230138496
230,138,496 is an even composite number composed of four prime numbers multiplied together.
230138496 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 230138496:
27 × 35 × 72 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 151)See below for interesting mathematical facts about the number 230138496 from the Numbermatics database.
Names of 230138496
- Cardinal: 230138496 can be written as Two hundred thirty million, one hundred thirty-eight thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 2.30138496 × 108
Factors of 230138496
Divisors of 230138496
- 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 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 151 162 168 189 192 196 216 224 243 252 288 294 302 324 336 378 384 392 432 441 448 453 486 504 567 576 588 604 648 672 756 784 864 882 896 906 972 1008 1057 1134 1152 1176 1208 1296 1323 1344 1359 1512 1568 1701 1728 1764 1812 1944 2016 2114 2268 2352 2416 2592 2646 2688 2718 3024 3136 3171 3402 3456 3528 3624 3888 3969 4032 4077 4228 4536 4704 4832 5184 5292 5436 6048 6272 6342 6804 7056 7248 7399 7776 7938 8064 8154 8456 9072 9408 9513 9664 10368 10584 10872 11907 12096 12231 12684 13608 14112 14496 14798 15552 15876 16308 16912 18144 18816 19026 19328 21168 21744 22197 23814 24192 24462 25368 27216 28224 28539 28992 29596 31104 31752 32616 33824 36288 36693 38052 42336 43488 44394 47628 48924 50736 54432 56448 57078 57984 59192 63504 65232 66591 67648 72576 73386 76104 84672 85617 86976 88788 95256 97848 101472 108864 114156 118384 127008 130464 133182 135296 146772 152208 169344 171234 173952 177576 190512 195696 199773 202944 217728 228312 236768 254016 256851 260928 266364 293544 304416 342468 355152 381024 391392 399546 405888 456624 473536 508032 513702 521856 532728 587088 599319 608832 684936 710304 762048 782784 799092 913248 947072 1027404 1065456 1174176 1198638 1217664 1369872 1420608 1524096 1565568 1598184 1797957 1826496 2054808 2130912 2348352 2397276 2739744 2841216 3196368 3595914 3652992 4109616 4261824 4696704 4794552 5479488 6392736 7191828 8219232 8523648 9589104 10958976 12785472 14383656 16438464 19178208 25570944 28767312 32876928 38356416 57534624 76712832 115069248 230138496
- Sum of all divisors σ(n): 804192480
- Sum of proper divisors (its aliquot sum) s(n): 574053984
- 230138496 is an abundant number, because the sum of its proper divisors (574053984) is greater than itself. Its abundance is 343915488
Bases of 230138496
- Binary: 11011011011110100010100000002
- Hexadecimal: 0xDB7A280
- Base-36: 3T0O00
Squares and roots of 230138496
- 230138496 squared (2301384962) is 52963727341142016
- 230138496 cubed (2301384963) is 12188992552844502484647936
-
The
square root of 230138496 is 15170.3162788387 -
The
cube root of 230138496 is 612.8155217887
Scales and comparisons
How big is 230138496?- 230,138,496 seconds is equal to 7 years, 16 weeks, 3 days, 15 hours, 21 minutes, 36 seconds.
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To count from 1 to 230,138,496 would take you about ten 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 230138496 cubic inches would be around 51.1 feet tall.
Recreational maths with 230138496
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