213938640
213,938,640 is an even composite number composed of five prime numbers multiplied together.
213938640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 213938640:
24 × 32 × 5 × 23 × 12919
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 23 × 12919)See below for interesting mathematical facts about the number 213938640 from the Numbermatics database.
Names of 213938640
- Cardinal: 213938640 can be written as Two hundred thirteen million, nine hundred thirty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.1393864 × 108
Factors of 213938640
Divisors of 213938640
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 12919 16560 25838 38757 51676 64595 77514 103352 116271 129190 155028 193785 206704 232542 258380 297137 310056 387570 465084 516760 581355 594274 620112 775140 891411 930168 1033520 1162710 1188548 1485685 1550280 1782822 1860336 2325420 2377096 2674233 2971370 3100560 3565644 4457055 4650840 4754192 5348466 5942740 7131288 8914110 9301680 10696932 11885480 13371165 14262576 17828220 21393864 23770960 26742330 35656440 42787728 53484660 71312880 106969320 213938640
- Sum of all divisors σ(n): 749773440
- Sum of proper divisors (its aliquot sum) s(n): 535834800
- 213938640 is an abundant number, because the sum of its proper divisors (535834800) is greater than itself. Its abundance is 321896160
Bases of 213938640
- Binary: 11001100000001110001110100002
- Hexadecimal: 0xCC071D0
- Base-36: 3JDG40
Squares and roots of 213938640
- 213938640 squared (2139386402) is 45769741685049600
- 213938640 cubed (2139386403) is 9791916289250819756544000
-
The
square root of 213938640 is 14626.6414463471 -
The
cube root of 213938640 is 598.0852292551
Scales and comparisons
How big is 213938640?- 213,938,640 seconds is equal to 6 years, 41 weeks, 5 days, 3 hours, 24 minutes.
-
To count from 1 to 213,938,640 would take you about ten 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 213938640 cubic inches would be around 49.8 feet tall.
Recreational maths with 213938640
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