31142379168000
31,142,379,168,000 is an even composite number composed of six prime numbers multiplied together.
31142379168000 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 31142379168000:
28 × 32 × 53 × 43 × 127 × 19801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 43 × 127 × 19801)See below for interesting mathematical facts about the number 31142379168000 from the Numbermatics database.
Names of 31142379168000
- Cardinal: 31142379168000 can be written as Thirty-one trillion, one hundred forty-two billion, three hundred seventy-nine million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 3.1142379168 × 1013
Factors of 31142379168000
Divisors of 31142379168000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 80 86 90 96 100 120 125 127 128 129 144 150 160 172 180 192 200 215 225 240 250 254 256 258 288 300 320 344 360 375 381 384 387 400 430 450 480 500 508 516 576 600 635 640 645 688 720 750 762 768 774 800 860 900 960 1000 1016 1032 1075 1125 1143 1152 1200 1270 1280 1290 1376 1440 1500 1524 1548 1600 1720 1800 1905 1920 1935 2000 2032 2064 2150 2250 2286 2304 2400 2540 2580 2752 2880 3000 3048 3096 3175 3200 3225 3440 3600 3810 3840 3870 4000 4064 4128 4300 4500 4572 4800 5080 5160 5375 5461 5504 5715 5760 6000 6096 6192 6350 6400 6450 6880 7200 7620 7740 8000 8128 8256 8600 9000 9144 9525 9600 9675 10160 10320 10750 10922 11008 11430 11520 12000 12192 12384 12700 12900 13760 14400 15240 15480 15875 16000 16125 16256 16383 16512 17200 18000 18288 19050 19200 19350 19801 20320 20640 21500 21844 22860 24000 24384 24768 25400 25800 27305 27520 28575 28800 30480 30960 31750 32000 32250 32512 32766 33024 34400 36000 36576 38100 38700 39602 40640 41280 43000 43688 45720 47625 48000 48375 48768 49149 49536 50800 51600 54610 55040 57150 57600 59403 60960 61920 63500 64500 65532 68800 72000 73152 76200 77400 79204 81280 81915 82560 86000 87376 91440 95250 96000 96750 97536 98298 99005 99072 101600 103200 109220 114300 118806 121920 123840 127000 129000 131064 136525 137600 142875 144000 146304 152400 154800 158408 162560 163830 165120 172000 174752 178209 182880 190500 193500 196596 198010 203200 206400 218440 228600 237612 243840 245745 247680 254000 258000 262128 273050 275200 285750 288000 292608 297015 304800 309600 316816 327660 344000 349504 356418 365760 381000 387000 393192 396020 406400 409575 412800 436880 457200 475224 487680 491490 495025 495360 508000 516000 524256 546100 571500 594030 609600 619200 633632 655320 682625 688000 699008 712836 731520 762000 774000 786384 792040 812800 819150 825600 851443 873760 891045 914400 950448 982980 990050 1016000 1032000 1048512 1092200 1143000 1188060 1219200 1228725 1238400 1267264 1310640 1365250 1376000 1398016 1425672 1463040 1485075 1524000 1548000 1572768 1584080 1638300 1702886 1747520 1782090 1828800 1900896 1965960 1980100 2032000 2047875 2064000 2097024 2184400 2286000 2376120 2438400 2457450 2475125 2476800 2514727 2534528 2554329 2621280 2730500 2851344 2970150 3048000 3096000 3145536 3168160 3276600 3405772 3495040 3564180 3657600 3801792 3931920 3960200 4064000 4095750 4128000 4194048 4257215 4368800 4455225 4572000 4752240 4914900 4950250 5029454 5069056 5108658 5242560 5461000 5702688 5940300 6096000 6143625 6192000 6291072 6336320 6553200 6811544 6990080 7128360 7315200 7425375 7544181 7603584 7662987 7863840 7920400 8191500 8514430 8737600 8910450 9144000 9504480 9829800 9900500 10058908 10217316 10485120 10922000 11405376 11880600 12192000 12287250 12384000 12573635 12582144 12672640 12771645 13106400 13623088 14256720 14850750 15088362 15207168 15325974 15727680 15840800 16383000 17028860 17475200 17820900 18288000 19008960 19659600 19801000 20117816 20434632 20970240 21286075 21844000 22276125 22632543 22810752 23761200 24574500 25147270 25345280 25543290 26212800 27246176 28513440 29701500 30176724 30651948 31455360 31681600 32766000 34057720 34950400 35641800 36576000 37720905 38017920 38314935 39319200 39602000 40235632 40869264 42572150 43688000 44552250 45265086 45621504 47522400 49149000 50294540 51086580 52425600 54492352 57026880 59403000 60353448 61303896 62868175 62910720 63363200 63858225 65532000 68115440 71283600 75441810 76035840 76629870 78638400 79204000 80471264 81738528 85144300 87376000 89104500 90530172 95044800 98298000 100589080 102173160 104851200 106430375 108133261 108984704 113162715 114053760 118806000 120706896 122607792 125736350 126726400 127716450 131064000 136230880 142567200 150883620 153259740 157276800 158408000 160942528 163477056 170288600 174752000 178209000 181060344 188604525 190089600 191574675 196596000 201178160 204346320 212860750 216266522 217969408 226325430 228107520 237612000 241413792 245215584 251472700 255432900 262128000 272461760 285134400 301767240 306519480 314340875 314553600 316816000 319291125 321885056 324399783 326954112 340577200 356418000 362120688 377209050 380179200 383149350 393192000 402356320 408692640 425721500 432533044 452650860 475224000 482827584 490431168 502945400 510865800 524256000 540666305 544923520 565813575 570268800 603534480 613038960 628681750 633632000 638582250 643770112 648799566 653908224 681154400 712836000 724241376 754418100 766298700 786384000 804712640 817385280 851443000 865066088 905301720 943022625 950448000 957873375 965655168 973199349 980862336 1005890800 1021731600 1081332610 1089847040 1131627150 1140537600 1207068960 1226077920 1257363500 1277164500 1297599132 1362308800 1425672000 1448482752 1508836200 1532597400 1572768000 1609425280 1621998915 1634770560 1702886000 1730132176 1810603440 1886045250 1900896000 1915746750 1931310336 1946398698 1961724672 2011781600 2043463200 2162665220 2263254300 2414137920 2452155840 2514727000 2554329000 2595198264 2703331525 2724617600 2829067875 2851344000 2896965504 3017672400 3065194800 3218850560 3243997830 3269541120 3405772000 3460264352 3621206880 3772090500 3831493500 3892797396 4023563200 4086926400 4325330440 4526508600 4828275840 4865996745 4904311680 5029454000 5108658000 5190396528 5406663050 5449235200 5658135750 5702688000 5793931008 6035344800 6130389600 6487995660 6811544000 6920528704 7242413760 7544181000 7662987000 7785594792 8047126400 8109994575 8173852800 8650660880 9053017200 9656551680 9731993490 9808623360 10058908000 10217316000 10380793056 10813326100 11316271500 12070689600 12260779200 12975991320 13516657625 13623088000 13841057408 14484827520 15088362000 15325974000 15571189584 16094252800 16219989150 16347705600 17301321760 18106034400 19463986980 20117816000 20434632000 20761586112 21626652200 22632543000 24141379200 24329983725 24521558400 25951982640 27033315250 27246176000 27682114816 28969655040 30176724000 30651948000 31142379168 32439978300 34602643520 36212068800 38927973960 40235632000 40549972875 40869264000 41523172224 43253304400 45265086000 48282758400 48659967450 49043116800 51903965280 54066630500 60353448000 61303896000 62284758336 64879956600 69205287040 72424137600 77855947920 80471264000 81099945750 81738528000 83046344448 86506608800 90530172000 97319934900 103807930560 108133261000 120706896000 121649918625 122607792000 124569516672 129759913200 138410574080 144848275200 155711895840 162199891500 173013217600 181060344000 194639869800 207615861120 216266522000 241413792000 243299837250 245215584000 249139033344 259519826400 311423791680 324399783000 346026435200 362120688000 389279739600 415231722240 432533044000 486599674500 519039652800 622847583360 648799566000 692052870400 724241376000 778559479200 865066088000 973199349000 1038079305600 1245695166720 1297599132000 1557118958400 1730132176000 1946398698000 2076158611200 2595198264000 3114237916800 3460264352000 3892797396000 5190396528000 6228475833600 7785594792000 10380793056000 15571189584000 31142379168000
- Sum of all divisors σ(n): 115574108762112
- Sum of proper divisors (its aliquot sum) s(n): 84431729594112
- 31142379168000 is an abundant number, because the sum of its proper divisors (84431729594112) is greater than itself. Its abundance is 53289350426112
Bases of 31142379168000
- Binary: 1110001010010111001100111001010100001000000002
- Hexadecimal: 0x1C52E672A100
- Base-36: B1EM0HFK0
Squares and roots of 31142379168000
- 31142379168000 squared (311423791680002) is 969847780243480372224000000
- 31142379168000 cubed (311423791680003) is 30203367307585605111765583429632000000000
-
The
square root of 31142379168000 is 5580535.7420233409 -
The
cube root of 31142379168000 is 31461.8263258419
Scales and comparisons
How big is 31142379168000?- 31,142,379,168,000 seconds is equal to 990,231 years, 17 weeks, 8 hours.
-
To count from 1 to 31,142,379,168,000 would take you about two million, four hundred seventy-five thousand, five hundred seventy-eight 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 31142379168000 cubic inches would be around 2621.8 feet tall.
Recreational maths with 31142379168000
- 31142379168000 backwards is 00086197324113
- 31142379168000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31142379168000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 31142379168000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 31142379168000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/31142379168000/
Chicago style:
Numbermatics. 2024. "Number 31142379168000 - Facts about the integer". https://numbermatics.com/n/31142379168000/
The information we have on file for 31142379168000 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!
Keywords: Divisors of 31142379168000, math, Factors of 31142379168000, curriculum, school, college, exams, university, Prime factorization of 31142379168000, STEM, science, technology, engineering, physics, economics, calculator, thirty-one trillion, one hundred forty-two billion, three hundred seventy-nine million, one hundred sixty-eight thousand.