109985148
109,985,148 is an even composite number composed of six prime numbers multiplied together.
109985148 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 109985148:
22 × 33 × 7 × 13 × 192 × 31
(2 × 2 × 3 × 3 × 3 × 7 × 13 × 19 × 19 × 31)See below for interesting mathematical facts about the number 109985148 from the Numbermatics database.
Names of 109985148
- Cardinal: 109985148 can be written as One hundred nine million, nine hundred eighty-five thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 1.09985148 × 108
Factors of 109985148
Divisors of 109985148
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 19 21 26 27 28 31 36 38 39 42 52 54 57 62 63 76 78 84 91 93 108 114 117 124 126 133 156 171 182 186 189 217 228 234 247 252 266 273 279 342 351 361 364 372 378 399 403 434 468 494 513 532 546 558 589 651 684 702 722 741 756 798 806 819 837 868 988 1026 1083 1092 1116 1178 1197 1209 1302 1404 1444 1482 1596 1612 1638 1674 1729 1767 1953 2052 2166 2223 2356 2394 2418 2457 2527 2604 2821 2964 3249 3276 3348 3458 3534 3591 3627 3906 4123 4332 4446 4693 4788 4836 4914 5054 5187 5301 5642 5859 6498 6669 6916 7068 7182 7254 7581 7657 7812 8246 8463 8892 9386 9747 9828 10108 10374 10602 10881 11191 11284 11718 12369 12996 13338 14079 14364 14508 15162 15314 15561 15903 16492 16926 18772 19494 20748 21204 21762 22382 22743 22971 23436 24738 25389 26676 28158 30324 30628 31122 31806 32851 33573 33852 37107 38988 42237 43524 44764 45486 45942 46683 49476 50778 53599 56316 62244 63612 65702 67146 68229 68913 74214 76167 78337 84474 90972 91884 93366 98553 100719 101556 107198 111321 126711 131404 134292 136458 137826 145483 148428 152334 156674 160797 168948 186732 197106 201438 206739 214396 222642 235011 253422 272916 275652 290966 295659 302157 304668 313348 321594 394212 402876 413478 436449 445284 470022 482391 506844 581932 591318 604314 643188 705033 826956 872898 886977 940044 964782 1018381 1182636 1208628 1309347 1410066 1447173 1745796 1773954 1929564 2036762 2115099 2618694 2820132 2894346 3055143 3547908 3928041 4073524 4230198 5237388 5788692 6110286 7856082 8460396 9165429 12220572 15712164 18330858 27496287 36661716 54992574 109985148
- Sum of all divisors σ(n): 382341120
- Sum of proper divisors (its aliquot sum) s(n): 272355972
- 109985148 is an abundant number, because the sum of its proper divisors (272355972) is greater than itself. Its abundance is 162370824
Bases of 109985148
- Binary: 1101000111000111101011111002
- Hexadecimal: 0x68E3D7C
- Base-36: 1THD30
Squares and roots of 109985148
- 109985148 squared (1099851482) is 12096732780581904
- 109985148 cubed (1099851483) is 1330460945188752237561792
-
The
square root of 109985148 is 10487.3804164815 -
The
cube root of 109985148 is 479.1204204425
Scales and comparisons
How big is 109985148?- 109,985,148 seconds is equal to 3 years, 25 weeks, 5 days, 23 hours, 25 minutes, 48 seconds.
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To count from 1 to 109,985,148 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 109985148 cubic inches would be around 39.9 feet tall.
Recreational maths with 109985148
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