135319680
135,319,680 is an even composite number composed of five prime numbers multiplied together.
135319680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135319680:
27 × 33 × 5 × 41 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 41 × 191)See below for interesting mathematical facts about the number 135319680 from the Numbermatics database.
Names of 135319680
- Cardinal: 135319680 can be written as One hundred thirty-five million, three hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3531968 × 108
Factors of 135319680
Divisors of 135319680
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 80 82 90 96 108 120 123 128 135 144 160 164 180 191 192 205 216 240 246 270 288 320 328 360 369 382 384 410 432 480 492 540 573 576 615 640 656 720 738 764 820 864 955 960 984 1080 1107 1146 1152 1230 1312 1440 1476 1528 1640 1719 1728 1845 1910 1920 1968 2160 2214 2292 2460 2624 2865 2880 2952 3056 3280 3438 3456 3690 3820 3936 4320 4428 4584 4920 5157 5248 5535 5730 5760 5904 6112 6560 6876 7380 7640 7831 7872 8595 8640 8856 9168 9840 10314 11070 11460 11808 12224 13120 13752 14760 15280 15662 15744 17190 17280 17712 18336 19680 20628 22140 22920 23493 23616 24448 25785 26240 27504 29520 30560 31324 34380 35424 36672 39155 39360 41256 44280 45840 46986 47232 51570 55008 59040 61120 62648 68760 70479 70848 73344 78310 78720 82512 88560 91680 93972 103140 110016 117465 118080 122240 125296 137520 140958 141696 156620 165024 177120 183360 187944 206280 211437 220032 234930 236160 250592 275040 281916 313240 330048 352395 354240 366720 375888 412560 422874 469860 501184 550080 563832 626480 660096 704790 708480 751776 825120 845748 939720 1002368 1057185 1100160 1127664 1252960 1409580 1503552 1650240 1691496 1879440 2114370 2255328 2505920 2819160 3007104 3300480 3382992 3758880 4228740 4510656 5011840 5638320 6765984 7517760 8457480 9021312 11276640 13531968 15035520 16914960 22553280 27063936 33829920 45106560 67659840 135319680
- Sum of all divisors σ(n): 493516800
- Sum of proper divisors (its aliquot sum) s(n): 358197120
- 135319680 is an abundant number, because the sum of its proper divisors (358197120) is greater than itself. Its abundance is 222877440
Bases of 135319680
- Binary: 10000001000011010000100000002
- Hexadecimal: 0x810D080
- Base-36: 28KDC0
Squares and roots of 135319680
- 135319680 squared (1353196802) is 18311415795302400
- 135319680 cubed (1353196803) is 2477894925767266271232000
-
The
square root of 135319680 is 11632.6987410491 -
The
cube root of 135319680 is 513.3973871083
Scales and comparisons
How big is 135319680?- 135,319,680 seconds is equal to 4 years, 15 weeks, 5 days, 4 hours, 48 minutes.
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To count from 1 to 135,319,680 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 135319680 cubic inches would be around 42.8 feet tall.
Recreational maths with 135319680
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