42090048092400
42,090,048,092,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42090048092400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
42090048092400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42090048092400:
24 × 3 × 52 × 7 × 11 × 53 × 61 × 140897
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 53 × 61 × 140897)See below for interesting mathematical facts about the number 42090048092400 from the Numbermatics database.
Names of 42090048092400
- Cardinal: 42090048092400 can be written as Forty-two trillion, ninety billion, forty-eight million, ninety-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.20900480924 × 1013
Factors of 42090048092400
Divisors of 42090048092400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 33 35 40 42 44 48 50 53 55 56 60 61 66 70 75 77 80 84 88 100 105 106 110 112 120 122 132 140 150 154 159 165 168 175 176 183 200 210 212 220 231 240 244 264 265 275 280 300 305 308 318 330 336 350 366 371 385 400 420 424 427 440 462 488 525 528 530 550 560 583 600 610 616 636 660 671 700 732 742 770 795 825 840 848 854 880 915 924 976 1050 1060 1100 1113 1155 1166 1200 1220 1232 1272 1281 1320 1325 1342 1400 1464 1484 1525 1540 1590 1650 1680 1708 1749 1830 1848 1855 1925 2013 2100 2120 2135 2200 2226 2310 2332 2440 2544 2562 2640 2650 2684 2800 2915 2928 2968 3050 3080 3180 3233 3300 3355 3416 3498 3660 3696 3710 3850 3975 4026 4081 4200 4240 4270 4400 4452 4575 4620 4664 4697 4880 5124 5300 5368 5565 5775 5830 5936 6100 6160 6360 6405 6466 6600 6710 6832 6996 7320 7420 7700 7950 8052 8162 8400 8540 8745 8904 9150 9240 9275 9328 9394 9699 10065 10248 10600 10675 10736 11130 11550 11660 12200 12243 12720 12810 12932 13200 13420 13992 14091 14575 14640 14840 15400 15900 16104 16165 16324 16775 17080 17490 17808 18300 18480 18550 18788 19398 20130 20405 20496 21200 21350 22260 22631 23100 23320 23485 24400 24486 25620 25864 26840 27825 27984 28182 29150 29680 30800 31800 32025 32208 32330 32648 33550 34160 34980 35563 36600 37100 37576 38796 40260 40810 42700 43725 44520 45262 46200 46640 46970 48495 48972 50325 51240 51728 53680 55650 56364 58300 61215 63600 64050 64660 65296 67100 67893 69960 70455 71126 73200 74200 75152 77592 80520 80825 81620 85400 87450 89040 90524 92400 93940 96990 97944 100650 102025 102480 106689 111300 112728 113155 116600 117425 122430 128100 129320 134200 135786 139920 140897 140910 142252 148400 155184 161040 161650 163240 170800 174900 177815 181048 187880 193980 195888 201300 204050 213378 222600 225456 226310 233200 234850 242475 244860 248941 256200 258640 268400 271572 281794 281820 284504 306075 323300 326480 339465 349800 352275 355630 362096 375760 387960 402600 408100 422691 426756 445200 452620 469700 484950 489720 497882 512400 533445 543144 563588 563640 565775 569008 612150 646600 678930 699600 704485 704550 711260 746823 775920 805200 816200 845382 853512 889075 905240 939400 969900 979440 986279 995764 1066890 1086288 1127176 1127280 1131550 1224300 1244705 1293200 1357860 1408970 1409100 1422520 1493646 1549867 1632400 1690764 1697325 1707024 1778150 1810480 1878800 1939800 1972558 1991528 2113455 2133780 2254352 2263100 2448600 2489410 2667225 2715720 2817940 2818200 2845040 2958837 2987292 3099734 3381528 3394650 3522425 3556300 3734115 3879600 3945116 3983056 4226910 4267560 4526200 4649601 4897200 4931395 4978820 5334450 5431440 5635880 5636400 5917674 5974584 6199468 6223525 6763056 6789300 7044850 7112600 7467541 7468230 7749335 7890232 8453820 8535120 8594717 9052400 9299202 9862790 9957640 10567275 10668900 10849069 11271760 11835348 11949168 12398936 12447050 13578600 14089700 14225200 14794185 14935082 14936460 15498670 15780464 16907640 17189434 18598404 18670575 19725580 19915280 21134550 21337800 21698138 22402623 23248005 23670696 24656975 24797872 24894100 25784151 27157200 28179400 29588370 29870164 29872920 30997340 32547207 33815280 34378868 37196808 37337705 37341150 38746675 39451160 42269100 42675600 42973585 43396276 44805246 46496010 47341392 49313950 49788200 51568302 52272787 54245345 56358800 59176740 59740328 59745840 60163019 61994680 65094414 68757736 73970925 74393616 74675410 74682300 77493350 78902320 82142951 84538200 85947170 86792552 89610492 92992020 94541887 98627900 99576400 103136604 104545574 108490690 112013115 116240025 118353480 119480656 120326038 123989360 128920755 130188828 137515472 147941850 149350820 149364600 154986700 156818361 162736035 164285902 169076400 171894340 173585104 179220984 180489057 185984040 186688525 189083774 197255800 206273208 209091148 214867925 216981380 224026230 232480050 236706960 240652076 246428853 257841510 260377656 261363935 271226725 283625661 295883700 298701640 298729200 300815095 309973400 313636722 325472070 328571804 343788680 358441968 360978114 371968080 373377050 378167548 394511600 410714755 412546416 418182296 429735850 433962760 448052460 455520001 464960100 472709435 481304152 492857706 515683020 520755312 522727870 542453450 560065575 567251322 575000657 591767400 597403280 601630190 619946800 627273444 644603775 650944140 657143608 661793209 687577360 721956228 746754100 756335096 784091805 813680175 821429510 836364592 859471700 867925520 896104920 902445285 911040002 929920200 945418870 962608304 985715412 1031366040 1045455740 1084906900 1120131150 1134502644 1150001314 1183534800 1203260380 1232144265 1254546888 1289207550 1301888280 1306819675 1314287216 1323586418 1366560003 1418128305 1443912456 1493508200 1504075475 1512670192 1568183610 1627360350 1642859020 1718943400 1725001971 1792209840 1804890570 1822080004 1859840400 1890837740 1971430824 1985379627 2053573775 2062732080 2090911480 2169813800 2240262300 2269005288 2277600005 2300002628 2363547175 2406520760 2464288530 2509093776 2578415100 2603776560 2613639350 2647172836 2733120006 2836256610 2875003285 2887824912 2987016400 3008150950 3136367220 3188640007 3254720700 3285718040 3308966045 3437886800 3450003942 3609781140 3644160008 3781675480 3920459025 3942861648 3970759254 4107147550 4181822960 4339627600 4480524600 4512226425 4538010576 4555200010 4600005256 4727094350 4813041520 4928577060 5010720011 5156830200 5227278700 5294345672 5466240012 5672513220 5750006570 6016301900 6160721325 6272734440 6377280014 6509441400 6571436080 6617932090 6832800015 6900007884 7090641525 7219562280 7288320016 7563350960 7840918050 7941518508 8214295100 8625009855 8961049200 9024452850 9110400020 9200010512 9454188700 9565920021 9857154120 9926898135 10021440022 10313660400 10454557400 10588691344 10932480024 11345026440 11388000025 11500013140 12032603800 12321442650 12545468880 12754560028 13018882800 13235864180 13665600030 13800015768 14181283050 14375016425 14439124560 15032160033 15681836100 15883037016 15943200035 16428590200 16544830225 17250019710 18048905700 18220800040 18908377400 19131840042 19714308240 19853796270 20042880044 20909114800 21864960048 22690052880 22776000050 23000026280 24065207600 24642885300 25053600055 25509120056 26471728360 27331200060 27600031536 28362566100 28750032850 30064320066 31363672200 31766074032 31886400070 32857180400 33089660450 34164000075 34500039420 35075040077 36097811400 36441600080 37816754800 38263680084 39707592540 40085760088 43125049275 45552000100 46000052560 47829600105 49285770600 49634490675 50107200110 51018240112 52943456720 54662400120 56725132200 57500065700 60128640132 62727344400 63772800140 66179320900 68328000150 69000078840 70150080154 72195622800 75160800165 76527360168 79415185080 79716000175 80171520176 86250098550 91104000200 95659200210 98571541200 99268981350 100214400220 105225120231 109324800240 113450264400 115000131400 120257280264 125268000275 127545600280 132358641800 136656000300 138000157680 140300160308 150321600330 153054720336 158830370160 159432000350 172500197100 175375200385 182208000400 191318400420 198537962700 200428800440 210450240462 230000262800 239148000525 240514560528 250536000550 255091200560 264717283600 273312000600 280600320616 300643200660 318864000700 345000394200 350750400770 375804000825 382636800840 397075925400 400857600880 420900480924 478296001050 501072001100 526125601155 546624001200 561200641232 601286401320 637728001400 690000788400 701500801540 751608001650 765273601680 794151850800 841800961848 876876001925 956592002100 1002144002200 1052251202310 1202572802640 1275456002800 1403001603080 1503216003300 1683601923696 1753752003850 1913184004200 2004288004400 2104502404620 2630628005775 2806003206160 3006432006600 3507504007700 3826368008400 4209004809240 5261256011550 6012864013200 7015008015400 8418009618480 10522512023100 14030016030800 21045024046200 42090048092400
- Sum of all divisors σ(n): 174078401412096
- Sum of proper divisors (its aliquot sum) s(n): 131988353319696
- 42090048092400 is an abundant number, because the sum of its proper divisors (131988353319696) is greater than itself. Its abundance is 89898305227296
Bases of 42090048092400
- Binary: 10011001000111110110100101110101111000111100002
- Hexadecimal: 0x2647DA5D78F0
- Base-36: EX3WFWG6O
Squares and roots of 42090048092400
- 42090048092400 squared (420900480924002) is 1771572148420544878937760000
- 42090048092400 cubed (420900480924003) is 74565556926177124654702854226329024000000
-
The
square root of 42090048092400 is 6487684.3397625319 -
The
cube root of 42090048092400 is 34785.0907454389
Scales and comparisons
How big is 42090048092400?- 42,090,048,092,400 seconds is equal to 1,338,333 years, 17 weeks, 3 days, 9 hours, 40 minutes.
-
To count from 1 to 42,090,048,092,400 would take you about three million, three hundred forty-five thousand, eight hundred thirty-three 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 42090048092400 cubic inches would be around 2898.8 feet tall.
Recreational maths with 42090048092400
- 42090048092400 backwards is 00429084009024
- 42090048092400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42090048092400's digits is 42
- More coming soon!
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The information we have on file for 42090048092400 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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