31144314849679968
31,144,314,849,679,968 is an even composite number composed of five prime numbers multiplied together.
31144314849679968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 31144314849679968:
25 × 3 × 413 × 73 × 4013
(2 × 2 × 2 × 2 × 2 × 3 × 41 × 41 × 41 × 73 × 401 × 401 × 401)See below for interesting mathematical facts about the number 31144314849679968 from the Numbermatics database.
Names of 31144314849679968
- Cardinal: 31144314849679968 can be written as Thirty-one quadrillion, one hundred forty-four trillion, three hundred fourteen billion, eight hundred forty-nine million, six hundred seventy-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.1144314849679968 × 1016
Factors of 31144314849679968
Divisors of 31144314849679968
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 41 48 73 82 96 123 146 164 219 246 292 328 401 438 492 584 656 802 876 984 1168 1203 1312 1604 1681 1752 1968 2336 2406 2993 3208 3362 3504 3936 4812 5043 5986 6416 6724 7008 8979 9624 10086 11972 12832 13448 16441 17958 19248 20172 23944 26896 29273 32882 35916 38496 40344 47888 49323 53792 58546 65764 68921 71832 80688 87819 95776 98646 117092 122713 131528 137842 143664 160801 161376 175638 197292 206763 234184 245426 263056 275684 287328 321602 351276 368139 394584 413526 468368 482403 490852 526112 551368 643204 674081 702552 736278 789168 827052 936736 964806 981704 1102736 1200193 1286408 1348162 1405104 1472556 1578336 1654104 1929612 1963408 2022243 2205472 2400386 2572816 2696324 2810208 2945112 3308208 3600579 3859224 3926816 4044486 4800772 5031233 5145632 5392648 5890224 6592841 6616416 7201158 7718448 8088972 9601544 10062466 10785296 11738473 11780448 13185682 14402316 15093699 15436896 16177944 19203088 19778523 20124932 21570592 23476946 26371364 27637321 28804632 30187398 32355888 35215419 38406176 39557046 40249864 46953892 49207913 52742728 55274642 57609264 60374796 64481201 64711776 70430838 79114092 80499728 82911963 93907784 98415826 105485456 110549284 115218528 120749592 128962402 140861676 147623739 158228184 160999456 165823926 187815568 193443603 196831652 210970912 221098568 241499184 257924804 270306481 281723352 295247478 316456368 331647852 375631136 386887206 393663304 442197136 481277393 482998368 515849608 540612962 563446704 590494956 632912736 663295704 773774412 787326608 810919443 884394272 962554786 1031699216 1081225924 1126893408 1180989912 1326591408 1443832179 1547548824 1574653216 1621838886 1925109572 2017524433 2063398432 2162451848 2361979824 2643729241 2653182816 2887664358 3095097648 3243677772 3850219144 4035048866 4324903696 4707127673 4723959648 5287458482 5775328716 6052573299 6190195296 6487355544 7700438288 7931187723 8070097732 8649807392 9414255346 10574916964 11082565721 11550657432 12105146598 12974711088 14121383019 15400876576 15862375446 16140195464 18828510692 19732373113 21149833928 22165131442 23101314864 24210293196 25949422176 28242766038 31724750892 32280390928 33247697163 37657021384 39464746226 42299667856 44330262884 46202629728 48420586392 56485532076 59197119339 63449501784 64560781856 66495394326 75314042768 78929492452 84599335712 88660525768 96841172784 108392898881 112971064152 118394238678 126899003568 132990788652 150628085536 157858984904 177321051536 192992234593 193682345568 216785797762 225942128304 236788477356 253798007136 265981577304 315717969808 325178696643 354642103072 385984469186 433571595524 451884256608 473576954712 531963154608 578976703779 631435939616 650357393286 771968938372 809027297633 867143191048 947153909424 1063926309216 1157953407558 1300714786572 1543937876744 1618054595266 1734286382096 1894307818848 2315906815116 2427081892899 2601429573144 3087875753488 3236109190532 3468572764192 4444108854121 4631813630232 4854163785798 5202859146288 6175751506976 6472218381064 7912681618313 8888217708242 9263627260464 9708327571596 10405718292576 12944436762128 13332326562363 15825363236626 17776435416484 18527254520928 19416655143192 23738044854939 25888873524256 26664653124726 31650726473252 35552870832968 38833310286384 47476089709878 53329306249452 63301452946504 71105741665936 77666620572768 94952179419756 106658612498904 126602905893008 142211483331872 189904358839512 213317224997808 253205811786016 324419946350833 379808717679024 426634449995616 648839892701666 759617435358048 973259839052499 1297679785403332 1946519678104998 2595359570806664 3893039356209996 5190719141613328 7786078712419992 10381438283226656 15572157424839984 31144314849679968
- Sum of all divisors σ(n): 85157919283506048
- Sum of proper divisors (its aliquot sum) s(n): 54013604433826080
- 31144314849679968 is an abundant number, because the sum of its proper divisors (54013604433826080) is greater than itself. Its abundance is 22869289584146112
Bases of 31144314849679968
- Binary: 11011101010010110010110110111110110001101011010011000002
- Hexadecimal: 0x6EA596DF635A60
- Base-36: 8INQKQ34AQO
Squares and roots of 31144314849679968
- 31144314849679968 squared (311443148496799682) is 969968347455996167759952020481024
- 31144314849679968 cubed (311443148496799683) is 30208999607393320258936327581194106941387816927232
-
The
square root of 31144314849679968 is 176477519.3889577767 -
The
cube root of 31144314849679968 is 314624.7815806895
Scales and comparisons
How big is 31144314849679968?- 31,144,314,849,679,968 seconds is equal to 990,292,876 years, 27 weeks, 3 days, 11 hours, 32 minutes, 48 seconds.
-
To count from 1 to 31,144,314,849,679,968 would take you about two billion, nine hundred seventy million, eight hundred seventy-eight thousand, six hundred twenty-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 31144314849679968 cubic inches would be around 26218.7 feet tall.
Recreational maths with 31144314849679968
- 31144314849679968 backwards is 86997694841344113
- The number of decimal digits it has is: 17
- The sum of 31144314849679968's digits is 87
- More coming soon!
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