982039968
982,039,968 is an even composite number composed of six prime numbers multiplied together.
982039968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 982039968:
25 × 32 × 72 × 13 × 53 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 53 × 101)See below for interesting mathematical facts about the number 982039968 from the Numbermatics database.
Names of 982039968
- Cardinal: 982039968 can be written as Nine hundred eighty-two million, thirty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 9.82039968 × 108
Factors of 982039968
Divisors of 982039968
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 53 56 63 72 78 84 91 96 98 101 104 106 112 117 126 144 147 156 159 168 182 196 202 208 212 224 234 252 273 288 294 303 312 318 336 364 371 392 404 416 424 441 468 477 504 546 588 606 624 636 637 672 689 707 728 742 784 808 819 848 882 909 936 954 1008 1092 1113 1176 1212 1248 1272 1274 1313 1378 1414 1456 1484 1568 1616 1638 1696 1764 1818 1872 1908 1911 2016 2067 2121 2184 2226 2352 2424 2544 2548 2597 2626 2756 2828 2912 2968 3232 3276 3339 3528 3636 3744 3816 3822 3939 4134 4242 4368 4452 4704 4823 4848 4949 5088 5096 5194 5252 5353 5512 5656 5733 5936 6201 6363 6552 6678 7056 7272 7632 7644 7791 7878 8268 8484 8736 8904 9191 9646 9696 9898 10192 10388 10504 10706 11024 11312 11466 11817 11872 12402 12726 13104 13356 14112 14469 14544 14847 15264 15288 15582 15756 16059 16536 16968 17808 18382 19292 19796 20384 20776 21008 21412 22048 22624 22932 23373 23634 24804 25452 26208 26712 27573 28938 29088 29694 30576 31164 31512 32118 33072 33761 33936 35616 36764 37471 38584 39592 41552 42016 42824 43407 44541 45864 46746 47268 48177 49608 50904 53424 55146 57876 59388 61152 62328 63024 64236 64337 66144 67522 67872 69589 73528 74942 77168 79184 82719 83104 85648 86814 89082 91728 93492 94536 96354 99216 101283 101808 106848 110292 112413 115752 118776 124656 126048 128472 128674 135044 139178 147056 149884 154336 158368 165438 171296 173628 178164 183456 186984 189072 192708 193011 198432 202566 203616 208767 220584 224826 231504 237552 249312 256944 257348 262297 270088 278356 294112 299768 303849 330876 337239 347256 356328 373968 378144 385416 386022 405132 417534 441168 449652 463008 475104 487123 513888 514696 524594 540176 556712 579033 599536 607698 626301 661752 674478 694512 712656 747936 770832 772044 786891 810264 835068 882336 899304 974246 1029392 1049188 1080352 1113424 1158066 1199072 1215396 1252602 1323504 1348956 1389024 1425312 1461369 1541664 1544088 1573782 1620528 1670136 1798608 1948492 2058784 2098376 2226848 2316132 2360673 2430792 2505204 2647008 2697912 2922738 3088176 3147564 3241056 3340272 3409861 3597216 3896984 4196752 4384107 4632264 4721346 4861584 5010408 5395824 5845476 6176352 6295128 6680544 6819722 7793968 8393504 8768214 9264528 9442692 9723168 10020816 10229583 10791648 11690952 12590256 13639444 15587936 17536428 18529056 18885384 20041632 20459166 23381904 25180512 27278888 30688749 35072856 37770768 40918332 46763808 54557776 61377498 70145712 75541536 81836664 109115552 122754996 140291424 163673328 245509992 327346656 491019984 982039968
- Sum of all divisors σ(n): 3599819496
- Sum of proper divisors (its aliquot sum) s(n): 2617779528
- 982039968 is an abundant number, because the sum of its proper divisors (2617779528) is greater than itself. Its abundance is 1635739560
Bases of 982039968
- Binary: 1110101000100010111101101000002
- Hexadecimal: 0x3A88BDA0
- Base-36: G8OIW0
Squares and roots of 982039968
- 982039968 squared (9820399682) is 964402498749441024
- 982039968 cubed (9820399683) is 947081799011021103226847232
-
The
square root of 982039968 is 31337.5169405617 -
The
cube root of 982039968 is 993.9771204149
Scales and comparisons
How big is 982039968?- 982,039,968 seconds is equal to 31 years, 11 weeks, 5 days, 4 hours, 52 minutes, 48 seconds.
-
To count from 1 to 982,039,968 would take you about forty-six 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 982039968 cubic inches would be around 82.8 feet tall.
Recreational maths with 982039968
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