42128101728000
42,128,101,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42128101728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
42128101728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42128101728000:
28 × 33 × 53 × 19 × 37 × 43 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 37 × 43 × 1613)See below for interesting mathematical facts about the number 42128101728000 from the Numbermatics database.
Names of 42128101728000
- Cardinal: 42128101728000 can be written as Forty-two trillion, one hundred twenty-eight billion, one hundred one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2128101728 × 1013
Factors of 42128101728000
Divisors of 42128101728000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 37 38 40 43 45 48 50 54 57 60 64 72 74 75 76 80 86 90 95 96 100 108 111 114 120 125 128 129 135 144 148 150 152 160 171 172 180 185 190 192 200 215 216 222 225 228 240 250 256 258 270 285 288 296 300 304 320 333 342 344 360 370 375 380 384 387 400 430 432 444 450 456 475 480 500 513 516 540 555 570 576 592 600 608 640 645 666 675 684 688 703 720 740 750 760 768 774 800 817 855 860 864 888 900 912 925 950 960 999 1000 1026 1032 1075 1080 1110 1125 1140 1152 1161 1184 1200 1216 1280 1290 1332 1350 1368 1376 1406 1425 1440 1480 1500 1520 1548 1591 1600 1613 1634 1665 1710 1720 1728 1776 1800 1824 1850 1900 1920 1935 1998 2000 2052 2064 2109 2150 2160 2220 2250 2280 2304 2322 2368 2375 2400 2432 2451 2565 2580 2664 2700 2736 2752 2775 2812 2850 2880 2960 3000 3040 3096 3182 3200 3225 3226 3268 3330 3375 3420 3440 3456 3515 3552 3600 3648 3700 3800 3840 3870 3996 4000 4085 4104 4128 4218 4275 4300 4320 4440 4500 4560 4625 4644 4736 4750 4773 4800 4839 4864 4902 4995 5130 5160 5328 5375 5400 5472 5504 5550 5624 5700 5760 5805 5920 6000 6080 6192 6327 6364 6400 6450 6452 6536 6660 6750 6840 6880 6912 7030 7104 7125 7200 7296 7353 7400 7600 7740 7955 7992 8000 8065 8170 8208 8256 8325 8436 8550 8600 8640 8880 9000 9120 9250 9288 9472 9500 9546 9600 9675 9678 9804 9990 10260 10320 10545 10656 10750 10800 10944 11008 11100 11248 11400 11520 11610 11840 12000 12160 12255 12384 12654 12728 12825 12900 12904 13072 13320 13500 13680 13760 13875 14060 14208 14250 14319 14400 14517 14592 14706 14800 15200 15480 15910 15984 16000 16125 16130 16340 16416 16512 16650 16872 17100 17200 17280 17575 17760 18000 18240 18500 18576 18981 19000 19092 19200 19350 19356 19608 19980 20425 20520 20640 21090 21312 21375 21500 21600 21888 22059 22200 22496 22800 23220 23680 23865 24000 24195 24320 24510 24768 24975 25308 25456 25650 25800 25808 26144 26640 27000 27360 27520 27750 28120 28416 28500 28638 28800 29025 29034 29412 29600 30229 30400 30647 30960 31635 31820 31968 32000 32250 32260 32680 32832 33024 33300 33744 34200 34400 34560 35150 35520 36000 36480 36765 37000 37152 37962 38000 38184 38700 38712 39216 39775 39960 40325 40850 41040 41280 41625 42180 42624 42750 42957 43000 43200 43551 43776 44118 44400 44992 45600 46440 47360 47730 48000 48375 48390 49020 49536 49950 50616 50912 51300 51600 51616 52288 52725 53280 54000 54720 55040 55500 56240 57000 57276 57600 58050 58068 58824 59200 59681 60458 60800 61275 61294 61920 63270 63640 63936 64125 64500 64520 65360 65664 66600 67488 68400 68800 69359 70300 71040 71595 72000 72585 72960 73530 74000 74304 75924 76000 76368 77400 77424 78432 79550 79920 80650 81700 82080 82560 83250 84360 85248 85500 85914 86000 86400 87102 87875 88236 88800 89984 90687 91200 91941 92880 94905 95460 96000 96750 96780 98040 99072 99900 101232 101824 102125 102600 103200 103232 104576 105450 106560 108000 109440 110295 111000 112480 114000 114552 116100 116136 117648 118400 119325 119362 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21771628800 21941719650 22172685120 22771946880 23096547000 23404500960 23720778000 24379688500 24493082400 24636316800 25302163200 25782192000 26117856000 26330063580 26479008000 27214536000 27715856400 28085401152 28464933600 29255626200 29563580160 29963088000 30616353000 30795396000 31206001280 31627704000 32657443200 32912579475 34644820500 35106751440 35581167000 36286048000 36569532750 36954475200 37447201536 37953244800 39007501600 39188931840 40821804000 41060528000 42128101728 42170272000 43883439300 44345370240 45543893760 46193094000 46809001920 47441556000 48759377000 48986164800 49272633600 51564384000 52660127160 54429072000 54854299125 55431712800 56170802304 56929867200 58511252400 59926176000 61232706000 61590792000 62412002560 63255408000 65314886400 65825158950 69289641000 70213502880 71162334000 73139065500 73908950400 75906489600 78015003200 81643608000 82121056000 84256203456 87766878600 88690740480 92386188000 93618003840 94883112000 97518754000 97972329600 105320254320 108858144000 109708598250 110863425600 112341604608 113859734400 117022504800 122465412000 123181584000 126510816000 131650317900 138579282000 140427005760 142324668000 146278131000 147817900800 156030006400 163287216000 164562897375 168512406912 175533757200 184772376000 187236007680 189766224000 195037508000 195944659200 210640508640 219417196500 221726851200 227719468800 234045009600 244930824000 246363168000 263300635800 277158564000 280854011520 284649336000 292556262000 312060012800 326574432000 329125794750 337024813824 351067514400 369544752000 379532448000 390075016000 421281017280 438834393000 443453702400 468090019200 489861648000 526601271600 554317128000 561708023040 569298672000 585112524000 658251589500 702135028800 739089504000 780150032000 842562034560 877668786000 936180038400 979723296000 1053202543200 1108634256000 1138597344000 1170225048000 1316503179000 1404270057600 1560300064000 1685124069120 1755337572000 2106405086400 2217268512000 2340450096000 2633006358000 2808540115200 3510675144000 4212810172800 4680900192000 5266012716000 7021350288000 8425620345600 10532025432000 14042700576000 21064050864000 42128101728000
- Sum of all divisors σ(n): 172097788262400
- Sum of proper divisors (its aliquot sum) s(n): 129969686534400
- 42128101728000 is an abundant number, because the sum of its proper divisors (129969686534400) is greater than itself. Its abundance is 87841584806400
Bases of 42128101728000
- Binary: 10011001010000101101101000100111011111000000002
- Hexadecimal: 0x2650B689DF00
- Base-36: EXLDS1XC0
Squares and roots of 42128101728000
- 42128101728000 squared (421281017280002) is 1774776955204716585984000000
- 42128101728000 cubed (421281017280003) is 74767984113374399399742810980352000000000
-
The
square root of 42128101728000 is 6490616.4366722519 -
The
cube root of 42128101728000 is 34795.5706609907
Scales and comparisons
How big is 42128101728000?- 42,128,101,728,000 seconds is equal to 1,339,543 years, 16 weeks, 6 days.
-
To count from 1 to 42,128,101,728,000 would take you about three million, three hundred forty-eight thousand, eight hundred fifty-eight 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 42128101728000 cubic inches would be around 2899.6 feet tall.
Recreational maths with 42128101728000
- 42128101728000 backwards is 00082710182124
- 42128101728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42128101728000's digits is 36
- More coming soon!
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The information we have on file for 42128101728000 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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