968032512
968,032,512 is an even composite number composed of four prime numbers multiplied together.
968032512 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 968032512:
28 × 33 × 43 × 3257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 43 × 3257)See below for interesting mathematical facts about the number 968032512 from the Numbermatics database.
Names of 968032512
- Cardinal: 968032512 can be written as Nine hundred sixty-eight million, thirty-two thousand, five hundred twelve.
Scientific notation
- Scientific notation: 9.68032512 × 108
Factors of 968032512
Divisors of 968032512
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 344 384 387 432 516 576 688 768 774 864 1032 1152 1161 1376 1548 1728 2064 2304 2322 2752 3096 3257 3456 4128 4644 5504 6192 6514 6912 8256 9288 9771 11008 12384 13028 16512 18576 19542 24768 26056 29313 33024 37152 39084 49536 52112 58626 74304 78168 87939 99072 104224 117252 140051 148608 156336 175878 208448 234504 280102 297216 312672 351756 416896 420153 469008 560204 625344 703512 833792 840306 938016 1120408 1250688 1260459 1407024 1680612 1876032 2240816 2501376 2520918 2814048 3361224 3752064 3781377 4481632 5041836 5628096 6722448 7504128 7562754 8963264 10083672 11256192 13444896 15125508 17926528 20167344 22512384 26889792 30251016 35853056 40334688 53779584 60502032 80669376 107559168 121004064 161338752 242008128 322677504 484016256 968032512
- Sum of all divisors σ(n): 2930114880
- Sum of proper divisors (its aliquot sum) s(n): 1962082368
- 968032512 is an abundant number, because the sum of its proper divisors (1962082368) is greater than itself. Its abundance is 994049856
Bases of 968032512
- Binary: 1110011011001100000001000000002
- Hexadecimal: 0x39B30100
- Base-36: G0CAO0
Squares and roots of 968032512
- 968032512 squared (9680325122) is 937086944289030144
- 968032512 cubed (9680325123) is 907130628642513904340041728
-
The
square root of 968032512 is 31113.2208554499 -
The
cube root of 968032512 is 989.2285634015
Scales and comparisons
How big is 968032512?- 968,032,512 seconds is equal to 30 years, 40 weeks, 4 days, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 968,032,512 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 968032512 cubic inches would be around 82.4 feet tall.
Recreational maths with 968032512
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