137928960
137,928,960 is an even composite number composed of five prime numbers multiplied together.
137928960 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 137928960:
28 × 33 × 5 × 13 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 307)See below for interesting mathematical facts about the number 137928960 from the Numbermatics database.
Names of 137928960
- Cardinal: 137928960 can be written as One hundred thirty-seven million, nine hundred twenty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3792896 × 108
Factors of 137928960
Divisors of 137928960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 256 260 270 288 307 312 320 351 360 384 390 416 432 468 480 520 540 576 585 614 624 640 702 720 768 780 832 864 921 936 960 1040 1080 1152 1170 1228 1248 1280 1404 1440 1535 1560 1664 1728 1755 1842 1872 1920 2080 2160 2304 2340 2456 2496 2763 2808 2880 3070 3120 3328 3456 3510 3684 3744 3840 3991 4160 4320 4605 4680 4912 4992 5526 5616 5760 6140 6240 6912 7020 7368 7488 7982 8289 8320 8640 9210 9360 9824 9984 11052 11232 11520 11973 12280 12480 13815 14040 14736 14976 15964 16578 16640 17280 18420 18720 19648 19955 22104 22464 23946 24560 24960 27630 28080 29472 29952 31928 33156 34560 35919 36840 37440 39296 39910 41445 44208 44928 47892 49120 49920 55260 56160 58944 59865 63856 66312 71838 73680 74880 78592 79820 82890 88416 89856 95784 98240 107757 110520 112320 117888 119730 127712 132624 143676 147360 149760 159640 165780 176832 179595 191568 196480 215514 221040 224640 235776 239460 255424 265248 287352 294720 319280 331560 353664 359190 383136 392960 431028 442080 449280 478920 510848 530496 538785 574704 589440 638560 663120 707328 718380 766272 862056 884160 957840 1021696 1060992 1077570 1149408 1178880 1277120 1326240 1436760 1532544 1724112 1768320 1915680 2121984 2155140 2298816 2554240 2652480 2873520 3065088 3448224 3536640 3831360 4310280 4597632 5108480 5304960 5747040 6896448 7662720 8620560 9195264 10609920 11494080 13792896 15325440 17241120 22988160 27585792 34482240 45976320 68964480 137928960
- Sum of all divisors σ(n): 528823680
- Sum of proper divisors (its aliquot sum) s(n): 390894720
- 137928960 is an abundant number, because the sum of its proper divisors (390894720) is greater than itself. Its abundance is 252965760
Bases of 137928960
- Binary: 10000011100010100001000000002
- Hexadecimal: 0x838A100
- Base-36: 2A4AO0
Squares and roots of 137928960
- 137928960 squared (1379289602) is 19024398006681600
- 137928960 cubed (1379289603) is 2624015431687666139136000
-
The
square root of 137928960 is 11744.3160720409 -
The
cube root of 137928960 is 516.6762361507
Scales and comparisons
How big is 137928960?- 137,928,960 seconds is equal to 4 years, 20 weeks, 9 hours, 36 minutes.
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To count from 1 to 137,928,960 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 137928960 cubic inches would be around 43.1 feet tall.
Recreational maths with 137928960
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