135948800
135,948,800 is an even composite number composed of five prime numbers multiplied together.
135948800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 135948800:
29 × 52 × 13 × 19 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 19 × 43)See below for interesting mathematical facts about the number 135948800 from the Numbermatics database.
Names of 135948800
- Cardinal: 135948800 can be written as One hundred thirty-five million, nine hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.359488 × 108
Factors of 135948800
Divisors of 135948800
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 43 50 52 64 65 76 80 86 95 100 104 128 130 152 160 172 190 200 208 215 247 256 260 304 320 325 344 380 400 416 430 475 494 512 520 559 608 640 650 688 760 800 817 832 860 950 988 1040 1075 1118 1216 1235 1280 1300 1376 1520 1600 1634 1664 1720 1900 1976 2080 2150 2236 2432 2470 2560 2600 2752 2795 3040 3200 3268 3328 3440 3800 3952 4085 4160 4300 4472 4864 4940 5200 5504 5590 6080 6175 6400 6536 6656 6880 7600 7904 8170 8320 8600 8944 9728 9880 10400 10621 11008 11180 12160 12350 12800 13072 13760 13975 15200 15808 16340 16640 17200 17888 19760 20425 20800 21242 22016 22360 24320 24700 26144 27520 27950 30400 31616 32680 33280 34400 35776 39520 40850 41600 42484 44720 48640 49400 52288 53105 55040 55900 60800 63232 65360 68800 71552 79040 81700 83200 84968 89440 98800 104576 106210 110080 111800 121600 126464 130720 137600 143104 158080 163400 166400 169936 178880 197600 209152 212420 223600 243200 261440 265525 275200 286208 316160 326800 339872 357760 395200 418304 424840 447200 522880 531050 550400 632320 653600 679744 715520 790400 849680 894400 1045760 1062100 1307200 1359488 1431040 1580800 1699360 1788800 2091520 2124200 2614400 2718976 3161600 3398720 3577600 4248400 5228800 5437952 6797440 7155200 8496800 10457600 13594880 16993600 27189760 33987200 67974400 135948800
- Sum of all divisors σ(n): 390704160
- Sum of proper divisors (its aliquot sum) s(n): 254755360
- 135948800 is an abundant number, because the sum of its proper divisors (254755360) is greater than itself. Its abundance is 118806560
Bases of 135948800
- Binary: 10000001101001101010000000002
- Hexadecimal: 0x81A6A00
- Base-36: 28XURK
Squares and roots of 135948800
- 135948800 squared (1359488002) is 18482076221440000
- 135948800 cubed (1359488003) is 2512616083813302272000000
-
The
square root of 135948800 is 11659.7084011567 -
The
cube root of 135948800 is 514.1917759055
Scales and comparisons
How big is 135948800?- 135,948,800 seconds is equal to 4 years, 16 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 135,948,800 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 135948800 cubic inches would be around 42.8 feet tall.
Recreational maths with 135948800
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