131398400
131,398,400 is an even composite number composed of four prime numbers multiplied together.
131398400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 131398400:
28 × 52 × 72 × 419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 419)See below for interesting mathematical facts about the number 131398400 from the Numbermatics database.
Names of 131398400
- Cardinal: 131398400 can be written as One hundred thirty-one million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.313984 × 108
Factors of 131398400
Divisors of 131398400
- Number of divisors d(n): 162
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 350 392 400 419 448 490 560 640 700 784 800 838 896 980 1120 1225 1280 1400 1568 1600 1676 1792 1960 2095 2240 2450 2800 2933 3136 3200 3352 3920 4190 4480 4900 5600 5866 6272 6400 6704 7840 8380 8960 9800 10475 11200 11732 12544 13408 14665 15680 16760 19600 20531 20950 22400 23464 26816 29330 31360 33520 39200 41062 41900 44800 46928 53632 58660 62720 67040 73325 78400 82124 83800 93856 102655 107264 117320 134080 146650 156800 164248 167600 187712 205310 234640 268160 293300 313600 328496 335200 375424 410620 469280 513275 536320 586600 656992 670400 750848 821240 938560 1026550 1173200 1313984 1340800 1642480 1877120 2053100 2346400 2627968 2681600 3284960 3754240 4106200 4692800 5255936 6569920 8212400 9385600 13139840 16424800 18771200 26279680 32849600 65699200 131398400
- Sum of all divisors σ(n): 379233540
- Sum of proper divisors (its aliquot sum) s(n): 247835140
- 131398400 is an abundant number, because the sum of its proper divisors (247835140) is greater than itself. Its abundance is 116436740
Bases of 131398400
- Binary: 1111101010011111011000000002
- Hexadecimal: 0x7D4FB00
- Base-36: 268BNK
Squares and roots of 131398400
- 131398400 squared (1313984002) is 17265539522560000
- 131398400 cubed (1313984003) is 2268664268401147904000000
-
The
square root of 131398400 is 11462.9141146569 -
The
cube root of 131398400 is 508.3896405125
Scales and comparisons
How big is 131398400?- 131,398,400 seconds is equal to 4 years, 9 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 131,398,400 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 131398400 cubic inches would be around 42.4 feet tall.
Recreational maths with 131398400
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