661137984
661,137,984 is an even composite number composed of five prime numbers multiplied together.
661137984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 661137984:
26 × 33 × 13 × 19 × 1549
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 1549)See below for interesting mathematical facts about the number 661137984 from the Numbermatics database.
Names of 661137984
- Cardinal: 661137984 can be written as Six hundred sixty-one million, one hundred thirty-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 6.61137984 × 108
Factors of 661137984
Divisors of 661137984
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 96 104 108 114 117 144 152 156 171 192 208 216 228 234 247 288 304 312 342 351 416 432 456 468 494 513 576 608 624 684 702 741 832 864 912 936 988 1026 1216 1248 1368 1404 1482 1549 1728 1824 1872 1976 2052 2223 2496 2736 2808 2964 3098 3648 3744 3952 4104 4446 4647 5472 5616 5928 6196 6669 7488 7904 8208 8892 9294 10944 11232 11856 12392 13338 13941 15808 16416 17784 18588 20137 22464 23712 24784 26676 27882 29431 32832 35568 37176 40274 41823 47424 49568 53352 55764 58862 60411 71136 74352 80548 83646 88293 99136 106704 111528 117724 120822 142272 148704 161096 167292 176586 181233 213408 223056 235448 241644 264879 297408 322192 334584 353172 362466 382603 426816 446112 470896 483288 529758 543699 644384 669168 706344 724932 765206 794637 892224 941792 966576 1059516 1087398 1147809 1288768 1338336 1412688 1449864 1530412 1589274 1883584 1933152 2119032 2174796 2295618 2676672 2825376 2899728 3060824 3178548 3443427 3866304 4238064 4349592 4591236 5650752 5799456 6121648 6357096 6886854 8476128 8699184 9182472 10330281 11598912 12243296 12714192 13773708 16952256 17398368 18364944 20660562 24486592 25428384 27547416 34796736 36729888 41321124 50856768 55094832 73459776 82642248 110189664 165284496 220379328 330568992 661137984
- Sum of all divisors σ(n): 2204720000
- Sum of proper divisors (its aliquot sum) s(n): 1543582016
- 661137984 is an abundant number, because the sum of its proper divisors (1543582016) is greater than itself. Its abundance is 882444032
Bases of 661137984
- Binary: 1001110110100000101010010000002
- Hexadecimal: 0x27682A40
- Base-36: AXMHC0
Squares and roots of 661137984
- 661137984 squared (6611379842) is 437103433887584256
- 661137984 cubed (6611379843) is 288985683079914737641979904
-
The
square root of 661137984 is 25712.6036021247 -
The
cube root of 661137984 is 871.1588836851
Scales and comparisons
How big is 661137984?- 661,137,984 seconds is equal to 21 years, 1 week, 1 day, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 661,137,984 would take you about thirty-one 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 661137984 cubic inches would be around 72.6 feet tall.
Recreational maths with 661137984
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