42438199369728000
42,438,199,369,728,000 is an even composite number composed of eight prime numbers multiplied together.
42438199369728000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, three hundred fifty-two divisors.
Prime factorization of 42438199369728000:
216 × 3 × 53 × 19 × 37 × 41 × 181 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 37 × 41 × 181 × 331)See below for interesting mathematical facts about the number 42438199369728000 from the Numbermatics database.
Names of 42438199369728000
- Cardinal: 42438199369728000 can be written as Forty-two quadrillion, four hundred thirty-eight trillion, one hundred ninety-nine billion, three hundred sixty-nine million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2438199369728 × 1016
Factors of 42438199369728000
Divisors of 42438199369728000
- Number of divisors d(n): 4352
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 37 38 40 41 48 50 57 60 64 74 75 76 80 82 95 96 100 111 114 120 123 125 128 148 150 152 160 164 181 185 190 192 200 205 222 228 240 246 250 256 285 296 300 304 320 328 331 362 370 375 380 384 400 410 444 456 475 480 492 500 512 543 555 570 592 600 608 615 640 656 662 703 724 740 750 760 768 779 800 820 888 905 912 925 950 960 984 993 1000 1024 1025 1086 1110 1140 1184 1200 1216 1230 1280 1312 1324 1406 1425 1448 1480 1500 1517 1520 1536 1558 1600 1640 1655 1776 1810 1824 1850 1900 1920 1968 1986 2000 2048 2050 2109 2172 2220 2280 2337 2368 2375 2400 2432 2460 2560 2624 2648 2715 2775 2812 2850 2896 2960 3000 3034 3040 3072 3075 3116 3200 3280 3310 3439 3515 3552 3620 3648 3700 3800 3840 3895 3936 3972 4000 4096 4100 4218 4344 4440 4525 4551 4560 4625 4674 4736 4750 4800 4864 4920 4965 5120 5125 5248 5296 5430 5550 5624 5700 5792 5920 6000 6068 6080 6144 6150 6232 6289 6400 6560 6620 6697 6878 7030 7104 7125 7240 7296 7400 7421 7585 7600 7680 7790 7872 7944 8000 8192 8200 8275 8436 8688 8880 9050 9102 9120 9250 9348 9472 9500 9600 9728 9840 9930 10240 10250 10317 10496 10545 10592 10860 11100 11248 11400 11584 11685 11840 12000 12136 12160 12247 12288 12300 12464 12578 12800 13120 13240 13394 13571 13575 13756 13875 14060 14208 14250 14480 14592 14800 14842 15170 15200 15360 15375 15580 15744 15888 16000 16384 16400 16550 16872 17195 17376 17575 17760 18100 18204 18240 18500 18696 18867 18944 19000 19200 19456 19475 19680 19860 20091 20480 20500 20634 20992 21090 21184 21720 22200 22263 22496 22625 22755 22800 23168 23370 23680 24000 24272 24320 24494 24576 24600 24825 24928 25156 25600 26240 26480 26788 27142 27150 27512 27750 28120 28416 28500 28823 28960 29184 29600 29684 30340 30400 30720 30750 31160 31445 31488 31776 32000 32768 32800 33100 33485 33744 34390 34752 35150 35520 36200 36408 36480 36741 37000 37105 37392 37734 37888 37925 38000 38400 38912 38950 39360 39720 40182 40713 40960 41000 41268 41375 41984 42180 42368 43440 44400 44526 44992 45250 45510 45600 46336 46740 47360 48000 48544 48640 48988 49152 49200 49650 49856 50312 51200 51585 52480 52725 52960 53576 54284 54300 55024 55500 56240 56832 57000 57646 57920 58368 58425 59200 59368 59911 60680 60800 61235 61440 61500 62320 62890 62976 63552 64000 65536 65600 66200 66970 67488 67855 67875 68780 69504 70300 71040 72400 72816 72960 73482 74000 74210 74784 75468 75776 75850 76000 76800 77824 77900 78720 79440 80364 81426 81920 82000 82536 82750 83968 84360 84736 85975 86469 86880 87875 88800 89052 89984 90500 91020 91200 92672 93480 94335 94720 96000 97088 97280 97375 97976 98304 98400 99300 99712 100455 100624 102400 103170 104960 105450 105920 107152 108568 108600 110048 111000 111315 112480 113664 113775 114000 115292 115840 116736 116850 118400 118736 119822 121360 121600 122470 122880 123000 124125 124640 125780 125952 127104 127243 128000 131200 132400 133940 134976 135710 135750 137560 139008 140600 140999 142080 144115 144800 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35365166141440 35843073792000 37226490675200 38232612044800 39077531648000 41403121336320 41443554072000 42438199369728 42737360896000 43128251392000 44206457676800 44671788810240 45879134453760 46533113344000 46893037977600 47790765056000 51753901670400 53047749212160 54477791232000 55258072096000 55839736012800 56584265826304 57348918067200 58616297472000 60367282176000 64106041344000 64692377088000 66309686515200 69005202227200 69799670016000 70730332282880 71686147584000 74452981350400 76465224089600 78155063296000 82887108144000 84876398739456 86256502784000 88412915353600 89343577620480 93066226688000 95581530112000 103507803340800 106095498424320 110516144192000 111679472025600 113168531652608 114697836134400 117232594944000 128212082688000 129384754176000 132619373030400 139599340032000 141460664565760 143372295168000 148905962700800 165774216288000 169752797478912 172513005568000 176825830707200 186132453376000 191163060224000 207015606681600 212190996848640 221032288384000 223358944051200 229395672268800 234465189888000 258769508352000 265238746060800 279198680064000 282921329131520 286744590336000 331548432576000 339505594957824 345026011136000 353651661414400 372264906752000 382326120448000 424381993697280 442064576768000 446717888102400 517539016704000 530477492121600 558397360128000 565842658263040 573489180672000 663096865152000 707303322828800 744529813504000 848763987394560 884129153536000 1035078033408000 1060954984243200 1116794720256000 1146978361344000 1326193730304000 1414606645657600 1697527974789120 1768258307072000 2121909968486400 2233589440512000 2652387460608000 2829213291315200 3536516614144000 4243819936972800 5304774921216000 7073033228288000 8487639873945600 10609549842432000 14146066456576000 21219099684864000 42438199369728000
- Sum of all divisors σ(n): 157747889270200320
- Sum of proper divisors (its aliquot sum) s(n): 115309689900472320
- 42438199369728000 is an abundant number, because the sum of its proper divisors (115309689900472320) is greater than itself. Its abundance is 72871490530744320
Bases of 42438199369728000
- Binary: 100101101100010101010001010001100101011100000000000000002
- Hexadecimal: 0x96C55146570000
- Base-36: BLV33NAWD1C
Squares and roots of 42438199369728000
- 42438199369728000 squared (424381993697280002) is 1801000765744782016442793984000000
- 42438199369728000 cubed (424381993697280003) is 76431229561709853542707328584356150116352000000000
-
The
square root of 42438199369728000 is 206005338.2068726879 -
The
cube root of 42438199369728000 is 348807.3675519215
Scales and comparisons
How big is 42438199369728000?- 42,438,199,369,728,000 seconds is equal to 1,349,403,469 years, 51 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 42,438,199,369,728,000 would take you about four billion, forty-eight million, two hundred ten thousand, four hundred nine 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 42438199369728000 cubic inches would be around 29067.3 feet tall.
Recreational maths with 42438199369728000
- 42438199369728000 backwards is 00082796399183424
- 42438199369728000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42438199369728000's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 42438199369728000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 42438199369728000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/42438199369728000/
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The information we have on file for 42438199369728000 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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