968329728
968,329,728 is an even composite number composed of four prime numbers multiplied together.
968329728 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 968329728:
29 × 35 × 43 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 43 × 181)See below for interesting mathematical facts about the number 968329728 from the Numbermatics database.
Names of 968329728
- Cardinal: 968329728 can be written as Nine hundred sixty-eight million, three hundred twenty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 9.68329728 × 108
Factors of 968329728
Divisors of 968329728
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 181 192 216 243 256 258 288 324 344 362 384 387 432 486 512 516 543 576 648 688 724 768 774 864 972 1032 1086 1152 1161 1296 1376 1448 1536 1548 1629 1728 1944 2064 2172 2304 2322 2592 2752 2896 3096 3258 3456 3483 3888 4128 4344 4608 4644 4887 5184 5504 5792 6192 6516 6912 6966 7776 7783 8256 8688 9288 9774 10368 10449 11008 11584 12384 13032 13824 13932 14661 15552 15566 16512 17376 18576 19548 20736 20898 22016 23168 23349 24768 26064 27864 29322 31104 31132 33024 34752 37152 39096 41472 41796 43983 46336 46698 49536 52128 55728 58644 62208 62264 66048 69504 70047 74304 78192 83592 87966 92672 93396 99072 104256 111456 117288 124416 124528 139008 140094 148608 156384 167184 175932 186792 198144 208512 210141 222912 234576 249056 278016 280188 297216 312768 334368 351864 373584 417024 420282 445824 469152 498112 560376 594432 625536 630423 668736 703728 747168 834048 840564 891648 938304 996224 1120752 1251072 1260846 1337472 1407456 1494336 1681128 1783296 1876608 1891269 1992448 2241504 2502144 2521692 2674944 2814912 2988672 3362256 3753216 3782538 3984896 4483008 5043384 5349888 5629824 5977344 6724512 7506432 7565076 8966016 10086768 11259648 11954688 13449024 15130152 17932032 20173536 22519296 26898048 30260304 35864064 40347072 53796096 60520608 80694144 107592192 121041216 161388288 242082432 322776576 484164864 968329728
- Sum of all divisors σ(n): 2981954976
- Sum of proper divisors (its aliquot sum) s(n): 2013625248
- 968329728 is an abundant number, because the sum of its proper divisors (2013625248) is greater than itself. Its abundance is 1045295520
Bases of 968329728
- Binary: 1110011011011110001010000000002
- Hexadecimal: 0x39B78A00
- Base-36: G0IO00
Squares and roots of 968329728
- 968329728 squared (9683297282) is 937662462128553984
- 968329728 cubed (9683297283) is 907966436908752980360036352
-
The
square root of 968329728 is 31117.9968506971 -
The
cube root of 968329728 is 989.3297943235
Scales and comparisons
How big is 968329728?- 968,329,728 seconds is equal to 30 years, 41 weeks, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 968,329,728 would take you about forty-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 968329728 cubic inches would be around 82.4 feet tall.
Recreational maths with 968329728
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