135668640
135,668,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 135668640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
135668640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 135668640:
25 × 3 × 5 × 37 × 7639
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 37 × 7639)See below for interesting mathematical facts about the number 135668640 from the Numbermatics database.
Names of 135668640
- Cardinal: 135668640 can be written as One hundred thirty-five million, six hundred sixty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3566864 × 108
Factors of 135668640
Divisors of 135668640
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 7639 8880 15278 17760 22917 30556 38195 45834 61112 76390 91668 114585 122224 152780 183336 229170 244448 282643 305560 366672 458340 565286 611120 733344 847929 916680 1130572 1222240 1413215 1695858 1833360 2261144 2826430 3391716 3666720 4239645 4522288 5652860 6783432 8479290 9044576 11305720 13566864 16958580 22611440 27133728 33917160 45222880 67834320 135668640
- Sum of all divisors σ(n): 438963840
- Sum of proper divisors (its aliquot sum) s(n): 303295200
- 135668640 is an abundant number, because the sum of its proper divisors (303295200) is greater than itself. Its abundance is 167626560
Bases of 135668640
- Binary: 10000001011000100011101000002
- Hexadecimal: 0x81623A0
- Base-36: 28RULC
Squares and roots of 135668640
- 135668640 squared (1356686402) is 18405979879449600
- 135668640 cubed (1356686403) is 2497114258112291180544000
-
The
square root of 135668640 is 11647.6881826395 -
The
cube root of 135668640 is 513.8383216707
Scales and comparisons
How big is 135668640?- 135,668,640 seconds is equal to 4 years, 16 weeks, 2 days, 5 hours, 44 minutes.
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To count from 1 to 135,668,640 would take you about six 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 135668640 cubic inches would be around 42.8 feet tall.
Recreational maths with 135668640
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