230837796864000
230,837,796,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 230837796864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
230837796864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 230837796864000:
217 × 34 × 53 × 312 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 31 × 181)See below for interesting mathematical facts about the number 230837796864000 from the Numbermatics database.
Names of 230837796864000
- Cardinal: 230837796864000 can be written as Two hundred thirty trillion, eight hundred thirty-seven billion, seven hundred ninety-six million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.30837796864 × 1014
Factors of 230837796864000
Divisors of 230837796864000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 181 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 324 360 362 372 375 384 400 405 432 450 465 480 496 500 512 540 543 558 576 600 620 640 648 675 720 724 744 750 768 775 800 810 837 864 900 905 930 960 961 992 1000 1024 1080 1086 1116 1125 1152 1200 1240 1280 1296 1350 1395 1440 1448 1488 1500 1536 1550 1600 1620 1629 1674 1728 1800 1810 1860 1920 1922 1984 2000 2025 2048 2160 2172 2232 2250 2304 2325 2400 2480 2511 2560 2592 2700 2715 2790 2880 2883 2896 2976 3000 3072 3100 3200 3240 3258 3348 3375 3456 3600 3620 3720 3840 3844 3875 3968 4000 4050 4096 4185 4320 4344 4464 4500 4525 4608 4650 4800 4805 4887 4960 5022 5120 5184 5400 5430 5580 5611 5760 5766 5792 5952 6000 6144 6200 6400 6480 6516 6696 6750 6912 6975 7200 7240 7440 7680 7688 7750 7936 8000 8100 8145 8192 8370 8640 8649 8688 8928 9000 9050 9216 9300 9600 9610 9774 9920 10044 10125 10240 10368 10800 10860 11160 11222 11520 11532 11584 11625 11904 12000 12288 12400 12555 12800 12960 13032 13392 13500 13575 13824 13950 14400 14415 14480 14661 14880 15360 15376 15500 15872 16000 16200 16290 16384 16740 16833 17280 17298 17376 17856 18000 18100 18432 18600 19200 19220 19548 19840 20088 20250 20480 20736 20925 21600 21720 22320 22444 22625 23040 23064 23168 23250 23808 24000 24025 24435 24576 24800 25110 25600 25920 25947 26064 26784 27000 27150 27648 27900 28055 28800 28830 28960 29322 29760 30720 30752 31000 31744 32000 32400 32580 32768 33480 33666 34560 34596 34752 34875 35712 36000 36200 36864 37200 38400 38440 39096 39680 40176 40500 40725 40960 41472 41850 43200 43245 43440 44640 44888 45250 46080 46128 46336 46500 47616 48000 48050 48870 49152 49600 50220 50499 51200 51840 51894 52128 53568 54000 54300 55296 55800 56110 57600 57660 57920 58644 59520 61440 61504 62000 62775 63488 64000 64800 65160 65536 66960 67332 67875 69120 69192 69504 69750 71424 72000 72075 72400 73305 73728 74400 76800 76880 77841 78192 79360 80352 81000 81450 81920 82944 83700 84165 86400 86490 86880 89280 89776 90500 92160 92256 92672 93000 95232 96000 96100 97740 98304 99200 100440 100998 102400 103680 103788 104256 104625 107136 108000 108600 110592 111600 112220 115200 115320 115840 117288 119040 120125 122175 122880 123008 124000 125550 126976 128000 129600 129735 130320 131072 133920 134664 135750 138240 138384 139008 139500 140275 142848 144000 144150 144800 146610 147456 148800 151497 153600 153760 155682 156384 158720 160704 162000 162900 163840 165888 167400 168330 172800 172980 173760 173941 178560 179552 181000 184320 184512 185344 186000 190464 192000 192200 195480 196608 198400 200880 201996 203625 204800 207360 207576 208512 209250 214272 216000 216225 217200 221184 223200 224440 230400 230640 231680 234576 238080 240250 244350 245760 246016 248000 251100 252495 253952 256000 259200 259470 260640 267840 269328 271500 276480 276768 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1025945763840 1068693504000 1154188984320 1202280192000 1241063424000 1275346944000 1282432204800 1424924672000 1442736230400 1489276108800 1538918645760 1603040256000 1709909606400 1803420288000 1846702374912 1861595136000 1923648307200 2137387008000 2308377968640 2404560384000 2482126848000 2564864409600 2849849344000 2885472460800 3077837291520 3206080512000 3606840576000 3723190272000 3847296614400 4274774016000 4616755937280 4809120768000 5129728819200 5770944921600 6412161024000 7213681152000 7446380544000 7694593228800 8549548032000 9233511874560 9618241536000 11541889843200 12824322048000 14427362304000 15389186457600 19236483072000 23083779686400 25648644096000 28854724608000 38472966144000 46167559372800 57709449216000 76945932288000 115418898432000 230837796864000
- Sum of all divisors σ(n): 894270429620568
- Sum of proper divisors (its aliquot sum) s(n): 663432632756568
- 230837796864000 is an abundant number, because the sum of its proper divisors (663432632756568) is greater than itself. Its abundance is 432594835892568
Bases of 230837796864000
- Binary: 1101000111110010000111001110001000000000000000002
- Hexadecimal: 0xD1F21CE20000
- Base-36: 29TPF47400
Squares and roots of 230837796864000
- 230837796864000 squared (2308377968640002) is 53286088461025328234496000000
- 230837796864000 cubed (2308377968640003) is 12300443263843299100153511405420544000000000
-
The
square root of 230837796864000 is 15193347.1251070941 -
The
cube root of 230837796864000 is 61343.5596374157
Scales and comparisons
How big is 230837796864000?- 230,837,796,864,000 seconds is equal to 7,339,927 years, 47 weeks, 3 days.
-
To count from 1 to 230,837,796,864,000 would take you about eighteen million, three hundred forty-nine thousand, eight hundred nineteen 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 230837796864000 cubic inches would be around 5112 feet tall.
Recreational maths with 230837796864000
- 230837796864000 backwards is 000468697738032
- The number of decimal digits it has is: 15
- The sum of 230837796864000's digits is 63
- More coming soon!
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"Number 230837796864000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 230837796864000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/230837796864000/
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Numbermatics. 2024. "Number 230837796864000 - Facts about the integer". https://numbermatics.com/n/230837796864000/
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