42506986368000
42,506,986,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42506986368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
42506986368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42506986368000:
210 × 3 × 53 × 7 × 113 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 109 × 109)See below for interesting mathematical facts about the number 42506986368000 from the Numbermatics database.
Names of 42506986368000
- Cardinal: 42506986368000 can be written as Forty-two trillion, five hundred six billion, nine hundred eighty-six million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2506986368 × 1013
Factors of 42506986368000
Divisors of 42506986368000
- Number of divisors d(n): 2112
-
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 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 109 110 112 120 121 125 128 132 140 150 154 160 165 168 175 176 192 200 210 218 220 224 231 240 242 250 256 264 275 280 300 308 320 327 330 336 350 352 363 375 384 385 400 420 436 440 448 462 480 484 500 512 525 528 545 550 560 600 605 616 640 654 660 672 700 704 726 750 763 768 770 800 825 840 847 872 875 880 896 924 960 968 1000 1024 1050 1056 1090 1100 1120 1155 1199 1200 1210 1232 1280 1308 1320 1331 1344 1375 1400 1408 1452 1500 1526 1536 1540 1600 1635 1650 1680 1694 1744 1750 1760 1792 1815 1848 1920 1925 1936 2000 2100 2112 2180 2200 2240 2289 2310 2398 2400 2420 2464 2541 2560 2616 2625 2640 2662 2688 2725 2750 2800 2816 2904 3000 3025 3052 3072 3080 3200 3270 3300 3360 3388 3488 3500 3520 3584 3597 3630 3696 3815 3840 3850 3872 3993 4000 4125 4200 4224 4235 4360 4400 4480 4578 4620 4796 4800 4840 4928 5082 5120 5232 5250 5280 5324 5376 5450 5500 5600 5632 5775 5808 5995 6000 6050 6104 6160 6400 6540 6600 6655 6720 6776 6976 7000 7040 7168 7194 7260 7392 7630 7680 7700 7744 7986 8000 8175 8250 8393 8400 8448 8470 8720 8800 8960 9075 9156 9240 9317 9592 9600 9625 9680 9856 10164 10464 10500 10560 10648 10752 10900 11000 11200 11264 11445 11550 11616 11881 11990 12000 12100 12208 12320 12705 12800 13080 13189 13200 13310 13440 13552 13625 13952 14000 14080 14388 14520 14784 15125 15260 15360 15400 15488 15972 16000 16350 16500 16786 16800 16896 16940 17440 17600 17920 17985 18150 18312 18480 18634 19075 19184 19200 19250 19360 19712 19965 20328 20928 21000 21120 21175 21296 21504 21800 22000 22400 22890 23100 23232 23762 23980 24000 24200 24416 24640 25179 25410 25600 26160 26378 26400 26620 26880 27104 27250 27904 27951 28000 28160 28776 28875 29040 29568 29975 30250 30520 30800 30976 31944 32000 32700 33000 33275 33572 33600 33792 33880 34880 35200 35643 35840 35970 36300 36624 36960 37268 38150 38368 38400 38500 38720 39424 39567 39930 40656 40875 41856 41965 42000 42240 42350 42592 43600 44000 44800 45375 45780 46200 46464 46585 47524 47960 48000 48400 48832 49280 50358 50820 52320 52756 52800 53240 53760 54208 54500 55808 55902 56000 56320 57225 57552 57750 58080 59136 59405 59950 60500 61040 61600 61952 63525 63888 64000 65400 65945 66000 66550 67144 67200 67760 69760 70400 71286 71940 72600 73248 73920 74536 76300 76736 76800 77000 77440 78848 79134 79860 81312 81750 83167 83712 83930 84000 84480 84700 85184 87200 88000 89600 89925 90750 91560 92323 92400 92928 93170 95048 95375 95920 96000 96800 97664 98560 99825 100716 101640 104640 105512 105600 105875 106480 107520 108416 109000 111616 111804 112000 114450 115104 115500 116160 118272 118810 119900 121000 122080 123200 123904 125895 127050 127776 128000 130691 130800 131890 132000 133100 134288 134400 135520 139520 139755 140800 142572 143880 145079 145200 146496 147840 149072 149875 152600 153472 154000 154880 158268 159720 162624 163500 166334 166375 167424 167860 168000 168960 169400 170368 174400 176000 178215 179200 179850 181500 183120 184646 184800 185856 186340 190096 190750 191840 192000 193600 195328 197120 197835 199650 201432 203280 209280 209825 211024 211200 211750 212960 216832 218000 223608 224000 228900 230208 231000 232320 232925 236544 237620 239800 242000 244160 246400 249501 251790 254100 255552 261382 261600 263780 264000 266200 268576 268800 271040 276969 279040 279510 281600 285144 286125 287760 290158 290400 292992 295680 297025 298144 299750 305200 306944 308000 309760 316536 317625 319440 325248 327000 329725 332668 332750 334848 335720 336000 338800 340736 348800 352000 356430 359700 363000 366240 369292 369600 371712 372680 380192 381500 383680 384000 387200 390656 392073 394240 395670 399300 402864 406560 415835 418560 419650 422048 422400 423500 425920 433664 435237 436000 447216 448000 449625 457800 460416 461615 462000 464640 465850 475240 479600 484000 488320 492800 499002 499125 503580 508200 511104 522764 523200 527560 528000 532400 537152 537600 542080 553938 558080 559020 570288 572250 575520 580316 580800 585984 591360 594050 596288 599500 610400 613888 616000 619520 629475 633072 635250 638880 650496 653455 654000 659450 665336 665500 671440 672000 677600 681472 697600 698775 704000 712860 719400 725395 726000 732480 738584 739200 745360 760384 763000 767360 774400 781312 784146 791340 798600 805728 813120 831670 837120 839300 844096 844800 847000 851840 867328 870474 872000 891075 894432 896000 899250 914837 915600 920832 923230 924000 929280 931700 950480 959200 968000 976640 985600 989175 998004 998250 1007160 1015553 1016400 1022208 1045528 1046400 1049125 1055120 1056000 1064800 1074304 1084160 1107876 1118040 1140576 1144500 1151040 1160632 1161600 1164625 1171968 1182720 1188100 1192576 1199000 1220800 1227776 1232000 1247505 1258950 1266144 1270500 1277760 1300992 1306910 1308000 1318900 1330672 1331000 1342880 1344000 1355200 1362944 1384845 1395200 1397550 1408000 1425720 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3542248864 3545203200 3577728000 3659348000 3680258560 3714022400 3773702625 3795266640 3864271488 3899723520 3953402750 3992016000 4025282800 4048284416 4062212000 4182112000 4312803000 4391217600 4416310272 4427811080 4431504000 4562304000 4600323200 4642528000 4683965440 4744083300 4830339360 4874654400 5018534400 5031603500 5060355520 5064576000 5152361984 5199631360 5313373296 5322688000 5489022000 5520387840 5534763850 5571033600 5750404000 5854956800 5908672000 5930104125 6037924200 6072426624 6093318000 6273168000 6325444400 6387225600 6440452480 6499539200 6641716620 6900484800 6963792000 7025948160 7084497728 7090406400 7318696000 7360517120 7547405250 7590533280 7728542976 7799447040 7906805500 7984032000 8050565600 8096568832 8124424000 8302145775 8364224000 8625606000 8782435200 8855622160 8863008000 9200646400 9285056000 9488166600 9660678720 9749308800 10037068800 10063207000 10120711040 10304723968 10626746592 10645376000 10978044000 11040775680 11069527700 11142067200 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47440833000 48303393600 48579412992 48746544000 50185344000 50603555200 51523619840 53133732960 55203878400 55347638500 55710336000 56675981824 58549568000 60379242000 60724266240 63254444000 64404524800 64995392000 66417166200 69004848000 70259481600 70844977280 75905332800 77285429760 77994470400 80505656000 80965688320 83021457750 85013972736 87824352000 88556221600 92006464000 94881666000 96606787200 97493088000 101207110400 106267465920 110407756800 110695277000 113351963648 117099136000 120758484000 121448532480 126508888000 128809049600 129990784000 132834332400 138009696000 141689954560 151810665600 154570859520 161011312000 166042915500 170027945472 175648704000 177112443200 184012928000 189763332000 193213574400 194986176000 202414220800 212534931840 221390554000 241516968000 242897064960 253017776000 257618099200 265668664800 276019392000 283379909120 303621331200 322022624000 332085831000 340055890944 351297408000 354224886400 379526664000 386427148800 389972352000 404828441600 425069863680 442781108000 483033936000 506035552000 531337329600 552038784000 566759818240 607242662400 644045248000 664171662000 708449772800 759053328000 772854297600 850139727360 885562216000 966067872000 1012071104000 1062674659200 1214485324800 1288090496000 1328343324000 1416899545600 1518106656000 1700279454720 1771124432000 1932135744000 2024142208000 2125349318400 2656686648000 2833799091200 3036213312000 3542248864000 3864271488000 4250698636800 5313373296000 6072426624000 7084497728000 8501397273600 10626746592000 14168995456000 21253493184000 42506986368000
- Sum of all divisors σ(n): 179386145842176
- Sum of proper divisors (its aliquot sum) s(n): 136879159474176
- 42506986368000 is an abundant number, because the sum of its proper divisors (136879159474176) is greater than itself. Its abundance is 94372173106176
Bases of 42506986368000
- Binary: 10011010101000111011011101001010101100000000002
- Hexadecimal: 0x26A8EDD2AC00
- Base-36: F2FFU6OLC
Squares and roots of 42506986368000
- 42506986368000 squared (425069863680002) is 1806843890089337831424000000
- 42506986368000 cubed (425069863680003) is 76803488605131573502486650028032000000000
-
The
square root of 42506986368000 is 6519738.2131493593 -
The
cube root of 42506986368000 is 34899.5723485719
Scales and comparisons
How big is 42506986368000?- 42,506,986,368,000 seconds is equal to 1,351,590 years, 35 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,506,986,368,000 would take you about three million, three hundred seventy-eight thousand, nine hundred seventy-six 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 42506986368000 cubic inches would be around 2908.3 feet tall.
Recreational maths with 42506986368000
- 42506986368000 backwards is 00086368960524
- The number of decimal digits it has is: 14
- The sum of 42506986368000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 42506986368000 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 42506986368000 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/42506986368000/
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The information we have on file for 42506986368000 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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