480496128
480,496,128 is an even composite number composed of six prime numbers multiplied together.
480496128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 480496128:
29 × 3 × 7 × 23 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 23 × 29 × 67)See below for interesting mathematical facts about the number 480496128 from the Numbermatics database.
Names of 480496128
- Cardinal: 480496128 can be written as Four hundred eighty million, four hundred ninety-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.80496128 × 108
Factors of 480496128
Divisors of 480496128
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 29 32 42 46 48 56 58 64 67 69 84 87 92 96 112 116 128 134 138 161 168 174 184 192 201 203 224 232 256 268 276 322 336 348 368 384 402 406 448 464 469 483 512 536 552 609 644 667 672 696 736 768 804 812 896 928 938 966 1072 1104 1218 1288 1334 1344 1392 1407 1472 1536 1541 1608 1624 1792 1856 1876 1932 1943 2001 2144 2208 2436 2576 2668 2688 2784 2814 2944 3082 3216 3248 3584 3712 3752 3864 3886 4002 4288 4416 4623 4669 4872 5152 5336 5376 5568 5628 5829 5888 6164 6432 6496 7424 7504 7728 7772 8004 8576 8832 9246 9338 9744 10304 10672 10752 10787 11136 11256 11658 11776 12328 12864 12992 13601 14007 14848 15008 15456 15544 16008 17152 17664 18492 18676 19488 20608 21344 21574 22272 22512 23316 24656 25728 25984 27202 28014 30016 30912 31088 32016 32361 34304 35328 36984 37352 38976 40803 41216 42688 43148 44544 44689 45024 46632 49312 51456 51968 54404 56028 60032 61824 62176 64032 64722 73968 74704 77952 81606 82432 85376 86296 89378 90048 93264 98624 102912 103936 108808 112056 120064 123648 124352 128064 129444 134067 147936 149408 155904 163212 170752 172592 178756 180096 186528 197248 217616 224112 240128 247296 248704 256128 258888 268134 295872 298816 311808 312823 326424 341504 345184 357512 360192 373056 394496 435232 448224 497408 512256 517776 536268 591744 597632 625646 652848 690368 715024 720384 746112 788992 870464 896448 938469 994816 1024512 1035552 1072536 1183488 1195264 1251292 1305696 1380736 1430048 1492224 1740928 1792896 1876938 2071104 2145072 2366976 2390528 2502584 2611392 2761472 2860096 2984448 3481856 3585792 3753876 4142208 4290144 5005168 5222784 5522944 5720192 6963712 7171584 7507752 8284416 8580288 10010336 10445568 11440384 15015504 16568832 17160576 20020672 20891136 22880768 30031008 34321152 40041344 60062016 68642304 80082688 120124032 160165376 240248064 480496128
- Sum of all divisors σ(n): 1602754560
- Sum of proper divisors (its aliquot sum) s(n): 1122258432
- 480496128 is an abundant number, because the sum of its proper divisors (1122258432) is greater than itself. Its abundance is 641762304
Bases of 480496128
- Binary: 111001010001111001010000000002
- Hexadecimal: 0x1CA3CA00
- Base-36: 7Y2P6O
Squares and roots of 480496128
- 480496128 squared (4804961282) is 230876529022992384
- 480496128 cubed (4804961283) is 110935278241627463485489152
-
The
square root of 480496128 is 21920.2218966871 -
The
cube root of 480496128 is 783.2431958253
Scales and comparisons
How big is 480496128?- 480,496,128 seconds is equal to 15 years, 14 weeks, 3 days, 7 hours, 8 minutes, 48 seconds.
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To count from 1 to 480,496,128 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 480496128 cubic inches would be around 65.3 feet tall.
Recreational maths with 480496128
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Numbermatics. (2024). Number 480496128 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/480496128/
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