961144128
961,144,128 is an even composite number composed of five prime numbers multiplied together.
961144128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 961144128:
26 × 32 × 7 × 127 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 127 × 1877)See below for interesting mathematical facts about the number 961144128 from the Numbermatics database.
Names of 961144128
- Cardinal: 961144128 can be written as Nine hundred sixty-one million, one hundred forty-four thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 9.61144128 × 108
Factors of 961144128
Divisors of 961144128
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 127 144 168 192 224 252 254 288 336 381 448 504 508 576 672 762 889 1008 1016 1143 1344 1524 1778 1877 2016 2032 2286 2667 3048 3556 3754 4032 4064 4572 5334 5631 6096 7112 7508 8001 8128 9144 10668 11262 12192 13139 14224 15016 16002 16893 18288 21336 22524 24384 26278 28448 30032 32004 33786 36576 39417 42672 45048 52556 56896 60064 64008 67572 73152 78834 85344 90096 105112 118251 120128 128016 135144 157668 170688 180192 210224 236502 238379 256032 270288 315336 360384 420448 473004 476758 512064 540576 630672 715137 840896 946008 953516 1081152 1261344 1430274 1668653 1892016 1907032 2145411 2522688 2860548 3337306 3784032 3814064 4290822 5005959 5721096 6674612 7568064 7628128 8581644 10011918 11442192 13349224 15017877 15256256 17163288 20023836 22884384 26698448 30035754 34326576 40047672 45768768 53396896 60071508 68653152 80095344 106793792 120143016 137306304 160190688 240286032 320381376 480572064 961144128
- Sum of all divisors σ(n): 3174991872
- Sum of proper divisors (its aliquot sum) s(n): 2213847744
- 961144128 is an abundant number, because the sum of its proper divisors (2213847744) is greater than itself. Its abundance is 1252703616
Bases of 961144128
- Binary: 1110010100100111100101010000002
- Hexadecimal: 0x3949E540
- Base-36: FW8NK0
Squares and roots of 961144128
- 961144128 squared (9611441282) is 923798034788880384
- 961144128 cubed (9611441283) is 887903056595272100775985152
-
The
square root of 961144128 is 31002.3245580069 -
The
cube root of 961144128 is 986.8765716873
Scales and comparisons
How big is 961144128?- 961,144,128 seconds is equal to 30 years, 29 weeks, 1 day, 8 hours, 28 minutes, 48 seconds.
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To count from 1 to 961,144,128 would take you about forty-five 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 961144128 cubic inches would be around 82.2 feet tall.
Recreational maths with 961144128
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