216168122368000
216,168,122,368,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 216168122368000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
216168122368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 216168122368000:
214 × 53 × 112 × 17 × 232 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 17 × 23 × 23 × 97)See below for interesting mathematical facts about the number 216168122368000 from the Numbermatics database.
Names of 216168122368000
- Cardinal: 216168122368000 can be written as Two hundred sixteen trillion, one hundred sixty-eight billion, one hundred twenty-two million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.16168122368 × 1014
Factors of 216168122368000
Divisors of 216168122368000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 23 25 32 34 40 44 46 50 55 64 68 80 85 88 92 97 100 110 115 121 125 128 136 160 170 176 184 187 194 200 220 230 242 250 253 256 272 275 320 340 352 368 374 388 391 400 425 440 460 484 485 500 506 512 529 544 550 575 605 640 680 704 736 748 776 782 800 850 880 920 935 968 970 1000 1012 1024 1058 1067 1088 1100 1150 1210 1265 1280 1360 1375 1408 1472 1496 1552 1564 1600 1649 1700 1760 1840 1870 1936 1940 1955 2000 2024 2048 2057 2116 2125 2134 2176 2200 2231 2300 2420 2425 2530 2560 2645 2720 2750 2783 2816 2875 2944 2992 3025 3104 3128 3200 3298 3400 3520 3680 3740 3872 3880 3910 4000 4048 4096 4114 4232 4250 4268 4301 4352 4400 4462 4600 4675 4840 4850 5060 5120 5290 5335 5440 5500 5566 5632 5750 5819 5888 5984 6050 6208 6256 6325 6400 6596 6800 7040 7360 7480 7744 7760 7820 8000 8096 8192 8228 8245 8464 8500 8536 8602 8704 8800 8924 8993 9200 9350 9680 9700 9775 10120 10240 10285 10580 10670 10880 11000 11132 11155 11264 11500 11638 11737 11776 11968 12100 12125 12416 12512 12650 12800 13192 13225 13600 13915 14080 14720 14960 15125 15488 15520 15640 16000 16192 16384 16456 16490 16928 17000 17072 17204 17408 17600 17848 17986 18139 18400 18700 19360 19400 19550 20240 20480 20570 21160 21340 21505 21760 22000 22264 22310 22528 23000 23276 23375 23474 23552 23936 24200 24250 24541 24832 25024 25300 25600 26384 26450 26675 27200 27830 28160 29095 29440 29920 30250 30976 31040 31280 31625 32000 32384 32912 32980 33856 34000 34144 34408 34816 35200 35696 35972 36278 36800 37400 37927 38720 38800 39100 40480 40960 41140 41225 42320 42680 43010 43520 44000 44528 44620 44965 45056 46000 46552 46750 46948 47104 47311 47872 48400 48500 48875 49082 49664 50048 50600 51200 51313 51425 52768 52900 53350 54400 55660 55775 56320 58190 58685 58880 59840 60500 61952 62080 62560 63250 64000 64009 64768 65824 65960 66125 67712 68000 68288 68816 69575 69632 70400 71392 71944 72556 73600 74800 75854 77440 77600 78200 80960 81920 82280 82450 84640 85360 86020 87040 88000 89056 89240 89930 90112 90695 92000 93104 93500 93896 94208 94622 95744 96800 97000 97750 98164 98923 99328 100096 101200 102400 102626 102850 105536 105800 106700 107525 108800 111320 111550 112640 116380 117370 117760 119680 121000 122705 123904 124160 125120 126500 128000 128018 129536 131648 131920 132250 133375 135424 136000 136576 137632 139150 139264 140800 142784 143888 145112 145475 147200 149600 151708 154880 155200 156400 161920 164560 164900 169280 170720 172040 174080 176000 178112 178480 179860 180224 181390 184000 186208 187000 187792 188416 189244 189635 191488 193600 194000 195500 196328 197846 198656 199529 200192 202400 204800 205252 205700 206125 211072 211600 213400 215050 217600 222640 223100 224825 225280 232760 234740 235520 236555 239360 242000 245410 247808 248320 250240 253000 256000 256036 256565 257125 259072 263296 263840 264500 266750 269951 270848 272000 273152 275264 278300 278528 278875 281600 285568 287776 290224 290950 293425 294400 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587413376000 614113984000 635788595200 675525382400 786065899520 794735744000 844406728000 854419456000 864672489472 893256704000 939861401600 982582374400 1080840611840 1114268672000 1155979264000 1174826752000 1228227968000 1271577190400 1351050764800 1589471488000 1688813456000 1729344978944 1786513408000 1879722803200 1965164748800 2161681223680 2228537344000 2349653504000 2456455936000 2543154380800 2702101529600 3178942976000 3377626912000 3930329497600 4323362447360 4699307008000 4912911872000 5404203059200 6357885952000 6755253824000 8646724894720 9398614016000 9825823744000 10808406118400 12715771904000 13510507648000 19651647488000 21616812236800 27021015296000 43233624473600 54042030592000 108084061184000 216168122368000
- Sum of all divisors σ(n): 663187959160272
- Sum of proper divisors (its aliquot sum) s(n): 447019836792272
- 216168122368000 is an abundant number, because the sum of its proper divisors (447019836792272) is greater than itself. Its abundance is 230851714424272
Bases of 216168122368000
- Binary: 1100010010011010100100000010010101000000000000002
- Hexadecimal: 0xC49A90254000
- Base-36: 24MI9IRG1S
Squares and roots of 216168122368000
- 216168122368000 squared (2161681223680002) is 46728657128106621927424000000
- 216168122368000 cubed (2161681223680003) is 10101246072160867700958503247020032000000000
-
The
square root of 216168122368000 is 14702656.9832802669 -
The
cube root of 216168122368000 is 60015.5628488725
Scales and comparisons
How big is 216168122368000?- 216,168,122,368,000 seconds is equal to 6,873,477 years, 33 weeks, 1 day, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 216,168,122,368,000 would take you about seventeen million, one hundred eighty-three thousand, six hundred ninety-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 216168122368000 cubic inches would be around 5001.3 feet tall.
Recreational maths with 216168122368000
- 216168122368000 backwards is 000863221861612
- 216168122368000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 216168122368000's digits is 46
- More coming soon!
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MLA style:
"Number 216168122368000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 216168122368000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/216168122368000/
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Numbermatics. 2024. "Number 216168122368000 - Facts about the integer". https://numbermatics.com/n/216168122368000/
The information we have on file for 216168122368000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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