135117180
135,117,180 is an even composite number composed of six prime numbers multiplied together.
135117180 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 135117180:
22 × 33 × 5 × 11 × 232 × 43
(2 × 2 × 3 × 3 × 3 × 5 × 11 × 23 × 23 × 43)See below for interesting mathematical facts about the number 135117180 from the Numbermatics database.
Names of 135117180
- Cardinal: 135117180 can be written as One hundred thirty-five million, one hundred seventeen thousand, one hundred eighty.
Scientific notation
- Scientific notation: 1.3511718 × 108
Factors of 135117180
Divisors of 135117180
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 23 27 30 33 36 43 44 45 46 54 55 60 66 69 86 90 92 99 108 110 115 129 132 135 138 165 172 180 198 207 215 220 230 253 258 270 276 297 330 345 387 396 414 430 460 473 495 506 516 529 540 594 621 645 660 690 759 774 828 860 946 989 990 1012 1035 1058 1161 1188 1242 1265 1290 1380 1419 1485 1518 1548 1587 1892 1935 1978 1980 2070 2116 2277 2322 2365 2484 2530 2580 2645 2838 2967 2970 3036 3105 3174 3795 3870 3956 4140 4257 4554 4644 4730 4761 4945 5060 5290 5676 5805 5819 5934 5940 6210 6348 6831 7095 7590 7740 7935 8514 8901 9108 9460 9522 9890 10580 10879 11385 11610 11638 11868 12420 12771 13662 14190 14283 14835 15180 15870 17028 17457 17802 19044 19780 21285 21758 22747 22770 23220 23276 23805 25542 26703 27324 28380 28566 29095 29670 31740 32637 34155 34914 35604 42570 43516 44505 45494 45540 47610 51084 52371 53406 54395 57132 58190 59340 63855 65274 68241 68310 69828 71415 85140 87285 89010 90988 95220 97911 104742 106812 108790 113735 116380 127710 130548 133515 136482 136620 142830 157113 163185 174570 178020 195822 204723 209484 217580 227470 250217 255420 261855 267030 272964 285660 293733 314226 326370 341205 349140 391644 409446 454940 489555 500434 523710 534060 587466 614169 628452 652740 682410 750651 785565 818892 979110 1000868 1023615 1047420 1174932 1228338 1251085 1364820 1468665 1501302 1571130 1958220 2047230 2251953 2456676 2502170 2937330 3002604 3070845 3142260 3753255 4094460 4503906 5004340 5874660 6141690 6755859 7506510 9007812 11259765 12283380 13511718 15013020 22519530 27023436 33779295 45039060 67558590 135117180
- Sum of all divisors σ(n): 490533120
- Sum of proper divisors (its aliquot sum) s(n): 355415940
- 135117180 is an abundant number, because the sum of its proper divisors (355415940) is greater than itself. Its abundance is 220298760
Bases of 135117180
- Binary: 10000000110110111001011111002
- Hexadecimal: 0x80DB97C
- Base-36: 28G130
Squares and roots of 135117180
- 135117180 squared (1351171802) is 18256652331152400
- 135117180 cubed (1351171803) is 2466787379225738438232000
-
The
square root of 135117180 is 11623.9915691641 -
The
cube root of 135117180 is 513.1411669913
Scales and comparisons
How big is 135117180?- 135,117,180 seconds is equal to 4 years, 15 weeks, 2 days, 20 hours, 33 minutes.
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To count from 1 to 135,117,180 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 135117180 cubic inches would be around 42.8 feet tall.
Recreational maths with 135117180
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