38424290688000
38,424,290,688,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38424290688000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
38424290688000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 38424290688000:
210 × 32 × 53 × 7 × 31 × 281 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 281 × 547)See below for interesting mathematical facts about the number 38424290688000 from the Numbermatics database.
Names of 38424290688000
- Cardinal: 38424290688000 can be written as Thirty-eight trillion, four hundred twenty-four billion, two hundred ninety million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 3.8424290688 × 1013
Factors of 38424290688000
Divisors of 38424290688000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 112 120 124 125 126 128 140 144 150 155 160 168 175 180 186 192 200 210 217 224 225 240 248 250 252 256 279 280 281 288 300 310 315 320 336 350 360 372 375 384 400 420 434 448 450 465 480 496 500 504 512 525 547 558 560 562 576 600 620 630 640 651 672 700 720 744 750 768 775 800 840 843 868 875 896 900 930 960 992 1000 1008 1024 1050 1085 1094 1116 1120 1124 1125 1152 1200 1240 1260 1280 1302 1344 1395 1400 1405 1440 1488 1500 1536 1550 1575 1600 1641 1680 1686 1736 1750 1792 1800 1860 1920 1953 1967 1984 2000 2016 2100 2170 2188 2232 2240 2248 2250 2304 2325 2400 2480 2520 2529 2560 2604 2625 2688 2735 2790 2800 2810 2880 2976 3000 3072 3100 3150 3200 3255 3282 3360 3372 3472 3500 3584 3600 3720 3829 3840 3875 3906 3934 3968 4000 4032 4200 4215 4340 4376 4464 4480 4496 4500 4608 4650 4800 4923 4960 5040 5058 5120 5208 5250 5376 5425 5470 5580 5600 5620 5760 5901 5952 6000 6200 6300 6400 6510 6564 6720 6744 6944 6975 7000 7025 7168 7200 7440 7658 7680 7750 7812 7868 7875 7936 8000 8064 8205 8400 8430 8680 8711 8752 8928 8960 8992 9000 9216 9300 9600 9765 9835 9846 9920 10080 10116 10416 10500 10752 10850 10940 11160 11200 11240 11487 11520 11625 11802 11904 12000 12400 12600 12645 12800 13020 13128 13440 13488 13675 13888 13950 14000 14050 14400 14880 15316 15360 15500 15624 15736 15750 15872 16000 16128 16275 16410 16800 16860 16957 17360 17422 17504 17703 17856 17920 17984 18000 18600 19145 19200 19530 19670 19692 19840 20160 20232 20832 21000 21075 21504 21700 21880 22320 22400 22480 22974 23040 23250 23604 23808 24000 24615 24800 25200 25290 25600 26040 26133 26256 26880 26976 27125 27350 27776 27900 28000 28100 28800 29505 29760 30632 31000 31248 31472 31500 31744 32000 32256 32550 32820 33600 33720 33914 34461 34720 34844 34875 35008 35125 35406 35712 35840 35968 36000 37200 38290 38400 39060 39340 39384 39680 40320 40464 41025 41664 42000 42150 43400 43555 43760 44640 44800 44960 45948 46080 46500 47208 47616 48000 48825 49175 49230 49600 50400 50580 50871 52080 52266 52512 53760 53952 54250 54700 55552 55800 56000 56200 57435 57600 59010 59520 60977 61264 62000 62496 62944 63000 63225 64000 64512 65100 65640 67200 67440 67828 68375 68922 69440 69688 69750 70016 70250 70812 71424 71936 72000 74400 76580 76800 78120 78399 78680 78768 79360 80640 80928 81375 82050 83328 84000 84300 84785 86800 87110 87520 88515 89280 89600 89920 91896 93000 94416 95232 95725 96000 97650 98350 98460 99200 100800 101160 101742 104160 104532 105024 105375 107520 107904 108500 109400 111104 111600 112000 112400 114870 115200 118020 118699 119040 121954 122528 123075 124000 124992 125888 126000 126450 128000 130200 130665 131280 134400 134880 135656 136750 137844 138880 139376 139500 140032 140500 141624 142848 143872 144000 147525 148800 152613 153160 153707 156240 156798 157360 157536 158720 161280 161856 162750 164100 166656 168000 168600 169570 172305 173600 174220 175040 177030 178560 179200 179840 182931 183792 186000 188832 191450 192000 195300 196700 196920 198400 201600 202320 203484 205125 208320 209064 210048 210750 215808 217000 217775 218800 222208 223200 224000 224800 229740 230400 236040 237398 238080 243908 244125 245056 245875 246150 248000 249984 251776 252000 252900 254355 260400 261330 262560 268800 269760 271312 273500 275688 277760 278752 279000 280064 281000 283248 285696 287175 287744 288000 295050 297600 304885 305226 306320 307414 312480 313596 314720 315072 316125 322560 323712 325500 328200 333312 336000 337200 339140 344610 347200 348440 350080 354060 356097 357120 359680 365862 367584 372000 377664 382900 384000 390600 391995 393400 393840 396800 403200 404640 406968 410250 416640 418128 420096 421500 423925 431616 434000 435550 437600 442575 446400 448000 449600 459480 461121 472080 474796 476160 478625 487816 488250 490112 491750 492300 496000 499968 503552 504000 505800 508710 520800 522660 525120 537600 539520 542624 547000 548793 551376 555520 557504 558000 560128 562000 566496 574350 576000 590100 593495 595200 609770 610452 612640 614828 615375 624960 627192 629440 630144 632250 647424 651000 653325 656400 666624 672000 674400 678280 689220 694400 696880 700160 708120 712194 714240 719360 731724 735168 737625 744000 755328 763065 765800 768535 781200 783990 786800 787680 793600 806400 809280 813936 820500 833280 836256 840192 843000 847850 861525 863232 868000 871100 875200 885150 892800 896000 899200 914655 918960 922242 944160 949592 957250 975632 976500 980224 983500 984600 992000 999936 1007104 1008000 1011600 1017420 1041600 1045320 1050240 1068291 1075949 1079040 1085248 1088875 1094000 1097586 1102752 1111040 1115008 1116000 1124000 1132992 1148700 1152000 1180200 1186990 1190400 1219540 1220904 1225280 1229656 1230750 1249920 1254384 1258880 1260288 1264500 1271775 1294848 1302000 1306650 1312800 1344000 1348800 1356560 1378440 1383363 1388800 1393760 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3391400 3446100 3472000 3484400 3500800 3540600 3560970 3571200 3596800 3658620 3675840 3688968 3776640 3798368 3815325 3829000 3842675 3902528 3906000 3919950 3920896 3934000 3938400 3968000 4032000 4046400 4069680 4166400 4181280 4200960 4239250 4273164 4303796 4307625 4316160 4340992 4355500 4376000 4390344 4411008 4425750 4460032 4464000 4496000 4531968 4573275 4594800 4611210 4720800 4747960 4764917 4878160 4883616 4901120 4918624 4923000 4999680 5017536 5035520 5041152 5058000 5087100 5208000 5226600 5251200 5341455 5379745 5395200 5426240 5487930 5513760 5533452 5555200 5575040 5664960 5697552 5743500 5853792 5881344 5901000 5934950 5952000 6042624 6097700 6104520 6126400 6148280 6249600 6271920 6294400 6301440 6358875 6455694 6474240 6511488 6533250 6564000 6690048 6744000 6782800 6892200 6916815 6944000 6968800 7001600 7081200 7121940 7142400 7193600 7317240 7351680 7377936 7553280 7596736 7622125 7630650 7658000 7685350 7805056 7812000 7839900 7868000 7876800 8064000 8092800 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1180469760 1191229250 1200759084 1210442625 1219818752 1220904000 1229656000 1239493248 1254384000 1291138800 1302297600 1334176760 1367412480 1372296096 1377214720 1383363000 1404910080 1416563712 1424388000 1429475100 1463448000 1470336000 1475587200 1500948855 1519347200 1524773440 1549366560 1561011200 1601012112 1613923500 1627872000 1652657664 1667720950 1672512000 1709265600 1715370120 1721518400 1756137600 1770704640 1786843875 1823216640 1829728128 1844484000 1899184000 1905966800 1936708200 1951264000 1953446400 1967449600 2001265140 2007014400 2065822080 2134682816 2136582000 2144212650 2151898000 2170496000 2195172000 2205504000 2213380800 2265984000 2279020800 2287160160 2341516800 2360939520 2382458500 2401518168 2420885250 2439637504 2441808000 2459312000 2478986496 2501581425 2508768000 2582277600 2668353520 2734824960 2744592192 2754429440 2766726000 2809820160 2848776000 2858950200 2926896000 2951174400 3001897710 3038694400 3049546880 3098733120 3202024224 3227847000 3255744000 3305315328 3335441900 3345024000 3418531200 3430740240 3443036800 3512275200 3541409280 3573687750 3659456256 3688968000 3798368000 3811933600 3873416400 3902528000 3906892800 3934899200 4002530280 4131644160 4169302375 4269365632 4273164000 4288425300 4303796000 4390344000 4411008000 4426761600 4558041600 4574320320 4683033600 4764917000 4803036336 4841770500 4879275008 4883616000 4918624000 4957972992 5003162850 5017536000 5164555200 5336707040 5360531625 5469649920 5489184384 5508858880 5533452000 5697552000 5717900400 5853792000 5902348800 6003795420 6099093760 6197466240 6404048448 6455694000 6511488000 6670883800 6837062400 6861480480 6886073600 7024550400 7082818560 7147375500 7318912512 7377936000 7504744275 7596736000 7623867200 7746832800 7805056000 8005060560 8263288320 8338604750 8538731264 8546328000 8576850600 8607592000 8780688000 8853523200 9116083200 9148640640 9529834000 9606072672 9683541000 9767232000 9837248000 9915945984 10006325700 10035072000 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43913475072 44267616000 45580416000 45743203200 48030363360 49579729920 50031628500 51232387584 51645552000 53367070400 54891843840 57179004000 59023488000 60037954200 60990937600 61974662400 64040484480 66708838000 68370624000 68614804800 68860736000 70245504000 73189125120 75047442750 76238672000 76848581376 77468328000 80050605600 82632883200 85387312640 85768506000 88535232000 91486406400 96060726720 100063257000 102464775168 103291104000 106734140800 109783687680 114358008000 120075908400 121981875200 123949324800 128080968960 133417676000 136741248000 137229609600 137721472000 150094885500 152477344000 153697162752 154936656000 160101211200 170774625280 171537012000 177070464000 182972812800 192121453440 200126514000 206582208000 213468281600 219567375360 228716016000 240151816800 247898649600 256161937920 266835352000 274459219200 300189771000 304954688000 307394325504 309873312000 320202422400 343074024000 365945625600 384242906880 400253028000 413164416000 426936563200 457432032000 480303633600 512323875840 533670704000 548918438400 600379542000 609909376000 619746624000 640404844800 686148048000 768485813760 800506056000 853873126400 914864064000 960607267200 1067341408000 1097836876800 1200759084000 1239493248000 1280809689600 1372296096000 1536971627520 1601012112000 1829728128000 1921214534400 2134682816000 2401518168000 2561619379200 2744592192000 3202024224000 3842429068800 4269365632000 4803036336000 5489184384000 6404048448000 7684858137600 9606072672000 12808096896000 19212145344000 38424290688000
- Sum of all divisors σ(n): 164231108960256
- Sum of proper divisors (its aliquot sum) s(n): 125806818272256
- 38424290688000 is an abundant number, because the sum of its proper divisors (125806818272256) is greater than itself. Its abundance is 87382527584256
Bases of 38424290688000
- Binary: 10001011110010010110100011001001111100000000002
- Hexadecimal: 0x22F25A327C00
- Base-36: DMBVIL8G0
Squares and roots of 38424290688000
- 38424290688000 squared (384242906880002) is 1476426114875923513344000000
- 38424290688000 cubed (384242906880003) is 56730626217346966129184102940672000000000
-
The
square root of 38424290688000 is 6198732.9905392763 -
The
cube root of 38424290688000 is 33744.4188486327
Scales and comparisons
How big is 38424290688000?- 38,424,290,688,000 seconds is equal to 1,221,773 years, 30 weeks, 4 days, 16 hours.
-
To count from 1 to 38,424,290,688,000 would take you about three million, fifty-four thousand, four 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 38424290688000 cubic inches would be around 2812 feet tall.
Recreational maths with 38424290688000
- 38424290688000 backwards is 00088609242483
- The number of decimal digits it has is: 14
- The sum of 38424290688000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 38424290688000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 38424290688000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/38424290688000/
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Numbermatics. 2024. "Number 38424290688000 - Facts about the integer". https://numbermatics.com/n/38424290688000/
The information we have on file for 38424290688000 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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