12890374016000
12,890,374,016,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12890374016000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 704 divisors.
12890374016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 12890374016000:
210 × 53 × 13 × 127 × 181 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 127 × 181 × 337)See below for interesting mathematical facts about the number 12890374016000 from the Numbermatics database.
Names of 12890374016000
- Cardinal: 12890374016000 can be written as Twelve trillion, eight hundred ninety billion, three hundred seventy-four million, sixteen thousand.
Scientific notation
- Scientific notation: 1.2890374016 × 1013
Factors of 12890374016000
Divisors of 12890374016000
- Number of divisors d(n): 704
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 127 128 130 160 181 200 208 250 254 256 260 320 325 337 362 400 416 500 508 512 520 635 640 650 674 724 800 832 905 1000 1016 1024 1040 1270 1280 1300 1348 1448 1600 1625 1651 1664 1685 1810 2000 2032 2080 2353 2540 2560 2600 2696 2896 3175 3200 3250 3302 3328 3370 3620 4000 4064 4160 4381 4525 4706 5080 5120 5200 5392 5792 6350 6400 6500 6604 6656 6740 7240 8000 8128 8255 8320 8425 8762 9050 9412 10160 10400 10784 11584 11765 12700 12800 13000 13208 13312 13480 14480 15875 16000 16256 16510 16640 16850 17524 18100 18824 20320 20800 21568 21905 22625 22987 23168 23530 25400 25600 26000 26416 26960 28960 31750 32000 32512 33020 33280 33700 35048 36200 37648 40640 41275 41600 42125 42799 43136 43810 45250 45974 46336 47060 50800 52000 52832 53920 57920 58825 60997 63500 64000 65024 66040 66560 67400 70096 72400 75296 81280 82550 83200 84250 85598 86272 87620 90500 91948 92672 94120 101600 104000 105664 107840 109525 114935 115840 117650 121994 127000 128000 130048 132080 134800 140192 144800 150592 162560 165100 166400 168500 171196 172544 175240 181000 183896 185344 188240 203200 206375 208000 211328 213995 215680 219050 229870 231680 235300 243988 254000 264160 269600 280384 289600 294125 298831 301184 304985 325120 330200 332800 337000 342392 345088 350480 362000 367792 376480 406400 412750 416000 422656 427990 431360 438100 459740 463360 470600 487976 508000 528320 539200 547625 556387 560768 574675 579200 588250 597662 602368 609970 650240 660400 674000 684784 700960 724000 735584 752960 792961 812800 825500 832000 845312 855980 862720 876200 919480 926720 941200 975952 1016000 1056640 1069975 1078400 1095250 1112774 1121536 1149350 1158400 1176500 1195324 1204736 1219940 1320800 1348000 1369568 1401920 1448000 1471168 1494155 1505920 1524925 1585922 1625600 1651000 1664000 1690624 1711960 1725440 1752400 1838960 1882400 1951904 2032000 2113280 2139950 2156800 2190500 2225548 2243072 2298700 2316800 2353000 2390648 2409472 2439880 2641600 2696000 2739136 2781935 2803840 2873375 2896000 2942336 2988310 3011840 3049850 3171844 3251200 3302000 3423920 3504800 3677920 3764800 3903808 3964805 4064000 4226560 4279900 4313600 4381000 4451096 4486144 4597400 4633600 4706000 4781296 4879760 5283200 5349875 5392000 5478272 5563870 5607680 5746750 5792000 5884672 5976620 6023680 6099700 6343688 6604000 6847840 7009600 7355840 7470775 7529600 7624625 7746619 7807616 7929610 8128000 8453120 8559800 8627200 8762000 8902192 9194800 9412000 9562592 9759520 10566400 10699750 10784000 10956544 11127740 11215360 11493500 11584000 11769344 11953240 12047360 12199400 12687376 13208000 13695680 13909675 14019200 14711680 14941550 15059200 15249250 15493238 15615232 15859220 16256000 17119600 17524000 17804384 18389600 18824000 19125184 19519040 19824025 21132800 21399500 21568000 21913088 22255480 22430720 22987000 23168000 23538688 23906480 24398800 25374752 26416000 27391360 27819350 28038400 29423360 29883100 30118400 30498500 30986476 31230464 31718440 34239200 35048000 35608768 36779200 37353875 37648000 38250368 38733095 39038080 39648050 42265600 42799000 43136000 43826176 44510960 45974000 47812960 48797600 50749504 52832000 54782720 55638700 56076800 58846720 59766200 60236800 60997000 61972952 62460928 63436880 68478400 69548375 70096000 71217536 73558400 74707750 75296000 76500736 77466190 78076160 79296100 85598000 89021920 91948000 95625920 97595200 99120125 100706047 101499008 105664000 109565440 111277400 112153600 117693440 119532400 121994000 123945904 126873760 136956800 139096750 140192000 142435072 147116800 149415500 150592000 153001472 154932380 156152320 158592200 171196000 178043840 183896000 191251840 193665475 195190400 198240250 201412094 202998016 211328000 219130880 222554800 239064800 243988000 247891808 253747520 273913600 278193500 280384000 284870144 294233600 298831000 301184000 306002944 309864760 312304640 317184400 342392000 356087680 367792000 382503680 387330950 390380800 396480500 402824188 405996032 445109600 478129600 487976000 495783616 503530235 507495040 547827200 556387000 560768000 569740288 588467200 597662000 619729520 634368800 684784000 712175360 735584000 765007360 774661900 780761600 792961000 805648376 811992064 890219200 956259200 968327375 975952000 991567232 1007060470 1014990080 1095654400 1112774000 1195324000 1239459040 1268737600 1369568000 1424350720 1471168000 1530014720 1549323800 1561523200 1585922000 1611296752 1780438400 1912518400 1936654750 1951904000 1983134464 2014120940 2029980160 2225548000 2390648000 2478918080 2517651175 2537475200 2739136000 2848701440 2942336000 3098647600 3171844000 3222593504 3560876800 3825036800 3873309500 3903808000 3966268928 4028241880 4059960320 4451096000 4781296000 4957836160 5035302350 5074950400 5478272000 6197295200 6343688000 6445187008 7121753600 7650073600 7746619000 7807616000 7932537856 8056483760 8902192000 9562592000 9915672320 10070604700 10149900800 12394590400 12588255875 12687376000 12890374016 14243507200 15493238000 16112967520 17804384000 19125184000 19831344640 20141209400 20299801600 24789180800 25176511750 25374752000 25780748032 30986476000 32225935040 35608768000 38250368000 39662689280 40282418800 49578361600 50353023500 50749504000 51561496064 61972952000 64451870080 71217536000 80564837600 99156723200 100706047000 101499008000 103122992128 123945904000 128903740160 161129675200 198313446400 201412094000 247891808000 257807480320 322259350400 402824188000 495783616000 515614960640 644518700800 805648376000 991567232000 1289037401600 1611296752000 2578074803200 3222593504000 6445187008000 12890374016000
- Sum of all divisors σ(n): 35202096943104
- Sum of proper divisors (its aliquot sum) s(n): 22311722927104
- 12890374016000 is an abundant number, because the sum of its proper divisors (22311722927104) is greater than itself. Its abundance is 9421348911104
Bases of 12890374016000
- Binary: 101110111001010001100010101000001100000000002
- Hexadecimal: 0xBB9462A0C00
- Base-36: 4KHR7VAWW
Squares and roots of 12890374016000
- 12890374016000 squared (128903740160002) is 166161742272367968256000000
- 12890374016000 cubed (128903740160003) is 2141887005041020852797855236096000000000
-
The
square root of 12890374016000 is 3590316.7013510103 -
The
cube root of 12890374016000 is 23447.0660165115
Scales and comparisons
How big is 12890374016000?- 12,890,374,016,000 seconds is equal to 409,874 years, 1 week, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 12,890,374,016,000 would take you about one million, twenty-four thousand, six hundred eighty-five 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 12890374016000 cubic inches would be around 1953.9 feet tall.
Recreational maths with 12890374016000
- 12890374016000 backwards is 00061047309821
- The number of decimal digits it has is: 14
- The sum of 12890374016000's digits is 41
- More coming soon!
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