130026400
130,026,400 is an even composite number composed of five prime numbers multiplied together.
130026400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 130026400:
25 × 52 × 72 × 31 × 107
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 31 × 107)See below for interesting mathematical facts about the number 130026400 from the Numbermatics database.
Names of 130026400
- Cardinal: 130026400 can be written as One hundred thirty million, twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.300264 × 108
Factors of 130026400
Divisors of 130026400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 70 80 98 100 107 112 124 140 155 160 175 196 200 214 217 224 245 248 280 310 350 392 400 428 434 490 496 535 560 620 700 749 775 784 800 856 868 980 992 1070 1085 1120 1225 1240 1400 1498 1519 1550 1568 1712 1736 1960 2140 2170 2450 2480 2675 2800 2996 3038 3100 3317 3424 3472 3745 3920 4280 4340 4900 4960 5243 5350 5425 5600 5992 6076 6200 6634 6944 7490 7595 7840 8560 8680 9800 10486 10700 10850 11984 12152 12400 13268 14980 15190 16585 17120 17360 18725 19600 20972 21400 21700 23219 23968 24304 24800 26215 26536 29960 30380 33170 34720 37450 37975 39200 41944 42800 43400 46438 48608 52430 53072 59920 60760 66340 74900 75950 82925 83888 85600 86800 92876 104860 106144 116095 119840 121520 131075 132680 149800 151900 162533 165850 167776 173600 185752 209720 232190 243040 262150 265360 299600 303800 325066 331700 371504 419440 464380 524300 530720 580475 599200 607600 650132 663400 743008 812665 838880 928760 1048600 1160950 1215200 1300264 1326800 1625330 1857520 2097200 2321900 2600528 2653600 3250660 3715040 4063325 4194400 4643800 5201056 6501320 8126650 9287600 13002640 16253300 18575200 26005280 32506600 65013200 130026400
- Sum of all divisors σ(n): 384725376
- Sum of proper divisors (its aliquot sum) s(n): 254698976
- 130026400 is an abundant number, because the sum of its proper divisors (254698976) is greater than itself. Its abundance is 124672576
Bases of 130026400
- Binary: 1111100000000001011101000002
- Hexadecimal: 0x7C00BA0
- Base-36: 25EX0G
Squares and roots of 130026400
- 130026400 squared (1300264002) is 16906864696960000
- 130026400 cubed (1300264003) is 2198338751832799744000000
-
The
square root of 130026400 is 11402.9119088065 -
The
cube root of 130026400 is 506.6139911381
Scales and comparisons
How big is 130026400?- 130,026,400 seconds is equal to 4 years, 6 weeks, 6 days, 22 hours, 26 minutes, 40 seconds.
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To count from 1 to 130,026,400 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 130026400 cubic inches would be around 42.2 feet tall.
Recreational maths with 130026400
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