468949338
468,949,338 is an even composite number composed of six prime numbers multiplied together.
468949338 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 468949338:
2 × 34 × 11 × 13 × 31 × 653
(2 × 3 × 3 × 3 × 3 × 11 × 13 × 31 × 653)See below for interesting mathematical facts about the number 468949338 from the Numbermatics database.
Names of 468949338
- Cardinal: 468949338 can be written as Four hundred sixty-eight million, nine hundred forty-nine thousand, three hundred thirty-eight.
Scientific notation
- Scientific notation: 4.68949338 × 108
Factors of 468949338
Divisors of 468949338
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 6 9 11 13 18 22 26 27 31 33 39 54 62 66 78 81 93 99 117 143 162 186 198 234 279 286 297 341 351 403 429 558 594 653 682 702 806 837 858 891 1023 1053 1209 1287 1306 1674 1782 1959 2046 2106 2418 2511 2574 3069 3627 3861 3918 4433 5022 5877 6138 7183 7254 7722 8489 8866 9207 10881 11583 11754 13299 14366 16978 17631 18414 20243 21549 21762 23166 25467 26598 27621 32643 35262 39897 40486 43098 50934 52893 55242 60729 64647 65286 76401 79794 93379 105786 119691 121458 129294 152802 182187 186758 193941 222673 229203 239382 263159 280137 359073 364374 387882 445346 458406 526318 546561 560274 581823 668019 687609 718146 789477 840411 1093122 1163646 1336038 1375218 1578954 1639683 1680822 2004057 2368431 2521233 2894749 3279366 4008114 4736862 5042466 5789498 6012171 7105293 7563699 8684247 12024342 14210586 15127398 17368494 18036513 21315879 26052741 36073026 42631758 52105482 78158223 156316446 234474669 468949338
- Sum of all divisors σ(n): 1276273152
- Sum of proper divisors (its aliquot sum) s(n): 807323814
- 468949338 is an abundant number, because the sum of its proper divisors (807323814) is greater than itself. Its abundance is 338374476
Bases of 468949338
- Binary: 110111111001110011001010110102
- Hexadecimal: 0x1BF3995A
- Base-36: 7R77MI
Squares and roots of 468949338
- 468949338 squared (4689493382) is 219913481610638244
- 468949338 cubed (4689493383) is 103128281618583978281282472
-
The
square root of 468949338 is 21655.2381192173 -
The
cube root of 468949338 is 776.9182245747
Scales and comparisons
How big is 468949338?- 468,949,338 seconds is equal to 14 years, 47 weeks, 2 days, 15 hours, 42 minutes, 18 seconds.
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To count from 1 to 468,949,338 would take you about twenty-two 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 468949338 cubic inches would be around 64.7 feet tall.
Recreational maths with 468949338
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