10149993984000
10,149,993,984,000 is an even composite number composed of six prime numbers multiplied together.
10149993984000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 10149993984000:
212 × 3 × 53 × 132 × 61 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 61 × 641)See below for interesting mathematical facts about the number 10149993984000 from the Numbermatics database.
Names of 10149993984000
- Cardinal: 10149993984000 can be written as Ten trillion, one hundred forty-nine billion, nine hundred ninety-three million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.0149993984 × 1013
Factors of 10149993984000
Divisors of 10149993984000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 96 100 104 120 122 125 128 130 150 156 160 169 183 192 195 200 208 240 244 250 256 260 300 305 312 320 325 338 366 375 384 390 400 416 480 488 500 507 512 520 600 610 624 640 641 650 676 732 750 768 780 793 800 832 845 915 960 975 976 1000 1014 1024 1040 1200 1220 1248 1280 1282 1300 1352 1464 1500 1525 1536 1560 1586 1600 1625 1664 1690 1830 1920 1923 1950 1952 2000 2028 2048 2080 2379 2400 2440 2496 2535 2560 2564 2600 2704 2928 3000 3050 3072 3120 3172 3200 3205 3250 3328 3380 3660 3840 3846 3900 3904 3965 4000 4056 4096 4160 4225 4575 4758 4800 4875 4880 4992 5070 5120 5128 5200 5408 5856 6000 6100 6144 6240 6344 6400 6410 6500 6656 6760 7320 7625 7680 7692 7800 7808 7930 8000 8112 8320 8333 8450 9150 9516 9600 9615 9750 9760 9984 10140 10240 10256 10309 10400 10816 11712 11895 12000 12200 12288 12480 12675 12688 12800 12820 13000 13312 13520 14640 15250 15360 15384 15600 15616 15860 16000 16025 16224 16640 16666 16900 18300 19032 19200 19230 19500 19520 19825 19968 20280 20480 20512 20618 20800 21125 21632 22875 23424 23790 24000 24400 24960 24999 25350 25376 25600 25640 26000 26624 27040 29280 30500 30720 30768 30927 31200 31232 31720 32000 32050 32448 33280 33332 33800 36600 38064 38400 38460 39000 39040 39101 39650 39936 40560 41024 41236 41600 41665 42250 43264 45750 46848 47580 48000 48075 48800 49920 49998 50700 50752 51200 51280 51545 52000 53248 54080 58560 59475 61000 61440 61536 61854 62400 62464 63375 63440 64000 64100 64896 66560 66664 67600 73200 76128 76800 76920 78000 78080 78202 79300 79872 80125 81120 82048 82472 83200 83330 84500 86528 91500 93696 95160 96000 96150 97600 99125 99840 99996 101400 101504 102400 102560 103090 104000 108160 108329 117120 117303 118950 122000 123072 123708 124800 124928 124995 126750 126880 128000 128200 129792 133120 133328 135200 146400 152256 153600 153840 154635 156000 156160 156404 158600 159744 160250 162240 164096 164944 166400 166660 169000 173056 183000 187392 190320 192000 192300 195200 195505 198250 199680 199992 202800 203008 205120 206180 208000 208325 216320 216658 234240 234606 237900 240375 244000 246144 247416 249600 249856 249990 253500 253760 256000 256400 257725 259584 266240 266656 270400 292800 297375 304512 307200 307680 309270 312000 312320 312808 317200 320500 324480 324987 328192 329888 332800 333320 338000 346112 366000 374784 380640 384000 384600 390400 391010 396500 399360 399984 405600 406016 410240 412360 416000 416650 432640 433316 468480 469212 475800 480750 488000 492288 494832 499200 499980 507000 507520 508313 512000 512800 515450 519168 533312 540800 541645 585600 586515 594750 609024 615360 618540 624000 624640 624975 625616 634400 641000 648960 649974 656384 659776 665600 666640 676000 692224 732000 749568 761280 768000 769200 773175 780800 782020 793000 798720 799968 811200 812032 820480 824720 832000 833300 865280 866632 936960 938424 951600 961500 976000 977525 984576 989664 998400 999960 1014000 1015040 1016626 1025600 1030900 1038336 1041625 1066624 1081600 1083290 1171200 1173030 1189500 1218048 1230720 1237080 1248000 1249280 1249950 1251232 1268800 1282000 1288625 1297920 1299948 1312768 1319552 1331200 1333280 1352000 1464000 1522560 1524939 1536000 1538400 1546350 1561600 1564040 1586000 1599936 1622400 1624064 1624935 1640960 1649440 1664000 1666600 1730560 1733264 1873920 1876848 1903200 1923000 1952000 1955050 1969152 1979328 1996800 1999920 2028000 2030080 2033252 2051200 2061800 2076672 2083250 2133248 2163200 2166580 2342400 2346060 2379000 2436096 2461440 2474160 2496000 2499900 2502464 2537600 2541565 2564000 2577250 2595840 2599896 2625536 2639104 2666560 2704000 2708225 2928000 2932575 3045120 3049878 3076800 3092700 3123200 3124875 3128080 3172000 3199872 3244800 3248128 3249870 3281920 3298880 3328000 3333200 3461120 3466528 3747840 3753696 3806400 3846000 3865875 3904000 3910100 3938304 3958656 3993600 3999840 4056000 4060160 4066504 4102400 4123600 4166500 4266496 4326400 4333160 4684800 4692120 4758000 4872192 4887625 4922880 4948320 4992000 4999800 5004928 5075200 5083130 5128000 5154500 5191680 5199792 5278208 5333120 5408000 5416450 5856000 5865150 6090240 6099756 6153600 6185400 6246400 6249750 6256160 6344000 6399744 6489600 6499740 6563840 6597760 6608069 6656000 6666400 6933056 7507392 7612800 7624695 7692000 7731750 7808000 7820200 7876608 7917312 7999680 8112000 8120320 8124675 8133008 8204800 8247200 8333000 8532992 8652800 8666320 9369600 9384240 9516000 9744384 9775250 9845760 9896640 9984000 9999600 10009856 10150400 10166260 10256000 10309000 10383360 10399584 10556416 10666240 10816000 10832900 11712000 11730300 12180480 12199512 12307200 12370800 12499500 12512320 12688000 12707825 12799488 12979200 12999480 13127680 13195520 13216138 13332800 13541125 13866112 14662875 15014784 15225600 15249390 15384000 15463500 15616000 15640400 15834624 15999360 16224000 16240640 16249350 16266016 16409600 16494400 16666000 17065984 17305600 17332640 18739200 18768480 19032000 19550500 19691520 19793280 19824207 19968000 19999200 20019712 20300800 20332520 20512000 20618000 20799168 21112832 21332480 21632000 21665800 23424000 23460600 24360960 24399024 24614400 24741600 24999000 25024640 25376000 25415650 25598976 25958400 25998960 26391040 26432276 26665600 27082250 27732224 29325750 30029568 30451200 30498780 30768000 30927000 31232000 31280800 31669248 31998720 32448000 32498700 32532032 32819200 32988800 33040345 33332000 34131968 34665280 37536960 38064000 38123475 39101000 39383040 39586560 39648414 39998400 40039424 40601600 40623375 40665040 41024000 41236000 41598336 42225664 42664960 43264000 43331600 46848000 46921200 48721920 48798048 49228800 49483200 49998000 50049280 50752000 50831300 51197952 51916800 51997920 52782080 52864552 53331200 54164500 55464448 58651500 60059136 60902400 60997560 61536000 61854000 62561600 63338496 63539125 63997440 64896000 64997400 65064064 65638400 65977600 66080690 66664000 69330560 75073920 76128000 76246950 78202000 79173120 79296828 79996800 80078848 81203200 81246750 81330080 82048000 82472000 83196672 85329920 86528000 86663200 93696000 93842400 97596096 98457600 98966400 99121035 99996000 100098560 101504000 101662600 102395904 103995840 105564160 105729104 106662400 108329000 110928896 117303000 120118272 121804800 121995120 123072000 123708000 125123200 126676992 127078250 127994880 129792000 129994800 130128128 131955200 132161380 133328000 138661120 150147840 152256000 152493900 156404000 158346240 158593656 159993600 160157696 162493500 162660160 164096000 164944000 165201725 166393344 170659840 173326400 187684800 190617375 195192192 196915200 197932800 198242070 199992000 200197120 203008000 203325200 207991680 211128320 211458208 213324800 216658000 221857792 234606000 240236544 243609600 243990240 246144000 247416000 250246400 254156500 255989760 259584000 259989600 260256256 263910400 264322760 266656000 277322240 300295680 304512000 304987800 312808000 316692480 317187312 319987200 324987000 325320320 328192000 329888000 330403450 332786688 346652800 375369600 381234750 390384384 395865600 396484140 399984000 400394240 406016000 406650400 415983360 422916416 426649600 433316000 443715584 469212000 480473088 487980480 492288000 494832000 495605175 500492800 508313000 511979520 519979200 520512512 527820800 528645520 533312000 554644480 600591360 609024000 609975600 625616000 633384960 634374624 639974400 649974000 650640640 659776000 660806900 665573376 693305600 750739200 762469500 780768768 791731200 792968280 799968000 800788480 813300800 826008625 831966720 845832832 853299200 866632000 938424000 975960960 984576000 989664000 991210350 1000985600 1016626000 1039958400 1041025024 1055641600 1057291040 1066624000 1109288960 1201182720 1218048000 1219951200 1251232000 1268749248 1279948800 1299948000 1301281280 1319552000 1321613800 1331146752 1386611200 1501478400 1524939000 1561537536 1583462400 1585936560 1599936000 1626601600 1652017250 1663933440 1691665664 1733264000 1876848000 1951921920 1979328000 1982420700 2001971200 2033252000 2079916800 2082050048 2114582080 2133248000 2218577920 2402365440 2439902400 2478025875 2502464000 2537498496 2559897600 2599896000 2602562560 2639104000 2643227600 2773222400 3002956800 3049878000 3123075072 3166924800 3171873120 3199872000 3253203200 3304034500 3327866880 3383331328 3466528000 3753696000 3903843840 3958656000 3964841400 4003942400 4066504000 4159833600 4229164160 4266496000 4879804800 4956051750 5004928000 5074996992 5199792000 5205125120 5278208000 5286455200 5546444800 6005913600 6099756000 6246150144 6343746240 6399744000 6506406400 6608069000 6655733760 6766662656 6933056000 7507392000 7807687680 7917312000 7929682800 8133008000 8319667200 8458328320 9759609600 9912103500 10009856000 10149993984 10399584000 10410250240 10572910400 11092889600 12011827200 12199512000 12687492480 12799488000 13012812800 13216138000 13533325312 13866112000 15014784000 15615375360 15834624000 15859365600 16266016000 16639334400 16916656640 19519219200 19824207000 20019712000 20299987968 20799168000 21145820800 24399024000 25374984960 26025625600 26432276000 27066650624 27732224000 30029568000 31230750720 31718731200 32532032000 33278668800 33833313280 39038438400 39648414000 40599975936 41598336000 42291641600 48798048000 50749969920 52051251200 52864552000 55464448000 60059136000 63437462400 65064064000 67666626560 78076876800 79296828000 81199951872 83196672000 84583283200 97596096000 101499939840 105729104000 126874924800 130128128000 135333253120 156153753600 158593656000 166393344000 169166566400 195192192000 202999879680 211458208000 253749849600 260256256000 317187312000 338333132800 390384384000 405999759360 422916416000 507499699200 634374624000 676666265600 780768768000 845832832000 1014999398400 1268749248000 1691665664000 2029998796800 2537498496000 3383331328000 5074996992000 10149993984000
- Sum of all divisors σ(n): 37230538932288
- Sum of proper divisors (its aliquot sum) s(n): 27080544948288
- 10149993984000 is an abundant number, because the sum of its proper divisors (27080544948288) is greater than itself. Its abundance is 16930550964288
Bases of 10149993984000
- Binary: 100100111011001110101100100100110000000000002
- Hexadecimal: 0x93B3AC93000
- Base-36: 3LIUCCPHC
Squares and roots of 10149993984000
- 10149993984000 squared (101499939840002) is 103022377875236192256000000
- 10149993984000 cubed (101499939840003) is 1045676515651022053977467387904000000000
-
The
square root of 10149993984000 is 3185905.5202563683 -
The
cube root of 10149993984000 is 21651.5301924677
Scales and comparisons
How big is 10149993984000?- 10,149,993,984,000 seconds is equal to 322,738 years, 21 weeks, 3 days, 5 hours, 20 minutes.
-
To count from 1 to 10,149,993,984,000 would take you about eight hundred six thousand, eight hundred forty-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 10149993984000 cubic inches would be around 1804.3 feet tall.
Recreational maths with 10149993984000
- 10149993984000 backwards is 00048939994101
- The number of decimal digits it has is: 14
- The sum of 10149993984000's digits is 57
- More coming soon!
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The information we have on file for 10149993984000 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!
Keywords: Divisors of 10149993984000, math, Factors of 10149993984000, curriculum, school, college, exams, university, Prime factorization of 10149993984000, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, one hundred forty-nine billion, nine hundred ninety-three million, nine hundred eighty-four thousand.