230632948
230,632,948 is an even composite number composed of six prime numbers multiplied together.
230632948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 230632948:
22 × 7 × 132 × 17 × 47 × 61
(2 × 2 × 7 × 13 × 13 × 17 × 47 × 61)See below for interesting mathematical facts about the number 230632948 from the Numbermatics database.
Names of 230632948
- Cardinal: 230632948 can be written as Two hundred thirty million, six hundred thirty-two thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 2.30632948 × 108
Factors of 230632948
Divisors of 230632948
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 13 14 17 26 28 34 47 52 61 68 91 94 119 122 169 182 188 221 238 244 329 338 364 427 442 476 611 658 676 793 799 854 884 1037 1183 1222 1316 1547 1586 1598 1708 2074 2366 2444 2867 2873 3094 3172 3196 4148 4277 4732 5551 5593 5734 5746 6188 7259 7943 8554 10309 10387 11102 11186 11468 11492 13481 14518 15886 17108 20069 20111 20618 20774 22204 22372 26962 29036 31772 37271 40138 40222 41236 41548 48739 53924 55601 72163 72709 74542 80276 80444 94367 97478 111202 135031 144326 145418 149084 175253 188734 194956 222404 260897 270062 288652 290836 341173 350506 377468 484523 521794 540124 633607 682346 701012 945217 969046 1043588 1226771 1267214 1364692 1890434 1938092 2453542 2534428 3391661 3780868 4435249 4907084 6783322 8236891 8870498 13566644 16473782 17740996 32947564 57658237 115316474 230632948
- Sum of all divisors σ(n): 548964864
- Sum of proper divisors (its aliquot sum) s(n): 318331916
- 230632948 is an abundant number, because the sum of its proper divisors (318331916) is greater than itself. Its abundance is 87698968
Bases of 230632948
- Binary: 11011011111100101101111101002
- Hexadecimal: 0xDBF2DF4
- Base-36: 3TB9IS
Squares and roots of 230632948
- 230632948 squared (2306329482) is 53191556703170704
- 230632948 cubed (2306329483) is 12267725531161420410755392
-
The
square root of 230632948 is 15186.6042287275 -
The
cube root of 230632948 is 613.2540854079
Scales and comparisons
How big is 230632948?- 230,632,948 seconds is equal to 7 years, 17 weeks, 2 days, 8 hours, 42 minutes, 28 seconds.
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To count from 1 to 230,632,948 would take you about eleven 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 230632948 cubic inches would be around 51.1 feet tall.
Recreational maths with 230632948
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