31988801622955400496
31,988,801,622,955,400,496 is an even composite number composed of six prime numbers multiplied together.
What does the number 31988801622955400496 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
31988801622955400496 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 31988801622955400496:
24 × 33 × 7 × 132 × 197 × 317733680203
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 197 × 317733680203)See below for interesting mathematical facts about the number 31988801622955400496 from the Numbermatics database.
Names of 31988801622955400496
- Cardinal: 31988801622955400496 can be written as Thirty-one quintillion, nine hundred eighty-eight quadrillion, eight hundred one trillion, six hundred twenty-two billion, nine hundred fifty-five million, four hundred thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 3.1988801622955400496 × 1019
Factors of 31988801622955400496
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 317733680425
Divisors of 31988801622955400496
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 169 182 189 197 208 216 234 252 273 312 336 338 351 364 378 394 432 468 504 507 546 591 624 676 702 728 756 788 819 936 1008 1014 1092 1182 1183 1352 1379 1404 1456 1512 1521 1576 1638 1773 1872 2028 2184 2364 2366 2457 2561 2704 2758 2808 3024 3042 3152 3276 3546 3549 4056 4137 4368 4563 4728 4732 4914 5122 5319 5516 5616 6084 6552 7092 7098 7683 8112 8274 9126 9456 9464 9828 10244 10638 10647 11032 12168 12411 13104 14184 14196 15366 16548 17927 18252 18928 19656 20488 21276 21294 22064 23049 24336 24822 28368 28392 30732 31941 33096 33293 35854 36504 37233 39312 40976 42552 42588 46098 49644 53781 56784 61464 63882 66192 66586 69147 71708 73008 74466 85104 85176 92196 99288 99879 107562 122928 127764 133172 138294 143416 148932 161343 170352 184392 198576 199758 215124 233051 255528 266344 276588 286832 297864 299637 322686 368784 399516 430248 466102 484029 511056 532688 553176 595728 599274 645372 699153 799032 860496 898911 932204 968058 1106352 1198548 1290744 1398306 1598064 1797822 1864408 1936116 2097459 2397096 2581488 2796612 3595644 3728816 3872232 4194918 4794192 5593224 6292377 7191288 7744464 8389836 11186448 12584754 14382576 16779672 25169508 33559344 50339016 100678032 317733680203 635467360406 953201040609 1270934720812 1906402081218 2224135761421 2541869441624 2859603121827 3812804162436 4130537842639 4448271522842 5083738883248 5719206243654 6672407284263 7625608324872 8261075685278 8578809365481 8896543045684 11438412487308 12391613527917 13344814568526 15251216649744 16522151370556 17157618730962 17793086091368 20017221852789 22876824974616 24783227055834 26689629137052 28913764898473 33044302741112 34315237461924 35586172182736 37174840583751 40034443705578 45753649949232 49566454111668 53379258274104 53696991954307 57827529796946 60051665558367 62593534999991 66088605482224 68630474923848 74349681167502 80068887411156 86741294695419 99132908223336 106758516548208 107393983908614 111524521751253 115655059593892 120103331116734 125187069999982 137260949847696 148699362335004 160137774822312 161090975862921 173482589390838 187780604999973 198265816446672 214787967817228 223049043502506 231310119187784 240206662233468 250374139999964 260223884086257 297398724670008 320275549644624 322181951725842 346965178781676 375561209999946 375878943680149 429575935634456 438154744999937 446098087005012 462620238375568 480413324466936 483272927588763 500748279999928 520447768172514 563341814999919 594797449340016 644363903451684 693930357563352 751122419999892 751757887360298 780671652258771 813715954999883 859151871268912 876309489999874 892196174010024 960826648933872 966545855177526 1001496559999856 1040895536345028 1126683629999838 1127636831040447 1288727806903368 1314464234999811 1387860715126704 1449818782766289 1502244839999784 1503515774720596 1561343304517542 1627431909999766 1690025444999757 1752618979999748 1784392348020048 1933091710355052 2081791072690056 2253367259999676 2255273662080894 2441147864999649 2577455613806736 2628928469999622 2899637565532578 3004489679999568 3007031549441192 3122686609035084 3254863819999532 3380050889999514 3382910493121341 3505237959999496 3866183420710104 3943392704999433 4163582145380112 4506734519999352 4510547324161788 4882295729999298 5257856939999244 5696011684999181 5799275131065156 6014063098882384 6245373218070168 6509727639999064 6760101779999028 6765820986242682 7010475919998992 7323443594998947 7732366841420208 7886785409998866 9013469039998704 9021094648323576 9764591459998596 10148731479364023 10515713879998488 10578307414998479 11392023369998362 11598550262130312 11830178114998299 12490746436140336 13019455279998128 13520203559998056 13531641972485364 14646887189997894 15773570819997732 17088035054997543 18042189296647152 19529182919997192 20297462958728046 21031427759996976 21156614829996958 21970330784996841 22784046739996724 23197100524260624 23660356229996598 27040407119996112 27063283944970728 29293774379995788 31547141639995464 31734922244995437 34176070109995086 39058365839994384 40594925917456092 42313229659993916 43940661569993682 45568093479993448 47320712459993196 51264105164992629 54126567889941456 58587548759991576 63094283279990928 63469844489990874 68352140219990172 74048151904989353 81189851834912184 84626459319987832 87881323139987364 91136186959986896 94641424919986392 95204766734986311 102528210329985258 117175097519983152 126939688979981748 136704280439980344 148096303809978706 153792315494977887 162379703669824368 169252918639975664 175762646279974728 189282849839972784 190409533469972622 205056420659970516 222144455714968059 253879377959963496 273408560879960688 285614300204958933 296192607619957412 307584630989955774 351525292559949456 380819066939945244 410112841319941032 444288911429936118 507758755919926992 571228600409917866 592385215239914824 615169261979911548 666433367144904177 761638133879890488 820225682639882064 888577822859872236 1142457200819835732 1184770430479829648 1230338523959823096 1332866734289808354 1523276267759780976 1777155645719744472 1999300101434712531 2284914401639671464 2460677047919646192 2665733468579616708 3554311291439488944 3998600202869425062 4569828803279342928 5331466937159233416 7997200405738850124 10662933874318466832 15994400811477700248 31988801622955400496
- Sum of all divisors σ(n): 114206600711636421120
- Sum of proper divisors (its aliquot sum) s(n): 82217799088681020624
- 31988801622955400496 is an abundant number, because the sum of its proper divisors (82217799088681020624) is greater than itself. Its abundance is 50228997465725620128
Bases of 31988801622955400496
- Binary: 110111011111011110000110110010111100101101011001000011101001100002
- Hexadecimal: 0x1BBEF0D9796B21D30
- Base-36: 6R1AJSGJ98TO0
Squares and roots of 31988801622955400496
- 31988801622955400496 squared (319888016229554004962) is 1023283429272794064757121599131757046016
- 31988801622955400496 cubed (319888016229554004963) is 32733610623064922555050392815131993680649343289067181223936
-
The
square root of 31988801622955400496 is 5655864356.8384311541 -
The
cube root of 31988801622955400496 is 3174431.7208216671
Scales and comparisons
How big is 31988801622955400496?- 31,988,801,622,955,400,496 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,988,801,622,955,400,496 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 31988801622955400496 cubic inches would be around 264536 feet tall.
Recreational maths with 31988801622955400496
- 31988801622955400496 backwards is 69400455922610888913
- The number of decimal digits it has is: 20
- The sum of 31988801622955400496's digits is 90
- More coming soon!
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The information we have on file for 31988801622955400496 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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