146468952
146,468,952 is an even composite number composed of five prime numbers multiplied together.
146468952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 146468952:
23 × 33 × 7 × 73 × 1327
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 73 × 1327)See below for interesting mathematical facts about the number 146468952 from the Numbermatics database.
Names of 146468952
- Cardinal: 146468952 can be written as One hundred forty-six million, four hundred sixty-eight thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.46468952 × 108
Factors of 146468952
Divisors of 146468952
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 73 84 108 126 146 168 189 216 219 252 292 378 438 504 511 584 657 756 876 1022 1314 1327 1512 1533 1752 1971 2044 2628 2654 3066 3942 3981 4088 4599 5256 5308 6132 7884 7962 9198 9289 10616 11943 12264 13797 15768 15924 18396 18578 23886 27594 27867 31848 35829 36792 37156 47772 55188 55734 71658 74312 83601 95544 96871 110376 111468 143316 167202 193742 222936 250803 286632 290613 334404 387484 501606 581226 668808 678097 774968 871839 1003212 1162452 1356194 1743678 2006424 2034291 2324904 2615517 2712388 3487356 4068582 5231034 5424776 6102873 6974712 8137164 10462068 12205746 16274328 18308619 20924136 24411492 36617238 48822984 73234476 146468952
- Sum of all divisors σ(n): 471705600
- Sum of proper divisors (its aliquot sum) s(n): 325236648
- 146468952 is an abundant number, because the sum of its proper divisors (325236648) is greater than itself. Its abundance is 178767696
Bases of 146468952
- Binary: 10001011101011110000010110002
- Hexadecimal: 0x8BAF058
- Base-36: 2F7C60
Squares and roots of 146468952
- 146468952 squared (1464689522) is 21453153899978304
- 146468952 cubed (1464689523) is 3142220968824535009617408
-
The
square root of 146468952 is 12102.4357878901 -
The
cube root of 146468952 is 527.1269145249
Scales and comparisons
How big is 146468952?- 146,468,952 seconds is equal to 4 years, 34 weeks, 1 day, 5 hours, 49 minutes, 12 seconds.
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To count from 1 to 146,468,952 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 146468952 cubic inches would be around 43.9 feet tall.
Recreational maths with 146468952
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