135117840
135,117,840 is an even composite number composed of seven prime numbers multiplied together.
135117840 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 135117840:
24 × 3 × 5 × 11 × 13 × 31 × 127
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 31 × 127)See below for interesting mathematical facts about the number 135117840 from the Numbermatics database.
Names of 135117840
- Cardinal: 135117840 can be written as One hundred thirty-five million, one hundred seventeen thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3511784 × 108
Factors of 135117840
Divisors of 135117840
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 31 33 39 40 44 48 52 55 60 62 65 66 78 80 88 93 104 110 120 124 127 130 132 143 155 156 165 176 186 195 208 220 240 248 254 260 264 286 310 312 330 341 372 381 390 403 429 440 465 496 508 520 528 572 620 624 635 660 682 715 744 762 780 806 858 880 930 1016 1023 1040 1144 1209 1240 1270 1320 1364 1397 1430 1488 1524 1560 1612 1651 1705 1716 1860 1905 2015 2032 2046 2145 2288 2418 2480 2540 2640 2728 2794 2860 3048 3120 3224 3302 3410 3432 3720 3810 3937 4030 4092 4191 4290 4433 4836 4953 5080 5115 5456 5588 5720 6045 6096 6448 6604 6820 6864 6985 7440 7620 7874 8060 8184 8255 8382 8580 8866 9672 9906 10160 10230 11176 11440 11811 12090 13208 13299 13640 13970 15240 15748 16120 16368 16510 16764 17160 17732 18161 19344 19685 19812 20460 20955 22165 22352 23622 24180 24765 26416 26598 27280 27940 30480 31496 32240 33020 33528 34320 35464 36322 39370 39624 40920 41910 43307 44330 47244 48360 49530 51181 53196 54483 55880 59055 62992 66040 66495 67056 70928 72644 78740 79248 81840 83820 86614 88660 90805 94488 96720 99060 102362 106392 108966 111760 118110 129921 132080 132990 145288 153543 157480 167640 173228 177320 181610 188976 198120 204724 212784 216535 217932 236220 255905 259842 265980 272415 290576 307086 314960 335280 346456 354640 363220 396240 409448 433070 435864 472440 511810 519684 531960 544830 562991 614172 649605 692912 726440 767715 818896 866140 871728 944880 1023620 1039368 1063920 1089660 1125982 1228344 1299210 1452880 1535430 1688973 1732280 2047240 2078736 2179320 2251964 2456688 2598420 2814955 3070860 3377946 3464560 4094480 4358640 4503928 5196840 5629910 6141720 6755892 8444865 9007856 10393680 11259820 12283440 13511784 16889730 22519640 27023568 33779460 45039280 67558920 135117840
- Sum of all divisors σ(n): 511967232
- Sum of proper divisors (its aliquot sum) s(n): 376849392
- 135117840 is an abundant number, because the sum of its proper divisors (376849392) is greater than itself. Its abundance is 241731552
Bases of 135117840
- Binary: 10000000110110111100000100002
- Hexadecimal: 0x80DBC10
- Base-36: 28G1LC
Squares and roots of 135117840
- 135117840 squared (1351178402) is 18256830686265600
- 135117840 cubed (1351178403) is 2466823527573925538304000
-
The
square root of 135117840 is 11624.0199586889 -
The
cube root of 135117840 is 513.1420024947
Scales and comparisons
How big is 135117840?- 135,117,840 seconds is equal to 4 years, 15 weeks, 2 days, 20 hours, 44 minutes.
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To count from 1 to 135,117,840 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 135117840 cubic inches would be around 42.8 feet tall.
Recreational maths with 135117840
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