104997984
104,997,984 is an even composite number composed of six prime numbers multiplied together.
104997984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 104997984:
25 × 3 × 72 × 13 × 17 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 13 × 17 × 101)See below for interesting mathematical facts about the number 104997984 from the Numbermatics database.
Names of 104997984
- Cardinal: 104997984 can be written as One hundred four million, nine hundred ninety-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.04997984 × 108
Factors of 104997984
Divisors of 104997984
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 49 51 52 56 68 78 84 91 96 98 101 102 104 112 119 136 147 156 168 182 196 202 204 208 221 224 238 272 273 294 303 312 336 357 364 392 404 408 416 442 476 544 546 588 606 624 637 663 672 707 714 728 784 808 816 833 884 952 1092 1176 1212 1248 1274 1313 1326 1414 1428 1456 1547 1568 1616 1632 1666 1717 1768 1904 1911 2121 2184 2352 2424 2499 2548 2626 2652 2828 2856 2912 3094 3232 3332 3434 3536 3808 3822 3939 4242 4368 4641 4704 4848 4949 4998 5096 5151 5252 5304 5656 5712 6188 6664 6868 7072 7644 7878 8484 8736 9191 9282 9696 9898 9996 10192 10302 10504 10608 10829 11312 11424 12019 12376 13328 13736 14847 15288 15756 16968 18382 18564 19796 19992 20384 20604 21008 21216 21658 22321 22624 24038 24752 26656 27472 27573 29694 30576 31512 32487 33936 36057 36764 37128 39592 39984 41208 42016 43316 44642 48076 49504 54944 55146 59388 61152 63024 64337 64974 66963 67872 72114 73528 74256 79184 79968 82416 84133 86632 89284 96152 110292 118776 126048 128674 129948 133926 144228 147056 148512 156247 158368 164832 168266 173264 178568 192304 193011 220584 237552 252399 257348 259896 267852 288456 294112 312494 336532 346528 357136 384608 386022 441168 468741 475104 504798 514696 519792 535704 576912 624988 673064 714272 772044 882336 937482 1009596 1029392 1039584 1071408 1093729 1153824 1249976 1346128 1544088 1874964 2019192 2058784 2142816 2187458 2499952 2692256 3088176 3281187 3749928 4038384 4374916 4999904 6176352 6562374 7499856 8076768 8749832 13124748 14999712 17499664 26249496 34999328 52498992 104997984
- Sum of all divisors σ(n): 369212256
- Sum of proper divisors (its aliquot sum) s(n): 264214272
- 104997984 is an abundant number, because the sum of its proper divisors (264214272) is greater than itself. Its abundance is 159216288
Bases of 104997984
- Binary: 1100100001000100100011000002
- Hexadecimal: 0x6422460
- Base-36: 1QIGYO
Squares and roots of 104997984
- 104997984 squared (1049979842) is 11024576644064256
- 104997984 cubed (1049979843) is 1157558322080232446459904
-
The
square root of 104997984 is 10246.8523947601 -
The
cube root of 104997984 is 471.7663786881
Scales and comparisons
How big is 104997984?- 104,997,984 seconds is equal to 3 years, 17 weeks, 4 days, 6 hours, 6 minutes, 24 seconds.
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To count from 1 to 104,997,984 would take you about 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 104997984 cubic inches would be around 39.3 feet tall.
Recreational maths with 104997984
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