138106800
138,106,800 is an even composite number composed of five prime numbers multiplied together.
138106800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 138106800:
24 × 32 × 52 × 132 × 227
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 227)See below for interesting mathematical facts about the number 138106800 from the Numbermatics database.
Names of 138106800
- Cardinal: 138106800 can be written as One hundred thirty-eight million, one hundred six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381068 × 108
Factors of 138106800
Divisors of 138106800
- Number of divisors d(n): 270
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 45 48 50 52 60 65 72 75 78 80 90 100 104 117 120 130 144 150 156 169 180 195 200 208 225 227 234 240 260 300 312 325 338 360 390 400 450 454 468 507 520 585 600 624 650 676 681 720 780 845 900 908 936 975 1014 1040 1135 1170 1200 1300 1352 1362 1521 1560 1690 1800 1816 1872 1950 2028 2043 2270 2340 2535 2600 2704 2724 2925 2951 3042 3120 3380 3405 3600 3632 3900 4056 4086 4225 4540 4680 5070 5200 5448 5675 5850 5902 6084 6760 6810 7605 7800 8112 8172 8450 8853 9080 9360 10140 10215 10896 11350 11700 11804 12168 12675 13520 13620 14755 15210 15600 16344 16900 17025 17706 18160 20280 20430 22700 23400 23608 24336 25350 26559 27240 29510 30420 32688 33800 34050 35412 38025 38363 40560 40860 44265 45400 46800 47216 50700 51075 53118 54480 59020 60840 67600 68100 70824 73775 76050 76726 81720 88530 90800 101400 102150 106236 115089 118040 121680 132795 136200 141648 147550 152100 153452 163440 177060 191815 202800 204300 212472 221325 230178 236080 265590 272400 295100 304200 306904 345267 354120 383630 408600 424944 442650 460356 531180 575445 590200 608400 613808 663975 690534 708240 767260 817200 885300 920712 959075 1062360 1150890 1180400 1327950 1381068 1534520 1726335 1770600 1841424 1918150 2124720 2301780 2655900 2762136 2877225 3069040 3452670 3541200 3836300 4603560 5311800 5524272 5754450 6905340 7672600 8631675 9207120 10623600 11508900 13810680 15345200 17263350 23017800 27621360 34526700 46035600 69053400 138106800
- Sum of all divisors σ(n): 521257932
- Sum of proper divisors (its aliquot sum) s(n): 383151132
- 138106800 is an abundant number, because the sum of its proper divisors (383151132) is greater than itself. Its abundance is 245044332
Bases of 138106800
- Binary: 10000011101101010111101100002
- Hexadecimal: 0x83B57B0
- Base-36: 2A83W0
Squares and roots of 138106800
- 138106800 squared (1381068002) is 19073488206240000
- 138106800 cubed (1381068003) is 2634178421001546432000000
-
The
square root of 138106800 is 11751.8849551891 -
The
cube root of 138106800 is 516.8982012329
Scales and comparisons
How big is 138106800?- 138,106,800 seconds is equal to 4 years, 20 weeks, 2 days, 11 hours.
-
To count from 1 to 138,106,800 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 138106800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138106800
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