138913600
138,913,600 is an even composite number composed of five prime numbers multiplied together.
138913600 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 138913600:
26 × 52 × 7 × 79 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 79 × 157)See below for interesting mathematical facts about the number 138913600 from the Numbermatics database.
Names of 138913600
- Cardinal: 138913600 can be written as One hundred thirty-eight million, nine hundred thirteen thousand, six hundred.
Scientific notation
- Scientific notation: 1.389136 × 108
Factors of 138913600
Divisors of 138913600
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 79 80 100 112 140 157 158 160 175 200 224 280 314 316 320 350 395 400 448 553 560 628 632 700 785 790 800 1099 1106 1120 1256 1264 1400 1570 1580 1600 1975 2198 2212 2240 2512 2528 2765 2800 3140 3160 3925 3950 4396 4424 5024 5056 5495 5530 5600 6280 6320 7850 7900 8792 8848 10048 10990 11060 11200 12403 12560 12640 13825 15700 15800 17584 17696 21980 22120 24806 25120 25280 27475 27650 31400 31600 35168 35392 43960 44240 49612 50240 54950 55300 62015 62800 63200 70336 86821 87920 88480 99224 109900 110600 124030 125600 126400 173642 175840 176960 198448 219800 221200 248060 251200 310075 347284 351680 396896 434105 439600 442400 496120 620150 694568 793792 868210 879200 884800 992240 1240300 1389136 1736420 1758400 1984480 2170525 2480600 2778272 3472840 3968960 4341050 4961200 5556544 6945680 8682100 9922400 13891360 17364200 19844800 27782720 34728400 69456800 138913600
- Sum of all divisors σ(n): 398109440
- Sum of proper divisors (its aliquot sum) s(n): 259195840
- 138913600 is an abundant number, because the sum of its proper divisors (259195840) is greater than itself. Its abundance is 120282240
Bases of 138913600
- Binary: 10000100011110100111010000002
- Hexadecimal: 0x847A740
- Base-36: 2APEF4
Squares and roots of 138913600
- 138913600 squared (1389136002) is 19296988264960000
- 138913600 cubed (1389136003) is 2680614109043347456000000
-
The
square root of 138913600 is 11786.1613768011 -
The
cube root of 138913600 is 517.9027957715
Scales and comparisons
How big is 138913600?- 138,913,600 seconds is equal to 4 years, 21 weeks, 4 days, 19 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,913,600 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 138913600 cubic inches would be around 43.2 feet tall.
Recreational maths with 138913600
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