42828378054400
42,828,378,054,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42828378054400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
42828378054400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42828378054400:
28 × 52 × 312 × 37 × 532 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 37 × 53 × 53 × 67)See below for interesting mathematical facts about the number 42828378054400 from the Numbermatics database.
Names of 42828378054400
- Cardinal: 42828378054400 can be written as Forty-two trillion, eight hundred twenty-eight billion, three hundred seventy-eight million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.28283780544 × 1013
Factors of 42828378054400
Divisors of 42828378054400
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 37 40 50 53 62 64 67 74 80 100 106 124 128 134 148 155 160 185 200 212 248 256 265 268 296 310 320 335 370 400 424 496 530 536 592 620 640 670 740 775 800 848 925 961 992 1060 1072 1147 1184 1240 1280 1325 1340 1480 1550 1600 1643 1675 1696 1850 1922 1961 1984 2077 2120 2144 2294 2368 2479 2480 2650 2680 2809 2960 3100 3200 3286 3350 3392 3551 3700 3844 3922 3968 4154 4240 4288 4588 4736 4805 4958 4960 5300 5360 5618 5735 5920 6200 6400 6572 6700 6784 7102 7400 7688 7844 7936 8215 8308 8480 8576 9176 9472 9610 9805 9916 9920 10385 10600 10720 11236 11470 11840 12395 12400 13144 13400 13568 14045 14204 14800 15376 15688 16430 16616 16960 17152 17755 18352 19220 19610 19832 19840 20770 21200 21440 22472 22940 23680 24025 24790 24800 26288 26800 28090 28408 28675 29600 30752 31376 32860 33232 33920 35510 35557 36704 38440 39220 39664 39680 41075 41540 42400 42880 44944 45880 47360 48050 49025 49580 49600 50933 51925 52576 53600 56180 56816 57350 59200 60791 61504 61975 62752 64387 65720 66464 67840 70225 71020 71114 73408 76849 76880 78440 79328 82150 83080 84800 85760 87079 88775 89888 91760 96100 98050 99160 99200 101866 103850 103933 105152 107200 110081 112360 113632 114700 118400 121582 123008 123950 125504 128774 131387 131440 132928 140450 142040 142228 146816 153698 153760 156880 158656 164300 166160 169600 174158 177550 177785 179776 183520 188203 192200 196100 198320 198400 203732 207700 207866 210304 214400 220162 224720 227264 229400 236800 243164 246016 247900 251008 254665 257548 262774 262880 265856 280900 284080 284456 293632 303955 307396 307520 313760 317312 321935 328600 332320 339200 348316 355100 355570 359552 367040 376406 384245 384400 392200 396640 407464 415400 415732 420608 428800 435395 440324 449440 454528 458800 486328 495800 502016 509330 515096 519665 525548 525760 531712 550405 561800 568160 568912 607910 614792 615040 627520 634624 643870 656935 657200 664640 696632 710200 711140 719104 734080 752812 768490 768800 784400 793280 814928 830800 831464 870790 880648 888925 898880 909056 917600 941015 972656 991600 1018660 1030192 1039330 1051096 1051520 1100810 1123600 1136320 1137824 1215820 1229584 1230080 1255040 1273325 1287740 1313870 1314400 1329280 1393264 1420400 1422280 1468160 1505624 1519775 1536980 1537600 1568800 1586560 1609675 1629856 1661600 1662928 1741580 1761296 1777850 1797760 1835200 1882030 1884521 1921225 1945312 1983200 2037320 2060384 2078660 2102192 2103040 2176975 2201620 2247200 2272640 2275648 2382319 2431640 2459168 2510080 2546650 2575480 2598325 2627740 2628800 2658560 2699449 2752025 2786528 2840800 2844560 3011248 3039550 3073960 3075200 3137600 3173120 3219350 3221923 3259712 3284675 3323200 3325856 3412511 3483160 3522592 3555700 3595520 3670400 3764060 3769042 3842450 3890624 3966400 4072997 4074640 4120768 4157320 4204384 4353950 4403240 4494400 4545280 4551296 4705075 4764638 4863280 4918336 5093300 5150960 5196650 5255480 5257600 5398898 5504050 5573056 5681600 5689120 5834293 6022496 6079100 6147920 6150400 6275200 6438700 6443846 6519424 6569350 6646400 6651712 6825022 6963511 6966320 7045184 7111400 7340800 7528120 7538084 7684900 7781248 7932800 8145994 8149280 8241536 8314640 8408768 8707900 8806480 8988800 9102592 9410150 9422605 9529276 9726560 9836672 10186600 10301920 10393300 10510960 10515200 10797796 11008100 11146112 11363200 11378240 11668586 11911595 12044992 12158200 12295840 12550400 12877400 12887692 13038848 13138700 13292800 13303424 13497245 13650044 13927022 13932640 14090368 14222800 15056240 15076168 15369800 15562496 15865600 16109615 16291988 16298560 16483072 16629280 16817536 17062555 17415800 17612960 17977600 18820300 18845210 19058552 19453120 19673344 20364985 20373200 20603840 20786600 21021920 21595592 22016200 22292224 22726400 22756480 23337172 23823190 24089984 24316400 24591680 25754800 25775384 26277400 26606848 26994490 27300088 27854044 27865280 28180736 28445600 29171465 30112480 30152336 30739600 32219230 32583976 32597120 33258560 33635072 34125110 34817555 34831600 35225920 37640600 37690420 38117104 38906240 40729970 40746400 41207680 41573200 42043840 43191184 44032400 45512960 46674344 47113025 47646380 48179968 48632800 49183360 51509600 51550768 52554800 53988980 54600176 55708088 55730560 56891200 58342930 59557975 60224960 60304672 61479200 64438460 65167952 65194240 66517120 67486225 68250220 69635110 69663200 70451840 75281200 75380840 76234208 77812480 80548075 81459940 81492800 82415360 83146400 84087680 85312775 86382368 88064800 93348688 94226050 95292760 97265600 98366720 99879613 101824925 103019200 103101536 105109600 107977960 109200352 111416176 111461120 113782400 116685860 119115950 120449920 120609344 122958400 126262907 128876920 130335904 133034240 134972450 136500440 139270220 139326400 140903680 145857325 150562400 150761680 152468416 161096150 162919880 162985600 166292800 168175360 170625550 172764736 174087775 176129600 180863083 186697376 188452100 190585520 194531200 199759226 203649850 206038400 206203072 210219200 215868841 215955920 218400704 222832352 227564800 233371720 238231900 240899840 241218688 245916800 252525814 257753840 260671808 269944900 273000880 278540440 278652800 291714650 301124800 301523360 304936832 322192300 325839760 325971200 332585600 341251100 345529472 348175550 352259200 361726166 373394752 376904200 381171040 389062400 399518452 407299700 412076800 412406144 420438400 431737682 431911840 436801408 445664704 466743440 476463800 482437376 491833600 499398065 505051628 515507680 521343616 539889800 546001760 557080880 557305600 583429300 602249600 603046720 609873664 631314535 644384600 651679520 665171200 682502200 691058944 696351100 704518400 723452332 746789504 753808400 762342080 799036904 814599400 824812288 840876800 863475364 863823680 873602816 891329408 904315415 933486880 952927600 998796130 1010103256 1031015360 1042687232 1079344205 1079779600 1092003520 1114161760 1166858600 1204499200 1206093440 1262629070 1288769200 1303359040 1365004400 1392702200 1446904664 1493579008 1507616800 1524684160 1598073808 1629198800 1726950728 1727647360 1782658816 1808630830 1866973760 1905855200 1997592260 2020206512 2062030720 2158688410 2159559200 2184007040 2228323520 2333717200 2412186880 2496990325 2525258140 2577538400 2606718080 2730008800 2785404400 2893809328 3015233600 3049368320 3156572675 3196147616 3258397600 3453901456 3455294720 3617261660 3733947520 3811710400 3995184520 4040413024 4124061440 4317376820 4319118400 4368014080 4456647040 4521577075 4667434400 4993980650 5050516280 5155076800 5213436160 5396721025 5460017600 5570808800 5787618656 6030467200 6313145350 6392295232 6516795200 6691934071 6907802912 7234523320 7467895040 7623420800 7990369040 8080826048 8634753640 8638236800 8913294080 9043154150 9334868800 9987961300 10101032560 10310153600 10793442050 10920035200 11141617600 11575237312 12060934400 12626290700 12784590464 13033590400 13383868142 13815605824 14469046640 15246841600 15980738080 16161652096 17269507280 17276473600 18086308300 18669737600 19975922600 20202065120 20620307200 21586884100 21840070400 22283235200 23150474624 25252581400 25569180928 26067180800 26767736284 27631211648 28938093280 31961476160 32323304192 33459670355 34539014560 36172616600 37339475200 39951845200 40404130240 43173768200 44566470400 46300949248 50505162800 53535472568 55262423296 57876186560 63922952320 66919340710 69078029120 72345233200 79903690400 80808260480 86347536400 101010325600 107070945136 115752373120 127845904640 133838681420 138156058240 144690466400 159807380800 161616520960 167298351775 172695072800 202020651200 214141890272 231504746240 267677362840 276312116480 289380932800 319614761600 334596703550 345390145600 404041302400 428283780544 535354725680 578761865600 639229523200 669193407100 690780291200 808082604800 856567561088 1070709451360 1157523731200 1338386814200 1381560582400 1713135122176 2141418902720 2676773628400 4282837805440 5353547256800 8565675610880 10707094513600 21414189027200 42828378054400
- Sum of all divisors σ(n): 116371250133096
- Sum of proper divisors (its aliquot sum) s(n): 73542872078696
- 42828378054400 is an abundant number, because the sum of its proper divisors (73542872078696) is greater than itself. Its abundance is 30714494024296
Bases of 42828378054400
- Binary: 10011011110011110000100100001010011111000000002
- Hexadecimal: 0x26F3C2429F00
- Base-36: F6J32HWXS
Squares and roots of 42828378054400
- 42828378054400 squared (428283780544002) is 1834269966770611529359360000
- 42828378054400 cubed (428283780544003) is 78558807590683476062882035115229184000000
-
The
square root of 42828378054400 is 6544339.3902211399 -
The
cube root of 42828378054400 is 34987.3091552115
Scales and comparisons
How big is 42828378054400?- 42,828,378,054,400 seconds is equal to 1,361,809 years, 49 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 42,828,378,054,400 would take you about three million, four hundred four thousand, five hundred twenty-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 42828378054400 cubic inches would be around 2915.6 feet tall.
Recreational maths with 42828378054400
- 42828378054400 backwards is 00445087382824
- The number of decimal digits it has is: 14
- The sum of 42828378054400's digits is 55
- More coming soon!
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The information we have on file for 42828378054400 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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