131632128
131,632,128 is an even composite number composed of three prime numbers multiplied together.
131632128 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred ninety-eight divisors.
Prime factorization of 131632128:
210 × 35 × 232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 23 × 23)See below for interesting mathematical facts about the number 131632128 from the Numbermatics database.
Names of 131632128
- Cardinal: 131632128 can be written as One hundred thirty-one million, six hundred thirty-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31632128 × 108
Factors of 131632128
Divisors of 131632128
- Number of divisors d(n): 198
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 243 256 276 288 324 368 384 414 432 486 512 529 552 576 621 648 736 768 828 864 972 1024 1058 1104 1152 1242 1296 1472 1536 1587 1656 1728 1863 1944 2116 2208 2304 2484 2592 2944 3072 3174 3312 3456 3726 3888 4232 4416 4608 4761 4968 5184 5589 5888 6348 6624 6912 7452 7776 8464 8832 9216 9522 9936 10368 11178 11776 12696 13248 13824 14283 14904 15552 16928 17664 19044 19872 20736 22356 23552 25392 26496 27648 28566 29808 31104 33856 35328 38088 39744 41472 42849 44712 50784 52992 57132 59616 62208 67712 70656 76176 79488 82944 85698 89424 101568 105984 114264 119232 124416 128547 135424 152352 158976 171396 178848 203136 211968 228528 238464 248832 257094 270848 304704 317952 342792 357696 406272 457056 476928 514188 541696 609408 635904 685584 715392 812544 914112 953856 1028376 1218816 1371168 1430784 1625088 1828224 1907712 2056752 2437632 2742336 2861568 3656448 4113504 4875264 5484672 5723136 7312896 8227008 10969344 14625792 16454016 21938688 32908032 43877376 65816064 131632128
- Sum of all divisors σ(n): 412044724
- Sum of proper divisors (its aliquot sum) s(n): 280412596
- 131632128 is an abundant number, because the sum of its proper divisors (280412596) is greater than itself. Its abundance is 148780468
Bases of 131632128
- Binary: 1111101100010001100000000002
- Hexadecimal: 0x7D88C00
- Base-36: 26DC00
Squares and roots of 131632128
- 131632128 squared (1316321282) is 17327017121808384
- 131632128 cubed (1316321283) is 2280792135636072794161152
-
The
square root of 131632128 is 11473.1045493363 -
The
cube root of 131632128 is 508.6908986437
Scales and comparisons
How big is 131632128?- 131,632,128 seconds is equal to 4 years, 9 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 131,632,128 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 131632128 cubic inches would be around 42.4 feet tall.
Recreational maths with 131632128
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