106815150
106,815,150 is an even composite number composed of six prime numbers multiplied together.
106815150 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 106815150:
2 × 32 × 52 × 13 × 19 × 312
(2 × 3 × 3 × 5 × 5 × 13 × 19 × 31 × 31)See below for interesting mathematical facts about the number 106815150 from the Numbermatics database.
Names of 106815150
- Cardinal: 106815150 can be written as One hundred six million, eight hundred fifteen thousand, one hundred fifty.
Scientific notation
- Scientific notation: 1.0681515 × 108
Factors of 106815150
Divisors of 106815150
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 19 25 26 30 31 38 39 45 50 57 62 65 75 78 90 93 95 114 117 130 150 155 171 186 190 195 225 234 247 279 285 310 325 342 390 403 450 465 475 494 558 570 585 589 650 741 775 806 855 930 950 961 975 1170 1178 1209 1235 1395 1425 1482 1550 1710 1767 1922 1950 2015 2223 2325 2418 2470 2790 2850 2883 2925 2945 3534 3627 3705 4030 4275 4446 4650 4805 5301 5766 5850 5890 6045 6175 6975 7254 7410 7657 8550 8649 8835 9610 10075 10602 11115 12090 12350 12493 13950 14415 14725 15314 17298 17670 18135 18259 18525 20150 22230 22971 24025 24986 26505 28830 29450 30225 36270 36518 37050 37479 38285 43245 44175 45942 48050 53010 54777 55575 60450 62465 68913 72075 74958 76570 86490 88350 90675 91295 109554 111150 112437 114855 124930 132525 137826 144150 164331 181350 182590 187395 191425 216225 224874 229710 237367 265050 273885 312325 328662 344565 374790 382850 432450 456475 474734 547770 562185 574275 624650 689130 712101 821655 912950 936975 1124370 1148550 1186835 1369425 1424202 1643310 1722825 1873950 2136303 2373670 2738850 2810925 3445650 3560505 4108275 4272606 5621850 5934175 7121010 8216550 10681515 11868350 17802525 21363030 35605050 53407575 106815150
- Sum of all divisors σ(n): 336150360
- Sum of proper divisors (its aliquot sum) s(n): 229335210
- 106815150 is an abundant number, because the sum of its proper divisors (229335210) is greater than itself. Its abundance is 122520060
Bases of 106815150
- Binary: 1100101110111011110101011102
- Hexadecimal: 0x65DDEAE
- Base-36: 1RLF3I
Squares and roots of 106815150
- 106815150 squared (1068151502) is 11409476269522500
- 106815150 cubed (1068151503) is 1218704919150486265875000
-
The
square root of 106815150 is 10335.1415084651 -
The
cube root of 106815150 is 474.4723966409
Scales and comparisons
How big is 106815150?- 106,815,150 seconds is equal to 3 years, 20 weeks, 4 days, 6 hours, 52 minutes, 30 seconds.
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To count from 1 to 106,815,150 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 106815150 cubic inches would be around 39.5 feet tall.
Recreational maths with 106815150
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