135146496
135,146,496 is an even composite number composed of five prime numbers multiplied together.
135146496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 135146496:
210 × 3 × 29 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 37 × 41)See below for interesting mathematical facts about the number 135146496 from the Numbermatics database.
Names of 135146496
- Cardinal: 135146496 can be written as One hundred thirty-five million, one hundred forty-six thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.35146496 × 108
Factors of 135146496
Divisors of 135146496
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 37 41 48 58 64 74 82 87 96 111 116 123 128 148 164 174 192 222 232 246 256 296 328 348 384 444 464 492 512 592 656 696 768 888 928 984 1024 1073 1184 1189 1312 1392 1517 1536 1776 1856 1968 2146 2368 2378 2624 2784 3034 3072 3219 3552 3567 3712 3936 4292 4551 4736 4756 5248 5568 6068 6438 7104 7134 7424 7872 8584 9102 9472 9512 10496 11136 12136 12876 14208 14268 14848 15744 17168 18204 18944 19024 20992 22272 24272 25752 28416 28536 29696 31488 34336 36408 37888 38048 41984 43993 44544 48544 51504 56832 57072 62976 68672 72816 76096 87986 89088 97088 103008 113664 114144 125952 131979 137344 145632 152192 175972 194176 206016 228288 263958 274688 291264 304384 351944 388352 412032 456576 527916 549376 582528 608768 703888 776704 824064 913152 1055832 1098752 1165056 1217536 1407776 1553408 1648128 1826304 2111664 2330112 2815552 3296256 3652608 4223328 4660224 5631104 8446656 11262208 16893312 22524416 33786624 45048832 67573248 135146496
- Sum of all divisors σ(n): 392041440
- Sum of proper divisors (its aliquot sum) s(n): 256894944
- 135146496 is an abundant number, because the sum of its proper divisors (256894944) is greater than itself. Its abundance is 121748448
Bases of 135146496
- Binary: 10000000111000101100000000002
- Hexadecimal: 0x80E2C00
- Base-36: 28GNPC
Squares and roots of 135146496
- 135146496 squared (1351464962) is 18264575381078016
- 135146496 cubed (1351464963) is 2468393363680558565031936
-
The
square root of 135146496 is 11625.2525133867 -
The
cube root of 135146496 is 513.1782759133
Scales and comparisons
How big is 135146496?- 135,146,496 seconds is equal to 4 years, 15 weeks, 3 days, 4 hours, 41 minutes, 36 seconds.
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To count from 1 to 135,146,496 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 135146496 cubic inches would be around 42.8 feet tall.
Recreational maths with 135146496
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