130968320
130,968,320 is an even composite number composed of five prime numbers multiplied together.
130968320 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 130968320:
28 × 5 × 7 × 47 × 311
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 47 × 311)See below for interesting mathematical facts about the number 130968320 from the Numbermatics database.
Names of 130968320
- Cardinal: 130968320 can be written as One hundred thirty million, nine hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3096832 × 108
Factors of 130968320
Divisors of 130968320
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 64 70 80 94 112 128 140 160 188 224 235 256 280 311 320 329 376 448 470 560 622 640 658 752 896 940 1120 1244 1280 1316 1504 1555 1645 1792 1880 2177 2240 2488 2632 3008 3110 3290 3760 4354 4480 4976 5264 6016 6220 6580 7520 8708 8960 9952 10528 10885 12032 12440 13160 14617 15040 17416 19904 21056 21770 24880 26320 29234 30080 34832 39808 42112 43540 49760 52640 58468 60160 69664 73085 79616 84224 87080 99520 102319 105280 116936 139328 146170 174160 199040 204638 210560 233872 278656 292340 348320 398080 409276 421120 467744 511595 557312 584680 696640 818552 935488 1023190 1169360 1393280 1637104 1870976 2046380 2338720 2786560 3274208 3741952 4092760 4677440 6548416 8185520 9354880 13096832 16371040 18709760 26193664 32742080 65484160 130968320
- Sum of all divisors σ(n): 367331328
- Sum of proper divisors (its aliquot sum) s(n): 236363008
- 130968320 is an abundant number, because the sum of its proper divisors (236363008) is greater than itself. Its abundance is 105394688
Bases of 130968320
- Binary: 1111100111001101011000000002
- Hexadecimal: 0x7CE6B00
- Base-36: 25Z3SW
Squares and roots of 130968320
- 130968320 squared (1309683202) is 17152700843622400
- 130968320 cubed (1309683203) is 2246460412951808442368000
-
The
square root of 130968320 is 11444.1391113529 -
The
cube root of 130968320 is 507.8343643351
Scales and comparisons
How big is 130968320?- 130,968,320 seconds is equal to 4 years, 8 weeks, 3 days, 20 hours, 5 minutes, 20 seconds.
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To count from 1 to 130,968,320 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 130968320 cubic inches would be around 42.3 feet tall.
Recreational maths with 130968320
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