48114144
48,114,144 is an even composite number composed of five prime numbers multiplied together.
48114144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 48114144:
25 × 32 × 13 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 71 × 181)See below for interesting mathematical facts about the number 48114144 from the Numbermatics database.
Names of 48114144
- Cardinal: 48114144 can be written as Forty-eight million, one hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.8114144 × 107
Factors of 48114144
Divisors of 48114144
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 71 72 78 96 104 117 142 144 156 181 208 213 234 284 288 312 362 416 426 468 543 568 624 639 724 852 923 936 1086 1136 1248 1278 1448 1629 1704 1846 1872 2172 2272 2353 2556 2769 2896 3258 3408 3692 3744 4344 4706 5112 5538 5792 6516 6816 7059 7384 8307 8688 9412 10224 11076 12851 13032 14118 14768 16614 17376 18824 20448 21177 22152 25702 26064 28236 29536 33228 37648 38553 42354 44304 51404 52128 56472 66456 75296 77106 84708 88608 102808 112944 115659 132912 154212 167063 169416 205616 225888 231318 265824 308424 334126 338832 411232 462636 501189 616848 668252 677664 925272 1002378 1233696 1336504 1503567 1850544 2004756 2673008 3007134 3701088 4009512 5346016 6014268 8019024 12028536 16038048 24057072 48114144
- Sum of all divisors σ(n): 150250464
- Sum of proper divisors (its aliquot sum) s(n): 102136320
- 48114144 is an abundant number, because the sum of its proper divisors (102136320) is greater than itself. Its abundance is 54022176
Bases of 48114144
- Binary: 101101111000101001111000002
- Hexadecimal: 0x2DE29E0
- Base-36: SN940
Squares and roots of 48114144
- 48114144 squared (481141442) is 2314970852852736
- 48114144 cubed (481141443) is 111382840969959350697984
-
The
square root of 48114144 is 6936.4359724573 -
The
cube root of 48114144 is 363.7119647055
Scales and comparisons
How big is 48114144?- 48,114,144 seconds is equal to 1 year, 27 weeks, 3 days, 21 hours, 2 minutes, 24 seconds.
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To count from 1 to 48,114,144 would take you about 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 48114144 cubic inches would be around 30.3 feet tall.
Recreational maths with 48114144
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