113305248
113,305,248 is an even composite number composed of five prime numbers multiplied together.
113305248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 113305248:
25 × 32 × 73 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 31 × 37)See below for interesting mathematical facts about the number 113305248 from the Numbermatics database.
Names of 113305248
- Cardinal: 113305248 can be written as One hundred thirteen million, three hundred five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.13305248 × 108
Factors of 113305248
Divisors of 113305248
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 37 42 48 49 56 62 63 72 74 84 93 96 98 111 112 124 126 144 147 148 168 186 196 217 222 224 248 252 259 279 288 294 296 333 336 343 372 392 434 441 444 496 504 518 558 588 592 651 666 672 686 744 777 784 868 882 888 992 1008 1029 1036 1116 1147 1176 1184 1302 1332 1372 1488 1519 1554 1568 1736 1764 1776 1813 1953 2016 2058 2072 2232 2294 2331 2352 2604 2664 2744 2976 3038 3087 3108 3441 3472 3528 3552 3626 3906 4116 4144 4464 4557 4588 4662 4704 5208 5328 5439 5488 6076 6174 6216 6882 6944 7056 7252 7812 8029 8232 8288 8928 9114 9176 9324 10323 10416 10633 10656 10878 10976 12152 12348 12432 12691 13671 13764 14112 14504 15624 16058 16317 16464 18228 18352 18648 20646 20832 21266 21756 24087 24304 24696 24864 25382 27342 27528 29008 31248 31899 32116 32634 32928 36456 36704 37296 38073 41292 42532 43512 48174 48608 49392 50764 54684 55056 56203 58016 62496 63798 64232 65268 72261 72912 74592 76146 82584 85064 87024 95697 96348 98784 101528 109368 110112 112406 114219 127596 128464 130536 144522 145824 152292 165168 168609 170128 174048 191394 192696 203056 218736 224812 228438 255192 256928 261072 289044 304584 330336 337218 340256 382788 385392 393421 406112 437472 449624 456876 505827 510384 522144 578088 609168 674436 765576 770784 786842 899248 913752 1011654 1020768 1156176 1180263 1218336 1348872 1531152 1573684 1798496 1827504 2023308 2312352 2360526 2697744 3062304 3147368 3540789 3655008 4046616 4721052 5395488 6294736 7081578 8093232 9442104 12589472 14163156 16186464 18884208 28326312 37768416 56652624 113305248
- Sum of all divisors σ(n): 398361600
- Sum of proper divisors (its aliquot sum) s(n): 285056352
- 113305248 is an abundant number, because the sum of its proper divisors (285056352) is greater than itself. Its abundance is 171751104
Bases of 113305248
- Binary: 1101100000011100110101000002
- Hexadecimal: 0x6C0E6A0
- Base-36: 1VGIW0
Squares and roots of 113305248
- 113305248 squared (1133052482) is 12838079224341504
- 113305248 cubed (1133052483) is 1454621750357661747412992
-
The
square root of 113305248 is 10644.4937878701 -
The
cube root of 113305248 is 483.8937453157
Scales and comparisons
How big is 113305248?- 113,305,248 seconds is equal to 3 years, 31 weeks, 2 days, 9 hours, 40 minutes, 48 seconds.
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To count from 1 to 113,305,248 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 113305248 cubic inches would be around 40.3 feet tall.
Recreational maths with 113305248
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