42498709968000
42,498,709,968,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42498709968000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
42498709968000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42498709968000:
27 × 3 × 53 × 112 × 13 × 31 × 67 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 31 × 67 × 271)See below for interesting mathematical facts about the number 42498709968000 from the Numbermatics database.
Names of 42498709968000
- Cardinal: 42498709968000 can be written as Forty-two trillion, four hundred ninety-eight billion, seven hundred nine million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2498709968 × 1013
Factors of 42498709968000
Divisors of 42498709968000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 44 48 50 52 55 60 62 64 65 66 67 75 78 80 88 93 96 100 104 110 120 121 124 125 128 130 132 134 143 150 155 156 160 165 176 186 192 195 200 201 208 220 240 242 248 250 260 264 268 271 275 286 300 310 312 320 325 330 335 341 352 363 372 375 384 390 400 402 403 416 429 440 465 480 484 496 500 520 528 536 542 550 572 600 605 620 624 640 650 660 670 682 704 715 726 737 744 750 775 780 800 804 806 813 825 832 858 871 880 930 960 968 975 992 1000 1005 1023 1040 1056 1072 1084 1100 1144 1200 1209 1210 1240 1248 1300 1320 1340 1355 1364 1375 1408 1430 1452 1474 1488 1500 1550 1560 1573 1600 1608 1612 1625 1626 1650 1664 1675 1705 1716 1742 1760 1815 1860 1920 1936 1950 1984 2000 2010 2015 2046 2077 2080 2112 2144 2145 2168 2200 2211 2288 2325 2400 2418 2420 2480 2496 2600 2613 2640 2680 2710 2728 2750 2860 2904 2948 2976 2981 3000 3025 3100 3120 3146 3200 3216 3224 3250 3252 3300 3350 3410 3432 3484 3520 3523 3575 3630 3685 3720 3751 3872 3875 3900 3968 4000 4020 4030 4065 4092 4125 4154 4160 4224 4288 4290 4336 4355 4400 4422 4433 4576 4650 4719 4800 4836 4840 4875 4960 4992 5025 5115 5200 5226 5280 5360 5420 5456 5500 5720 5808 5896 5952 5962 6000 6045 6050 6200 6231 6240 6292 6432 6448 6500 6504 6600 6700 6775 6820 6864 6968 7040 7046 7150 7260 7370 7440 7502 7744 7750 7800 7865 8000 8040 8060 8107 8130 8184 8250 8308 8320 8375 8401 8525 8576 8580 8672 8710 8800 8844 8866 8943 9075 9152 9300 9438 9581 9600 9672 9680 9750 9920 10050 10075 10230 10385 10400 10452 10560 10569 10720 10725 10840 10912 11000 11055 11253 11440 11616 11625 11792 11904 11924 12000 12090 12100 12400 12462 12480 12584 12864 12896 13000 13008 13065 13200 13299 13400 13550 13640 13728 13936 14092 14300 14520 14740 14880 14905 15004 15125 15488 15500 15600 15730 16000 16080 16120 16214 16260 16368 16500 16616 16750 16802 17050 17160 17344 17420 17600 17615 17688 17732 17875 17886 18150 18157 18304 18425 18600 18755 18876 19162 19344 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2926908400 2971937760 3015804000 3049563000 3095768500 3115741200 3136436160 3171545520 3195632000 3219599240 3252867200 3267121000 3269131536 3295495500 3303693250 3377202000 3405345350 3410264000 3427315320 3512290080 3515195200 3541559164 3564132000 3570120125 3604029000 3655803008 3658635500 3714922200 3776656000 3844297600 3863519088 3894676500 3920545200 3962583680 3964431900 4021072000 4024499050 4066084000 4086414420 4092316800 4154321600 4218234240 4228727360 4284144150 4358842048 4390362600 4393994000 4426948955 4435728000 4502936000 4569753760 4643652750 4683053440 4752176000 4793448000 4805372000 4829398860 4879300800 4900681500 4953229600 4955539875 4985185920 5058768000 5074472832 5108018025 5115396000 5151358784 5192902000 5227393600 5242224000 5272792800 5285909200 5312338746 5403523200 5448552560 5483704512 5487953250 5664984000 5712192200 5766446400 5853816800 5943875520 6031608000 6036748575 6099126000 6191537000 6231482400 6272872320 6343091040 6439198480 6534242000 6538263072 6590991000 6607386500 6754404000 6810690700 6820528000 6854630640 7024580160 7030390400 7083118328 7128264000 7140240250 7208058000 7317271000 7429844400 7727038176 7789353000 7841090400 7928863800 8048998100 8132168000 8172828840 8308643200 8457454720 8513363375 8568288300 8717684096 8780725200 8787988000 8853897910 9005872000 9139507520 9287305500 9586896000 9610744000 9658797720 9758601600 9801363000 9906459200 9911079750 10061247625 10216036050 10230792000 10302717568 10385804000 10454787200 10545585600 10571818400 10624677492 10710360375 10897105120 10967409024 10975906500 11329968000 11424384400 11532892800 11707633600 11887751040 12063216000 12073497150 12198252000 12383074000 12462964800 12686182080 12878396960 13068484000 13076526144 13181982000 13214773000 13280846865 13508808000 13621381400 13709261280 14049160320 14166236656 14256528000 14280480500 14416116000 14634542000 14859688800 15454076352 15578706000 15682180800 15857727600 16097996200 16264336000 16345657680 17026726750 17136576600 17561450400 17575976000 17707795820 18279015040 18574611000 19221488000 19317595440 19602726000 19812918400 19822159500 20122495250 20432072100 20461584000 20771608000 21091171200 21143636800 21249354984 21420720750 21794210240 21951813000 22134744775 22848768800 23415267200 24146994300 24396504000 24766148000 24925929600 25372364160 25540090125 25756793920 26136968000 26153052288 26363964000 26429546000 26561693730 27017616000 27242762800 27418522560 28332473312 28560961000 28832232000 29269084000 29719377600 30183742875 30908152704 31157412000 31364361600 31715455200 32195992400 32691315360 34053453500 34273153200 35122900800 35151952000 35415591640 37149222000 38635190880 39205452000 39644319000 40244990500 40864144200 41543216000 42287273600 42498709968 42841441500 43588420480 43903626000 44269489550 45697537600 48293988600 48793008000 49532296000 51080180250 51513587840 52273936000 52727928000 52859092000 53123387460 54485525600 54837045120 56664946624 57121922000 57664464000 58538168000 59438755200 60367485750 62314824000 63430910400 64391984800 65382630720 66404234325 68106907000 68546306400 70245801600 70831183280 74298444000 77270381760 78410904000 79288638000 80489981000 81728288400 84997419936 85682883000 87807252000 88538979100 91395075200 96587977200 99064592000 102160360500 105455856000 105718184000 106246774920 108971051200 110673723875 113329893248 114243844000 117076336000 120734971500 124629648000 126861820800 128783969600 130765261440 132808468650 136213814000 137092612800 141662366560 148596888000 154540763520 156821808000 158577276000 160979962000 163456576800 169994839872 171365766000 175614504000 177077958200 193175954400 204320721000 211436368000 212493549840 217942102400 221347447750 228487688000 241469943000 257567939200 265616937300 272427628000 274185225600 283324733120 297193776000 317154552000 321959924000 326913153600 332021171625 339989679744 342731532000 351229008000 354155916400 386351908800 408641442000 424987099680 442694895500 456975376000 482939886000 531233874600 544855256000 566649466240 634309104000 643919848000 653826307200 664042343250 685463064000 708311832800 772703817600 817282884000 849974199360 885389791000 965879772000 1062467749200 1089710512000 1287839696000 1328084686500 1370926128000 1416623665600 1634565768000 1699948398720 1770779582000 1931759544000 2124935498400 2656169373000 2833247331200 3269131536000 3541559164000 3863519088000 4249870996800 5312338746000 7083118328000 8499741993600 10624677492000 14166236656000 21249354984000 42498709968000
- Sum of all divisors σ(n): 175360688455680
- Sum of proper divisors (its aliquot sum) s(n): 132861978487680
- 42498709968000 is an abundant number, because the sum of its proper divisors (132861978487680) is greater than itself. Its abundance is 90363268519680
Bases of 42498709968000
- Binary: 10011010100111000000001000001011010100100000002
- Hexadecimal: 0x26A70082D480
- Base-36: F2BMYMPHC
Squares and roots of 42498709968000
- 42498709968000 squared (424987099680002) is 1806140348944182561024000000
- 42498709968000 cubed (424987099680003) is 76758634851281129681802437087232000000000
-
The
square root of 42498709968000 is 6519103.4635139823 -
The
cube root of 42498709968000 is 34897.3071400037
Scales and comparisons
How big is 42498709968000?- 42,498,709,968,000 seconds is equal to 1,351,327 years, 27 weeks, 5 hours, 20 minutes.
-
To count from 1 to 42,498,709,968,000 would take you about three million, three hundred seventy-eight thousand, three hundred eighteen 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 42498709968000 cubic inches would be around 2908.1 feet tall.
Recreational maths with 42498709968000
- 42498709968000 backwards is 00086990789424
- 42498709968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42498709968000's digits is 66
- More coming soon!
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"Number 42498709968000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 42498709968000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/42498709968000/
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The information we have on file for 42498709968000 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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