12984555584
12,984,555,584 is an even composite number composed of six prime numbers multiplied together.
What does the number 12984555584 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
12984555584 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 12984555584:
26 × 7 × 11 × 13 × 292 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 29 × 29 × 241)See below for interesting mathematical facts about the number 12984555584 from the Numbermatics database.
Names of 12984555584
- Cardinal: 12984555584 can be written as Twelve billion, nine hundred eighty-four million, five hundred fifty-five thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.2984555584 × 1010
Factors of 12984555584
Divisors of 12984555584
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 29 32 44 52 56 58 64 77 88 91 104 112 116 143 154 176 182 203 208 224 232 241 286 308 319 352 364 377 406 416 448 464 482 572 616 638 704 728 754 812 832 841 928 964 1001 1144 1232 1276 1456 1508 1624 1682 1687 1856 1928 2002 2233 2288 2464 2552 2639 2651 2912 3016 3133 3248 3364 3374 3856 4004 4147 4466 4576 4928 5104 5278 5302 5824 5887 6032 6266 6496 6728 6748 6989 7712 8008 8294 8932 9152 9251 10208 10556 10604 10933 11774 12064 12532 12992 13456 13496 13978 15424 16016 16588 17864 18502 18557 20416 21112 21208 21866 21931 23548 24128 25064 26912 26992 27956 29029 32032 33176 34463 35728 37004 37114 42224 42416 43732 43862 47096 48923 50128 53824 53984 55912 58058 64064 64757 66352 68926 71456 74008 74228 76531 76879 84448 84832 87464 87724 90857 94192 97846 100256 107968 111824 116116 120263 129514 132704 137852 142912 148016 148456 153062 153758 168896 169664 174928 175448 181714 188384 195692 200512 202681 223648 232232 240526 241241 259028 265408 275704 296032 296912 306124 307516 349856 350896 363428 376768 391384 405362 447296 464464 481052 482482 518056 538153 551408 592064 593824 612248 615032 635999 699712 701792 726856 782768 810724 841841 928928 962104 964964 999427 1036112 1076306 1102816 1187648 1224496 1230064 1271998 1403584 1418767 1453712 1565536 1621448 1683682 1857856 1924208 1929928 1998854 2072224 2152612 2205632 2229491 2448992 2460128 2543996 2634853 2837534 2907424 3131072 3242896 3367364 3848416 3859856 3997708 4144448 4305224 4458982 4897984 4920256 5087992 5269706 5675068 5814848 6485792 6734728 6995989 7696832 7719712 7995416 8610448 8917964 10175984 10539412 11350136 12971584 13469456 13991978 15439424 15606437 15990832 17220896 17835928 18443971 20351968 21078824 22700272 26938912 27983956 28983383 31212874 31981664 34441792 35671856 36887942 40703936 42157648 45400544 53877824 55967912 57966766 62425748 63963328 71343712 73775884 84315296 90801088 111935824 115933532 124851496 142687424 147551768 168630592 202883681 223871648 231867064 249702992 295103536 405767362 447743296 463734128 499405984 590207072 811534724 927468256 998811968 1180414144 1623069448 1854936512 3246138896 6492277792 12984555584
- Sum of all divisors σ(n): 35977958016
- Sum of proper divisors (its aliquot sum) s(n): 22993402432
- 12984555584 is an abundant number, because the sum of its proper divisors (22993402432) is greater than itself. Its abundance is 10008846848
Bases of 12984555584
- Binary: 11000001011111000010011000010000002
- Hexadecimal: 0x305F09840
- Base-36: 5YQO37K
Squares and roots of 12984555584
- 12984555584 squared (129845555842) is 168598683713985581056
- 12984555584 cubed (129845555843) is 2189178980073481335396169416704
-
The
square root of 12984555584 is 113949.7941375937 -
The
cube root of 12984555584 is 2350.4031651133
Scales and comparisons
How big is 12984555584?- 12,984,555,584 seconds is equal to 412 years, 45 weeks, 1 day, 4 hours, 59 minutes, 44 seconds.
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To count from 1 to 12,984,555,584 would take you about eight hundred twenty-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 12984555584 cubic inches would be around 195.9 feet tall.
Recreational maths with 12984555584
- 12984555584 backwards is 48555548921
- 12984555584 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12984555584's digits is 56
- More coming soon!
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