1328509728
1,328,509,728 is an even composite number composed of six prime numbers multiplied together.
1328509728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1328509728:
25 × 33 × 7 × 13 × 61 × 277
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 61 × 277)See below for interesting mathematical facts about the number 1328509728 from the Numbermatics database.
Names of 1328509728
- Cardinal: 1328509728 can be written as One billion, three hundred twenty-eight million, five hundred nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.328509728 × 109
Factors of 1328509728
Divisors of 1328509728
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 61 63 72 78 84 91 96 104 108 112 117 122 126 144 156 168 182 183 189 208 216 224 234 244 252 273 277 288 312 336 351 364 366 378 416 427 432 468 488 504 546 549 554 624 672 702 728 732 756 793 819 831 854 864 936 976 1008 1092 1098 1108 1248 1281 1404 1456 1464 1512 1586 1638 1647 1662 1708 1872 1939 1952 2016 2184 2196 2216 2379 2457 2493 2562 2808 2912 2928 3024 3172 3276 3294 3324 3416 3601 3744 3843 3878 4368 4392 4432 4758 4914 4986 5124 5551 5616 5817 5856 6048 6344 6552 6588 6648 6832 7137 7202 7479 7686 7756 8736 8784 8864 9516 9828 9972 10248 10803 11102 11232 11529 11634 12688 13104 13176 13296 13664 14274 14404 14958 15372 15512 16653 16897 17451 17568 19032 19656 19944 20496 21411 21606 22204 23058 23268 25207 25376 26208 26352 26592 28548 28808 29916 30744 31024 32409 33306 33794 34902 38064 39312 39888 40992 42822 43212 44408 46116 46536 49959 50414 50691 52353 52704 57096 57616 59832 61488 62048 64818 66612 67588 69804 75621 76128 78624 79776 85644 86424 88816 92232 93072 97227 99918 100828 101382 104706 114192 115232 118279 119664 122976 129636 133224 135176 139608 149877 151242 152073 171288 172848 177632 184464 186144 194454 199836 201656 202764 209412 219661 226863 228384 236558 239328 259272 266448 270352 279216 299754 302484 304146 342576 345696 354837 368928 388908 399672 403312 405528 418824 439322 453726 456219 473116 518544 532896 540704 558432 599508 604968 608292 658983 680589 685152 709674 777816 799344 806624 811056 837648 878644 907452 912438 946232 1037088 1064511 1199016 1209936 1216584 1317966 1361178 1419348 1537627 1555632 1598688 1622112 1675296 1757288 1814904 1824876 1892464 1976949 2129022 2398032 2419872 2433168 2635932 2722356 2838696 3075254 3111264 3193533 3514576 3629808 3649752 3784928 3953898 4258044 4612881 4796064 4866336 5271864 5444712 5677392 5930847 6150508 6387066 7029152 7259616 7299504 7907796 8516088 9225762 10543728 10889424 11354784 11861694 12301016 12774132 13838643 14599008 15815592 17032176 18451524 21087456 21778848 23723388 24602032 25548264 27677286 31631184 34064352 36903048 41515929 47446776 49204064 51096528 55354572 63262368 73806096 83031858 94893552 102193056 110709144 147612192 166063716 189787104 221418288 332127432 442836576 664254864 1328509728
- Sum of all divisors σ(n): 4864688640
- Sum of proper divisors (its aliquot sum) s(n): 3536178912
- 1328509728 is an abundant number, because the sum of its proper divisors (3536178912) is greater than itself. Its abundance is 2207669184
Bases of 1328509728
- Binary: 10011110010111101110011001000002
- Hexadecimal: 0x4F2F7320
- Base-36: LYYKO0
Squares and roots of 1328509728
- 1328509728 squared (13285097282) is 1764938097390633984
- 1328509728 cubed (13285097283) is 2344737431701268663831396352
-
The
square root of 1328509728 is 36448.7273851913 -
The
cube root of 1328509728 is 1099.3135463643
Scales and comparisons
How big is 1328509728?- 1,328,509,728 seconds is equal to 42 years, 12 weeks, 4 days, 6 hours, 28 minutes, 48 seconds.
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To count from 1 to 1,328,509,728 would take you about eighty-four 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 1328509728 cubic inches would be around 91.6 feet tall.
Recreational maths with 1328509728
- 1328509728 backwards is 8279058231
- The number of decimal digits it has is: 10
- The sum of 1328509728's digits is 45
- More coming soon!
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