135186040
135,186,040 is an even composite number composed of six prime numbers multiplied together.
135186040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 135186040:
23 × 5 × 112 × 17 × 31 × 53
(2 × 2 × 2 × 5 × 11 × 11 × 17 × 31 × 53)See below for interesting mathematical facts about the number 135186040 from the Numbermatics database.
Names of 135186040
- Cardinal: 135186040 can be written as One hundred thirty-five million, one hundred eighty-six thousand and forty.
Scientific notation
- Scientific notation: 1.3518604 × 108
Factors of 135186040
Divisors of 135186040
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 11 17 20 22 31 34 40 44 53 55 62 68 85 88 106 110 121 124 136 155 170 187 212 220 242 248 265 310 340 341 374 424 440 484 527 530 583 605 620 680 682 748 901 935 968 1054 1060 1166 1210 1240 1364 1496 1643 1705 1802 1870 2057 2108 2120 2332 2420 2635 2728 2915 3286 3410 3604 3740 3751 4114 4216 4505 4664 4840 5270 5797 5830 6413 6572 6820 7208 7480 7502 8215 8228 9010 9911 10285 10540 11594 11660 12826 13144 13640 15004 16430 16456 18020 18073 18755 19822 20570 21080 23188 23320 25652 27931 28985 30008 32065 32860 36040 36146 37510 39644 41140 46376 49555 51304 55862 57970 63767 64130 65720 72292 75020 79288 82280 90365 99110 109021 111724 115940 127534 128260 139655 144584 150040 180730 198220 198803 218042 223448 231880 255068 256520 279310 307241 318835 361460 396440 397606 436084 510136 545105 558620 614482 637670 722920 795212 872168 994015 1090210 1117240 1228964 1275340 1536205 1590424 1988030 2180420 2457928 2550680 3072410 3379651 3976060 4360840 6144820 6759302 7952120 12289640 13518604 16898255 27037208 33796510 67593020 135186040
- Sum of all divisors σ(n): 372314880
- Sum of proper divisors (its aliquot sum) s(n): 237128840
- 135186040 is an abundant number, because the sum of its proper divisors (237128840) is greater than itself. Its abundance is 101942800
Bases of 135186040
- Binary: 10000000111011000110011110002
- Hexadecimal: 0x80EC678
- Base-36: 28HI7S
Squares and roots of 135186040
- 135186040 squared (1351860402) is 18275265410881600
- 135186040 cubed (1351860403) is 2470560760846056412864000
-
The
square root of 135186040 is 11626.9531692529 -
The
cube root of 135186040 is 513.2283231909
Scales and comparisons
How big is 135186040?- 135,186,040 seconds is equal to 4 years, 15 weeks, 3 days, 15 hours, 40 minutes, 40 seconds.
-
To count from 1 to 135,186,040 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 135186040 cubic inches would be around 42.8 feet tall.
Recreational maths with 135186040
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