12828444001968
12,828,444,001,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 12828444001968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
12828444001968 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 12828444001968:
24 × 3 × 75 × 61 × 73 × 3571
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 7 × 61 × 73 × 3571)See below for interesting mathematical facts about the number 12828444001968 from the Numbermatics database.
Names of 12828444001968
- Cardinal: 12828444001968 can be written as Twelve trillion, eight hundred twenty-eight billion, four hundred forty-four million, one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.2828444001968 × 1013
Factors of 12828444001968
Divisors of 12828444001968
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 73 84 98 112 122 146 147 168 183 196 219 244 292 294 336 343 366 392 427 438 488 511 584 588 686 732 784 854 876 976 1022 1029 1168 1176 1281 1372 1464 1533 1708 1752 2044 2058 2352 2401 2562 2744 2928 2989 3066 3416 3504 3571 3577 4088 4116 4453 4802 5124 5488 5978 6132 6832 7142 7154 7203 8176 8232 8906 8967 9604 10248 10713 10731 11956 12264 13359 14284 14308 14406 16464 16807 17812 17934 19208 20496 20923 21426 21462 23912 24528 24997 25039 26718 28568 28616 28812 31171 33614 35624 35868 38416 41846 42852 42924 47824 49994 50078 50421 53436 57136 57232 57624 62342 62769 67228 71248 71736 74991 75117 83692 85704 85848 93513 99988 100156 100842 106872 115248 124684 125538 134456 143472 146461 149982 150234 167384 171408 171696 174979 175273 187026 199976 200312 201684 213744 217831 218197 249368 251076 260683 268912 292922 299964 300468 334768 349958 350546 374052 399952 400624 403368 435662 436394 439383 498736 502152 521366 524937 525819 585844 599928 600936 653493 654591 699916 701092 748104 782049 806736 871324 872788 878766 1004304 1025227 1042732 1049874 1051638 1171688 1199856 1201872 1224853 1226911 1306986 1309182 1399832 1402184 1496208 1524817 1527379 1564098 1742648 1745576 1757532 1824781 2050454 2085464 2099748 2103276 2343376 2449706 2453822 2613972 2618364 2799664 2804368 3049634 3054758 3075681 3128196 3485296 3491152 3515064 3649562 3674559 3680733 4100908 4170928 4199496 4206552 4574451 4582137 4899412 4907644 5227944 5236728 5474343 6099268 6109516 6151362 6256392 7030128 7299124 7349118 7361466 8201816 8398992 8413104 8573971 9148902 9164274 9798824 9815288 10455888 10473456 10673719 10691653 10948686 12198536 12219032 12302724 12512784 12773467 14598248 14698236 14722932 15901663 16403632 17147942 18297804 18328548 19597648 19630576 21347438 21383306 21897372 24397072 24438064 24605448 25546934 25721913 29196496 29396472 29445864 31803326 32021157 32074959 34295884 36595608 36657096 38320401 42694876 42766612 43794744 47704989 49210896 51093868 51443826 58792944 58891728 60017797 63606652 64042314 64149918 68591768 73191216 73314192 74716033 74841571 76640802 85389752 85533224 87589488 89414269 95409978 102187736 102887652 111311641 120035594 127213304 128084628 128299836 137183536 149432066 149683142 153281604 170779504 171066448 178828538 180053391 190819956 204375472 205775304 222623282 224148099 224524713 240071188 254426608 256169256 256599672 268242807 298864132 299366284 306563208 333934923 357657076 360106782 381639912 411550608 445246564 448296198 449049426 480142376 512338512 513199344 523012231 536485614 597728264 598732568 613126416 625899883 667869846 715314152 720213564 763279824 779181487 890493128 896592396 898098852 960284752 1046024462 1072971228 1195456528 1197465136 1251799766 1335739692 1430628304 1440427128 1558362974 1569036693 1780986256 1793184792 1796197704 1877699649 2092048924 2145942456 2337544461 2503599532 2671479384 2880854256 3116725948 3138073386 3586369584 3592395408 3661085617 3755399298 4184097848 4291884912 4381299181 4675088922 5007199064 5342958768 5454270409 6233451896 6276146772 7322171234 7510798596 8368195696 8762598362 9350177844 10014398128 10908540818 10983256851 12466903792 12552293544 13143897543 14644342468 15021597192 16362811227 17525196724 18700355688 21817081636 21966513702 25104587088 26287795086 29288684936 30043194384 32725622454 35050393448 37400711376 38179892863 43634163272 43933027404 52575590172 58577369872 65451244908 70100786896 76359785726 87268326544 87866054808 105151180344 114539678589 130902489816 152719571452 175732109616 210302360688 229079357178 261804979632 267259250041 305439142904 458158714356 534518500082 610878285808 801777750123 916317428712 1069037000164 1603555500246 1832634857424 2138074000328 3207111000492 4276148000656 6414222000984 12828444001968
- Sum of all divisors σ(n): 39846469043712
- Sum of proper divisors (its aliquot sum) s(n): 27018025041744
- 12828444001968 is an abundant number, because the sum of its proper divisors (27018025041744) is greater than itself. Its abundance is 14189581039776
Bases of 12828444001968
- Binary: 101110101010110110101101100100000110101100002
- Hexadecimal: 0xBAADAD906B0
- Base-36: 4JPB0C69C
Squares and roots of 12828444001968
- 12828444001968 squared (128284440019682) is 164568975511628755587873024
- 12828444001968 cubed (128284440019683) is 2111163886812172583655601558491590111232
-
The
square root of 12828444001968 is 3581681.7281785379 -
The
cube root of 12828444001968 is 23409.4563297087
Scales and comparisons
How big is 12828444001968?- 12,828,444,001,968 seconds is equal to 407,904 years, 43 weeks, 4 days, 3 hours, 12 minutes, 48 seconds.
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To count from 1 to 12,828,444,001,968 would take you about one million, nineteen thousand, seven hundred sixty-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 12828444001968 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828444001968
- 12828444001968 backwards is 86910044482821
- The number of decimal digits it has is: 14
- The sum of 12828444001968's digits is 57
- More coming soon!
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