138108432
138,108,432 is an even composite number composed of six prime numbers multiplied together.
138108432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138108432:
24 × 3 × 7 × 112 × 43 × 79
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 43 × 79)See below for interesting mathematical facts about the number 138108432 from the Numbermatics database.
Names of 138108432
- Cardinal: 138108432 can be written as One hundred thirty-eight million, one hundred eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38108432 × 108
Factors of 138108432
Divisors of 138108432
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 43 44 48 56 66 77 79 84 86 88 112 121 129 132 154 158 168 172 176 231 237 242 258 264 301 308 316 336 344 363 462 473 474 484 516 528 553 602 616 632 688 726 847 869 903 924 946 948 968 1032 1106 1204 1232 1264 1419 1452 1659 1694 1738 1806 1848 1892 1896 1936 2064 2212 2408 2541 2607 2838 2904 3311 3318 3388 3397 3476 3612 3696 3784 3792 4424 4816 5082 5203 5214 5676 5808 6083 6622 6636 6776 6794 6952 7224 7568 8848 9559 9933 10164 10191 10406 10428 11352 12166 13244 13272 13552 13588 13904 14448 15609 18249 19118 19866 20328 20382 20812 20856 22704 23779 24332 26488 26544 27176 28677 31218 36421 36498 37367 38236 39732 40656 40764 41624 41712 47558 48664 52976 54352 57354 62436 66913 71337 72842 72996 74734 76472 79464 81528 83248 95116 97328 109263 112101 114708 124872 133826 142674 145684 145992 149468 152944 158928 163056 190232 200739 218526 224202 229416 249744 261569 267652 285348 291368 291984 298936 380464 401478 411037 437052 448404 458832 523138 535304 570696 582736 597872 784707 802956 822074 874104 896808 1046276 1070608 1141392 1233111 1569414 1605912 1644148 1748208 1793616 2092552 2466222 2877259 3138828 3211824 3288296 4185104 4932444 5754518 6277656 6576592 8631777 9864888 11509036 12555312 17263554 19729776 23018072 34527108 46036144 69054216 138108432
- Sum of all divisors σ(n): 464414720
- Sum of proper divisors (its aliquot sum) s(n): 326306288
- 138108432 is an abundant number, because the sum of its proper divisors (326306288) is greater than itself. Its abundance is 188197856
Bases of 138108432
- Binary: 10000011101101011110000100002
- Hexadecimal: 0x83B5E10
- Base-36: 2A855C
Squares and roots of 138108432
- 138108432 squared (1381084322) is 19073938989498624
- 138108432 cubed (1381084323) is 2634271805903319426797568
-
The
square root of 138108432 is 11751.9543906535 -
The
cube root of 138108432 is 516.9002372771
Scales and comparisons
How big is 138108432?- 138,108,432 seconds is equal to 4 years, 20 weeks, 2 days, 11 hours, 27 minutes, 12 seconds.
-
To count from 1 to 138,108,432 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 138108432 cubic inches would be around 43.1 feet tall.
Recreational maths with 138108432
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