138213600
138,213,600 is an even composite number composed of six prime numbers multiplied together.
138213600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138213600:
25 × 3 × 52 × 7 × 19 × 433
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 433)See below for interesting mathematical facts about the number 138213600 from the Numbermatics database.
Names of 138213600
- Cardinal: 138213600 can be written as One hundred thirty-eight million, two hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.382136 × 108
Factors of 138213600
Divisors of 138213600
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 70 75 76 80 84 95 96 100 105 112 114 120 133 140 150 152 160 168 175 190 200 210 224 228 240 266 280 285 300 304 336 350 380 399 400 420 433 456 475 480 525 532 560 570 600 608 665 672 700 760 798 800 840 866 912 950 1050 1064 1120 1140 1200 1299 1330 1400 1425 1520 1596 1680 1732 1824 1900 1995 2100 2128 2165 2280 2400 2598 2660 2800 2850 3031 3040 3192 3325 3360 3464 3800 3990 4200 4256 4330 4560 5196 5320 5600 5700 6062 6384 6495 6650 6928 7600 7980 8227 8400 8660 9093 9120 9975 10392 10640 10825 11400 12124 12768 12990 13300 13856 15155 15200 15960 16454 16800 17320 18186 19950 20784 21280 21650 22800 24248 24681 25980 26600 30310 31920 32475 32908 34640 36372 39900 41135 41568 43300 45465 45600 48496 49362 51960 53200 57589 60620 63840 64950 65816 69280 72744 75775 79800 82270 86600 90930 96992 98724 103920 106400 115178 121240 123405 129900 131632 145488 151550 159600 164540 172767 173200 181860 197448 205675 207840 227325 230356 242480 246810 259800 263264 287945 290976 303100 319200 329080 345534 346400 363720 394896 411350 454650 460712 484960 493620 519600 575890 606200 617025 658160 691068 727440 789792 822700 863835 909300 921424 987240 1039200 1151780 1212400 1234050 1316320 1382136 1439725 1454880 1645400 1727670 1818600 1842848 1974480 2303560 2424800 2468100 2764272 2879450 3290800 3455340 3637200 3948960 4319175 4607120 4936200 5528544 5758900 6581600 6910680 7274400 8638350 9214240 9872400 11517800 13821360 17276700 19744800 23035600 27642720 34553400 46071200 69106800 138213600
- Sum of all divisors σ(n): 542465280
- Sum of proper divisors (its aliquot sum) s(n): 404251680
- 138213600 is an abundant number, because the sum of its proper divisors (404251680) is greater than itself. Its abundance is 266038080
Bases of 138213600
- Binary: 10000011110011111000111000002
- Hexadecimal: 0x83CF8E0
- Base-36: 2AAEAO
Squares and roots of 138213600
- 138213600 squared (1382136002) is 19102999224960000
- 138213600 cubed (1382136003) is 2640294293678931456000000
-
The
square root of 138213600 is 11756.4280289551 -
The
cube root of 138213600 is 517.0314085377
Scales and comparisons
How big is 138213600?- 138,213,600 seconds is equal to 4 years, 20 weeks, 3 days, 16 hours, 40 minutes.
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To count from 1 to 138,213,600 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 138213600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138213600
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