113166144
113,166,144 is an even composite number composed of six prime numbers multiplied together.
113166144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 113166144:
26 × 32 × 7 × 13 × 17 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 17 × 127)See below for interesting mathematical facts about the number 113166144 from the Numbermatics database.
Names of 113166144
- Cardinal: 113166144 can be written as One hundred thirteen million, one hundred sixty-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.13166144 × 108
Factors of 113166144
Divisors of 113166144
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 32 34 36 39 42 48 51 52 56 63 64 68 72 78 84 91 96 102 104 112 117 119 126 127 136 144 153 156 168 182 192 204 208 221 224 234 238 252 254 272 273 288 306 312 336 357 364 381 408 416 442 448 468 476 504 508 544 546 576 612 624 663 672 714 728 762 816 819 832 884 889 936 952 1008 1016 1071 1088 1092 1143 1224 1248 1326 1344 1428 1456 1524 1547 1632 1638 1651 1768 1778 1872 1904 1989 2016 2032 2142 2159 2184 2286 2448 2496 2652 2667 2856 2912 3048 3094 3264 3276 3302 3536 3556 3744 3808 3978 4032 4064 4284 4318 4368 4572 4641 4896 4953 5304 5334 5712 5824 6096 6188 6477 6552 6604 7072 7112 7488 7616 7956 8001 8128 8568 8636 8736 9144 9282 9792 9906 10608 10668 11424 11557 12192 12376 12954 13104 13208 13923 14144 14224 14859 15113 15912 16002 17136 17272 17472 18288 18564 19431 19812 21216 21336 22848 23114 24384 24752 25908 26208 26416 27846 28067 28448 29718 30226 31824 32004 34272 34544 34671 36576 37128 38862 39624 42432 42672 45339 46228 49504 51816 52416 52832 55692 56134 56896 59436 60452 63648 64008 68544 69088 69342 73152 74256 77724 79248 84201 85344 90678 92456 99008 103632 104013 105664 111384 112268 118872 120904 127296 128016 136017 138176 138684 148512 155448 158496 168402 170688 181356 184912 196469 207264 208026 222768 224536 237744 241808 252603 256032 272034 277368 297024 310896 316992 336804 362712 369824 392938 414528 416052 445536 449072 475488 483616 505206 512064 544068 554736 589407 621792 673608 725424 739648 785876 832104 891072 898144 950976 967232 1010412 1088136 1109472 1178814 1243584 1347216 1450848 1571752 1664208 1768221 1796288 2020824 2176272 2218944 2357628 2694432 2901696 3143504 3328416 3536442 4041648 4352544 4715256 5388864 6287008 6656832 7072884 8083296 8705088 9430512 12574016 14145768 16166592 18861024 28291536 37722048 56583072 113166144
- Sum of all divisors σ(n): 426037248
- Sum of proper divisors (its aliquot sum) s(n): 312871104
- 113166144 is an abundant number, because the sum of its proper divisors (312871104) is greater than itself. Its abundance is 199704960
Bases of 113166144
- Binary: 1101011111011000111010000002
- Hexadecimal: 0x6BEC740
- Base-36: 1VDJK0
Squares and roots of 113166144
- 113166144 squared (1131661442) is 12806576147828736
- 113166144 cubed (1131661443) is 1449270840492152025513984
-
The
square root of 113166144 is 10637.9576987315 -
The
cube root of 113166144 is 483.6956399867
Scales and comparisons
How big is 113166144?- 113,166,144 seconds is equal to 3 years, 31 weeks, 19 hours, 2 minutes, 24 seconds.
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To count from 1 to 113,166,144 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 113166144 cubic inches would be around 40.3 feet tall.
Recreational maths with 113166144
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