31973390401513121384670800
31,973,390,401,513,121,384,670,800 is an even composite number composed of six prime numbers multiplied together.
31973390401513121384670800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 31973390401513121384670800:
24 × 52 × 17 × 181 × 198891871 × 130612327831
(2 × 2 × 2 × 2 × 5 × 5 × 17 × 181 × 198891871 × 130612327831)See below for interesting mathematical facts about the number 31973390401513121384670800 from the Numbermatics database.
Names of 31973390401513121384670800
- Cardinal: 31973390401513121384670800 can be written as Thirty-one septillion, nine hundred seventy-three sextillion, three hundred ninety quintillion, four hundred one quadrillion, five hundred thirteen trillion, one hundred twenty-one billion, three hundred eighty-four million, six hundred seventy thousand, eight hundred.
Scientific notation
- Scientific notation: 3.19733904015131213846708 × 1025
Factors of 31973390401513121384670800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 130811219907
Divisors of 31973390401513121384670800
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 181 200 272 340 362 400 425 680 724 850 905 1360 1448 1700 1810 2896 3077 3400 3620 4525 6154 6800 7240 9050 12308 14480 15385 18100 24616 30770 36200 49232 61540 72400 76925 123080 153850 246160 307700 615400 1230800 198891871 397783742 795567484 994459355 1591134968 1988918710 3182269936 3381161807 3977837420 4972296775 6762323614 7955674840 9944593550 13524647228 15911349680 16905809035 19889187100 27049294456 33811618070 35999428651 39778374200 54098588912 67623236140 71998857302 79556748400 84529045175 130612327831 135246472280 143997714604 169058090350 179997143255 261224655662 270492944560 287995429208 338116180700 359994286510 522449311324 575990858416 611990287067 653061639155 676232361400 719988573020 899985716275 1044898622648 1223980574134 1306123278310 1352464722800 1439977146040 1799971432550 2089797245296 2220409573127 2447961148268 2612246556620 2879954292080 3059951435335 3265308195775 3599942865100 4440819146254 4895922296536 5224493113240 6119902870670 6530616391550 7199885730200 8881638292508 9791844593072 10448986226480 11102047865635 12239805741340 13061232783100 14399771460400 15299757176675 17763276585016 22204095731270 23640831337411 24479611482680 26122465566200 30599514353350 35526553170032 44408191462540 47281662674822 48959222965360 52244931132400 55510239328175 61199028706700 88816382925080 94563325349644 111020478656350 118204156687055 122398057413400 177632765850160 189126650699288 222040957312700 236408313374110 244796114826800 378253301398576 401894132735987 444081914625400 472816626748220 591020783435275 803788265471974 888163829250800 945633253496440 1182041566870550 1607576530943948 1891266506992880 2009470663679935 2364083133741100 3215153061887896 4018941327359870 4728166267482200 6430306123775792 8037882654719740 9456332534964400 10047353318399675 16075765309439480 20094706636799350 32151530618878960 40189413273598700 80378826547197400 160757653094394800 25977730257972961801 51955460515945923602 103910921031891847204 129888651289864809005 207821842063783694408 259777302579729618010 415643684127567388816 441621414385540350617 519554605159459236020 649443256449324045025 883242828771080701234 1039109210318918472040 1298886512898648090050 1766485657542161402468 2078218420637836944080 2208107071927701753085 2597773025797296180100 3532971315084322804936 4416214143855403506170 4701969176693106085981 5195546051594592360200 7065942630168645609872 8832428287710807012340 9403938353386212171962 10391092103189184720400 11040535359638508765425 17664856575421614024680 18807876706772424343924 22081070719277017530850 23509845883465530429905 35329713150843228049360 37615753413544848687848 44162141438554035061700 47019691766931060859810 75231506827089697375696 79933476003782803461677 88324282877108070123400 94039383533862121719620 117549229417327652149525 159866952007565606923354 176648565754216140246800 188078767067724243439240 235098458834655304299050 319733904015131213846708 376157534135448486878480 399667380018914017308385 470196917669310608598100 639467808030262427693416 799334760037828034616770 940393835338621217196200 1278935616060524855386832 1598669520075656069233540 1880787670677242434392400 1998336900094570086541925 3197339040151312138467080 3996673800189140173083850 6394678080302624276934160 7993347600378280346167700 15986695200756560692335400 31973390401513121384670800
- Sum of all divisors σ(n): 81784026008264356441426944
- Sum of proper divisors (its aliquot sum) s(n): 49810635606751235056756144
- 31973390401513121384670800 is an abundant number, because the sum of its proper divisors (49810635606751235056756144) is greater than itself. Its abundance is 17837245205238113672085344
Bases of 31973390401513121384670800
- Binary: 11010011100101010000011110111011111010001010110010101001001000100001010100110010100002
- Hexadecimal: 0x1A72A0F77D15952442A650
- Base-36: 40MLDARRU0OVK6MA8
Squares and roots of 31973390401513121384670800
- 31973390401513121384670800 squared (319733904015131213846708002) is 1022297693767571401511625664085388079105224372640000
- 31973390401513121384670800 cubed (319733904015131213846708003) is 32686323269397067782345710602814749601802221545915075563823353042926912000000
-
The
square root of 31973390401513121384670800 is 5654501781900.2516770859 -
The
cube root of 31973390401513121384670800 is 317392185.7721925075
Scales and comparisons
How big is 31973390401513121384670800?- 31,973,390,401,513,121,384,670,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,973,390,401,513,121,384,670,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 31973390401513121384670800 cubic inches would be around 26449348.8 feet tall.
Recreational maths with 31973390401513121384670800
- 31973390401513121384670800 backwards is 00807648312131510409337913
- The number of decimal digits it has is: 26
- The sum of 31973390401513121384670800's digits is 89
- More coming soon!
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The information we have on file for 31973390401513121384670800 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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