138122880
138,122,880 is an even composite number composed of six prime numbers multiplied together.
138122880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138122880:
27 × 3 × 5 × 7 × 43 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 43 × 239)See below for interesting mathematical facts about the number 138122880 from the Numbermatics database.
Names of 138122880
- Cardinal: 138122880 can be written as One hundred thirty-eight million, one hundred twenty-two thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3812288 × 108
Factors of 138122880
Divisors of 138122880
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 43 48 56 60 64 70 80 84 86 96 105 112 120 128 129 140 160 168 172 192 210 215 224 239 240 258 280 301 320 336 344 384 420 430 448 478 480 516 560 602 640 645 672 688 717 840 860 896 903 956 960 1032 1120 1195 1204 1290 1344 1376 1434 1505 1673 1680 1720 1806 1912 1920 2064 2240 2390 2408 2580 2688 2752 2868 3010 3346 3360 3440 3585 3612 3824 4128 4480 4515 4780 4816 5019 5160 5504 5736 6020 6692 6720 6880 7170 7224 7648 8256 8365 9030 9560 9632 10038 10277 10320 11472 12040 13384 13440 13760 14340 14448 15296 16512 16730 18060 19120 19264 20076 20554 20640 22944 24080 25095 26768 27520 28680 28896 30592 30831 33460 36120 38240 38528 40152 41108 41280 45888 48160 50190 51385 53536 57360 57792 61662 66920 71939 72240 76480 80304 82216 82560 91776 96320 100380 102770 107072 114720 115584 123324 133840 143878 144480 152960 154155 160608 164432 192640 200760 205540 214144 215817 229440 246648 267680 287756 288960 308310 321216 328864 359695 401520 411080 431634 458880 493296 535360 575512 577920 616620 642432 657728 719390 803040 822160 863268 986592 1070720 1079085 1151024 1233240 1315456 1438780 1606080 1644320 1726536 1973184 2158170 2302048 2466480 2877560 3212160 3288640 3453072 3946368 4316340 4604096 4932960 5755120 6577280 6906144 8632680 9208192 9865920 11510240 13812288 17265360 19731840 23020480 27624576 34530720 46040960 69061440 138122880
- Sum of all divisors σ(n): 517017600
- Sum of proper divisors (its aliquot sum) s(n): 378894720
- 138122880 is an abundant number, because the sum of its proper divisors (378894720) is greater than itself. Its abundance is 240771840
Bases of 138122880
- Binary: 10000011101110010110100000002
- Hexadecimal: 0x83B9680
- Base-36: 2A8GAO
Squares and roots of 138122880
- 138122880 squared (1381228802) is 19077929979494400
- 138122880 cubed (1381228803) is 2635098633206107471872000
-
The
square root of 138122880 is 11752.5690808435 -
The
cube root of 138122880 is 516.9182615547
Scales and comparisons
How big is 138122880?- 138,122,880 seconds is equal to 4 years, 20 weeks, 2 days, 15 hours, 28 minutes.
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To count from 1 to 138,122,880 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 138122880 cubic inches would be around 43.1 feet tall.
Recreational maths with 138122880
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