131146128
131,146,128 is an even composite number composed of four prime numbers multiplied together.
131146128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 131146128:
24 × 35 × 89 × 379
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 89 × 379)See below for interesting mathematical facts about the number 131146128 from the Numbermatics database.
Names of 131146128
- Cardinal: 131146128 can be written as One hundred thirty-one million, one hundred forty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31146128 × 108
Factors of 131146128
Divisors of 131146128
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 379 432 486 534 648 712 758 801 972 1068 1137 1296 1424 1516 1602 1944 2136 2274 2403 3032 3204 3411 3888 4272 4548 4806 6064 6408 6822 7209 9096 9612 10233 12816 13644 14418 18192 19224 20466 21627 27288 28836 30699 33731 38448 40932 43254 54576 57672 61398 67462 81864 86508 92097 101193 115344 122796 134924 163728 173016 184194 202386 245592 269848 303579 346032 368388 404772 491184 539696 607158 736776 809544 910737 1214316 1473552 1619088 1821474 2428632 2732211 3642948 4857264 5464422 7285896 8196633 10928844 14571792 16393266 21857688 32786532 43715376 65573064 131146128
- Sum of all divisors σ(n): 385912800
- Sum of proper divisors (its aliquot sum) s(n): 254766672
- 131146128 is an abundant number, because the sum of its proper divisors (254766672) is greater than itself. Its abundance is 123620544
Bases of 131146128
- Binary: 1111101000100100001100100002
- Hexadecimal: 0x7D12190
- Base-36: 262X00
Squares and roots of 131146128
- 131146128 squared (1311461282) is 17199306889392384
- 131146128 cubed (1311461283) is 2255622502827535434289152
-
The
square root of 131146128 is 11451.9049943667 -
The
cube root of 131146128 is 508.0640793781
Scales and comparisons
How big is 131146128?- 131,146,128 seconds is equal to 4 years, 8 weeks, 5 days, 21 hours, 28 minutes, 48 seconds.
-
To count from 1 to 131,146,128 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 131146128 cubic inches would be around 42.3 feet tall.
Recreational maths with 131146128
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