996814728
996,814,728 is an even composite number composed of six prime numbers multiplied together.
996814728 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 996814728:
23 × 33 × 7 × 132 × 47 × 83
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 47 × 83)See below for interesting mathematical facts about the number 996814728 from the Numbermatics database.
Names of 996814728
- Cardinal: 996814728 can be written as Nine hundred ninety-six million, eight hundred fourteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 9.96814728 × 108
Factors of 996814728
Divisors of 996814728
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 47 52 54 56 63 72 78 83 84 91 94 104 108 117 126 141 156 166 168 169 182 188 189 216 234 249 252 273 282 312 329 332 338 351 364 376 378 423 468 498 504 507 546 564 581 611 658 664 676 702 728 747 756 819 846 936 987 996 1014 1079 1092 1128 1162 1183 1222 1269 1316 1352 1404 1494 1512 1521 1638 1692 1743 1833 1974 1992 2028 2158 2184 2241 2324 2366 2444 2457 2538 2632 2808 2961 2988 3042 3237 3276 3384 3486 3549 3666 3901 3948 4056 4277 4316 4482 4563 4648 4732 4888 4914 5076 5229 5499 5922 5976 6084 6474 6552 6972 7098 7332 7553 7802 7896 7943 8554 8632 8883 8964 9126 9464 9711 9828 10152 10458 10647 10998 11703 11844 12168 12831 12948 13944 14027 14196 14664 15106 15604 15687 15886 16497 17108 17766 17928 18252 19422 19656 20916 21294 21996 22659 23406 23688 23829 25662 25896 27307 28054 28392 29133 30212 31208 31374 31772 31941 32994 34216 35109 35532 36504 38493 38844 41832 42081 42588 43992 45318 46812 47658 50713 51324 54614 55601 56108 58266 60424 62748 63544 63882 65988 67977 70218 71064 71487 76986 77688 81921 84162 85176 90636 93624 95316 98189 101426 102648 105327 109228 111202 112216 115479 116532 125496 126243 127764 131976 135954 140436 142974 152139 153972 163842 166803 168324 181272 190632 196378 202852 203931 210654 214461 218456 222404 230958 233064 245763 252486 255528 271908 280872 285948 294567 304278 307944 327684 333606 336648 354991 378729 392756 405704 407862 421308 428922 444808 456417 461916 491526 500409 504972 543816 571896 589134 608556 655368 659269 667212 709982 737289 757458 785512 815724 842616 857844 883701 912834 923832 983052 1000818 1009944 1064973 1178268 1217112 1318538 1334424 1369251 1419964 1474578 1501227 1514916 1631448 1715688 1767402 1825668 1966104 1977807 2001636 2129946 2356536 2637076 2651103 2738502 2839928 2949156 3002454 3029832 3194919 3534804 3651336 3955614 4003272 4259892 4614883 5274152 5302206 5477004 5898312 5933421 6004908 6389838 7069608 7911228 8519784 9229766 9584757 10604412 10954008 11866842 12009816 12779676 13844649 15822456 17800263 18459532 19169514 21208824 23733684 25559352 27689298 35600526 36919064 38339028 41533947 47467368 55378596 71201052 76678056 83067894 110757192 124601841 142402104 166135788 249203682 332271576 498407364 996814728
- Sum of all divisors σ(n): 3541708800
- Sum of proper divisors (its aliquot sum) s(n): 2544894072
- 996814728 is an abundant number, because the sum of its proper divisors (2544894072) is greater than itself. Its abundance is 1548079344
Bases of 996814728
- Binary: 1110110110101000101111100010002
- Hexadecimal: 0x3B6A2F88
- Base-36: GHH760
Squares and roots of 996814728
- 996814728 squared (9968147282) is 993639601957713984
- 996814728 cubed (9968147283) is 990474589555506932462756352
-
The
square root of 996814728 is 31572.3728598281 -
The
cube root of 996814728 is 998.9371133387
Scales and comparisons
How big is 996814728?- 996,814,728 seconds is equal to 31 years, 36 weeks, 1 day, 4 hours, 58 minutes, 48 seconds.
-
To count from 1 to 996,814,728 would take you about 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 996814728 cubic inches would be around 83.2 feet tall.
Recreational maths with 996814728
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