14424074437968
14,424,074,437,968 is an even composite number composed of eight prime numbers multiplied together.
14424074437968 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 14424074437968:
24 × 33 × 13 × 23 × 61 × 67 × 89 × 307
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 23 × 61 × 67 × 89 × 307)See below for interesting mathematical facts about the number 14424074437968 from the Numbermatics database.
Names of 14424074437968
- Cardinal: 14424074437968 can be written as Fourteen trillion, four hundred twenty-four billion, seventy-four million, four hundred thirty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.4424074437968 × 1013
Factors of 14424074437968
Divisors of 14424074437968
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 36 39 46 48 52 54 61 67 69 72 78 89 92 104 108 117 122 134 138 144 156 178 183 184 201 207 208 216 234 244 267 268 276 299 307 312 351 356 366 368 402 414 432 468 488 534 536 549 552 598 603 614 621 624 702 712 732 793 801 804 828 871 897 921 936 976 1068 1072 1098 1104 1157 1196 1206 1228 1242 1403 1404 1424 1464 1541 1586 1602 1608 1647 1656 1742 1794 1809 1842 1872 2047 2136 2196 2314 2379 2392 2403 2412 2456 2484 2613 2691 2763 2806 2808 2928 3082 3172 3204 3216 3294 3312 3471 3484 3588 3618 3684 3991 4087 4094 4209 4272 4392 4623 4628 4758 4784 4806 4824 4912 4968 5226 5382 5429 5526 5612 5616 5963 6141 6164 6344 6408 6588 6942 6968 7061 7137 7176 7236 7368 7839 7982 8073 8174 8188 8289 8418 8784 9246 9256 9516 9612 9648 9936 10413 10452 10764 10858 11052 11224 11926 11973 12261 12282 12328 12627 12688 12816 13176 13869 13884 13936 14122 14274 14352 14472 14736 15678 15964 16146 16287 16348 16376 16578 16836 17889 18239 18423 18492 18512 18727 19032 19224 20033 20569 20826 20904 21183 21411 21528 21716 22104 22448 23517 23852 23946 24522 24564 24656 25254 26352 26611 27323 27738 27768 28244 28548 28944 31239 31356 31928 32292 32574 32696 32752 33156 33672 35778 35919 36478 36783 36846 36984 37454 37881 38064 38448 40066 41138 41607 41652 41808 42366 42822 43056 43432 44208 47034 47704 47892 48861 49044 49128 50508 53131 53222 53667 54646 54717 55269 55476 55536 56181 56488 57096 60099 61707 62478 62712 63549 63856 64584 65148 65392 66312 67344 70577 71556 71838 72956 73566 73692 73968 74908 75762 77519 79833 80132 81969 82276 83214 83304 84732 85644 86864 91793 94001 94068 95408 95784 97722 98088 98256 101016 106262 106444 107334 107757 109292 109434 110349 110538 110952 112362 112976 114192 120198 123414 124867 124956 125424 127098 129168 130296 132624 137149 141154 143112 143676 145912 146583 147132 147384 149816 151524 155038 159393 159666 160264 161001 163938 164151 164552 166428 166608 168543 169464 171288 180297 183586 185121 188002 188136 190647 191568 195444 196176 202032 211731 212524 212888 214668 215514 218584 218868 220698 221076 221904 224724 232557 239499 240396 243451 245907 246828 249734 249912 254196 260592 267397 274298 275379 282003 282308 286224 287352 291824 293166 294264 294768 299632 303048 310076 318786 319332 320528 322002 327876 328302 329104 332856 337086 338928 342576 355199 360594 363743 367172 370242 374601 376004 376272 381294 390888 411447 423462 425048 425776 429336 430721 431028 437168 437736 441396 442152 449448 465114 473087 478179 478998 480792 486902 491814 492453 493656 499468 499824 505629 508392 534794 540891 548596 550758 555363 564006 564616 574704 586332 588528 606096 620152 628429 635193 637572 638664 644004 655752 656604 665712 674172 697671 710398 718497 721188 727486 730353 734344 737721 740484 749202 752008 762588 781776 802191 822894 826137 846009 846924 850096 858672 861442 862056 875472 882792 884304 898896 930228 946174 956358 957996 961584 973804 983628 984906 987312 998936 1011258 1016784 1065597 1069588 1081782 1091229 1097192 1101516 1110726 1123803 1128012 1129232 1172664 1222013 1234341 1240304 1254709 1256858 1270386 1275144 1277328 1288008 1292163 1311504 1313208 1348344 1395342 1419261 1420796 1434537 1436994 1442376 1454972 1460706 1468688 1475442 1480968 1498404 1504016 1525176 1604382 1623271 1645788 1652274 1666703 1692018 1693848 1722884 1724112 1765584 1782937 1830641 1860456 1885287 1892348 1905579 1912716 1915992 1947608 1967256 1969812 1997872 2022516 2093013 2131194 2139176 2163564 2182458 2191059 2194384 2203032 2221452 2247606 2256024 2345328 2406573 2444026 2468682 2478411 2509418 2513716 2538027 2540772 2550288 2576016 2584326 2626416 2696688 2790684 2838522 2841592 2869074 2873988 2884752 2909944 2921412 2950884 2961936 2996808 3050352 3196791 3208764 3246542 3273687 3291576 3304548 3333406 3371409 3384036 3387696 3445768 3565874 3661282 3666039 3703023 3720912 3764127 3770574 3784696 3811158 3825432 3831984 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996688394 1005021909 1010513832 1021390344 1035022563 1038899052 1040022672 1094723318 1125473973 1136828061 1142319984 1170025506 1174407624 1176419088 1204716816 1209464568 1285109982 1305109884 1328428296 1340029212 1380030084 1385198736 1451698313 1495032591 1500631964 1515770748 1558348578 1560034008 1642084977 1713479976 1740146512 1761611436 1764628632 1786705616 1807075224 1840040112 1957664826 1993376788 2010043818 2021027664 2042780688 2070045126 2077798104 2189446636 2250947946 2273656122 2340051012 2348815248 2418929136 2568389323 2570219964 2610219768 2656856592 2680058424 2760060168 2903396626 2936497239 2990065182 3001263928 3015065727 3031541496 3116697156 3120068016 3284169954 3376421919 3426959952 3523222872 3529257264 3614150448 3915329652 3986753576 4020087636 4140090252 4155596208 4355094939 4378893272 4485097773 4501895892 4547312244 4680102024 4926254931 5136778646 5140439928 5220439536 5360116848 5520120336 5806793252 5872994478 5980130364 6002527856 6030131454 6063082992 6233394312 6568339908 6752843838 7046445744 7705167969 7830659304 7973507152 8040175272 8280180504 8710189878 8757786544 8970195546 9003791784 9094624488 9360204048 9852509862 10129265757 10273557292 10280879856 11613586504 11745988956 11960260728 12060262908 12466788624 13065284817 13136679816 13455293319 13505687676 14778764793 15410335938 15661318608 16080350544 16560361008 17420379756 17940391092 18007583568 18189248976 19705019724 20258531514 20547114584 23115503907 23227173008 23491977912 23920521456 24120525816 26130569634 26273359632 26910586638 27011375352 29557529586 30820671876 33389061199 34840759512 35880782184 39195854451 39410039448 40517063028 41094229168 46231007814 46983955824 48241051632 52261139268 53821173276 54022750704 59115059172 61641343752 66778122398 69346511721 69681519024 71761564368 78391708902 78820078896 81034126056 92462015628 100167183597 104522278536 107642346552 118230118344 123282687504 133556244796 138693023442 156783417804 162068252112 184924031256 200334367194 209044557072 215284693104 236460236688 267112489592 277386046884 300501550791 313566835608 369848062512 400668734388 534224979184 554772093768 601003101582 627133671216 801337468776 901504652373 1109544187536 1202006203164 1602674937552 1803009304746 2404012406328 3606018609492 4808024812656 7212037218984 14424074437968
- Sum of all divisors σ(n): 48691683532800
- Sum of proper divisors (its aliquot sum) s(n): 34267609094832
- 14424074437968 is an abundant number, because the sum of its proper divisors (34267609094832) is greater than itself. Its abundance is 19843534656864
Bases of 14424074437968
- Binary: 110100011110010111011101010101000101010100002
- Hexadecimal: 0xD1E5DD54550
- Base-36: 542BTI2C0
Squares and roots of 14424074437968
- 14424074437968 squared (144240744379682) is 208053923392041875079969024
- 14424074437968 cubed (144240744379683) is 3000985278118103737418025064907649503232
-
The
square root of 14424074437968 is 3797903.9532310451 -
The
cube root of 14424074437968 is 24342.3583591917
Scales and comparisons
How big is 14424074437968?- 14,424,074,437,968 seconds is equal to 458,640 years, 49 weeks, 2 days, 23 hours, 52 minutes, 48 seconds.
-
To count from 1 to 14,424,074,437,968 would take you about one million, one hundred forty-six thousand, six hundred 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 14424074437968 cubic inches would be around 2028.5 feet tall.
Recreational maths with 14424074437968
- 14424074437968 backwards is 86973447042441
- The number of decimal digits it has is: 14
- The sum of 14424074437968's digits is 63
- More coming soon!
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The information we have on file for 14424074437968 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 14424074437968, math, Factors of 14424074437968, curriculum, school, college, exams, university, Prime factorization of 14424074437968, STEM, science, technology, engineering, physics, economics, calculator, fourteen trillion, four hundred twenty-four billion, seventy-four million, four hundred thirty-seven thousand, nine hundred sixty-eight.