13862428038144
13,862,428,038,144 is an even composite number composed of five prime numbers multiplied together.
What does the number 13862428038144 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
13862428038144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13862428038144:
210 × 33 × 72 × 233 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 23 × 23 × 23 × 29 × 29)See below for interesting mathematical facts about the number 13862428038144 from the Numbermatics database.
Names of 13862428038144
- Cardinal: 13862428038144 can be written as Thirteen trillion, eight hundred sixty-two billion, four hundred twenty-eight million, thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3862428038144 × 1013
Factors of 13862428038144
Divisors of 13862428038144
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 29 32 36 42 46 48 49 54 56 58 63 64 69 72 84 87 92 96 98 108 112 116 126 128 138 144 147 161 168 174 184 189 192 196 203 207 216 224 232 252 256 261 276 288 294 322 336 348 368 378 384 392 406 414 432 441 448 464 483 504 512 522 529 552 576 588 609 621 644 667 672 696 736 756 768 783 784 812 828 841 864 882 896 928 966 1008 1024 1044 1058 1104 1127 1152 1176 1218 1242 1288 1323 1334 1344 1392 1421 1449 1472 1512 1536 1566 1568 1587 1624 1656 1682 1728 1764 1792 1827 1856 1932 2001 2016 2088 2116 2208 2254 2304 2352 2436 2484 2523 2576 2646 2668 2688 2784 2842 2898 2944 3024 3072 3132 3136 3174 3248 3312 3364 3381 3456 3528 3584 3654 3703 3712 3864 4002 4032 4176 4232 4263 4347 4416 4508 4608 4669 4704 4761 4872 4968 5046 5152 5292 5336 5376 5481 5568 5684 5796 5887 5888 6003 6048 6264 6272 6348 6496 6624 6728 6762 6912 7056 7168 7308 7406 7424 7569 7728 8004 8064 8352 8464 8526 8694 8832 9016 9216 9338 9408 9522 9744 9936 10092 10143 10304 10584 10672 10752 10962 11109 11136 11368 11592 11774 11776 12006 12096 12167 12528 12544 12696 12789 12992 13248 13456 13524 13824 14007 14112 14283 14616 14812 14848 15138 15341 15456 16008 16128 16704 16928 17052 17388 17661 17664 18009 18032 18676 18816 19044 19343 19488 19872 20184 20286 20608 21168 21344 21504 21924 22218 22272 22707 22736 23184 23548 23552 24012 24192 24334 25056 25088 25392 25578 25921 25984 26496 26912 27048 27648 28014 28224 28566 29232 29624 29696 30276 30429 30682 30912 32016 32256 32683 33327 33408 33856 34104 34776 35322 35328 36018 36064 36501 37352 37632 38088 38367 38686 38976 39744 40368 40572 41209 41216 42021 42336 42688 43848 44436 44544 45414 45472 46023 46368 47096 48024 48384 48668 50112 50176 50784 51156 51842 51968 52983 52992 53824 54096 56028 56448 57132 58029 58464 59248 60552 60858 61364 61824 64032 64512 65366 66654 66816 67712 68208 69552 70644 70656 72036 72128 73002 74704 75264 76176 76734 77372 77763 77952 79488 80736 81144 82418 82432 84042 84672 85169 85376 87696 88872 89088 90828 90944 92046 92736 94192 96048 96768 97336 98049 99981 100224 101568 102312 103684 103936 105966 105984 107387 107648 108192 109503 112056 112896 114264 116058 116928 118496 121104 121716 122728 123627 123648 126063 128064 130732 133308 133632 135401 135424 136416 138069 139104 141288 144072 144256 146004 149408 150528 152352 153468 154744 155526 155904 158949 158976 161472 162288 164836 164864 168084 169344 170338 170752 174087 175392 177744 181656 181888 184092 185472 188384 192096 193536 194672 196098 199962 200448 203136 204624 207368 207872 211932 211968 214774 215296 216384 219006 224112 225792 228528 232116 233289 233856 236992 242208 243432 245456 247254 247296 252126 255507 256128 261464 266616 267264 270802 270848 272832 276138 278208 282576 288144 288512 292008 294147 298816 304704 306936 309488 311052 311808 317898 317952 322161 322944 324576 328509 329672 336168 338688 340676 341504 348174 350784 352843 355488 363312 363776 368184 370881 370944 376768 384192 389344 392196 399924 400896 406203 406272 409248 414207 414736 423864 429548 430592 432768 438012 444889 448224 451584 457056 464232 466578 467712 473984 484416 486864 490912 494508 494592 504252 511014 512256 522261 522928 533232 541604 541696 545664 552276 556416 565152 576288 577024 584016 588294 596183 597632 609408 613872 618976 622104 623616 635796 635904 644322 645888 649152 657018 659344 672336 677376 681352 683008 696348 699867 701568 705686 710976 726624 727552 736368 741762 741888 751709 753536 766521 768384 778688 784392 799848 801792 812406 812544 818496 828414 829472 847728 859096 861184 865536 876024 882441 889778 896448 914112 928464 933156 935424 947807 947968 966483 968832 973728 981824 989016 1008504 1022028 1024512 1044522 1045856 1058529 1066464 1083208 1091328 1104552 1112643 1112832 1130304 1152576 1154048 1168032 1176588 1192366 1195264 1218609 1218816 1227744 1237952 1244208 1271592 1288644 1291776 1298304 1314036 1318688 1334667 1344672 1354752 1362704 1392696 1399734 1403136 1411372 1421952 1453248 1455104 1472736 1483524 1483776 1503418 1507072 1533042 1536768 1557376 1568784 1599696 1624812 1625088 1636992 1656828 1658944 1695456 1718192 1731072 1752048 1764882 1779556 1788549 1792896 1828224 1856928 1866312 1870848 1895614 1895936 1932966 1937664 1947456 1963648 1978032 2017008 2044056 2049024 2089044 2091712 2117058 2132928 2166416 2182656 2209104 2225286 2225664 2255127 2260608 2299563 2305152 2336064 2353176 2384732 2390528 2437218 2437632 2455488 2469901 2475904 2488416 2543184 2577288 2583552 2596608 2628072 2637376 2669334 2689344 2725408 2785392 2799468 2806272 2822744 2843421 2843904 2899449 2906496 2945472 2967048 3006836 3014144 3066084 3073536 3114223 3114752 3137568 3175587 3199392 3249624 3273984 3313656 3317888 3390912 3436384 3462144 3504096 3529764 3559112 3577098 3585792 3655827 3656448 3713856 3732624 3791228 3791872 3865932 3875328 3894912 3927296 3956064 4004001 4034016 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1146034064 1154625024 1177176294 1177376256 1195861632 1219425408 1244830104 1247855616 1264589312 1289288322 1298953152 1309753216 1345344336 1366699008 1373605632 1395171904 1422662976 1455831552 1473472368 1484517888 1504169709 1537536384 1569568392 1594482176 1625900544 1637810496 1659773472 1719051096 1731937536 1793792448 1831474176 1867245156 1871783424 1896883968 1933932483 1964629824 2005559612 2050048512 2060408448 2092757856 2133994464 2183747328 2210208552 2213031296 2292068128 2309250048 2354352588 2354752512 2391723264 2438850816 2489660208 2529178624 2578576644 2597906304 2619506432 2690688672 2747211264 2790343808 2845325952 2911663104 2946944736 2969035776 3008339418 3075072768 3139136784 3188964352 3251801088 3275620992 3319546944 3438102192 3463875072 3587584896 3734490312 3743566848 3793767936 3867864966 3929259648 4011119224 4100097024 4120816896 4185515712 4267988928 4367494656 4420417104 4426062592 4512509127 4584136256 4708705176 4783446528 4877701632 4979320416 5157153288 5195812608 5239012864 5381377344 5494422528 5580687616 5690651904 5893889472 6016678836 6150145536 6278273568 6551241984 6639093888 6876204384 6927750144 7175169792 7468980624 7587535872 7735729932 7858519296 8022238448 8241633792 8371031424 8535977856 8734989312 8840834208 8852125184 9025018254 9168272512 9417410352 9566893056 9755403264 9958640832 10314306576 10391625216 10478025728 10762754688 11161375232 11381303808 11787778944 12033357672 12300291072 12556547136 13102483968 13278187776 13537527381 13752408768 14350339584 14937961248 15471459864 15717038592 16044476896 16483267584 16742062848 17071955712 17681668416 17704250368 18050036508 18336545024 18834820704 19917281664 20628613152 20783250432 21525509376 22322750464 22762607616 23575557888 24066715344 25113094272 26204967936 26556375552 27075054762 27504817536 28700679168 29875922496 30942919728 31434077184 32088953792 33484125696 34143911424 35363336832 36100073016 36673090048 37669641408 39834563328 41257226304 43051018752 47151115776 48133430688 50226188544 53112751104 54150109524 55009635072 59751844992 61885839456 64177907584 66968251392 68287822848 70726673664 72200146032 73346180096 75339282816 79669126656 82514452608 86102037504 94302231552 96266861376 100452377088 108300219048 110019270144 119503689984 123771678912 128355815168 141453347328 144400292064 150678565632 159338253312 165028905216 192533722752 200904754176 216600438096 220038540288 239007379968 247543357824 256711630336 282906694656 288800584128 301357131264 330057810432 385067445504 433200876192 478014759936 495086715648 513423260672 577601168256 602714262528 660115620864 770134891008 866401752384 990173431296 1155202336512 1540269782016 1732803504768 1980346862592 2310404673024 3465607009536 4620809346048 6931214019072 13862428038144
- Sum of all divisors σ(n): 51708025699200
- Sum of proper divisors (its aliquot sum) s(n): 37845597661056
- 13862428038144 is an abundant number, because the sum of its proper divisors (37845597661056) is greater than itself. Its abundance is 23983169622912
Bases of 13862428038144
- Binary: 110010011011100110010001100101010100000000002
- Hexadecimal: 0xC9B99195400
- Base-36: 4WWB7QIO0
Squares and roots of 13862428038144
- 13862428038144 squared (138624280381442) is 192166911112720908718964736
- 13862428038144 cubed (138624280381443) is 2663899976612508138694847229515198889984
-
The
square root of 13862428038144 is 3723228.1743325911 -
The
cube root of 13862428038144 is 24022.2178735737
Scales and comparisons
How big is 13862428038144?- 13,862,428,038,144 seconds is equal to 440,782 years, 17 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,862,428,038,144 would take you about one million, one hundred one thousand, nine hundred fifty-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 13862428038144 cubic inches would be around 2001.9 feet tall.
Recreational maths with 13862428038144
- 13862428038144 backwards is 44183082426831
- 13862428038144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13862428038144's digits is 54
- More coming soon!
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The information we have on file for 13862428038144 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 13862428038144, math, Factors of 13862428038144, curriculum, school, college, exams, university, Prime factorization of 13862428038144, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred sixty-two billion, four hundred twenty-eight million, thirty-eight thousand, one hundred forty-four.