138314400
138,314,400 is an even composite number composed of five prime numbers multiplied together.
138314400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138314400:
25 × 3 × 52 × 7 × 8233
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 8233)See below for interesting mathematical facts about the number 138314400 from the Numbermatics database.
Names of 138314400
- Cardinal: 138314400 can be written as One hundred thirty-eight million, three hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.383144 × 108
Factors of 138314400
Divisors of 138314400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8233 8400 16466 16800 24699 32932 41165 49398 57631 65864 82330 98796 115262 123495 131728 164660 172893 197592 205825 230524 246990 263456 288155 329320 345786 395184 411650 461048 493980 576310 617475 658640 691572 790368 823300 864465 922096 987960 1152620 1234950 1317280 1383144 1440775 1646600 1728930 1844192 1975920 2305240 2469900 2766288 2881550 3293200 3457860 3951840 4322325 4610480 4939800 5532576 5763100 6586400 6915720 8644650 9220960 9879600 11526200 13831440 17289300 19759200 23052400 27662880 34578600 46104800 69157200 138314400
- Sum of all divisors σ(n): 514592064
- Sum of proper divisors (its aliquot sum) s(n): 376277664
- 138314400 is an abundant number, because the sum of its proper divisors (376277664) is greater than itself. Its abundance is 237963264
Bases of 138314400
- Binary: 10000011111010000010101000002
- Hexadecimal: 0x83E82A0
- Base-36: 2ACK2O
Squares and roots of 138314400
- 138314400 squared (1383144002) is 19130873247360000
- 138314400 cubed (1383144003) is 2646075254684649984000000
-
The
square root of 138314400 is 11760.7142640233 -
The
cube root of 138314400 is 517.1570693541
Scales and comparisons
How big is 138314400?- 138,314,400 seconds is equal to 4 years, 20 weeks, 4 days, 20 hours, 40 minutes.
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To count from 1 to 138,314,400 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 138314400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138314400
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