980042400
980,042,400 is an even composite number composed of five prime numbers multiplied together.
980042400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 980042400:
25 × 32 × 52 × 79 × 1723
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 79 × 1723)See below for interesting mathematical facts about the number 980042400 from the Numbermatics database.
Names of 980042400
- Cardinal: 980042400 can be written as Nine hundred eighty million, forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 9.800424 × 108
Factors of 980042400
Divisors of 980042400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 79 80 90 96 100 120 144 150 158 160 180 200 225 237 240 288 300 316 360 395 400 450 474 480 600 632 711 720 790 800 900 948 1185 1200 1264 1422 1440 1580 1723 1800 1896 1975 2370 2400 2528 2844 3160 3446 3555 3600 3792 3950 4740 5169 5688 5925 6320 6892 7110 7200 7584 7900 8615 9480 10338 11376 11850 12640 13784 14220 15507 15800 17230 17775 18960 20676 22752 23700 25845 27568 28440 31014 31600 34460 35550 37920 41352 43075 47400 51690 55136 56880 62028 63200 68920 71100 77535 82704 86150 94800 103380 113760 124056 129225 136117 137840 142200 155070 165408 172300 189600 206760 248112 258450 272234 275680 284400 310140 344600 387675 408351 413520 496224 516900 544468 568800 620280 680585 689200 775350 816702 827040 1033800 1088936 1225053 1240560 1361170 1378400 1550700 1633404 2041755 2067600 2177872 2450106 2481120 2722340 3101400 3266808 3402925 4083510 4135200 4355744 4900212 5444680 6125265 6202800 6533616 6805850 8167020 9800424 10208775 10889360 12250530 12405600 13067232 13611700 16334040 19600848 20417550 21778720 24501060 27223400 30626325 32668080 39201696 40835100 49002120 54446800 61252650 65336160 81670200 98004240 108893600 122505300 163340400 196008480 245010600 326680800 490021200 980042400
- Sum of all divisors σ(n): 3501650880
- Sum of proper divisors (its aliquot sum) s(n): 2521608480
- 980042400 is an abundant number, because the sum of its proper divisors (2521608480) is greater than itself. Its abundance is 1541566080
Bases of 980042400
- Binary: 1110100110101001000010101000002
- Hexadecimal: 0x3A6A42A0
- Base-36: G7HPK0
Squares and roots of 980042400
- 980042400 squared (9800424002) is 960483105797760000
- 980042400 cubed (9800424003) is 941314168165490625024000000
-
The
square root of 980042400 is 31305.6288868311 -
The
cube root of 980042400 is 993.3027131483
Scales and comparisons
How big is 980042400?- 980,042,400 seconds is equal to 31 years, 8 weeks, 3 days, 2 hours.
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To count from 1 to 980,042,400 would take you about forty-six 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 980042400 cubic inches would be around 82.8 feet tall.
Recreational maths with 980042400
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