138400416
138,400,416 is an even composite number composed of five prime numbers multiplied together.
138400416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138400416:
25 × 32 × 7 × 11 × 792
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 79 × 79)See below for interesting mathematical facts about the number 138400416 from the Numbermatics database.
Names of 138400416
- Cardinal: 138400416 can be written as One hundred thirty-eight million, four hundred thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38400416 × 108
Factors of 138400416
Divisors of 138400416
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 79 84 88 96 99 112 126 132 144 154 158 168 176 198 224 231 237 252 264 288 308 316 336 352 396 462 474 504 528 553 616 632 672 693 711 792 869 924 948 1008 1056 1106 1232 1264 1386 1422 1584 1659 1738 1848 1896 2016 2212 2464 2528 2607 2772 2844 3168 3318 3476 3696 3792 4424 4977 5214 5544 5688 6083 6241 6636 6952 7392 7584 7821 8848 9954 10428 11088 11376 12166 12482 13272 13904 15642 17696 18249 18723 19908 20856 22176 22752 24332 24964 26544 27808 31284 36498 37446 39816 41712 43687 48664 49928 53088 54747 56169 62568 68651 72996 74892 79632 83424 87374 97328 99856 109494 112338 125136 131061 137302 145992 149784 159264 174748 194656 199712 205953 218988 224676 250272 262122 274604 291984 299568 349496 393183 411906 437976 449352 480557 524244 549208 583968 599136 617859 698992 786366 823812 875952 898704 961114 1048488 1098416 1235718 1397984 1441671 1572732 1647624 1751904 1797408 1922228 2096976 2196832 2471436 2883342 3145464 3295248 3844456 4193952 4325013 4942872 5766684 6290928 6590496 7688912 8650026 9885744 11533368 12581856 15377824 17300052 19771488 23066736 34600104 46133472 69200208 138400416
- Sum of all divisors σ(n): 496982304
- Sum of proper divisors (its aliquot sum) s(n): 358581888
- 138400416 is an abundant number, because the sum of its proper divisors (358581888) is greater than itself. Its abundance is 220181472
Bases of 138400416
- Binary: 10000011111111010010101000002
- Hexadecimal: 0x83FD2A0
- Base-36: 2AEEG0
Squares and roots of 138400416
- 138400416 squared (1384004162) is 19154675148973056
- 138400416 cubed (1384004163) is 2651015008962732923191296
-
The
square root of 138400416 is 11764.3706163993 -
The
cube root of 138400416 is 517.2642516487
Scales and comparisons
How big is 138400416?- 138,400,416 seconds is equal to 4 years, 20 weeks, 5 days, 20 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,400,416 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 138400416 cubic inches would be around 43.1 feet tall.
Recreational maths with 138400416
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The information we have on file for 138400416 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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