130970400
130,970,400 is an even composite number composed of five prime numbers multiplied together.
130970400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130970400:
25 × 3 × 52 × 113 × 41
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 41)See below for interesting mathematical facts about the number 130970400 from the Numbermatics database.
Names of 130970400
- Cardinal: 130970400 can be written as One hundred thirty million, nine hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.309704 × 108
Factors of 130970400
Divisors of 130970400
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 41 44 48 50 55 60 66 75 80 82 88 96 100 110 120 121 123 132 150 160 164 165 176 200 205 220 240 242 246 264 275 300 328 330 352 363 400 410 440 451 480 484 492 528 550 600 605 615 656 660 726 800 820 825 880 902 968 984 1025 1056 1100 1200 1210 1230 1312 1320 1331 1353 1452 1640 1650 1760 1804 1815 1936 1968 2050 2200 2255 2400 2420 2460 2640 2662 2706 2904 3025 3075 3280 3300 3608 3630 3872 3936 3993 4100 4400 4510 4840 4920 4961 5280 5324 5412 5808 6050 6150 6560 6600 6655 6765 7216 7260 7986 8200 8800 9020 9075 9680 9840 9922 10648 10824 11275 11616 12100 12300 13200 13310 13530 14432 14520 14883 15972 16400 18040 18150 19360 19680 19844 19965 21296 21648 22550 24200 24600 24805 26400 26620 27060 29040 29766 31944 32800 33275 33825 36080 36300 39688 39930 42592 43296 45100 48400 49200 49610 53240 54120 54571 58080 59532 63888 66550 67650 72160 72600 74415 79376 79860 90200 96800 98400 99220 99825 106480 108240 109142 119064 124025 127776 133100 135300 145200 148830 158752 159720 163713 180400 198440 199650 212960 216480 218284 238128 248050 266200 270600 272855 290400 297660 319440 327426 360800 372075 396880 399300 436568 476256 496100 532400 541200 545710 595320 638880 654852 744150 793760 798600 818565 873136 992200 1064800 1082400 1091420 1190640 1309704 1364275 1488300 1597200 1637130 1746272 1984400 2182840 2381280 2619408 2728550 2976600 3194400 3274260 3968800 4092825 4365680 5238816 5457100 5953200 6548520 8185650 8731360 10914200 11906400 13097040 16371300 21828400 26194080 32742600 43656800 65485200 130970400
- Sum of all divisors σ(n): 480344256
- Sum of proper divisors (its aliquot sum) s(n): 349373856
- 130970400 is an abundant number, because the sum of its proper divisors (349373856) is greater than itself. Its abundance is 218403456
Bases of 130970400
- Binary: 1111100111001110011001000002
- Hexadecimal: 0x7CE7320
- Base-36: 25Z5EO
Squares and roots of 130970400
- 130970400 squared (1309704002) is 17153245676160000
- 130970400 cubed (1309704003) is 2246567447504945664000000
-
The
square root of 130970400 is 11444.2299872031 -
The
cube root of 130970400 is 507.8370527457
Scales and comparisons
How big is 130970400?- 130,970,400 seconds is equal to 4 years, 8 weeks, 3 days, 20 hours, 40 minutes.
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To count from 1 to 130,970,400 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 130970400 cubic inches would be around 42.3 feet tall.
Recreational maths with 130970400
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