230641516800
230,641,516,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 230641516800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
230641516800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 230641516800:
28 × 33 × 52 × 19 × 70249
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 70249)See below for interesting mathematical facts about the number 230641516800 from the Numbermatics database.
Names of 230641516800
- Cardinal: 230641516800 can be written as Two hundred thirty billion, six hundred forty-one million, five hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.306415168 × 1011
Factors of 230641516800
Divisors of 230641516800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 256 270 285 288 300 304 320 342 360 380 384 400 432 450 456 475 480 513 540 570 576 600 608 640 675 684 720 760 768 800 855 864 900 912 950 960 1026 1080 1140 1152 1200 1216 1280 1350 1368 1425 1440 1520 1600 1710 1728 1800 1824 1900 1920 2052 2160 2280 2304 2400 2432 2565 2700 2736 2850 2880 3040 3200 3420 3456 3600 3648 3800 3840 4104 4275 4320 4560 4800 4864 5130 5400 5472 5700 5760 6080 6400 6840 6912 7200 7296 7600 8208 8550 8640 9120 9600 10260 10800 10944 11400 11520 12160 12825 13680 14400 14592 15200 16416 17100 17280 18240 19200 20520 21600 21888 22800 24320 25650 27360 28800 30400 32832 34200 34560 36480 41040 43200 43776 45600 51300 54720 57600 60800 65664 68400 70249 72960 82080 86400 91200 102600 109440 121600 131328 136800 140498 164160 172800 182400 205200 210747 218880 273600 280996 328320 351245 364800 410400 421494 547200 561992 632241 656640 702490 820800 842988 1053735 1094400 1123984 1264482 1334731 1404980 1641600 1685976 1756225 1896723 2107470 2247968 2528964 2669462 2809960 3161205 3283200 3371952 3512450 3793446 4004193 4214940 4495936 5057928 5268675 5338924 5619920 6322410 6673655 6743904 7024900 7586892 8008386 8429880 8991872 9483615 10115856 10537350 10677848 11239840 12012579 12644820 13347310 13487808 14049800 15173784 15806025 16016772 16859760 17983744 18967230 20020965 20231712 21074700 21355696 22479680 24025158 25289640 26694620 26975616 28099600 30347568 31612050 32033544 33368275 33719520 36037737 37934460 40041930 40463424 42149400 42711392 44959360 47418075 48050316 50579280 53389240 53951232 56199200 60062895 60695136 63224100 64067088 66736550 67439040 72075474 75868920 80083860 80926848 84298800 85422784 89918720 94836150 96100632 100104825 101158560 106778480 112398400 120125790 121390272 126448200 128134176 133473100 134878080 144150948 151737840 160167720 161853696 168597600 170845568 180188685 189672300 192201264 200209650 202317120 213556960 224796800 240251580 242780544 252896400 256268352 266946200 269756160 288301896 300314475 303475680 320335440 337195200 341691136 360377370 379344600 384402528 400419300 404634240 427113920 449593600 480503160 485561088 505792800 512536704 533892400 576603792 600628950 606951360 640670880 674390400 720754740 758689200 768805056 800838600 809268480 854227840 900943425 961006320 1011585600 1025073408 1067784800 1153207584 1201257900 1213902720 1281341760 1348780800 1441509480 1517378400 1537610112 1601677200 1708455680 1801886850 1922012640 2023171200 2135569600 2306415168 2402515800 2427805440 2562683520 2883018960 3034756800 3075220224 3203354400 3603773700 3844025280 4046342400 4271139200 4612830336 4805031600 5125367040 5766037920 6069513600 6406708800 7207547400 7688050560 8542278400 9225660672 9610063200 11532075840 12139027200 12813417600 14415094800 15376101120 19220126400 23064151680 25626835200 28830189600 38440252800 46128303360 57660379200 76880505600 115320758400 230641516800
- Sum of all divisors σ(n): 890264200000
- Sum of proper divisors (its aliquot sum) s(n): 659622683200
- 230641516800 is an abundant number, because the sum of its proper divisors (659622683200) is greater than itself. Its abundance is 428981166400
Bases of 230641516800
- Binary: 110101101100110100111001000001000000002
- Hexadecimal: 0x35B34E4100
- Base-36: 2XYE05C0
Squares and roots of 230641516800
- 230641516800 squared (2306415168002) is 53195509271804682240000
- 230641516800 cubed (2306415168003) is 12269092945397495385175621632000000
-
The
square root of 230641516800 is 480251.5141048491 -
The
cube root of 230641516800 is 6132.6168014019
Scales and comparisons
How big is 230641516800?- 230,641,516,800 seconds is equal to 7,333 years, 35 weeks, 5 days.
-
To count from 1 to 230,641,516,800 would take you about fourteen thousand, six hundred sixty-seven 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 230641516800 cubic inches would be around 511.1 feet tall.
Recreational maths with 230641516800
- 230641516800 backwards is 008615146032
- 230641516800 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230641516800's digits is 36
- More coming soon!
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