514069920
514,069,920 is an even composite number composed of six prime numbers multiplied together.
514069920 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 514069920:
25 × 32 × 5 × 7 × 13 × 3923
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 3923)See below for interesting mathematical facts about the number 514069920 from the Numbermatics database.
Names of 514069920
- Cardinal: 514069920 can be written as Five hundred fourteen million, sixty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 5.1406992 × 108
Factors of 514069920
Divisors of 514069920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 130 140 144 156 160 168 180 182 195 208 210 224 234 240 252 260 273 280 288 312 315 336 360 364 390 416 420 455 468 480 504 520 546 560 585 624 630 672 720 728 780 819 840 910 936 1008 1040 1092 1120 1170 1248 1260 1365 1440 1456 1560 1638 1680 1820 1872 2016 2080 2184 2340 2520 2730 2912 3120 3276 3360 3640 3744 3923 4095 4368 4680 5040 5460 6240 6552 7280 7846 8190 8736 9360 10080 10920 11769 13104 14560 15692 16380 18720 19615 21840 23538 26208 27461 31384 32760 35307 39230 43680 47076 50999 54922 58845 62768 65520 70614 78460 82383 94152 101998 109844 117690 125536 131040 137305 141228 152997 156920 164766 176535 188304 203996 219688 235380 247149 254995 274610 282456 305994 313840 329532 353070 356993 376608 407992 411915 439376 458991 470760 494298 509990 549220 564912 611988 627680 659064 706140 713986 764985 815984 823830 878752 917982 941520 988596 1019980 1070979 1098440 1129824 1223976 1235745 1318128 1412280 1427972 1529970 1631968 1647660 1784965 1835964 1883040 1977192 2039960 2141958 2196880 2294955 2447952 2471490 2636256 2824560 2855944 3059940 3212937 3295320 3569930 3671928 3954384 4079920 4283916 4393760 4589910 4895904 4942980 5354895 5649120 5711888 6119880 6425874 6590640 7139860 7343856 7908768 8159840 8567832 9179820 9885960 10709790 11423776 12239760 12851748 13181280 14279720 14687712 16064685 17135664 18359640 19771920 21419580 24479520 25703496 28559440 32129370 34271328 36719280 39543840 42839160 51406992 57118880 64258740 73438560 85678320 102813984 128517480 171356640 257034960 514069920
- Sum of all divisors σ(n): 2159644032
- Sum of proper divisors (its aliquot sum) s(n): 1645574112
- 514069920 is an abundant number, because the sum of its proper divisors (1645574112) is greater than itself. Its abundance is 1131504192
Bases of 514069920
- Binary: 111101010010000010101101000002
- Hexadecimal: 0x1EA415A0
- Base-36: 8I2AW0
Squares and roots of 514069920
- 514069920 squared (5140699202) is 264267882648806400
- 514069920 cubed (5140699203) is 135852169291841294143488000
-
The
square root of 514069920 is 22673.1100645677 -
The
cube root of 514069920 is 801.0766337581
Scales and comparisons
How big is 514069920?- 514,069,920 seconds is equal to 16 years, 17 weeks, 6 days, 21 hours, 12 minutes.
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To count from 1 to 514,069,920 would take you about twenty-four 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 514069920 cubic inches would be around 66.8 feet tall.
Recreational maths with 514069920
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