10138400
10,138,400 is an even composite number composed of five prime numbers multiplied together.
10138400 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 10138400:
25 × 52 × 19 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 23 × 29)See below for interesting mathematical facts about the number 10138400 from the Numbermatics database.
Names of 10138400
- Cardinal: 10138400 can be written as Ten million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.01384 × 107
Factors of 10138400
Divisors of 10138400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 23 25 29 32 38 40 46 50 58 76 80 92 95 100 115 116 145 152 160 184 190 200 230 232 290 304 368 380 400 437 460 464 475 551 575 580 608 667 725 736 760 800 874 920 928 950 1102 1150 1160 1334 1450 1520 1748 1840 1900 2185 2204 2300 2320 2668 2755 2900 3040 3335 3496 3680 3800 4370 4408 4600 4640 5336 5510 5800 6670 6992 7600 8740 8816 9200 10672 10925 11020 11600 12673 13340 13775 13984 15200 16675 17480 17632 18400 21344 21850 22040 23200 25346 26680 27550 33350 34960 43700 44080 50692 53360 55100 63365 66700 69920 87400 88160 101384 106720 110200 126730 133400 174800 202768 220400 253460 266800 316825 349600 405536 440800 506920 533600 633650 1013840 1267300 2027680 2534600 5069200 10138400
- Sum of all divisors σ(n): 28123200
- Sum of proper divisors (its aliquot sum) s(n): 17984800
- 10138400 is an abundant number, because the sum of its proper divisors (17984800) is greater than itself. Its abundance is 7846400
Bases of 10138400
- Binary: 1001101010110011001000002
- Hexadecimal: 0x9AB320
- Base-36: 61AU8
Squares and roots of 10138400
- 10138400 squared (101384002) is 102787154560000
- 10138400 cubed (101384003) is 1042097287791104000000
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The
square root of 10138400 is 3184.0854259897 -
The
cube root of 10138400 is 216.4328312239
Scales and comparisons
How big is 10138400?- 10,138,400 seconds is equal to 16 weeks, 5 days, 8 hours, 13 minutes, 20 seconds.
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To count from 1 to 10,138,400 would take you about twenty-five weeks!
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 10138400 cubic inches would be around 18 feet tall.
Recreational maths with 10138400
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The information we have on file for 10138400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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