40428864
40,428,864 is an even composite number composed of five prime numbers multiplied together.
40428864 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 40428864:
26 × 32 × 7 × 37 × 271
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 37 × 271)See below for interesting mathematical facts about the number 40428864 from the Numbermatics database.
Names of 40428864
- Cardinal: 40428864 can be written as Forty million, four hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 4.0428864 × 107
Factors of 40428864
Divisors of 40428864
- 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 37 42 48 56 63 64 72 74 84 96 111 112 126 144 148 168 192 222 224 252 259 271 288 296 333 336 444 448 504 518 542 576 592 666 672 777 813 888 1008 1036 1084 1184 1332 1344 1554 1626 1776 1897 2016 2072 2168 2331 2368 2439 2664 3108 3252 3552 3794 4032 4144 4336 4662 4878 5328 5691 6216 6504 7104 7588 8288 8672 9324 9756 10027 10656 11382 12432 13008 15176 16576 17073 17344 18648 19512 20054 21312 22764 24864 26016 30081 30352 34146 37296 39024 40108 45528 49728 52032 60162 60704 68292 70189 74592 78048 80216 90243 91056 120324 121408 136584 140378 149184 156096 160432 180486 182112 210567 240648 273168 280756 320864 360972 364224 421134 481296 546336 561512 631701 641728 721944 842268 962592 1092672 1123024 1263402 1443888 1684536 1925184 2246048 2526804 2887776 3369072 4492096 5053608 5775552 6738144 10107216 13476288 20214432 40428864
- Sum of all divisors σ(n): 136517888
- Sum of proper divisors (its aliquot sum) s(n): 96089024
- 40428864 is an abundant number, because the sum of its proper divisors (96089024) is greater than itself. Its abundance is 55660160
Bases of 40428864
- Binary: 100110100011100101010000002
- Hexadecimal: 0x268E540
- Base-36: O2J40
Squares and roots of 40428864
- 40428864 squared (404288642) is 1634493044330496
- 40428864 cubed (404288643) is 66080696998183593836544
-
The
square root of 40428864 is 6358.3696023429 -
The
cube root of 40428864 is 343.2130922353
Scales and comparisons
How big is 40428864?- 40,428,864 seconds is equal to 1 year, 14 weeks, 5 days, 22 hours, 14 minutes, 24 seconds.
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To count from 1 to 40,428,864 would take you about forty-eight weeks!
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 40428864 cubic inches would be around 28.6 feet tall.
Recreational maths with 40428864
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