428225280
428,225,280 is an even composite number composed of six prime numbers multiplied together.
What does the number 428225280 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
428225280 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428225280:
28 × 3 × 5 × 7 × 89 × 179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 89 × 179)See below for interesting mathematical facts about the number 428225280 from the Numbermatics database.
Names of 428225280
- Cardinal: 428225280 can be written as Four hundred twenty-eight million, two hundred twenty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.2822528 × 108
Factors of 428225280
Divisors of 428225280
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 89 96 105 112 120 128 140 160 168 178 179 192 210 224 240 256 267 280 320 336 356 358 384 420 445 448 480 534 537 560 623 640 672 712 716 768 840 890 895 896 960 1068 1074 1120 1246 1253 1280 1335 1344 1424 1432 1680 1780 1790 1792 1869 1920 2136 2148 2240 2492 2506 2670 2685 2688 2848 2864 3115 3360 3560 3580 3738 3759 3840 4272 4296 4480 4984 5012 5340 5370 5376 5696 5728 6230 6265 6720 7120 7160 7476 7518 8544 8592 8960 9345 9968 10024 10680 10740 11392 11456 12460 12530 13440 14240 14320 14952 15036 15931 17088 17184 18690 18795 19936 20048 21360 21480 22784 22912 24920 25060 26880 28480 28640 29904 30072 31862 34176 34368 37380 37590 39872 40096 42720 42960 45824 47793 49840 50120 56960 57280 59808 60144 63724 68352 68736 74760 75180 79655 79744 80192 85440 85920 95586 99680 100240 111517 113920 114560 119616 120288 127448 137472 149520 150360 159310 159488 160384 170880 171840 191172 199360 200480 223034 229120 238965 239232 240576 254896 299040 300720 318620 320768 334551 341760 343680 382344 398720 400960 446068 477930 478464 481152 509792 557585 598080 601440 637240 669102 687360 764688 797440 801920 892136 955860 962304 1019584 1115170 1196160 1202880 1274480 1338204 1529376 1603840 1672755 1784272 1911720 2039168 2230340 2392320 2405760 2548960 2676408 3058752 3345510 3568544 3823440 4078336 4460680 4811520 5097920 5352816 6117504 6691020 7137088 7646880 8921360 10195840 10705632 12235008 13382040 14274176 15293760 17842720 20391680 21411264 26764080 28548352 30587520 35685440 42822528 53528160 61175040 71370880 85645056 107056320 142741760 214112640 428225280
- Sum of all divisors σ(n): 1589414400
- Sum of proper divisors (its aliquot sum) s(n): 1161189120
- 428225280 is an abundant number, because the sum of its proper divisors (1161189120) is greater than itself. Its abundance is 732963840
Bases of 428225280
- Binary: 110011000011000110011000000002
- Hexadecimal: 0x19863300
- Base-36: 72YCQO
Squares and roots of 428225280
- 428225280 squared (4282252802) is 183376890431078400
- 428225280 cubed (4282252803) is 78526620250377868541952000
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The
square root of 428225280 is 20693.6048092159 -
The
cube root of 428225280 is 753.7444036999
Scales and comparisons
How big is 428225280?- 428,225,280 seconds is equal to 13 years, 32 weeks, 7 hours, 28 minutes.
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To count from 1 to 428,225,280 would take you about twenty 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 428225280 cubic inches would be around 62.8 feet tall.
Recreational maths with 428225280
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