948080133
948,080,133 is an odd composite number composed of five prime numbers multiplied together.
948080133 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 948080133:
34 × 7 × 112 × 13 × 1063
(3 × 3 × 3 × 3 × 7 × 11 × 11 × 13 × 1063)See below for interesting mathematical facts about the number 948080133 from the Numbermatics database.
Names of 948080133
- Cardinal: 948080133 can be written as Nine hundred forty-eight million, eighty thousand, one hundred thirty-three.
Scientific notation
- Scientific notation: 9.48080133 × 108
Factors of 948080133
Divisors of 948080133
- Number of divisors d(n): 120
-
Complete list of divisors:
1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 121 143 189 231 273 297 351 363 429 567 693 819 847 891 1001 1053 1063 1089 1287 1573 2079 2457 2541 3003 3189 3267 3861 4719 6237 7371 7441 7623 9009 9567 9801 11011 11583 11693 13819 14157 22323 22869 27027 28701 33033 35079 41457 42471 66969 68607 81081 81851 86103 96733 99099 105237 124371 127413 128623 152009 200907 245553 290199 297297 315711 373113 385869 456027 602721 736659 870597 891891 900361 947133 1064063 1119339 1157607 1368081 1672099 2209977 2611791 2701083 3192189 3472821 4104243 5016297 6629931 7835373 8103249 9576567 10418463 11704693 12312729 15048891 24309747 28729701 35114079 45146673 72929241 86189103 105342237 135440019 316026711 948080133
- Sum of all divisors σ(n): 1917770624
- Sum of proper divisors (its aliquot sum) s(n): 969690491
- 948080133 is an abundant number, because the sum of its proper divisors (969690491) is greater than itself. Its abundance is 21610358
Bases of 948080133
- Binary: 1110001000001010001110000001012
- Hexadecimal: 0x38828E05
- Base-36: FOGNB9
Squares and roots of 948080133
- 948080133 squared (9480801332) is 898855938589297689
- 948080133 cubed (9480801333) is 852187457805581185363712637
-
The
square root of 948080133 is 30790.9099086077 -
The
cube root of 948080133 is 982.3849081431
Scales and comparisons
How big is 948080133?- 948,080,133 seconds is equal to 30 years, 7 weeks, 4 days, 3 hours, 35 minutes, 33 seconds.
-
To count from 1 to 948,080,133 would take you about forty-five 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 948080133 cubic inches would be around 81.9 feet tall.
Recreational maths with 948080133
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