138621600
138,621,600 is an even composite number composed of five prime numbers multiplied together.
138621600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138621600:
25 × 32 × 52 × 13 × 1481
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 1481)See below for interesting mathematical facts about the number 138621600 from the Numbermatics database.
Names of 138621600
- Cardinal: 138621600 can be written as One hundred thirty-eight million, six hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.386216 × 108
Factors of 138621600
Divisors of 138621600
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 180 195 200 208 225 234 240 260 288 300 312 325 360 390 400 416 450 468 480 520 585 600 624 650 720 780 800 900 936 975 1040 1170 1200 1248 1300 1440 1481 1560 1800 1872 1950 2080 2340 2400 2600 2925 2962 3120 3600 3744 3900 4443 4680 5200 5850 5924 6240 7200 7405 7800 8886 9360 10400 11700 11848 13329 14810 15600 17772 18720 19253 22215 23400 23696 26658 29620 31200 35544 37025 38506 44430 46800 47392 53316 57759 59240 66645 71088 74050 77012 88860 93600 96265 106632 111075 115518 118480 133290 142176 148100 154024 173277 177720 192530 213264 222150 231036 236960 266580 288795 296200 308048 333225 346554 355440 385060 426528 444300 462072 481325 533160 577590 592400 616096 666450 693108 710880 770120 866385 888600 924144 962650 1066320 1155180 1184800 1332900 1386216 1443975 1540240 1732770 1777200 1848288 1925300 2132640 2310360 2665800 2772432 2887950 3080480 3465540 3554400 3850600 4331925 4620720 5331600 5544864 5775900 6931080 7701200 8663850 9241440 10663200 11551800 13862160 15402400 17327700 23103600 27724320 34655400 46207200 69310800 138621600
- Sum of all divisors σ(n): 526770972
- Sum of proper divisors (its aliquot sum) s(n): 388149372
- 138621600 is an abundant number, because the sum of its proper divisors (388149372) is greater than itself. Its abundance is 249527772
Bases of 138621600
- Binary: 10000100001100110010101000002
- Hexadecimal: 0x84332A0
- Base-36: 2AJ540
Squares and roots of 138621600
- 138621600 squared (1386216002) is 19215947986560000
- 138621600 cubed (1386216003) is 2663745455413725696000000
-
The
square root of 138621600 is 11773.7674514151 -
The
cube root of 138621600 is 517.5396594965
Scales and comparisons
How big is 138621600?- 138,621,600 seconds is equal to 4 years, 21 weeks, 1 day, 10 hours.
-
To count from 1 to 138,621,600 would take you about six 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 138621600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138621600
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