135398400
135,398,400 is an even composite number composed of five prime numbers multiplied together.
135398400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 135398400:
210 × 3 × 52 × 41 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 41 × 43)See below for interesting mathematical facts about the number 135398400 from the Numbermatics database.
Names of 135398400
- Cardinal: 135398400 can be written as One hundred thirty-five million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.353984 × 108
Factors of 135398400
Divisors of 135398400
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 43 48 50 60 64 75 80 82 86 96 100 120 123 128 129 150 160 164 172 192 200 205 215 240 246 256 258 300 320 328 344 384 400 410 430 480 492 512 516 600 615 640 645 656 688 768 800 820 860 960 984 1024 1025 1032 1075 1200 1230 1280 1290 1312 1376 1536 1600 1640 1720 1763 1920 1968 2050 2064 2150 2400 2460 2560 2580 2624 2752 3072 3075 3200 3225 3280 3440 3526 3840 3936 4100 4128 4300 4800 4920 5120 5160 5248 5289 5504 6150 6400 6450 6560 6880 7052 7680 7872 8200 8256 8600 8815 9600 9840 10320 10496 10578 11008 12300 12800 12900 13120 13760 14104 15360 15744 16400 16512 17200 17630 19200 19680 20640 20992 21156 22016 24600 25600 25800 26240 26445 27520 28208 31488 32800 33024 34400 35260 38400 39360 41280 41984 42312 44032 44075 49200 51600 52480 52890 55040 56416 62976 65600 66048 68800 70520 76800 78720 82560 84624 88150 98400 103200 104960 105780 110080 112832 125952 131200 132096 132225 137600 141040 157440 165120 169248 176300 196800 206400 209920 211560 220160 225664 262400 264450 275200 282080 314880 330240 338496 352600 393600 412800 423120 451328 524800 528900 550400 564160 629760 660480 676992 705200 787200 825600 846240 902656 1049600 1057800 1100800 1128320 1353984 1410400 1574400 1651200 1692480 1805312 2115600 2256640 2707968 2820800 3148800 3302400 3384960 4231200 4513280 5415936 5641600 6769920 8462400 9026560 11283200 13539840 16924800 22566400 27079680 33849600 45132800 67699200 135398400
- Sum of all divisors σ(n): 469074144
- Sum of proper divisors (its aliquot sum) s(n): 333675744
- 135398400 is an abundant number, because the sum of its proper divisors (333675744) is greater than itself. Its abundance is 198277344
Bases of 135398400
- Binary: 10000001001000000100000000002
- Hexadecimal: 0x8120400
- Base-36: 28M22O
Squares and roots of 135398400
- 135398400 squared (1353984002) is 18332726722560000
- 135398400 cubed (1353984003) is 2482221865871867904000000
-
The
square root of 135398400 is 11636.0818147691 -
The
cube root of 135398400 is 513.4969213077
Scales and comparisons
How big is 135398400?- 135,398,400 seconds is equal to 4 years, 15 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 135,398,400 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 135398400 cubic inches would be around 42.8 feet tall.
Recreational maths with 135398400
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