68435200
68,435,200 is an even composite number composed of four prime numbers multiplied together.
68435200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 68435200:
28 × 52 × 172 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 37)See below for interesting mathematical facts about the number 68435200 from the Numbermatics database.
Names of 68435200
- Cardinal: 68435200 can be written as Sixty-eight million, four hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 6.84352 × 107
Factors of 68435200
Divisors of 68435200
- Number of divisors d(n): 162
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 37 40 50 64 68 74 80 85 100 128 136 148 160 170 185 200 256 272 289 296 320 340 370 400 425 544 578 592 629 640 680 740 800 850 925 1088 1156 1184 1258 1280 1360 1445 1480 1600 1700 1850 2176 2312 2368 2516 2720 2890 2960 3145 3200 3400 3700 4352 4624 4736 5032 5440 5780 5920 6290 6400 6800 7225 7400 9248 9472 10064 10693 10880 11560 11840 12580 13600 14450 14800 15725 18496 20128 21386 21760 23120 23680 25160 27200 28900 29600 31450 36992 40256 42772 46240 47360 50320 53465 54400 57800 59200 62900 73984 80512 85544 92480 100640 106930 108800 115600 118400 125800 161024 171088 184960 201280 213860 231200 236800 251600 267325 342176 369920 402560 427720 462400 503200 534650 684352 805120 855440 924800 1006400 1069300 1368704 1710880 1849600 2012800 2138600 2737408 3421760 4025600 4277200 6843520 8554400 13687040 17108800 34217600 68435200
- Sum of all divisors σ(n): 184801106
- Sum of proper divisors (its aliquot sum) s(n): 116365906
- 68435200 is an abundant number, because the sum of its proper divisors (116365906) is greater than itself. Its abundance is 47930706
Bases of 68435200
- Binary: 1000001010000111101000000002
- Hexadecimal: 0x4143D00
- Base-36: 14QSXS
Squares and roots of 68435200
- 68435200 squared (684352002) is 4683376599040000
- 68435200 cubed (684352003) is 320507814230622208000000
-
The
square root of 68435200 is 8272.5570412055 -
The
cube root of 68435200 is 409.0344122503
Scales and comparisons
How big is 68435200?- 68,435,200 seconds is equal to 2 years, 9 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
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To count from 1 to 68,435,200 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 68435200 cubic inches would be around 34.1 feet tall.
Recreational maths with 68435200
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