138245520
138,245,520 is an even composite number composed of seven prime numbers multiplied together.
138245520 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138245520:
24 × 3 × 5 × 7 × 19 × 61 × 71
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 61 × 71)See below for interesting mathematical facts about the number 138245520 from the Numbermatics database.
Names of 138245520
- Cardinal: 138245520 can be written as One hundred thirty-eight million, two hundred forty-five thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3824552 × 108
Factors of 138245520
Divisors of 138245520
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 61 70 71 76 80 84 95 105 112 114 120 122 133 140 142 152 168 183 190 210 213 228 240 244 266 280 284 285 304 305 336 355 366 380 399 420 426 427 456 488 497 532 560 568 570 610 665 710 732 760 798 840 852 854 912 915 976 994 1064 1065 1136 1140 1159 1220 1281 1330 1349 1420 1464 1491 1520 1596 1680 1704 1708 1830 1988 1995 2128 2130 2135 2280 2318 2440 2485 2562 2660 2698 2840 2928 2982 3192 3408 3416 3477 3660 3976 3990 4047 4260 4270 4331 4560 4636 4880 4970 5124 5320 5396 5680 5795 5964 6384 6405 6745 6832 6954 7320 7455 7952 7980 8094 8113 8520 8540 8662 9272 9443 9940 10248 10640 10792 11590 11928 12810 12993 13490 13908 14640 14910 15960 16188 16226 17040 17080 17324 17385 18544 18886 19880 20235 20496 21584 21655 23180 23856 24339 25620 25986 26980 27816 28329 29820 30317 31920 32376 32452 34160 34648 34770 37772 39760 40470 40565 43310 46360 47215 48678 51240 51972 53960 55632 56658 59640 60634 64752 64904 64965 69296 69540 75544 80940 81130 82289 86620 90951 92720 94430 97356 102480 103944 107920 113316 119280 121268 121695 129808 129930 139080 141645 151088 151585 161880 162260 164578 173240 181902 188860 194712 207888 226632 242536 243390 246867 259860 278160 283290 303170 323760 324520 329156 346480 363804 377720 389424 411445 453264 454755 485072 486780 493734 519720 566580 576023 606340 649040 658312 727608 755440 822890 909510 973560 987468 1039440 1133160 1152046 1212680 1234335 1316624 1455216 1645780 1728069 1819020 1947120 1974936 2266320 2304092 2425360 2468670 2880115 3291560 3456138 3638040 3949872 4608184 4937340 5760230 6583120 6912276 7276080 8640345 9216368 9874680 11520460 13824552 17280690 19749360 23040920 27649104 34561380 46081840 69122760 138245520
- Sum of all divisors σ(n): 531394560
- Sum of proper divisors (its aliquot sum) s(n): 393149040
- 138245520 is an abundant number, because the sum of its proper divisors (393149040) is greater than itself. Its abundance is 254903520
Bases of 138245520
- Binary: 10000011110101110101100100002
- Hexadecimal: 0x83D7590
- Base-36: 2AB2XC
Squares and roots of 138245520
- 138245520 squared (1382455202) is 19111823800070400
- 138245520 cubed (1382455203) is 2642124019389108484608000
-
The
square root of 138245520 is 11757.7855057829 -
The
cube root of 138245520 is 517.0712077379
Scales and comparisons
How big is 138245520?- 138,245,520 seconds is equal to 4 years, 20 weeks, 4 days, 1 hour, 32 minutes.
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To count from 1 to 138,245,520 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 138245520 cubic inches would be around 43.1 feet tall.
Recreational maths with 138245520
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