131146400
131,146,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 131146400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
131146400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131146400:
25 × 52 × 7 × 11 × 2129
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 2129)See below for interesting mathematical facts about the number 131146400 from the Numbermatics database.
Names of 131146400
- Cardinal: 131146400 can be written as One hundred thirty-one million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.311464 × 108
Factors of 131146400
Divisors of 131146400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 160 175 176 200 220 224 275 280 308 350 352 385 400 440 550 560 616 700 770 800 880 1100 1120 1232 1400 1540 1760 1925 2129 2200 2464 2800 3080 3850 4258 4400 5600 6160 7700 8516 8800 10645 12320 14903 15400 17032 21290 23419 29806 30800 34064 42580 46838 53225 59612 61600 68128 74515 85160 93676 106450 117095 119224 149030 163933 170320 187352 212900 234190 238448 298060 327866 340640 372575 374704 425800 468380 476896 585475 596120 655732 745150 749408 819665 851600 936760 1170950 1192240 1311464 1490300 1639330 1703200 1873520 2341900 2384480 2622928 2980600 3278660 3747040 4098325 4683800 5245856 5961200 6557320 8196650 9367600 11922400 13114640 16393300 18735200 26229280 32786600 65573200 131146400
- Sum of all divisors σ(n): 399349440
- Sum of proper divisors (its aliquot sum) s(n): 268203040
- 131146400 is an abundant number, because the sum of its proper divisors (268203040) is greater than itself. Its abundance is 137056640
Bases of 131146400
- Binary: 1111101000100100010101000002
- Hexadecimal: 0x7D122A0
- Base-36: 262X7K
Squares and roots of 131146400
- 131146400 squared (1311464002) is 17199378232960000
- 131146400 cubed (1311464003) is 2255636537491065344000000
-
The
square root of 131146400 is 11451.9168701139 -
The
cube root of 131146400 is 508.0644306233
Scales and comparisons
How big is 131146400?- 131,146,400 seconds is equal to 4 years, 8 weeks, 5 days, 21 hours, 33 minutes, 20 seconds.
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To count from 1 to 131,146,400 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 131146400 cubic inches would be around 42.3 feet tall.
Recreational maths with 131146400
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