311297920
311,297,920 is an even composite number composed of five prime numbers multiplied together.
311297920 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 311297920:
27 × 5 × 47 × 79 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 47 × 79 × 131)See below for interesting mathematical facts about the number 311297920 from the Numbermatics database.
Names of 311297920
- Cardinal: 311297920 can be written as Three hundred eleven million, two hundred ninety-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.1129792 × 108
Factors of 311297920
Divisors of 311297920
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 5 8 10 16 20 32 40 47 64 79 80 94 128 131 158 160 188 235 262 316 320 376 395 470 524 632 640 655 752 790 940 1048 1264 1310 1504 1580 1880 2096 2528 2620 3008 3160 3713 3760 4192 5056 5240 6016 6157 6320 7426 7520 8384 10112 10349 10480 12314 12640 14852 15040 16768 18565 20698 20960 24628 25280 29704 30080 30785 37130 41396 41920 49256 50560 51745 59408 61570 74260 82792 83840 98512 103490 118816 123140 148520 165584 197024 206980 237632 246280 297040 331168 394048 413960 475264 486403 492560 594080 662336 788096 827920 972806 985120 1188160 1324672 1655840 1945612 1970240 2376320 2432015 3311680 3891224 3940480 4864030 6623360 7782448 9728060 15564896 19456120 31129792 38912240 62259584 77824480 155648960 311297920
- Sum of all divisors σ(n): 775526400
- Sum of proper divisors (its aliquot sum) s(n): 464228480
- 311297920 is an abundant number, because the sum of its proper divisors (464228480) is greater than itself. Its abundance is 152930560
Bases of 311297920
- Binary: 100101000111000000111100000002
- Hexadecimal: 0x128E0780
- Base-36: 55C70G
Squares and roots of 311297920
- 311297920 squared (3112979202) is 96906394996326400
- 311297920 cubed (3112979203) is 30166759197054815961088000
-
The
square root of 311297920 is 17643.6368133103 -
The
cube root of 311297920 is 677.7331668409
Scales and comparisons
How big is 311297920?- 311,297,920 seconds is equal to 9 years, 46 weeks, 4 days, 23 hours, 38 minutes, 40 seconds.
-
To count from 1 to 311,297,920 would take you about fourteen 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 311297920 cubic inches would be around 56.5 feet tall.
Recreational maths with 311297920
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