13328082144
13,328,082,144 is an even composite number composed of six prime numbers multiplied together.
13328082144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13328082144:
25 × 34 × 13 × 17 × 53 × 439
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 17 × 53 × 439)See below for interesting mathematical facts about the number 13328082144 from the Numbermatics database.
Names of 13328082144
- Cardinal: 13328082144 can be written as Thirteen billion, three hundred twenty-eight million, eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3328082144 × 1010
Factors of 13328082144
Divisors of 13328082144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 53 54 68 72 78 81 96 102 104 106 108 117 136 144 153 156 159 162 204 208 212 216 221 234 272 288 306 312 318 324 351 408 416 424 432 439 442 459 468 477 544 612 624 636 648 663 689 702 816 848 864 878 884 901 918 936 954 1053 1224 1248 1272 1296 1317 1326 1377 1378 1404 1431 1632 1696 1756 1768 1802 1836 1872 1908 1989 2067 2106 2448 2544 2592 2634 2652 2703 2754 2756 2808 2862 3512 3536 3604 3672 3744 3816 3951 3978 4134 4212 4293 4896 5088 5268 5304 5406 5508 5512 5616 5707 5724 5967 6201 7024 7072 7208 7344 7463 7632 7902 7956 8109 8268 8424 8586 10536 10608 10812 11016 11024 11232 11414 11448 11713 11853 11934 12402 14048 14416 14688 14926 15264 15804 15912 16218 16536 16848 17121 17172 17901 18603 21072 21216 21624 22032 22048 22389 22828 22896 23267 23426 23706 23868 24327 24804 28832 29852 31608 31824 32436 33072 33696 34242 34344 35139 35559 35802 37206 42144 43248 44064 44778 45656 45792 46534 46852 47412 47736 48654 49608 51363 55809 59704 63216 63648 64872 66144 67167 68484 68688 69801 70278 71118 71604 72981 74412 86496 89556 91312 93068 93704 94824 95472 97019 97308 99216 102726 105417 111618 119408 126432 129744 134334 136968 137376 139602 140556 142236 143208 145962 148824 154089 179112 182624 186136 187408 189648 190944 194038 194616 198432 201501 205452 209403 210834 223236 238816 259488 268668 273936 279204 281112 284472 286416 291057 291924 297648 302471 308178 316251 358224 372272 374816 379296 388076 389232 395539 403002 410904 418806 421668 446472 462267 537336 547872 558408 562224 568944 572832 582114 583848 595296 604503 604942 616356 628209 632502 716448 744544 776152 778464 791078 806004 821808 837612 843336 873171 892944 907413 924534 948753 1074672 1116816 1124448 1137888 1164228 1167696 1186617 1209006 1209884 1232712 1256418 1265004 1552304 1582156 1612008 1643616 1675224 1686672 1746342 1785888 1814826 1849068 1884627 1897506 2149344 2233632 2328456 2335392 2373234 2418012 2419768 2465424 2512836 2530008 2619513 2722239 3104608 3164312 3224016 3350448 3373344 3492684 3559851 3629652 3698136 3769254 3795012 4656912 4746468 4836024 4839536 4930848 5025672 5060016 5142007 5239026 5444478 6328624 6448032 6700896 6985368 7119702 7259304 7396272 7538508 7590024 7858539 8166717 9313824 9492936 9672048 9679072 10051344 10120032 10284014 10478052 10679553 10888956 12657248 13970736 14239404 14518608 14792544 15077016 15180048 15426021 15717078 16333434 18985872 19344096 20102688 20568028 20956104 21359106 21777912 24500151 27941472 28478808 29037216 30154032 30360096 30852042 31434156 32038659 32666868 37971744 41136056 41912208 42718212 43555824 46278063 49000302 56957616 60308064 61704084 62868312 64077318 65333736 82272112 83824416 85436424 87111648 92556126 98000604 113915232 123408168 125736624 128154636 130667472 138834189 164544224 170872848 185112252 196001208 246816336 251473248 256309272 261334944 277668378 341745696 370224504 392002416 416502567 493632672 512618544 555336756 740449008 784004832 833005134 1025237088 1110673512 1480898016 1666010268 2221347024 3332020536 4442694048 6664041072 13328082144
- Sum of all divisors σ(n): 45642864960
- Sum of proper divisors (its aliquot sum) s(n): 32314782816
- 13328082144 is an abundant number, because the sum of its proper divisors (32314782816) is greater than itself. Its abundance is 18986700672
Bases of 13328082144
- Binary: 11000110100110101001100100111000002
- Hexadecimal: 0x31A6A64E0
- Base-36: 64F7200
Squares and roots of 13328082144
- 13328082144 squared (133280821442) is 177637773637211636736
- 13328082144 cubed (133280821443) is 2367570838914034349530096041984
-
The
square root of 13328082144 is 115447.3132818603 -
The
cube root of 13328082144 is 2370.9508634475
Scales and comparisons
How big is 13328082144?- 13,328,082,144 seconds is equal to 423 years, 41 weeks, 1 day, 5 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,328,082,144 would take you about eight hundred forty-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 13328082144 cubic inches would be around 197.6 feet tall.
Recreational maths with 13328082144
- 13328082144 backwards is 44128082331
- 13328082144 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13328082144's digits is 36
- More coming soon!
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