123872000
123,872,000 is an even composite number composed of four prime numbers multiplied together.
123872000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 123872000:
28 × 53 × 72 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 79)See below for interesting mathematical facts about the number 123872000 from the Numbermatics database.
Names of 123872000
- Cardinal: 123872000 can be written as One hundred twenty-three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.23872 × 108
Factors of 123872000
Divisors of 123872000
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 79 80 98 100 112 125 128 140 158 160 175 196 200 224 245 250 256 280 316 320 350 392 395 400 448 490 500 553 560 632 640 700 784 790 800 875 896 980 1000 1106 1120 1225 1264 1280 1400 1568 1580 1600 1750 1792 1960 1975 2000 2212 2240 2450 2528 2765 2800 3136 3160 3200 3500 3871 3920 3950 4000 4424 4480 4900 5056 5530 5600 6125 6272 6320 6400 7000 7742 7840 7900 8000 8848 8960 9800 9875 10112 11060 11200 12250 12544 12640 13825 14000 15484 15680 15800 16000 17696 19355 19600 19750 20224 22120 22400 24500 25280 27650 28000 30968 31360 31600 32000 35392 38710 39200 39500 44240 44800 49000 50560 55300 56000 61936 62720 63200 69125 70784 77420 78400 79000 88480 96775 98000 101120 110600 112000 123872 126400 138250 141568 154840 156800 158000 176960 193550 196000 221200 224000 247744 252800 276500 309680 313600 316000 353920 387100 392000 442400 483875 495488 505600 553000 619360 632000 707840 774200 784000 884800 967750 990976 1106000 1238720 1264000 1548400 1568000 1769600 1935500 2212000 2477440 2528000 3096800 3539200 3871000 4424000 4954880 6193600 7742000 8848000 12387200 15484000 17696000 24774400 30968000 61936000 123872000
- Sum of all divisors σ(n): 363504960
- Sum of proper divisors (its aliquot sum) s(n): 239632960
- 123872000 is an abundant number, because the sum of its proper divisors (239632960) is greater than itself. Its abundance is 115760960
Bases of 123872000
- Binary: 1110110001000100011000000002
- Hexadecimal: 0x7622300
- Base-36: 21R08W
Squares and roots of 123872000
- 123872000 squared (1238720002) is 15344272384000000
- 123872000 cubed (1238720003) is 1900725708750848000000000
-
The
square root of 123872000 is 11129.7798720371 -
The
cube root of 123872000 is 498.4914531501
Scales and comparisons
How big is 123872000?- 123,872,000 seconds is equal to 3 years, 48 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 123,872,000 would take you about 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 123872000 cubic inches would be around 41.5 feet tall.
Recreational maths with 123872000
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