920742144
920,742,144 is an even composite number composed of five prime numbers multiplied together.
920742144 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 920742144:
28 × 3 × 72 × 43 × 569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 43 × 569)See below for interesting mathematical facts about the number 920742144 from the Numbermatics database.
Names of 920742144
- Cardinal: 920742144 can be written as Nine hundred twenty million, seven hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 9.20742144 × 108
Factors of 920742144
Divisors of 920742144
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 49 56 64 84 86 96 98 112 128 129 147 168 172 192 196 224 256 258 294 301 336 344 384 392 448 516 569 588 602 672 688 768 784 896 903 1032 1138 1176 1204 1344 1376 1568 1707 1792 1806 2064 2107 2276 2352 2408 2688 2752 3136 3414 3612 3983 4128 4214 4552 4704 4816 5376 5504 6272 6321 6828 7224 7966 8256 8428 9104 9408 9632 11008 11949 12544 12642 13656 14448 15932 16512 16856 18208 18816 19264 23898 24467 25284 27312 27881 28896 31864 33024 33712 36416 37632 38528 47796 48934 50568 54624 55762 57792 63728 67424 72832 73401 77056 83643 95592 97868 101136 109248 111524 115584 127456 134848 145664 146802 167286 171269 191184 195736 202272 218496 223048 231168 254912 269696 293604 334572 342538 382368 391472 404544 436992 446096 509824 513807 539392 587208 669144 685076 764736 782944 809088 892192 1019648 1027614 1174416 1198883 1338288 1370152 1529472 1565888 1618176 1784384 2055228 2348832 2397766 2676576 2740304 3058944 3131776 3568768 3596649 4110456 4697664 4795532 5353152 5480608 6263552 7137536 7193298 8220912 9395328 9591064 10706304 10961216 14386596 16441824 18790656 19182128 21412608 21922432 28773192 32883648 38364256 43844864 57546384 65767296 76728512 115092768 131534592 153457024 230185536 306914048 460371072 920742144
- Sum of all divisors σ(n): 2922020640
- Sum of proper divisors (its aliquot sum) s(n): 2001278496
- 920742144 is an abundant number, because the sum of its proper divisors (2001278496) is greater than itself. Its abundance is 1080536352
Bases of 920742144
- Binary: 1101101110000101101001000000002
- Hexadecimal: 0x36E16900
- Base-36: F86P6O
Squares and roots of 920742144
- 920742144 squared (9207421442) is 847766095737716736
- 920742144 cubed (9207421443) is 780573972600054569169321984
-
The
square root of 920742144 is 30343.7331915505 -
The
cube root of 920742144 is 972.8502780165
Scales and comparisons
How big is 920742144?- 920,742,144 seconds is equal to 29 years, 14 weeks, 2 days, 17 hours, 42 minutes, 24 seconds.
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To count from 1 to 920,742,144 would take you about forty-three 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 920742144 cubic inches would be around 81.1 feet tall.
Recreational maths with 920742144
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