137392200
137,392,200 is an even composite number composed of five prime numbers multiplied together.
137392200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137392200:
23 × 35 × 52 × 11 × 257
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 257)See below for interesting mathematical facts about the number 137392200 from the Numbermatics database.
Names of 137392200
- Cardinal: 137392200 can be written as One hundred thirty-seven million, three hundred ninety-two thousand, two hundred.
Scientific notation
- Scientific notation: 1.373922 × 108
Factors of 137392200
Divisors of 137392200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 27 30 33 36 40 44 45 50 54 55 60 66 72 75 81 88 90 99 100 108 110 120 132 135 150 162 165 180 198 200 216 220 225 243 257 264 270 275 297 300 324 330 360 396 405 440 450 486 495 514 540 550 594 600 648 660 675 771 792 810 825 891 900 972 990 1028 1080 1100 1188 1215 1285 1320 1350 1485 1542 1620 1650 1782 1800 1944 1980 2025 2056 2200 2313 2376 2430 2475 2570 2673 2700 2827 2970 3084 3240 3300 3564 3855 3960 4050 4455 4626 4860 4950 5140 5346 5400 5654 5940 6075 6168 6425 6600 6939 7128 7425 7710 8100 8481 8910 9252 9720 9900 10280 10692 11308 11565 11880 12150 12850 13365 13878 14135 14850 15420 16200 16962 17820 18504 19275 19800 20817 21384 22275 22616 23130 24300 25443 25700 26730 27756 28270 29700 30840 33924 34695 35640 38550 41634 42405 44550 46260 48600 50886 51400 53460 55512 56540 57825 59400 62451 66825 67848 69390 70675 76329 77100 83268 84810 89100 92520 101772 104085 106920 113080 115650 124902 127215 133650 138780 141350 152658 154200 166536 169620 173475 178200 203544 208170 212025 228987 231300 249804 254430 267300 277560 282700 305316 312255 339240 346950 381645 416340 424050 457974 462600 499608 508860 520425 534600 565400 610632 624510 636075 686961 693900 763290 832680 848100 915948 1017720 1040850 1144935 1249020 1272150 1373922 1387800 1526580 1561275 1696200 1831896 1908225 2081700 2289870 2498040 2544300 2747844 3053160 3122550 3434805 3816450 4163400 4579740 5088600 5495688 5724675 6245100 6869610 7632900 9159480 11449350 12490200 13739220 15265800 17174025 22898700 27478440 34348050 45797400 68696100 137392200
- Sum of all divisors σ(n): 524028960
- Sum of proper divisors (its aliquot sum) s(n): 386636760
- 137392200 is an abundant number, because the sum of its proper divisors (386636760) is greater than itself. Its abundance is 249244560
Bases of 137392200
- Binary: 10000011000001110000010010002
- Hexadecimal: 0x8307048
- Base-36: 29SSI0
Squares and roots of 137392200
- 137392200 squared (1373922002) is 18876616620840000
- 137392200 cubed (1373922003) is 2593499886093773448000000
-
The
square root of 137392200 is 11721.4418908255 -
The
cube root of 137392200 is 516.0051378613
Scales and comparisons
How big is 137392200?- 137,392,200 seconds is equal to 4 years, 19 weeks, 1 day, 4 hours, 30 minutes.
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To count from 1 to 137,392,200 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 137392200 cubic inches would be around 43 feet tall.
Recreational maths with 137392200
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