68013120
68,013,120 is an even composite number composed of six prime numbers multiplied together.
68013120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 68013120:
26 × 3 × 5 × 7 × 29 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 29 × 349)See below for interesting mathematical facts about the number 68013120 from the Numbermatics database.
Names of 68013120
- Cardinal: 68013120 can be written as Sixty-eight million, thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.801312 × 107
Factors of 68013120
Divisors of 68013120
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 56 58 60 64 70 80 84 87 96 105 112 116 120 140 145 160 168 174 192 203 210 224 232 240 280 290 320 336 348 349 406 420 435 448 464 480 560 580 609 672 696 698 812 840 870 928 960 1015 1047 1120 1160 1218 1344 1392 1396 1624 1680 1740 1745 1856 2030 2094 2240 2320 2436 2443 2784 2792 3045 3248 3360 3480 3490 4060 4188 4640 4872 4886 5235 5568 5584 6090 6496 6720 6960 6980 7329 8120 8376 9280 9744 9772 10121 10470 11168 12180 12215 12992 13920 13960 14658 16240 16752 19488 19544 20242 20940 22336 24360 24430 27840 27920 29316 30363 32480 33504 36645 38976 39088 40484 41880 48720 48860 50605 55840 58632 60726 64960 67008 70847 73290 78176 80968 83760 97440 97720 101210 111680 117264 121452 141694 146580 151815 156352 161936 167520 194880 195440 202420 212541 234528 242904 283388 293160 303630 323872 335040 354235 390880 404840 425082 469056 485808 566776 586320 607260 647744 708470 781760 809680 850164 971616 1062705 1133552 1172640 1214520 1416940 1619360 1700328 1943232 2125410 2267104 2345280 2429040 2833880 3238720 3400656 4250820 4534208 4858080 5667760 6801312 8501640 9716160 11335520 13602624 17003280 22671040 34006560 68013120
- Sum of all divisors σ(n): 256032000
- Sum of proper divisors (its aliquot sum) s(n): 188018880
- 68013120 is an abundant number, because the sum of its proper divisors (188018880) is greater than itself. Its abundance is 120005760
Bases of 68013120
- Binary: 1000000110111001100010000002
- Hexadecimal: 0x40DCC40
- Base-36: 14HR9C
Squares and roots of 68013120
- 68013120 squared (680131202) is 4625784492134400
- 68013120 cubed (680131203) is 314614035757676003328000
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The
square root of 68013120 is 8247.0067297171 -
The
cube root of 68013120 is 408.1917591483
Scales and comparisons
How big is 68013120?- 68,013,120 seconds is equal to 2 years, 8 weeks, 3 days, 4 hours, 32 minutes.
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To count from 1 to 68,013,120 would take you about three 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 68013120 cubic inches would be around 34 feet tall.
Recreational maths with 68013120
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Keywords: Divisors of 68013120, math, Factors of 68013120, curriculum, school, college, exams, university, Prime factorization of 68013120, STEM, science, technology, engineering, physics, economics, calculator, sixty-eight million, thirteen thousand, one hundred twenty.