513042033920
513,042,033,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 513042033920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
513042033920 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 513042033920:
28 × 5 × 133 × 241 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 13 × 241 × 757)See below for interesting mathematical facts about the number 513042033920 from the Numbermatics database.
Names of 513042033920
- Cardinal: 513042033920 can be written as Five hundred thirteen billion, forty-two million, thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 5.1304203392 × 1011
Factors of 513042033920
Divisors of 513042033920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 169 208 241 256 260 320 338 416 482 520 640 676 757 832 845 964 1040 1205 1280 1352 1514 1664 1690 1928 2080 2197 2410 2704 3028 3133 3328 3380 3785 3856 4160 4394 4820 5408 6056 6266 6760 7570 7712 8320 8788 9640 9841 10816 10985 12112 12532 13520 15140 15424 15665 16640 17576 19280 19682 21632 21970 24224 25064 27040 30280 30848 31330 35152 38560 39364 40729 43264 43940 48448 49205 50128 54080 60560 61696 62660 70304 77120 78728 81458 87880 96896 98410 100256 108160 121120 125320 127933 140608 154240 157456 162916 175760 182437 193792 196820 200512 203645 216320 242240 250640 255866 281216 308480 314912 325832 351520 364874 393640 401024 407290 484480 501280 511732 529477 562432 629824 639665 651664 703040 729748 787280 802048 814580 912185 968960 1002560 1023464 1058954 1259648 1279330 1303328 1406080 1459496 1574560 1629160 1663129 1824370 2005120 2046928 2117908 2371681 2519296 2558660 2606656 2647385 2812160 2918992 3149120 3258320 3326258 3648740 4010240 4093856 4235816 4743362 5117320 5213312 5294770 5837984 6298240 6516640 6652516 7297480 8187712 8315645 8471632 9486724 10234640 10426624 10589540 11675968 11858405 12596480 13033280 13305032 14594960 16375424 16631290 16943264 18973448 20469280 21179080 23351936 23716810 26066560 26610064 29189920 30831853 32750848 33262580 33886528 37946896 40938560 42358160 46703872 47433620 52133120 53220128 58379840 61663706 66525160 67773056 75893792 81877120 84716320 94867240 106440256 116759680 123327412 133050320 135546112 151787584 154159265 163754240 169432640 189734480 212880512 233519360 246654824 266100640 303575168 308318530 338865280 379468960 400814089 425761024 493309648 532201280 607150336 616637060 677730560 758937920 801628178 986619296 1064402560 1233274120 1517875840 1603256356 1973238592 2004070445 2128805120 2466548240 3035751680 3206512712 3946477184 4008140890 4933096480 6413025424 7892954368 8016281780 9866192960 12826050848 16032563560 19732385920 25652101696 32065127120 39464771840 51304203392 64130254240 102608406784 128260508480 256521016960 513042033920
- Sum of all divisors σ(n): 1338547166880
- Sum of proper divisors (its aliquot sum) s(n): 825505132960
- 513042033920 is an abundant number, because the sum of its proper divisors (825505132960) is greater than itself. Its abundance is 312463099040
Bases of 513042033920
- Binary: 1110111011100111011000000101101000000002
- Hexadecimal: 0x7773B02D00
- Base-36: 6JORZAWW
Squares and roots of 513042033920
- 513042033920 squared (5130420339202) is 263212128568770430566400
- 513042033920 cubed (5130420339203) is 135038885793334520291339993612288000
-
The
square root of 513042033920 is 716269.5260305299 -
The
cube root of 513042033920 is 8005.4235822635
Scales and comparisons
How big is 513042033920?- 513,042,033,920 seconds is equal to 16,313 years, 7 weeks, 5 days, 12 hours, 5 minutes, 20 seconds.
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To count from 1 to 513,042,033,920 would take you about thirty-two thousand, six hundred twenty-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 513042033920 cubic inches would be around 667.1 feet tall.
Recreational maths with 513042033920
- 513042033920 backwards is 029330240315
- 513042033920 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 513042033920's digits is 32
- More coming soon!
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