42728788086400

Names of 42728788086400

• Cardinal: 42728788086400 can be written as Forty-two trillion, seven hundred twenty-eight billion, seven hundred eighty-eight million, eighty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.27287880864 × 10¹³

Factors of 42728788086400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4035

Divisors of 42728788086400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 80 100 104 106 128 130 160 169 200 208 212 260 265 320 325 338 400 416 421 424 520 530 640 650 676 689 800 832 842 845 848 1040 1060 1300 1325 1352 1378 1600 1664 1684 1690 1696 2080 2105 2120 2600 2650 2704 2756 3200 3368 3380 3392 3445 3541 4160 4210 4225 4240 5200 5300 5408 5473 5512 6736 6760 6784 6890 7082 8320 8420 8450 8480 8957 10400 10525 10600 10816 10946 11024 13472 13520 13780 14164 16840 16900 16960 17225 17705 17914 20800 21050 21200 21632 21892 22048 22313 26944 27040 27365 27560 28328 33680 33800 33920 34450 35410 35828 41600 42100 42400 43784 44096 44626 44785 46033 53888 54080 54730 55120 56656 67360 67600 68900 70820 71149 71656 84200 84800 87568 88192 88525 89252 89570 92066 108160 109460 110240 111565 113312 134720 135200 136825 137800 141640 142298 143312 168400 169600 175136 177050 178504 179140 184132 187673 218920 220480 223130 223925 226624 230165 269440 270400 273650 275600 283280 284596 286624 290069 336800 350272 354100 355745 357008 358280 368264 375346 437840 440960 446260 447850 453248 460330 540800 547300 551200 557825 566560 569192 573248 580138 598429 673600 700544 708200 711490 714016 716560 736528 750692 875680 892520 895700 920660 938365 1094600 1102400 1115650 1133120 1138384 1146496 1150825 1160276 1196858 1347200 1416400 1422980 1428032 1433120 1450345 1473056 1490761 1501384 1751360 1778725 1785040 1791400 1841320 1876730 2189200 2204800 2231300 2266240 2276768 2301650 2320552 2393716 2439749 2832800 2845960 2856064 2866240 2900690 2946112 2981522 2992145 3002768 3502720 3557450 3570080 3582800 3682640 3753460 3770897 4378400 4462600 4553536 4603300 4641104 4691825 4787432 4879498 5665600 5691920 5732480 5801380 5892224 5963044 5984290 6005536 7114900 7140160 7165600 7251725 7365280 7453805 7506920 7541794 8756800 8925200 9107072 9206600 9282208 9383650 9574864 9758996 11331200 11383840 11602760 11926088 11968580 12011072 12198745 14229800 14280320 14331200 14503450 14730560 14907610 14960725 15013840 15083588 17513600 17850400 18413200 18564416 18767300 18854485 19149728 19379893 19517992 22767680 23205520 23852176 23937160 24022144 24397490 28459600 28662400 29006900 29461120 29815220 29921450 30027680 30167176 31716737 35700800 36826400 37128832 37269025 37534600 37708970 38299456 38759786 39035984 45535360 46411040 47704352 47874320 48794980 56919200 58013800 59630440 59842900 60055360 60334352 60993725 63433474 71401600 73652800 74538050 75069200 75417940 76598912 77519572 78071968 79010333 92822080 94272425 95408704 95748640 96899465 97589960 113838400 116027600 119260880 119685800 120110720 120668704 121987450 126866948 147305600 149076100 150138400 150835880 155039144 156143936 158020666 158583685 185644160 188544850 190817408 191497280 193798930 195179920 227676800 232055200 238521760 239371600 241337408 243974900 251938609 253733896 298152200 300276800 301671760 310078288 312287872 316041332 317167370 377089700 382994560 387597860 390359840 395051665 464110400 477043520 478743200 482674816 484497325 487949800 503877218 507467792 596304400 600553600 603343520 620156576 632082664 634334740 754179400 775195720 780719680 790103330 792918425 928220800 954087040 957486400 968994650 975899600 1007754436 1014935584 1027134329 1192608800 1206687040 1240313152 1259693045 1264165328 1268669480 1508358800 1550391440 1561439360 1580206660 1585836850 1914972800 1937989300 1951799200 1975258325 2015508872 2029871168 2054268658 2385217600 2413374080 2480626304 2519386090 2528330656 2537338960 3016717600 3100782880 3160413320 3171673700 3875978600 3903598400 3950516650 4031017744 4059742336 4108537316 4770435200 5038772180 5056661312 5074677920 5135671645 6033435200 6201565760 6298465225 6320826640 6343347400 7751957200 7807196800 7901033300 8062035488 8217074632 10077544360 10113322624 10149355840 10271343290 12066870400 12403131520 12596930450 12641653280 12686694800 13352746277 15503914400 15802066600 16124070976 16434149264 20155088720 20298711680 20542686580 25193860900 25283306560 25373389600 25678358225 26705492554 31007828800 31604133200 32248141952 32868298528 40310177440 41085373160 50387721800 50566613120 50746779200 51356716450 53410985108 62015657600 63208266400 65736597056 66763731385 80620354880 82170746320 100775443600 101493558400 102713432900 106821970216 126416532800 131473194112 133527462770 161240709760 164341492640 201550887200 205426865800 213643940432 252833065600 267054925540 328682985280 333818656925 403101774400 410853731600 427287880864 534109851080 657365970560 667637313850 806203548800 821707463200 854575761728 1068219702160 1335274627700 1643414926400 1709151523456 2136439404320 2670549255400 3286829852800 4272878808640 5341098510800 8545757617280 10682197021600 21364394043200 42728788086400
• Sum of all divisors σ(n): 116763668600040
• Sum of proper divisors (its aliquot sum) s(n): 74034880513640
• 42728788086400 is an abundant number, because the sum of its proper divisors (74034880513640) is greater than itself. Its abundance is 31306092427240

Bases of 42728788086400

• Binary: 1001101101110010010010001111000100111010000000₂
• Hexadecimal: 0x26DC923C4E80
• Base-36: F59C179TS

Squares and roots of 42728788086400

• 42728788086400 squared (42728788086400²) is 1825749331332478573864960000
• 42728788086400 cubed (42728788086400³) is 78012056277391976724344365250412544000000
• The square root of 42728788086400 is 6536726.0984685599
• The cube root of 42728788086400 is 34960.1691339627

Scales and comparisons

• 42,728,788,086,400 seconds is equal to 1,358,643 years, 15 weeks, 1 day, 9 hours, 46 minutes, 40 seconds.
• To count from 1 to 42,728,788,086,400 would take you about three million, three hundred ninety-six thousand, six hundred 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 42728788086400 cubic inches would be around 2913.3 feet tall.

Recreational maths with 42728788086400

• 42728788086400 backwards is 00468088782724
• 42728788086400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42728788086400's digits is 64
• More coming soon!