131083128
131,083,128 is an even composite number composed of six prime numbers multiplied together.
131083128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 131083128:
23 × 32 × 11 × 19 × 31 × 281
(2 × 2 × 2 × 3 × 3 × 11 × 19 × 31 × 281)See below for interesting mathematical facts about the number 131083128 from the Numbermatics database.
Names of 131083128
- Cardinal: 131083128 can be written as One hundred thirty-one million, eighty-three thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31083128 × 108
Factors of 131083128
Divisors of 131083128
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 19 22 24 31 33 36 38 44 57 62 66 72 76 88 93 99 114 124 132 152 171 186 198 209 228 248 264 279 281 341 342 372 396 418 456 558 562 589 627 682 684 744 792 836 843 1023 1116 1124 1178 1254 1364 1368 1672 1686 1767 1881 2046 2232 2248 2356 2508 2529 2728 3069 3091 3372 3534 3762 4092 4712 5016 5058 5301 5339 6138 6182 6479 6744 7068 7524 8184 8711 9273 10116 10602 10678 12276 12364 12958 14136 15048 16017 17422 18546 19437 20232 21204 21356 24552 24728 25916 26133 27819 32034 34844 37092 38874 42408 42712 48051 51832 52266 55638 58311 58729 64068 69688 74184 77748 78399 95821 96102 104532 111276 116622 117458 128136 155496 156798 165509 176187 191642 192204 209064 222552 233244 234916 287463 313596 331018 352374 383284 384408 466488 469832 496527 528561 574926 627192 662036 704748 766568 862389 993054 1057122 1149852 1324072 1409496 1489581 1724778 1820599 1986108 2114244 2299704 2979162 3449556 3641198 3972216 4228488 5461797 5958324 6899112 7282396 10923594 11916648 14564792 16385391 21847188 32770782 43694376 65541564 131083128
- Sum of all divisors σ(n): 422323200
- Sum of proper divisors (its aliquot sum) s(n): 291240072
- 131083128 is an abundant number, because the sum of its proper divisors (291240072) is greater than itself. Its abundance is 160156944
Bases of 131083128
- Binary: 1111101000000101011011110002
- Hexadecimal: 0x7D02B78
- Base-36: 261KE0
Squares and roots of 131083128
- 131083128 squared (1310831282) is 17182786446264384
- 131083128 cubed (1310831283) is 2252373395132339369713152
-
The
square root of 131083128 is 11449.1540298837 -
The
cube root of 131083128 is 507.9827117105
Scales and comparisons
How big is 131083128?- 131,083,128 seconds is equal to 4 years, 8 weeks, 5 days, 3 hours, 58 minutes, 48 seconds.
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To count from 1 to 131,083,128 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 131083128 cubic inches would be around 42.3 feet tall.
Recreational maths with 131083128
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