968400072
968,400,072 is an even composite number composed of five prime numbers multiplied together.
968400072 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 968400072:
23 × 32 × 31 × 271 × 1601
(2 × 2 × 2 × 3 × 3 × 31 × 271 × 1601)See below for interesting mathematical facts about the number 968400072 from the Numbermatics database.
Names of 968400072
- Cardinal: 968400072 can be written as Nine hundred sixty-eight million, four hundred thousand and seventy-two.
Scientific notation
- Scientific notation: 9.68400072 × 108
Factors of 968400072
Divisors of 968400072
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 271 279 372 542 558 744 813 1084 1116 1601 1626 2168 2232 2439 3202 3252 4803 4878 6404 6504 8401 9606 9756 12808 14409 16802 19212 19512 25203 28818 33604 38424 49631 50406 57636 67208 75609 99262 100812 115272 148893 151218 198524 201624 297786 302436 397048 433871 446679 595572 604872 867742 893358 1191144 1301613 1735484 1786716 2603226 3470968 3573432 3904839 5206452 7809678 10412904 13450001 15619356 26900002 31238712 40350003 53800004 80700006 107600008 121050009 161400012 242100018 322800024 484200036 968400072
- Sum of all divisors σ(n): 2719042560
- Sum of proper divisors (its aliquot sum) s(n): 1750642488
- 968400072 is an abundant number, because the sum of its proper divisors (1750642488) is greater than itself. Its abundance is 782242416
Bases of 968400072
- Binary: 1110011011100010011100110010002
- Hexadecimal: 0x39B89CC8
- Base-36: G0K6A0
Squares and roots of 968400072
- 968400072 squared (9684000722) is 937798699449605184
- 968400072 cubed (9684000723) is 908164328068504020557173248
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The
square root of 968400072 is 31119.1271085807 -
The
cube root of 968400072 is 989.3537502577
Scales and comparisons
How big is 968400072?- 968,400,072 seconds is equal to 30 years, 41 weeks, 1 day, 8 hours, 1 minute, 12 seconds.
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To count from 1 to 968,400,072 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 968400072 cubic inches would be around 82.4 feet tall.
Recreational maths with 968400072
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