146479968
146,479,968 is an even composite number composed of four prime numbers multiplied together.
146479968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 146479968:
25 × 33 × 19 × 8923
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 8923)See below for interesting mathematical facts about the number 146479968 from the Numbermatics database.
Names of 146479968
- Cardinal: 146479968 can be written as One hundred forty-six million, four hundred seventy-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.46479968 × 108
Factors of 146479968
Divisors of 146479968
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 8923 16416 17846 26769 35692 53538 71384 80307 107076 142768 160614 169537 214152 240921 285536 321228 339074 428304 481842 508611 642456 678148 856608 963684 1017222 1284912 1356296 1525833 1927368 2034444 2569824 2712592 3051666 3854736 4068888 4577499 5425184 6103332 7709472 8137776 9154998 12206664 16275552 18309996 24413328 36619992 48826656 73239984 146479968
- Sum of all divisors σ(n): 449769600
- Sum of proper divisors (its aliquot sum) s(n): 303289632
- 146479968 is an abundant number, because the sum of its proper divisors (303289632) is greater than itself. Its abundance is 156809664
Bases of 146479968
- Binary: 10001011101100011011011000002
- Hexadecimal: 0x8BB1B60
- Base-36: 2F7KO0
Squares and roots of 146479968
- 146479968 squared (1464799682) is 21456381025281024
- 146479968 cubed (1464799683) is 3142930005978971586527232
-
The
square root of 146479968 is 12102.8908943277 -
The
cube root of 146479968 is 527.1401293495
Scales and comparisons
How big is 146479968?- 146,479,968 seconds is equal to 4 years, 34 weeks, 1 day, 8 hours, 52 minutes, 48 seconds.
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To count from 1 to 146,479,968 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 146479968 cubic inches would be around 43.9 feet tall.
Recreational maths with 146479968
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