40968900
40,968,900 is an even composite number composed of five prime numbers multiplied together.
40968900 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 40968900:
22 × 32 × 52 × 72 × 929
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 929)See below for interesting mathematical facts about the number 40968900 from the Numbermatics database.
Names of 40968900
- Cardinal: 40968900 can be written as Forty million, nine hundred sixty-eight thousand, nine hundred.
Scientific notation
- Scientific notation: 4.09689 × 107
Factors of 40968900
Divisors of 40968900
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 49 50 60 63 70 75 84 90 98 100 105 126 140 147 150 175 180 196 210 225 245 252 294 300 315 350 420 441 450 490 525 588 630 700 735 882 900 929 980 1050 1225 1260 1470 1575 1764 1858 2100 2205 2450 2787 2940 3150 3675 3716 4410 4645 4900 5574 6300 6503 7350 8361 8820 9290 11025 11148 13006 13935 14700 16722 18580 19509 22050 23225 26012 27870 32515 33444 39018 41805 44100 45521 46450 55740 58527 65030 69675 78036 83610 91042 92900 97545 117054 130060 136563 139350 162575 167220 182084 195090 209025 227605 234108 273126 278700 292635 325150 390180 409689 418050 455210 487725 546252 585270 650300 682815 819378 836100 910420 975450 1138025 1170540 1365630 1463175 1638756 1950900 2048445 2276050 2731260 2926350 3414075 4096890 4552100 5852700 6828150 8193780 10242225 13656300 20484450 40968900
- Sum of all divisors σ(n): 149541210
- Sum of proper divisors (its aliquot sum) s(n): 108572310
- 40968900 is an abundant number, because the sum of its proper divisors (108572310) is greater than itself. Its abundance is 67603410
Bases of 40968900
- Binary: 100111000100100010110001002
- Hexadecimal: 0x27122C4
- Base-36: OE3T0
Squares and roots of 40968900
- 40968900 squared (409689002) is 1678450767210000
- 40968900 cubed (409689003) is 68764281636749769000000
-
The
square root of 40968900 is 6400.6952747339 -
The
cube root of 40968900 is 344.7345153531
Scales and comparisons
How big is 40968900?- 40,968,900 seconds is equal to 1 year, 15 weeks, 5 days, 4 hours, 15 minutes.
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To count from 1 to 40,968,900 would take you about forty-nine 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 40968900 cubic inches would be around 28.7 feet tall.
Recreational maths with 40968900
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