135638400
135,638,400 is an even composite number composed of five prime numbers multiplied together.
135638400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 135638400:
27 × 3 × 52 × 71 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 71 × 199)See below for interesting mathematical facts about the number 135638400 from the Numbermatics database.
Names of 135638400
- Cardinal: 135638400 can be written as One hundred thirty-five million, six hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.356384 × 108
Factors of 135638400
Divisors of 135638400
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 71 75 80 96 100 120 128 142 150 160 192 199 200 213 240 284 300 320 355 384 398 400 426 480 568 597 600 640 710 796 800 852 960 995 1065 1136 1194 1200 1420 1592 1600 1704 1775 1920 1990 2130 2272 2388 2400 2840 2985 3184 3200 3408 3550 3980 4260 4544 4776 4800 4975 5325 5680 5970 6368 6816 7100 7960 8520 9088 9552 9600 9950 10650 11360 11940 12736 13632 14129 14200 14925 15920 17040 19104 19900 21300 22720 23880 25472 27264 28258 28400 29850 31840 34080 38208 39800 42387 42600 45440 47760 56516 56800 59700 63680 68160 70645 76416 79600 84774 85200 95520 113032 113600 119400 127360 136320 141290 159200 169548 170400 191040 211935 226064 227200 238800 282580 318400 339096 340800 353225 382080 423870 452128 477600 565160 636800 678192 681600 706450 847740 904256 955200 1059675 1130320 1356384 1412900 1695480 1808512 1910400 2119350 2260640 2712768 2825800 3390960 4238700 4521280 5425536 5651600 6781920 8477400 9042560 11303200 13563840 16954800 22606400 27127680 33909600 45212800 67819200 135638400
- Sum of all divisors σ(n): 455328000
- Sum of proper divisors (its aliquot sum) s(n): 319689600
- 135638400 is an abundant number, because the sum of its proper divisors (319689600) is greater than itself. Its abundance is 184051200
Bases of 135638400
- Binary: 10000001010110101101100000002
- Hexadecimal: 0x815AD80
- Base-36: 28R79C
Squares and roots of 135638400
- 135638400 squared (1356384002) is 18397775554560000
- 135638400 cubed (1356384003) is 2495444839779631104000000
-
The
square root of 135638400 is 11646.3899986217 -
The
cube root of 135638400 is 513.8001413283
Scales and comparisons
How big is 135638400?- 135,638,400 seconds is equal to 4 years, 16 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 135,638,400 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 135638400 cubic inches would be around 42.8 feet tall.
Recreational maths with 135638400
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