135808400
135,808,400 is an even composite number composed of five prime numbers multiplied together.
135808400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 135808400:
24 × 52 × 72 × 132 × 41
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 41)See below for interesting mathematical facts about the number 135808400 from the Numbermatics database.
Names of 135808400
- Cardinal: 135808400 can be written as One hundred thirty-five million, eight hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.358084 × 108
Factors of 135808400
Divisors of 135808400
- Number of divisors d(n): 270
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 41 49 50 52 56 65 70 80 82 91 98 100 104 112 130 140 164 169 175 182 196 200 205 208 245 260 280 287 325 328 338 350 364 392 400 410 455 490 520 533 560 574 637 650 656 676 700 728 784 820 845 910 980 1025 1040 1066 1148 1183 1225 1274 1300 1352 1400 1435 1456 1640 1690 1820 1960 2009 2050 2132 2275 2296 2366 2450 2548 2600 2665 2704 2800 2870 3185 3280 3380 3640 3731 3920 4018 4100 4225 4264 4550 4592 4732 4900 5096 5200 5330 5740 5915 6370 6760 6929 7175 7280 7462 8036 8200 8281 8450 8528 9100 9464 9800 10045 10192 10660 11480 11830 12740 13325 13520 13858 14350 14924 15925 16072 16400 16562 16900 18200 18655 18928 19600 20090 21320 22960 23660 25480 26117 26650 27716 28700 29575 29848 31850 32144 33124 33800 34645 36400 37310 40180 41405 42640 47320 48503 50225 50960 52234 53300 55432 57400 59150 59696 63700 66248 67600 69290 74620 80360 82810 93275 94640 97006 100450 104468 106600 110864 114800 118300 127400 130585 132496 138580 149240 160720 165620 173225 186550 194012 200900 207025 208936 213200 236600 242515 254800 261170 277160 298480 331240 339521 346450 373100 388024 401800 414050 417872 473200 485030 522340 554320 652925 662480 679042 692900 746200 776048 803600 828100 970060 1044680 1212575 1305850 1358084 1385800 1492400 1656200 1697605 1940120 2089360 2425150 2611700 2716168 2771600 3312400 3395210 3880240 4850300 5223400 5432336 6790420 8488025 9700600 10446800 13580840 16976050 19401200 27161680 33952100 67904200 135808400
- Sum of all divisors σ(n): 421016022
- Sum of proper divisors (its aliquot sum) s(n): 285207622
- 135808400 is an abundant number, because the sum of its proper divisors (285207622) is greater than itself. Its abundance is 149399222
Bases of 135808400
- Binary: 10000001100001000101100100002
- Hexadecimal: 0x8184590
- Base-36: 28UUFK
Squares and roots of 135808400
- 135808400 squared (1358084002) is 18443921510560000
- 135808400 cubed (1358084003) is 2504839470074736704000000
-
The
square root of 135808400 is 11653.6861121277 -
The
cube root of 135808400 is 514.0147058327
Scales and comparisons
How big is 135808400?- 135,808,400 seconds is equal to 4 years, 16 weeks, 3 days, 20 hours, 33 minutes, 20 seconds.
-
To count from 1 to 135,808,400 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 135808400 cubic inches would be around 42.8 feet tall.
Recreational maths with 135808400
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