133138320
133,138,320 is an even composite number composed of seven prime numbers multiplied together.
133138320 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 133138320:
24 × 3 × 5 × 7 × 19 × 43 × 97
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 43 × 97)See below for interesting mathematical facts about the number 133138320 from the Numbermatics database.
Names of 133138320
- Cardinal: 133138320 can be written as One hundred thirty-three million, one hundred thirty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3313832 × 108
Factors of 133138320
Divisors of 133138320
- 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 43 48 56 57 60 70 76 80 84 86 95 97 105 112 114 120 129 133 140 152 168 172 190 194 210 215 228 240 258 266 280 285 291 301 304 336 344 380 388 399 420 430 456 485 516 532 560 570 582 602 645 665 679 688 760 776 798 817 840 860 903 912 970 1032 1064 1140 1164 1204 1290 1330 1358 1455 1505 1520 1552 1596 1634 1680 1720 1806 1843 1940 1995 2037 2064 2128 2280 2328 2408 2451 2580 2660 2716 2910 3010 3192 3268 3395 3440 3612 3686 3880 3990 4074 4085 4171 4515 4560 4656 4816 4902 5160 5320 5432 5529 5719 5820 6020 6384 6536 6790 7224 7372 7760 7980 8148 8170 8342 9030 9215 9804 10185 10320 10640 10864 11058 11438 11640 12040 12255 12513 12901 13072 13580 14448 14744 15960 16296 16340 16684 17157 18060 18430 19608 20370 20855 22116 22876 23280 24080 24510 25026 25802 27160 27645 28595 29197 29488 31920 32592 32680 33368 34314 36120 36860 38703 39216 40740 41710 44232 45752 49020 50052 51604 54320 55290 57190 58394 62565 64505 65360 66736 68628 72240 73720 77406 79249 81480 83420 85785 87591 88464 91504 98040 100104 103208 110580 114380 116788 125130 129010 137256 145985 147440 154812 158498 162960 166840 171570 175182 193515 196080 200208 206416 221160 228760 233576 237747 250260 258020 274512 291970 309624 316996 333680 343140 350364 387030 396245 437955 442320 457520 467152 475494 500520 516040 554743 583940 619248 633992 686280 700728 774060 792490 875910 950988 1001040 1032080 1109486 1167880 1188735 1267984 1372560 1401456 1548120 1584980 1664229 1751820 1901976 2218972 2335760 2377470 2773715 3096240 3169960 3328458 3503640 3803952 4437944 4754940 5547430 6339920 6656916 7007280 8321145 8875888 9509880 11094860 13313832 16642290 19019760 22189720 26627664 33284580 44379440 66569160 133138320
- Sum of all divisors σ(n): 513300480
- Sum of proper divisors (its aliquot sum) s(n): 380162160
- 133138320 is an abundant number, because the sum of its proper divisors (380162160) is greater than itself. Its abundance is 247023840
Bases of 133138320
- Binary: 1111110111110000111100100002
- Hexadecimal: 0x7EF8790
- Base-36: 279M6O
Squares and roots of 133138320
- 133138320 squared (1331383202) is 17725812252422400
- 133138320 cubed (1331383203) is 2359984863922934266368000
-
The
square root of 133138320 is 11538.5579688279 -
The
cube root of 133138320 is 510.6237658069
Scales and comparisons
How big is 133138320?- 133,138,320 seconds is equal to 4 years, 12 weeks, 22 hours, 52 minutes.
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To count from 1 to 133,138,320 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 133138320 cubic inches would be around 42.6 feet tall.
Recreational maths with 133138320
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