468940368
468,940,368 is an even composite number composed of six prime numbers multiplied together.
468940368 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 468940368:
24 × 3 × 13 × 19 × 37 × 1069
(2 × 2 × 2 × 2 × 3 × 13 × 19 × 37 × 1069)See below for interesting mathematical facts about the number 468940368 from the Numbermatics database.
Names of 468940368
- Cardinal: 468940368 can be written as Four hundred sixty-eight million, nine hundred forty thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.68940368 × 108
Factors of 468940368
Divisors of 468940368
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 37 38 39 48 52 57 74 76 78 104 111 114 148 152 156 208 222 228 247 296 304 312 444 456 481 494 592 624 703 741 888 912 962 988 1069 1406 1443 1482 1776 1924 1976 2109 2138 2812 2886 2964 3207 3848 3952 4218 4276 5624 5772 5928 6414 7696 8436 8552 9139 11248 11544 11856 12828 13897 16872 17104 18278 20311 23088 25656 27417 27794 33744 36556 39553 40622 41691 51312 54834 55588 60933 73112 79106 81244 83382 109668 111176 118659 121866 146224 158212 162488 166764 219336 222352 237318 243732 264043 316424 324976 333528 438672 474636 487464 514189 528086 632848 667056 751507 792129 949272 974928 1028378 1056172 1503014 1542567 1584258 1898544 2056756 2112344 2254521 3006028 3085134 3168516 4113512 4224688 4509042 6012056 6170268 6337032 8227024 9018084 9769591 12024112 12340536 12674064 18036168 19539182 24681072 29308773 36072336 39078364 58617546 78156728 117235092 156313456 234470184 468940368
- Sum of all divisors σ(n): 1411715200
- Sum of proper divisors (its aliquot sum) s(n): 942774832
- 468940368 is an abundant number, because the sum of its proper divisors (942774832) is greater than itself. Its abundance is 473834464
Bases of 468940368
- Binary: 110111111001101110110010100002
- Hexadecimal: 0x1BF37650
- Base-36: 7R70PC
Squares and roots of 468940368
- 468940368 squared (4689403682) is 219905068739975424
- 468940368 cubed (4689403683) is 103122363859989371641516032
-
The
square root of 468940368 is 21655.0310089827 -
The
cube root of 468940368 is 776.9132709471
Scales and comparisons
How big is 468940368?- 468,940,368 seconds is equal to 14 years, 47 weeks, 2 days, 13 hours, 12 minutes, 48 seconds.
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To count from 1 to 468,940,368 would take you about twenty-two 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 468940368 cubic inches would be around 64.7 feet tall.
Recreational maths with 468940368
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