3960480940416
3,960,480,940,416 is an even composite number composed of seven prime numbers multiplied together.
3960480940416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 3960480940416:
27 × 32 × 7 × 11 × 132 × 612 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 13 × 13 × 61 × 61 × 71)See below for interesting mathematical facts about the number 3960480940416 from the Numbermatics database.
Names of 3960480940416
- Cardinal: 3960480940416 can be written as Three trillion, nine hundred sixty billion, four hundred eighty million, nine hundred forty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 3.960480940416 × 1012
Factors of 3960480940416
Divisors of 3960480940416
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 52 56 61 63 64 66 71 72 77 78 84 88 91 96 99 104 112 117 122 126 128 132 142 143 144 154 156 168 169 176 182 183 192 198 208 213 224 231 234 244 252 264 273 284 286 288 308 312 336 338 352 364 366 384 396 416 426 427 429 448 462 468 488 497 504 507 528 546 549 568 572 576 616 624 639 671 672 676 693 704 728 732 781 792 793 819 832 852 854 858 896 923 924 936 976 994 1001 1008 1014 1056 1092 1098 1136 1144 1152 1183 1232 1248 1278 1281 1287 1342 1344 1352 1386 1408 1456 1464 1491 1521 1562 1584 1586 1638 1664 1704 1708 1716 1846 1848 1859 1872 1952 1988 2002 2013 2016 2028 2112 2184 2196 2272 2288 2343 2366 2379 2464 2496 2556 2562 2574 2684 2688 2704 2769 2772 2912 2928 2982 3003 3042 3124 3168 3172 3276 3408 3416 3432 3549 3692 3696 3718 3721 3744 3843 3904 3976 4004 4026 4032 4056 4224 4331 4368 4392 4473 4544 4576 4686 4697 4732 4758 4928 4992 5112 5124 5148 5368 5408 5467 5538 5544 5551 5577 5824 5856 5964 6006 6039 6084 6248 6336 6344 6461 6552 6816 6832 6864 7029 7098 7137 7384 7392 7436 7442 7488 7686 7808 7952 8008 8052 8064 8112 8307 8662 8723 8736 8784 8946 9009 9088 9152 9372 9394 9464 9516 9856 10153 10224 10248 10296 10309 10647 10736 10816 10934 11076 11088 11102 11154 11163 11648 11712 11928 11999 12012 12078 12168 12496 12672 12688 12922 12993 13013 13104 13632 13664 13728 14058 14091 14196 14274 14768 14784 14872 14884 14976 15372 15904 16016 16104 16224 16401 16614 16653 16731 17324 17446 17472 17568 17892 18018 18304 18744 18788 18928 19032 19383 20306 20448 20496 20592 20618 21294 21472 21632 21868 22152 22176 22204 22308 22326 23424 23856 23998 24024 24156 24336 24992 25376 25844 25986 26026 26047 26169 26208 27264 27328 27456 28116 28182 28392 28548 29536 29568 29744 29768 30317 30459 30744 30927 31808 32032 32208 32448 32802 33228 33306 33462 33489 34648 34892 34944 35136 35784 35997 36036 37488 37576 37856 38064 38766 38979 39039 40612 40896 40931 40992 41184 41236 42273 42588 42944 43736 44304 44352 44408 44616 44652 47641 47712 47996 48048 48312 48373 48672 49203 49959 49984 50752 51688 51972 52052 52094 52338 52416 54656 54912 56232 56303 56364 56784 57096 58149 59072 59488 59536 60634 60918 61061 61488 61854 63616 64064 64416 64896 65604 66456 66612 66924 66978 69296 69784 70272 71071 71568 71994 72072 72163 74976 75152 75712 76128 77532 77958 78078 78141 78507 81224 81792 81862 81984 82368 82472 83993 84546 85176 85888 87472 88608 88704 88816 89232 89304 90951 91377 92781 95282 95424 95992 96096 96624 96746 97344 98406 99918 99968 101504 103376 103944 104104 104188 104676 104832 107991 112464 112606 112728 113399 113568 114192 116298 117117 118144 118976 119072 121268 121836 122122 122793 122976 123708 128128 128832 131208 131989 132912 133224 133848 133956 138592 139568 142142 142923 143136 143988 144144 144326 145119 149952 150304 151424 152256 155064 155916 156156 156282 157014 162448 163724 163968 164736 164944 167986 168909 169092 170352 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836957088 843193728 845173056 865489716 871584714 885419392 901748848 906703512 914449536 937613859 976449936 982262138 983726016 989131104 996096816 1014467454 1030570112 1057820764 1064359296 1065218112 1071558696 1072719648 1115942784 1153986288 1159391376 1162112952 1208938016 1248575328 1250151812 1267759584 1301933248 1318841472 1328129088 1352623272 1360055268 1428744928 1430292864 1464674904 1473393207 1475589024 1538648384 1545855168 1549483936 1586731146 1607338044 1664767104 1673914176 1690346112 1730979432 1743169428 1803497696 1813407024 1875227718 1952899872 1964524276 1967452032 1978262208 1992193632 2028934908 2115641528 2130436224 2143117392 2145439296 2307972576 2318782752 2324225904 2380096719 2417876032 2497150656 2500303624 2535519168 2603866496 2656258176 2705246544 2720110536 2812841577 2857489856 2929349808 2946786414 2951178048 3077296768 3091710336 3098967872 3173462292 3214676088 3347828352 3437917483 3461958864 3486338856 3606995392 3626814048 3750455436 3905799744 3929048552 3956524416 3984387264 4057869816 4231283056 4286234784 4290878592 4420179621 4615945152 4637565504 4648451808 4760193438 4835752064 4994301312 5000607248 5071038336 5410493088 5440221072 5625683154 5714979712 5858699616 5893572828 5902356096 6197935744 6346924584 6429352176 6875834966 6923917728 6972677712 7213990784 7253628096 7500910872 7811599488 7858097104 7968774528 8115739632 8462566112 8572469568 8840359242 9231890304 9275131008 9296903616 9520386876 10001214496 10313752449 10820986176 10880442144 11251366308 11717399232 11787145656 12693849168 12858704352 13751669932 13847835456 13945355424 14507256192 15001821744 15716194208 16231479264 16925132224 17144939136 17680718484 18593807232 19040773752 20002428992 20627504898 21641972352 21760884288 22502732616 23434798464 23574291312 25387698336 25717408704 27503339864 27695670912 27890710848 30003643488 30941257347 31432388416 32462958528 33850264448 35361436968 38081547504 40004857984 41255009796 43521768576 45005465232 47148582624 50775396672 51434817408 55006679728 55781421696 60007286976 61882514694 62864776832 64925917056 70722873936 76163095008 82510019592 90010930464 94297165248 101550793344 110013359456 120014573952 123765029388 141445747872 152326190016 165020039184 180021860928 188594330496 220026718912 247530058776 282891495744 304652380032 330040078368 360043721856 440053437824 495060117552 565782991488 660080156736 990120235104 1320160313472 1980240470208 3960480940416
- Sum of all divisors σ(n): 15862611697920
- Sum of proper divisors (its aliquot sum) s(n): 11902130757504
- 3960480940416 is an abundant number, because the sum of its proper divisors (11902130757504) is greater than itself. Its abundance is 7941649817088
Bases of 3960480940416
- Binary: 1110011010000111110000111101000001100000002
- Hexadecimal: 0x39A1F0F4180
- Base-36: 1EJF43FK0
Squares and roots of 3960480940416
- 3960480940416 squared (39604809404162) is 15685409279398403742253056
- 3960480940416 cubed (39604809404163) is 62121764493681642947847636901529911296
-
The
square root of 3960480940416 is 1990095.7113706869 -
The
cube root of 3960480940416 is 15821.5602424633
Scales and comparisons
How big is 3960480940416?- 3,960,480,940,416 seconds is equal to 125,931 years, 2 weeks, 1 day, 18 hours, 33 minutes, 36 seconds.
-
To count from 1 to 3,960,480,940,416 would take you about three hundred fourteen thousand, eight hundred twenty-seven 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 3960480940416 cubic inches would be around 1318.5 feet tall.
Recreational maths with 3960480940416
- 3960480940416 backwards is 6140490840693
- The number of decimal digits it has is: 13
- The sum of 3960480940416's digits is 54
- More coming soon!
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MLA style:
"Number 3960480940416 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
APA style:
Numbermatics. (2024). Number 3960480940416 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/3960480940416/
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The information we have on file for 3960480940416 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 3960480940416, math, Factors of 3960480940416, curriculum, school, college, exams, university, Prime factorization of 3960480940416, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred sixty billion, four hundred eighty million, nine hundred forty thousand, four hundred sixteen.