138875200
138,875,200 is an even composite number composed of five prime numbers multiplied together.
138875200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138875200:
26 × 52 × 29 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 29 × 41 × 73)See below for interesting mathematical facts about the number 138875200 from the Numbermatics database.
Names of 138875200
- Cardinal: 138875200 can be written as One hundred thirty-eight million, eight hundred seventy-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.388752 × 108
Factors of 138875200
Divisors of 138875200
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 41 50 58 64 73 80 82 100 116 145 146 160 164 200 205 232 290 292 320 328 365 400 410 464 580 584 656 725 730 800 820 928 1025 1160 1168 1189 1312 1450 1460 1600 1640 1825 1856 2050 2117 2320 2336 2378 2624 2900 2920 2993 3280 3650 4100 4234 4640 4672 4756 5800 5840 5945 5986 6560 7300 8200 8468 9280 9512 10585 11600 11680 11890 11972 13120 14600 14965 16400 16936 19024 21170 23200 23360 23780 23944 29200 29725 29930 32800 33872 38048 42340 46400 47560 47888 52925 58400 59450 59860 65600 67744 74825 76096 84680 86797 95120 95776 105850 116800 118900 119720 135488 149650 169360 173594 190240 191552 211700 237800 239440 299300 338720 347188 380480 423400 433985 475600 478880 598600 677440 694376 846800 867970 951200 957760 1197200 1388752 1693600 1735940 1902400 2169925 2394400 2777504 3387200 3471880 4339850 4788800 5555008 6943760 8679700 13887520 17359400 27775040 34718800 69437600 138875200
- Sum of all divisors σ(n): 367085880
- Sum of proper divisors (its aliquot sum) s(n): 228210680
- 138875200 is an abundant number, because the sum of its proper divisors (228210680) is greater than itself. Its abundance is 89335480
Bases of 138875200
- Binary: 10000100011100010001010000002
- Hexadecimal: 0x8471140
- Base-36: 2AOKSG
Squares and roots of 138875200
- 138875200 squared (1388752002) is 19286321175040000
- 138875200 cubed (1388752003) is 2678391710447915008000000
-
The
square root of 138875200 is 11784.5322350953 -
The
cube root of 138875200 is 517.8550699423
Scales and comparisons
How big is 138875200?- 138,875,200 seconds is equal to 4 years, 21 weeks, 4 days, 8 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,875,200 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 138875200 cubic inches would be around 43.2 feet tall.
Recreational maths with 138875200
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