200 1011433464 1022427306 1023564600 1046310480 1053576525 1057683420 1081187496 1099384200 1123814960 1126236975 1136030340 1137862647 1175203800 1177099290 1187334936 1201319440 1216335933 1236807225 1264291830 1269220104 1306434891 1307888100 1319261040 1322104275 1351484370 1363236408 1404768700 1410244560 1420037925 1484168670 1501649300 1514707120 1517150196 1533640959 1569465720 1586525130 1621781244 1649076300 1685722440 1704045510 1741913188 1743850800 1762805700 1801979160 1883358864 1893383900 1896437745 1961832150 1978891560 2009804400 2022866928 2027226555 2044854612 2047129200 2107153050 2115366840 2162374992 2177391485 2198768400 2252473950 2272060680 2275725294 2350407600 2354198580 2374669872 2432671866 2473614450 2528583660 2538440208 2556068265 2612869782 2615776200 2644208550 2702968740 2726472816 2809537400 2840075850 2942748225 2968337340 3003298600 3034300392 3067281918 3138931440 3160729575 3173050260 3243562488 3298152600 3371444880 3378710925 3408091020 3413587941 3483826376 3525611400 3603958320 3649007799 3710421675 3786767800 3792875490 3919304673 3923664300 3957783120 3966312825 4054453110 4089709224 4214306100 4230733680 4260113775 4354782970 4504947900 4544121360 4551450588 4600922877 4708397160 4865343732 4947228900 5057167320 5112136530 5225739564 5231552400 5288417100 5405937480 5619074800 5680151700 5689313235 5885496450 5936674680 6006597200 6068600784 6081679665 6134563836 6321459150 6346100520 6487124976 6532174455 6596305200 6757421850 6816182040 6827175882 6967652752 7051222800 7298015598 7420843350 7573535600 7585750980 7668204795 7838609346 7847328600 7932625650 8108906220 8179418448 8428612200 8520227550 8709565940 9009895800 9102901176 9201845754 9416794320 9482188725 9730687464 9894457800 10114334640 10136132775 10224273060 10451479128 10576834200 10811874960 10886957425 11360303400 11378626470 11757914019 11770992900 11873349360 12163359330 12269127672 12642918300 12692201040 12780341325 13064348910 13514843700 13632364080 13654351764 14596031196 14841686700 15171501960 15336409590 15677218692 15694657200 15865251300 16217812440 16857224400 17040455100 17067939705 17419131880 18019791600 18205802352 18245038995 18403691508 18964377450 19461374928 19596523365 19788915600 20272265550 20448546120 20902958256 21153668400 21773914850 22720606800 22757252940 23004614385 23515828038 23541985800 24326718660 24538255344 25285836600 25560682650 26128697820 27029687400 27308703528 28446566175 29192062392 29683373400 30343003920 30408398325 30672819180 31354437384 31730502600 32435624880 32660872275 34080910200 34135879410 34838263760 35273742057 36490077990 36807383016 37928754900 38341023975 39193046730 40544531100 40897092240 43547829700 45514505880 46009228770 47031656076 47083971600 48653437320 50571673200 51121365300 52257395640 54059374800 54617407056 56893132350 58384124784 58789570095 59366746800 60816796650 61345638360 62708874768 63461005200 65321744550 68161820400 68271758820 70547484114 72980155980 73614766032 75857509800 76682047950 78386093460 81089062200 85339698525 87095659400 91029011760 91225194975 92018457540 94063312152 97306874640 97982616825 102242730600 104514791280 105821226171 113786264700 115023071925 117579140190 121633593300 122691276720 130643489100 136543517640 141094968228 145960311960 151715019600 153364095900 156772186920 162178124400 170679397050 174191318800 176368710285 182450389950 184036915080 188126624304 195965233650 204485461200 211642452342 227572529400 230046143850 235158280380 243267186600 261286978200 273087035280 282189936456 291920623920 293947850475 306728191800 313544373840 341358794100 352737420570 364900779900 368073830160 391930467300 423284904684 455145058800 460092287700 470316560760 486534373200 522573956400 529106130855 564379872912 587895700950 613456383600 682717588200 705474841140 729801559800 783860934600 846569809368 881843551425 920184575400 940633121520 1058212261710 1175791401900 1365435176400 1410949682280 1459603119600 1567721869200 1693139618736 1763687102850 1840369150800 2116424523420 2351582803800 2645530654275 2821899364560 3527374205700 4232849046840 4703165607600 5291061308550 7054748411400 8465698093680 10582122617100 14109496822800 21164245234200 42328490468400
- Sum of all divisors σ(n): 169748855377920
- Sum of proper divisors (its aliquot sum) s(n): 127420364909520
- 42328490468400 is an abundant number, because the sum of its proper divisors (127420364909520) is greater than itself. Its abundance is 85091874441120
Bases of 42328490468400
- Binary: 10011001111111010111101010001101100100001100002
- Hexadecimal: 0x267F5EA36430
- Base-36: F05FUC300
Squares and roots of 42328490468400
- 42328490468400 squared (423284904684002) is 1791701105333429651398560000
- 42328490468400 cubed (423284904684003) is 75840003159327821403105881689485504000000
-
The
square root of 42328490468400 is 6506034.9267737565 -
The
cube root of 42328490468400 is 34850.6535624061
Scales and comparisons
How big is 42328490468400?- 42,328,490,468,400 seconds is equal to 1,345,915 years, 3 weeks, 3 days, 3 hours.
-
To count from 1 to 42,328,490,468,400 would take you about three million, three hundred sixty-four thousand, seven hundred eighty-seven 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 42328490468400 cubic inches would be around 2904.2 feet tall.
Recreational maths with 42328490468400
- 42328490468400 backwards is 00486409482324
- 42328490468400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42328490468400's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42328490468400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 42328490468400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42328490468400/
Chicago style:
Numbermatics. 2024. "Number 42328490468400 - Facts about the integer". https://numbermatics.com/n/42328490468400/
The information we have on file for 42328490468400 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 42328490468400, math, Factors of 42328490468400, curriculum, school, college, exams, university, Prime factorization of 42328490468400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, three hundred twenty-eight billion, four hundred ninety million, four hundred sixty-eight thousand, four hundred.