12838133168000
12,838,133,168,000 is an even composite number composed of seven prime numbers multiplied together.
12838133168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 12838133168000:
27 × 53 × 7 × 17 × 31 × 199 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 31 × 199 × 1093)See below for interesting mathematical facts about the number 12838133168000 from the Numbermatics database.
Names of 12838133168000
- Cardinal: 12838133168000 can be written as Twelve trillion, eight hundred thirty-eight billion, one hundred thirty-three million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2838133168 × 1013
Factors of 12838133168000
Divisors of 12838133168000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 50 56 62 64 68 70 80 85 100 112 119 124 125 128 136 140 155 160 170 175 199 200 217 224 238 248 250 272 280 310 320 340 350 398 400 425 434 448 476 496 500 527 544 560 595 620 640 680 700 775 796 800 850 868 875 896 952 992 995 1000 1054 1085 1088 1093 1120 1190 1240 1360 1393 1400 1550 1592 1600 1700 1736 1750 1904 1984 1990 2000 2108 2125 2170 2176 2186 2240 2380 2480 2635 2720 2786 2800 2975 3100 3184 3200 3383 3400 3472 3500 3689 3808 3875 3968 3980 4000 4216 4250 4340 4372 4480 4760 4960 4975 5270 5425 5440 5465 5572 5600 5950 6169 6200 6368 6766 6800 6944 6965 7000 7378 7616 7651 7750 7960 8000 8432 8500 8680 8744 9520 9920 9950 10540 10850 10880 10930 11144 11200 11900 12338 12400 12736 13175 13532 13600 13888 13930 14000 14756 14875 15232 15302 15500 15920 16000 16864 16915 17000 17360 17488 18445 18581 19040 19840 19900 21080 21700 21860 22288 22400 23681 23800 24676 24800 24875 25472 26350 27064 27125 27200 27325 27776 27860 28000 29512 29750 30604 30845 31000 31840 33728 33830 33883 34000 34720 34825 34976 36890 37162 38080 38255 39800 42160 43183 43400 43720 44576 47362 47600 49352 49600 49750 52700 54128 54250 54400 54650 55720 56000 59024 59500 61208 61690 62000 63680 65875 67456 67660 67766 68000 69440 69650 69952 73780 74324 76160 76510 79600 84320 84575 86366 86800 87440 89152 92225 92905 94724 95200 98704 99200 99500 104873 105400 108256 108500 109300 111440 112000 118048 118405 119000 122416 123380 124000 127360 130067 131750 135320 135532 136000 136625 138880 139300 139904 147560 148648 153020 154225 159200 168640 169150 169415 172732 173600 174125 174880 178304 184450 185810 189448 190400 191275 197408 199000 209746 210800 215915 216512 217000 217507 218600 222880 236096 236810 237181 238000 244832 246760 248000 260134 263500 270640 271064 272000 273250 278600 295120 297296 306040 308450 318400 337280 338300 338830 345464 347200 348250 349760 368900 371620 378896 380800 382550 394816 398000 419492 421600 422875 431830 433024 434000 435014 437200 445760 461125 464525 472192 473620 474362 476000 489664 493520 496000 520268 524365 527000 541280 542128 546500 557200 576011 590240 592025 594592 612080 616900 636800 650335 676600 677660 690928 694400 696500 699520 734111 737800 743240 757792 765100 771125 789632 796000 838984 843200 845750 847075 863660 868000 870028 874400 891520 922250 929050 947240 948724 952000 956375 979328 987040 1040536 1048730 1054000 1079575 1082560 1084256 1087535 1093000 1114400 1152022 1180480 1184050 1185905 1189184 1224160 1233800 1300670 1353200 1355320 1381856 1393000 1468222 1475600 1486480 1515584 1522549 1530200 1542250 1592000 1677968 1686400 1691500 1694150 1727320 1736000 1740056 1748800 1844500 1858100 1894480 1897448 1904000 1912750 1974080 2081072 2097460 2108000 2159150 2165120 2168512 2175070 2186000 2228800 2304044 2322625 2360960 2368100 2371810 2378368 2448320 2467600 2601340 2621825 2706400 2710640 2763712 2786000 2880055 2936444 2951200 2960125 2972960 3031168 3045098 3060400 3084500 3184000 3251675 3355936 3383000 3388300 3454640 3472000 3480112 3497600 3670555 3689000 3697619 3716200 3788960 3794896 3825500 3948160 4032077 4162144 4194920 4216000 4235375 4318300 4337024 4350140 4372000 4457600 4608088 4645250 4736200 4743620 4896640 4935200 5202680 5243650 5397875 5412800 5421280 5437675 5527424 5572000 5760110 5872888 5902400 5920250 5929525 5945920 6090196 6120800 6169000 6503350 6711872 6742717 6766000 6776600 6909280 6960224 7341110 7378000 7395238 7432400 7577920 7589792 7612745 7651000 8064154 8324288 8389840 8432000 8470750 8636600 8700280 8744000 9216176 9290500 9472400 9487240 9870400 10405360 10487300 10795750 10825600 10842560 10875350 11144000 11520220 11745776 11804800 11840500 11859050 11891840 12180392 12241600 12338000 13006700 13109125 13423744 13485434 13532000 13553200 13818560 13920448 14400275 14682220 14756000 14790476 14864800 15155840 15179584 15225490 15302000 16128308 16258375 16648576 16779680 16941500 17273200 17400560 17488000 18352775 18432352 18488095 18581000 18944800 18974480 19740800 20160385 20810720 20974600 21591500 21685120 21750700 22288000 23040440 23491552 23681000 23718100 24360784 24483200 24676000 25883333 26013400 26218250 26970868 27064000 27106400 27188375 27637120 27840896 28800550 29364440 29512000 29580952 29647625 29729600 30359168 30450980 30604000 32256616 32516750 33559360 33713585 33883000 34546400 34801120 36705550 36864704 36976190 37162000 37889600 37948960 38063725 40320770 41621440 41949200 43183000 43501400 46080880 46983104 47199019 47362000 47436200 48721568 49352000 51766666 52026800 52436500 53941736 54128000 54212800 54376750 57601100 58728880 59024000 59161904 59295250 59459200 60901960 61208000 64513232 65033500 67118720 67427170 67766000 69092800 69602240 72001375 73411100 73729408 73952380 74324000 75779200 75897920 76127450 80641540 83242880 83898400 86366000 87002800 91763875 92161760 92440475 93966208 94398038 94724000 94872400 97443136 98704000 100801925 103533332 104053600 104873000 107883472 108425600 108753500 114626189 115202200 117457760 118323808 118590500 121803920 122416000 129026464 129416665 130067000 134854340 135532000 138185600 139204480 144002750 146822200 147904760 148648000 151795840 152254900 161283080 167796800 168567925 172732000 174005600 183527750 184323520 184880950 188796076 189448000 189744800 190318625 194886272 201603850 207066664 208107200 209746000 215766944 217507000 229252378 230404400 234915520 235995095 236647616 237181000 243607840 258052928 258833330 260134000 269708680 271064000 288005500 293644400 295809520 297296000 304509800 322566160 335593600 337135850 345464000 348011200 367055500 368647040 369761900 377592152 378896000 379489600 380637250 403207700 414133328 416214400 419492000 431533888 435014000 458504756 460808800 462202375 469831040 471990190 473295232 474362000 487215680 504009625 516105856 517666660 520268000 539417360 542128000 573130945 576011000 587288800 591619040 609019600 645132320 647083325 674271700 690928000 696022400 734111000 739523800 755184304 758979200 761274500 802383323 806415400 828266656 838984000 842839625 863067776 870028000 917009512 921617600 924404750 943980380 948724000 974431360 1008019250 1035333320 1040536000 1078834720 1146261890 1152022000 1174577600 1179975475 1183238080 1218039200 1290264640 1294166650 1348543400 1468222000 1479047600 1510368608 1522549000 1604766646 1612830800 1656533312 1677968000 1685679250 1740056000 1834019024 1843235200 1848809500 1887960760 1897448000 2016038500 2070666640 2081072000 2157669440 2292523780 2304044000 2349155200 2359950950 2366476160 2436078400 2580529280 2588333300 2697086800 2865654725 2936444000 2958095200 3020737216 3045098000 3209533292 3225661600 3235416625 3313066624 3371358500 3480112000 3668038048 3697619000 3775921520 3794896000 4011916615 4032077000 4141333280 4315338880 4585047560 4608088000 4719901900 4872156800 5176666600 5394173600 5731309450 5872888000 5899877375 5916190400 6041474432 6090196000 6419066584 6451323200 6470833250 6742717000 7336076096 7395238000 7551843040 8023833230 8064154000 8282666560 9170095120 9216176000 9439803800 10353333200 10788347200 11462618900 11745776000 11799754750 11832380800 12180392000 12838133168 12902646400 12941666500 13485434000 14328273625 14672152192 14790476000 15103686080 16047666460 16128308000 16565333120 18340190240 18879607600 20059583075 20706666400 21576694400 22925237800 23599509500 24360784000 25676266336 25883333000 26970868000 28656547250 29580952000 30207372160 32095332920 32256616000 36680380480 37759215200 40119166150 41413332800 45850475600 47199019000 51352532672 51766666000 53941736000 57313094500 59161904000 64190665840 64513232000 73360760960 75518430400 80238332300 82826665600 91700951200 94398038000 100297915375 102705065344 103533332000 107883472000 114626189000 128381331680 151036860800 160476664600 183401902400 188796076000 200595830750 207066664000 229252378000 256762663360 320953329200 366803804800 377592152000 401191661500 414133328000 458504756000 513525326720 641906658400 755184304000 802383323000 917009512000 1283813316800 1604766646000 1834019024000 2567626633600 3209533292000 6419066584000 12838133168000
- Sum of all divisors σ(n): 40107405312000
- Sum of proper divisors (its aliquot sum) s(n): 27269272144000
- 12838133168000 is an abundant number, because the sum of its proper divisors (27269272144000) is greater than itself. Its abundance is 14431138976000
Bases of 12838133168000
- Binary: 101110101101000111000101110111110111100000002
- Hexadecimal: 0xBAD1C5DF780
- Base-36: 4JTR90MM8
Squares and roots of 12838133168000
- 12838133168000 squared (128381331680002) is 164817663239301716224000000
- 12838133168000 cubed (128381331680003) is 2115951109104733684214658117632000000000
-
The
square root of 12838133168000 is 3583034.0729610707 -
The
cube root of 12838133168000 is 23415.3484713877
Scales and comparisons
How big is 12838133168000?- 12,838,133,168,000 seconds is equal to 408,212 years, 48 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 12,838,133,168,000 would take you about one million, twenty thousand, five hundred thirty-two 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 12838133168000 cubic inches would be around 1951.3 feet tall.
Recreational maths with 12838133168000
- 12838133168000 backwards is 00086133183821
- The number of decimal digits it has is: 14
- The sum of 12838133168000's digits is 44
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 12838133168000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 12838133168000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/12838133168000/
Chicago style:
Numbermatics. 2024. "Number 12838133168000 - Facts about the integer". https://numbermatics.com/n/12838133168000/
The information we have on file for 12838133168000 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 12838133168000, math, Factors of 12838133168000, curriculum, school, college, exams, university, Prime factorization of 12838133168000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, eight hundred thirty-eight billion, one hundred thirty-three million, one hundred sixty-eight thousand.