135326400
135,326,400 is an even composite number composed of five prime numbers multiplied together.
135326400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 135326400:
26 × 3 × 52 × 112 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 233)See below for interesting mathematical facts about the number 135326400 from the Numbermatics database.
Names of 135326400
- Cardinal: 135326400 can be written as One hundred thirty-five million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.353264 × 108
Factors of 135326400
Divisors of 135326400
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 132 150 160 165 176 192 200 220 233 240 242 264 275 300 320 330 352 363 400 440 466 480 484 528 550 600 605 660 699 704 726 800 825 880 932 960 968 1056 1100 1165 1200 1210 1320 1398 1452 1600 1650 1760 1815 1864 1936 2112 2200 2330 2400 2420 2563 2640 2796 2904 3025 3300 3495 3520 3630 3728 3872 4400 4660 4800 4840 5126 5280 5592 5808 5825 6050 6600 6990 7260 7456 7689 7744 8800 9075 9320 9680 10252 10560 11184 11616 11650 12100 12815 13200 13980 14520 14912 15378 17475 17600 18150 18640 19360 20504 22368 23232 23300 24200 25630 26400 27960 28193 29040 30756 34950 36300 37280 38445 38720 41008 44736 46600 48400 51260 52800 55920 56386 58080 61512 64075 69900 72600 74560 76890 82016 84579 93200 96800 102520 111840 112772 116160 123024 128150 139800 140965 145200 153780 164032 169158 186400 192225 193600 205040 223680 225544 246048 256300 279600 281930 290400 307560 338316 372800 384450 410080 422895 451088 492096 512600 559200 563860 580800 615120 676632 704825 768900 820160 845790 902176 1025200 1118400 1127720 1230240 1353264 1409650 1537800 1691580 1804352 2050400 2114475 2255440 2460480 2706528 2819300 3075600 3383160 4100800 4228950 4510880 5413056 5638600 6151200 6766320 8457900 9021760 11277200 12302400 13532640 16915800 22554400 27065280 33831600 45108800 67663200 135326400
- Sum of all divisors σ(n): 490109256
- Sum of proper divisors (its aliquot sum) s(n): 354782856
- 135326400 is an abundant number, because the sum of its proper divisors (354782856) is greater than itself. Its abundance is 219456456
Bases of 135326400
- Binary: 10000001000011101010110000002
- Hexadecimal: 0x810EAC0
- Base-36: 28KIIO
Squares and roots of 135326400
- 135326400 squared (1353264002) is 18313234536960000
- 135326400 cubed (1353264003) is 2478264102242463744000000
-
The
square root of 135326400 is 11632.9875784341 -
The
cube root of 135326400 is 513.4058854369
Scales and comparisons
How big is 135326400?- 135,326,400 seconds is equal to 4 years, 15 weeks, 5 days, 6 hours, 40 minutes.
-
To count from 1 to 135,326,400 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 135326400 cubic inches would be around 42.8 feet tall.
Recreational maths with 135326400
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