137920320
137,920,320 is an even composite number composed of five prime numbers multiplied together.
137920320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty divisors.
Prime factorization of 137920320:
26 × 34 × 5 × 17 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 17 × 313)See below for interesting mathematical facts about the number 137920320 from the Numbermatics database.
Names of 137920320
- Cardinal: 137920320 can be written as One hundred thirty-seven million, nine hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3792032 × 108
Factors of 137920320
Divisors of 137920320
- Number of divisors d(n): 280
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 192 204 216 240 255 270 272 288 306 313 320 324 340 360 405 408 432 459 480 510 540 544 576 612 626 648 680 720 765 810 816 864 918 939 960 1020 1080 1088 1224 1252 1296 1360 1377 1440 1530 1565 1620 1632 1728 1836 1878 2040 2160 2295 2448 2504 2592 2720 2754 2817 2880 3060 3130 3240 3264 3672 3756 4080 4320 4590 4695 4896 5008 5184 5321 5440 5508 5634 6120 6260 6480 6885 7344 7512 8160 8451 8640 9180 9390 9792 10016 10642 11016 11268 12240 12520 12960 13770 14085 14688 15024 15963 16320 16902 18360 18780 20032 21284 22032 22536 24480 25040 25353 25920 26605 27540 28170 29376 30048 31926 33804 36720 37560 42255 42568 44064 45072 47889 48960 50080 50706 53210 55080 56340 60096 63852 67608 73440 75120 79815 84510 85136 88128 90144 95778 100160 101412 106420 110160 112680 126765 127704 135216 143667 146880 150240 159630 169020 170272 180288 191556 202824 212840 220320 225360 239445 253530 255408 270432 287334 300480 319260 338040 340544 383112 405648 425680 431001 440640 450720 478890 507060 510816 540864 574668 638520 676080 718335 766224 811296 851360 862002 901440 957780 1014120 1021632 1149336 1277040 1352160 1436670 1532448 1622592 1702720 1724004 1915560 2028240 2155005 2298672 2554080 2704320 2873340 3064896 3448008 3831120 4056480 4310010 4597344 5108160 5746680 6896016 7662240 8112960 8620020 9194688 11493360 13792032 15324480 17240040 22986720 27584064 34480080 45973440 68960160 137920320
- Sum of all divisors σ(n): 521125704
- Sum of proper divisors (its aliquot sum) s(n): 383205384
- 137920320 is an abundant number, because the sum of its proper divisors (383205384) is greater than itself. Its abundance is 245285064
Bases of 137920320
- Binary: 10000011100001111111010000002
- Hexadecimal: 0x8387F40
- Base-36: 2A4400
Squares and roots of 137920320
- 137920320 squared (1379203202) is 19022014668902400
- 137920320 cubed (1379203203) is 2623522350179713056768000
-
The
square root of 137920320 is 11743.9482287685 -
The
cube root of 137920320 is 516.6654475633
Scales and comparisons
How big is 137920320?- 137,920,320 seconds is equal to 4 years, 20 weeks, 7 hours, 12 minutes.
-
To count from 1 to 137,920,320 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 137920320 cubic inches would be around 43.1 feet tall.
Recreational maths with 137920320
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