428029438678400
428,029,438,678,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 428029438678400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
428029438678400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428029438678400:
27 × 52 × 13 × 17 × 19 × 3173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 17 × 19 × 317 × 317 × 317)See below for interesting mathematical facts about the number 428029438678400 from the Numbermatics database.
Names of 428029438678400
- Cardinal: 428029438678400 can be written as Four hundred twenty-eight trillion, twenty-nine billion, four hundred thirty-eight million, six hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.280294386784 × 1014
Factors of 428029438678400
Divisors of 428029438678400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 64 65 68 76 80 85 95 100 104 128 130 136 152 160 170 190 200 208 221 247 260 272 304 317 320 323 325 340 380 400 416 425 442 475 494 520 544 608 634 640 646 650 680 760 800 832 850 884 950 988 1040 1088 1105 1216 1235 1268 1292 1300 1360 1520 1585 1600 1615 1664 1700 1768 1900 1976 2080 2176 2210 2432 2470 2536 2584 2600 2720 3040 3170 3200 3230 3400 3536 3800 3952 4121 4160 4199 4420 4940 5072 5168 5200 5389 5440 5525 6023 6080 6175 6340 6460 6800 7072 7600 7904 7925 8075 8242 8320 8398 8840 9880 10144 10336 10400 10778 10880 11050 12046 12160 12350 12680 12920 13600 14144 15200 15808 15850 16150 16484 16796 17680 19760 20288 20605 20672 20800 20995 21556 22100 24092 24700 25360 25840 26945 27200 28288 30115 30400 31616 31700 32300 32968 33592 35360 39520 40576 41210 41344 41600 41990 43112 44200 48184 49400 50720 51680 53890 54400 60230 60800 63400 64600 65936 67184 70057 70720 78299 79040 82420 83980 86224 88400 96368 98800 100489 101440 102391 103025 103360 104975 107780 120460 126800 129200 131872 134368 134725 140114 141440 150575 156598 158080 164840 167960 172448 176800 192736 197600 200978 202880 204782 206050 206720 209950 215560 240920 253600 258400 263744 268736 269450 280228 301150 313196 329680 335920 344896 350285 353600 385472 391495 395200 401956 409564 412100 419900 431120 481840 502445 507200 511955 516800 527488 537472 538900 560456 602300 626392 659360 671840 689792 700570 707200 770944 782990 790400 803912 819128 824200 839800 862240 963680 1004890 1014400 1023910 1033600 1077800 1120912 1204600 1252784 1306357 1318720 1331083 1343680 1401140 1565980 1607824 1638256 1648400 1679600 1708313 1724480 1751425 1909291 1927360 1957475 2009780 2047820 2155600 2241824 2409200 2505568 2512225 2559775 2612714 2637440 2662166 2687360 2802280 3131960 3215648 3276512 3296800 3359200 3416626 3448960 3502850 3818582 3854720 3914950 4019560 4095640 4311200 4483648 4818400 5011136 5024450 5119550 5225428 5324332 5604560 6263920 6431296 6531785 6553024 6593600 6655415 6718400 6833252 7005700 7637164 7829900 8039120 8191280 8541565 8622400 8967296 9546455 9636800 10022272 10048900 10239100 10450856 10648664 11209120 12527840 12862592 13063570 13106048 13187200 13310830 13436800 13666504 14011400 15274328 15659800 16078240 16382560 17083130 17244800 19092910 19273600 20097800 20478200 20901712 21297328 22208069 22418240 24820783 25055680 26127140 26621660 27333008 28022800 30548656 31319600 31855013 32156480 32457947 32658925 32765120 33277075 34166260 38185820 40195600 40956400 41803424 42594656 42707825 44416138 44836480 47732275 49641566 50111360 52254280 53243320 54666016 56045600 61097312 62639200 63710026 64312960 64915894 65317850 65530240 66554150 68332520 76371640 80391200 81912800 83606848 85189312 85415650 88832276 95464550 99283132 104508560 106486640 109332032 111040345 112091200 122194624 124103915 125278400 127420052 129831788 130635700 133108300 136665040 152743280 159275065 160782400 162289735 163825600 167213696 170378624 170831300 177664552 190929100 198566264 209017120 212973280 218664064 222080690 224182400 244389248 248207830 250556800 254840104 259663576 261271400 266216600 273330080 305486560 318550130 321564800 324579470 327651200 341662600 355329104 381858200 397132528 414115169 418034240 421953311 425946560 444161380 496415660 509680208 519327152 522542800 532433200 541535221 546660160 555201725 605245247 610973120 620519575 637100260 649158940 683325200 710658208 763716400 794265056 796375325 811448675 828230338 836068480 843906622 851893120 888322760 992831320 1019360416 1038654304 1045085600 1064866400 1083070442 1093320320 1110403450 1210490494 1221946240 1241039150 1274200520 1298317880 1366650400 1421316416 1527432800 1588530112 1592750650 1622897350 1656460676 1687813244 1776645520 1985662640 2038720832 2070575845 2077308608 2090171200 2109766555 2129732800 2166140884 2220806900 2420980988 2482078300 2548401040 2596635760 2707676105 2733300800 2842632832 3026226235 3054865600 3177060224 3185501300 3245794700 3312921352 3375626488 3553291040 3971325280 4077441664 4141151690 4154617216 4180342400 4219533110 4259465600 4332281768 4441613800 4841961976 4964156600 5096802080 5193271520 5415352210 5466601600 6052452470 6109731200 6371002600 6491589400 6625842704 6751252976 7039957873 7106582080 7868188211 7942650560 8282303380 8439066220 8664563536 8883227600 9683923952 9928313200 10193604160 10289169199 10352879225 10386543040 10548832775 10830704420 12104904940 12742005200 12983178800 13251685408 13502505952 13538380525 14079915746 14213164160 15131131175 15736376422 15885301120 16564606760 16878132440 17329127072 17766455200 19367847904 19856626400 20387208320 20578338398 20705758450 20773086080 21097665550 21661408840 24209809880 25484010400 25966357600 26503370816 27005011904 27076761050 28159831492 30262262350 31472752844 33129213520 33756264880 34658254144 35199789365 35532910400 38735695808 39340941055 39713252800 41156676796 41411516900 42195331100 43322817680 48419619760 50968020800 51445845995 51932715200 53006741632 54010023808 54153522100 56319662984 60524524700 62945505688 66258427040 67512529760 69316508288 70399578730 71065820800 77471391616 78681882110 79426505600 82313353592 82823033800 84390662200 86645635360 96839239520 101936041600 102891691990 103865430400 108307044200 112639325968 121049049400 125891011376 132516854080 133759199587 135025059520 140799157460 157363764220 164626707184 165646067600 168781324400 173291270720 175998946825 193678479040 196704705275 205783383980 216614088400 225278651936 242098098800 251782022752 257229229975 265033708160 267518399174 270050119040 281598314920 314727528440 329253414368 331292135200 337562648800 346582541440 351997893650 387356958080 393409410550 411566767960 433228176800 450557303872 484196197600 503564045504 514458459950 535036798348 563196629840 629455056880 658506828736 662584270400 668795997935 675125297600 703995787300 786818821100 823133535920 866456353600 901114607744 968392395200 1007128091008 1028916919900 1070073596696 1126393259680 1258910113760 1317013657472 1325168540800 1337591995870 1350250595200 1407991574600 1573637642200 1646267071840 1732912707200 1936784790400 2057833839800 2140147193392 2252786519360 2517820227520 2675183991740 2815983149200 3147275284400 3292534143680 3343979989675 4115667679600 4280294386784 4505573038720 5035640455040 5350367983480 5631966298400 6294550568800 6585068287360 6687959979350 8231335359200 8560588773568 10700735966960 11263932596800 12589101137600 13375919958700 16462670718400 17121177547136 21401471933920 22527865193600 25178202275200 26751839917400 32925341436800 42802943867840 53503679834800 85605887735680 107007359669600 214014719339200 428029438678400
- Sum of all divisors σ(n): 1273158215784000
- Sum of proper divisors (its aliquot sum) s(n): 845128777105600
- 428029438678400 is an abundant number, because the sum of its proper divisors (845128777105600) is greater than itself. Its abundance is 417099338427200
Bases of 428029438678400
- Binary: 11000010101001010010111101010010101010101100000002
- Hexadecimal: 0x1854A5EA55580
- Base-36: 47Q20CE9VK
Squares and roots of 428029438678400
- 428029438678400 squared (4280294386784002) is 183209200375346185938626560000
- 428029438678400 cubed (4280294386784003) is 78418931197377938557388681509437538304000000
-
The
square root of 428029438678400 is 20688872.3394582335 -
The
cube root of 428029438678400 is 75362.9482250989
Scales and comparisons
How big is 428029438678400?- 428,029,438,678,400 seconds is equal to 13,610,012 years, 8 weeks, 5 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,029,438,678,400 would take you about thirty-four million, twenty-five thousand and 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 428029438678400 cubic inches would be around 6280.2 feet tall.
Recreational maths with 428029438678400
- 428029438678400 backwards is 004876834920824
- 428029438678400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428029438678400's digits is 65
- More coming soon!
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The information we have on file for 428029438678400 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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