131216800
131,216,800 is an even composite number composed of six prime numbers multiplied together.
131216800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131216800:
25 × 52 × 11 × 13 × 31 × 37
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 31 × 37)See below for interesting mathematical facts about the number 131216800 from the Numbermatics database.
Names of 131216800
- Cardinal: 131216800 can be written as One hundred thirty-one million, two hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.312168 × 108
Factors of 131216800
Divisors of 131216800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 31 32 37 40 44 50 52 55 62 65 74 80 88 100 104 110 124 130 143 148 155 160 176 185 200 208 220 248 260 275 286 296 310 325 341 352 370 400 403 407 416 440 481 496 520 550 572 592 620 650 682 715 740 775 800 806 814 880 925 962 992 1040 1100 1144 1147 1184 1240 1300 1364 1430 1480 1550 1612 1628 1705 1760 1850 1924 2015 2035 2080 2200 2288 2294 2405 2480 2600 2728 2860 2960 3100 3224 3256 3410 3575 3700 3848 4030 4070 4400 4433 4576 4588 4810 4960 5200 5291 5456 5720 5735 5920 6200 6448 6512 6820 7150 7400 7696 8060 8140 8525 8800 8866 9176 9620 10075 10175 10400 10582 10912 11440 11470 12025 12400 12617 12896 13024 13640 14300 14800 14911 15392 16120 16280 17050 17732 18352 19240 20150 20350 21164 22165 22880 22940 24050 24800 25234 26455 27280 28600 28675 29600 29822 32240 32560 34100 35464 36704 38480 40300 40700 42328 44330 45880 48100 50468 52910 54560 57200 57350 59644 63085 64480 65120 68200 70928 74555 76960 80600 81400 84656 88660 91760 96200 100936 105820 110825 114400 114700 119288 126170 132275 136400 141856 149110 161200 162800 164021 169312 177320 183520 192400 201872 211640 221650 229400 238576 252340 264550 272800 298220 315425 322400 325600 328042 354640 372775 384800 403744 423280 443300 458800 477152 504680 529100 596440 630850 656084 709280 745550 820105 846560 886600 917600 1009360 1058200 1192880 1261700 1312168 1491100 1640210 1773200 2018720 2116400 2385760 2523400 2624336 2982200 3280420 3546400 4100525 4232800 5046800 5248672 5964400 6560840 8201050 10093600 11928800 13121680 16402100 26243360 32804200 65608400 131216800
- Sum of all divisors σ(n): 398974464
- Sum of proper divisors (its aliquot sum) s(n): 267757664
- 131216800 is an abundant number, because the sum of its proper divisors (267757664) is greater than itself. Its abundance is 136540864
Bases of 131216800
- Binary: 1111101001000110101101000002
- Hexadecimal: 0x7D235A0
- Base-36: 264FJ4
Squares and roots of 131216800
- 131216800 squared (1312168002) is 17217848602240000
- 131216800 cubed (1312168003) is 2259270996470405632000000
-
The
square root of 131216800 is 11454.9901789569 -
The
cube root of 131216800 is 508.1553248141
Scales and comparisons
How big is 131216800?- 131,216,800 seconds is equal to 4 years, 8 weeks, 6 days, 17 hours, 6 minutes, 40 seconds.
-
To count from 1 to 131,216,800 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 131216800 cubic inches would be around 42.3 feet tall.
Recreational maths with 131216800
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