135268320
135,268,320 is an even composite number composed of six prime numbers multiplied together.
135268320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135268320:
25 × 3 × 5 × 112 × 17 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 17 × 137)See below for interesting mathematical facts about the number 135268320 from the Numbermatics database.
Names of 135268320
- Cardinal: 135268320 can be written as One hundred thirty-five million, two hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3526832 × 108
Factors of 135268320
Divisors of 135268320
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 66 68 80 85 88 96 102 110 120 121 132 136 137 160 165 170 176 187 204 220 240 242 255 264 272 274 330 340 352 363 374 408 411 440 480 484 510 528 544 548 561 605 660 680 685 726 748 816 822 880 935 968 1020 1056 1096 1122 1210 1320 1360 1370 1452 1496 1507 1632 1644 1760 1815 1870 1936 2040 2055 2057 2192 2244 2329 2420 2640 2720 2740 2805 2904 2992 3014 3288 3630 3740 3872 4080 4110 4114 4384 4488 4521 4658 4840 5280 5480 5610 5808 5984 6028 6171 6576 6987 7260 7480 7535 8160 8220 8228 8976 9042 9316 9680 10285 10960 11220 11616 11645 12056 12342 13152 13974 14520 14960 15070 16440 16456 16577 17952 18084 18632 19360 20570 21920 22440 22605 23290 24112 24684 25619 27948 29040 29920 30140 30855 32880 32912 33154 34935 36168 37264 41140 44880 45210 46580 48224 49368 49731 51238 55896 58080 60280 61710 65760 65824 66308 69870 72336 74528 76857 82280 82885 89760 90420 93160 98736 99462 102476 111792 120560 123420 128095 132616 139740 144672 153714 164560 165770 180840 186320 197472 198924 204952 223584 241120 246840 248655 256190 265232 279480 281809 307428 329120 331540 361680 372640 384285 397848 409904 493680 497310 512380 530464 558960 563618 614856 663080 723360 768570 795696 819808 845427 987360 994620 1024760 1117920 1127236 1229712 1326160 1409045 1537140 1591392 1690854 1989240 2049520 2254472 2459424 2652320 2818090 3074280 3381708 3978480 4099040 4227135 4508944 5636180 6148560 6763416 7956960 8454270 9017888 11272360 12297120 13526832 16908540 22544720 27053664 33817080 45089440 67634160 135268320
- Sum of all divisors σ(n): 499522464
- Sum of proper divisors (its aliquot sum) s(n): 364254144
- 135268320 is an abundant number, because the sum of its proper divisors (364254144) is greater than itself. Its abundance is 228985824
Bases of 135268320
- Binary: 10000001000000000111111000002
- Hexadecimal: 0x81007E0
- Base-36: 28J9PC
Squares and roots of 135268320
- 135268320 squared (1352683202) is 18297518395622400
- 135268320 cubed (1352683203) is 2475074573544937402368000
-
The
square root of 135268320 is 11630.4909612621 -
The
cube root of 135268320 is 513.3324263023
Scales and comparisons
How big is 135268320?- 135,268,320 seconds is equal to 4 years, 15 weeks, 4 days, 14 hours, 32 minutes.
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To count from 1 to 135,268,320 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 135268320 cubic inches would be around 42.8 feet tall.
Recreational maths with 135268320
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