31214304000
31,214,304,000 is an even composite number composed of six prime numbers multiplied together.
31214304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 31214304000:
28 × 32 × 53 × 11 × 59 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 59 × 167)See below for interesting mathematical facts about the number 31214304000 from the Numbermatics database.
Names of 31214304000
- Cardinal: 31214304000 can be written as Thirty-one billion, two hundred fourteen million, three hundred four thousand.
Scientific notation
- Scientific notation: 3.1214304 × 1010
Factors of 31214304000
Divisors of 31214304000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 59 60 64 66 72 75 80 88 90 96 99 100 110 118 120 125 128 132 144 150 160 165 167 176 177 180 192 198 200 220 225 236 240 250 256 264 275 288 295 300 320 330 334 352 354 360 375 384 396 400 440 450 472 480 495 500 501 528 531 550 576 590 600 640 649 660 668 704 708 720 750 768 792 800 825 835 880 885 900 944 960 990 1000 1002 1056 1062 1100 1125 1152 1180 1200 1280 1298 1320 1336 1375 1408 1416 1440 1475 1500 1503 1584 1600 1650 1670 1760 1770 1800 1837 1888 1920 1947 1980 2000 2004 2112 2124 2200 2250 2304 2360 2400 2475 2505 2596 2640 2655 2672 2750 2816 2832 2880 2950 3000 3006 3168 3200 3245 3300 3340 3520 3540 3600 3674 3776 3840 3894 3960 4000 4008 4125 4175 4224 4248 4400 4425 4500 4720 4800 4950 5010 5192 5280 5310 5344 5500 5511 5664 5760 5841 5900 6000 6012 6336 6400 6490 6600 6680 7040 7080 7200 7348 7375 7515 7552 7788 7920 8000 8016 8250 8350 8448 8496 8800 8850 9000 9185 9440 9600 9735 9853 9900 10020 10384 10560 10620 10688 11000 11022 11328 11520 11682 11800 12000 12024 12375 12525 12672 12980 13200 13275 13360 14080 14160 14400 14696 14750 15030 15104 15576 15840 16000 16032 16225 16500 16533 16700 16992 17600 17700 18000 18370 18880 19200 19470 19706 19800 20040 20768 20875 21120 21240 21376 22000 22044 22125 22656 23364 23600 24000 24048 24750 25050 25344 25960 26400 26550 26720 27555 28320 28800 29205 29392 29500 29559 30060 31152 31680 32000 32064 32450 33000 33066 33400 33984 35200 35400 36000 36740 37575 37760 38940 39412 39600 40080 41536 41750 42240 42480 42752 44000 44088 44250 45312 45925 46728 47200 48000 48096 48675 49265 49500 50100 51920 52800 53100 53440 55110 56640 57600 58410 58784 59000 59118 60120 62304 62625 63360 64128 64900 66000 66132 66375 66800 67968 70400 70800 72000 73480 75150 75520 77880 78824 79200 80160 81125 82665 83072 83500 84960 88000 88176 88500 88677 91850 93456 94400 96000 96192 97350 98530 99000 100200 103840 105600 106200 106880 108383 110220 113280 116820 117568 118000 118236 120240 124608 125250 126720 128256 129800 132000 132264 132750 133600 135936 137775 141600 144000 146025 146960 147795 150300 155760 157648 158400 160320 162250 165330 166144 167000 169920 176000 176352 177000 177354 183700 186912 187875 188800 192384 194700 197060 198000 200400 207680 211200 212400 213760 216766 220440 226560 229625 233640 235136 236000 236472 240480 243375 246325 249216 250500 259600 264000 264528 265500 267200 275550 283200 288000 292050 293920 295590 300600 311520 315296 316800 320640 324500 325149 330660 334000 339840 352000 352704 354000 354708 367400 373824 375750 377600 384768 389400 394120 396000 400800 413325 415360 424800 433532 440880 443385 459250 467280 470272 472000 472944 480960 486750 492650 498432 501000 519200 528000 529056 531000 534400 541915 551100 566400 584100 587840 591180 601200 623040 630592 633600 641280 649000 650298 661320 668000 679680 688875 705408 708000 709416 730125 734800 738975 747648 751500 778800 788240 792000 801600 826650 830720 849600 867064 881760 886770 918500 934560 944000 945888 961920 973500 975447 985300 1002000 1038400 1056000 1058112 1062000 1068800 1083830 1102200 1132800 1168200 1175680 1182360 1202400 1231625 1246080 1261184 1298000 1300596 1322640 1336000 1377750 1410816 1416000 1418832 1460250 1469600 1477950 1495296 1503000 1557600 1576480 1584000 1603200 1625745 1653300 1699200 1734128 1763520 1773540 1837000 1869120 1888000 1891776 1923840 1947000 1950894 1970600 2004000 2066625 2076800 2116224 2124000 2167660 2204400 2216925 2336400 2351360 2364720 2404800 2463250 2492160 2522368 2596000 2601192 2645280 2672000 2709575 2755500 2832000 2837664 2920500 2939200 2955900 3006000 3115200 3152960 3168000 3206400 3251490 3306600 3398400 3468256 3527040 3547080 3674000 3694875 3738240 3783552 3894000 3901788 3941200 4008000 4133250 4153600 4232448 4248000 4335320 4408800 4433850 4672800 4729440 4809600 4877235 4926500 5192000 5202384 5290560 5344000 5419150 5511000 5664000 5675328 5841000 5878400 5911800 6012000 6230400 6305920 6502980 6613200 6936512 7054080 7094160 7348000 7389750 7476480 7567104 7788000 7803576 7882400 8016000 8128725 8266500 8496000 8670640 8817600 8867700 9345600 9458880 9619200 9754470 9853000 10384000 10404768 10581120 10838300 11022000 11084625 11350656 11682000 11756800 11823600 12024000 12460800 12611840 13005960 13226400 13547875 13873024 14188320 14696000 14779500 15576000 15607152 15764800 16032000 16257450 16533000 16992000 17341280 17635200 17735400 18691200 18917760 19508940 19706000 20768000 20809536 21162240 21676600 22044000 22169250 22701312 23364000 23647200 24048000 24386175 26011920 26452800 27095750 27746048 28376640 29392000 29559000 31152000 31214304 31529600 32514900 33066000 34682560 35270400 35470800 37382400 37835520 39017880 39412000 40643625 41619072 43353200 44088000 44338500 46728000 47294400 48096000 48772350 52023840 52905600 54191500 56753280 58784000 59118000 62304000 62428608 63059200 65029800 66132000 69365120 70941600 78035760 78824000 81287250 83238144 86706400 88176000 88677000 93456000 94588800 97544700 104047680 105811200 108383000 113506560 118236000 121930875 124857216 130059600 132264000 138730240 141883200 156071520 157648000 162574500 173412800 176352000 177354000 186912000 189177600 195089400 208095360 216766000 236472000 243861750 249714432 260119200 264528000 283766400 312143040 315296000 325149000 346825600 354708000 390178800 416190720 433532000 472944000 487723500 520238400 529056000 567532800 624286080 650298000 693651200 709416000 780357600 867064000 945888000 975447000 1040476800 1248572160 1300596000 1418832000 1560715200 1734128000 1950894000 2080953600 2601192000 2837664000 3121430400 3468256000 3901788000 5202384000 6242860800 7803576000 10404768000 15607152000 31214304000
- Sum of all divisors σ(n): 125351815680
- Sum of proper divisors (its aliquot sum) s(n): 94137511680
- 31214304000 is an abundant number, because the sum of its proper divisors (94137511680) is greater than itself. Its abundance is 62923207680
Bases of 31214304000
- Binary: 111010001001000010001111011000000002
- Hexadecimal: 0x744847B00
- Base-36: EC86V40
Squares and roots of 31214304000
- 31214304000 squared (312143040002) is 974332774204416000000
- 31214304000 cubed (312143040003) is 30413119411179999166464000000000
-
The
square root of 31214304000 is 176675.7029135585 -
The
cube root of 31214304000 is 3148.6028573531
Scales and comparisons
How big is 31214304000?- 31,214,304,000 seconds is equal to 992 years, 26 weeks, 6 days, 16 hours.
-
To count from 1 to 31,214,304,000 would take you about one thousand, nine hundred eighty-five 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 31214304000 cubic inches would be around 262.4 feet tall.
Recreational maths with 31214304000
- 31214304000 backwards is 00040341213
- 31214304000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 31214304000's digits is 18
- More coming soon!
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