31828736133691840
31,828,736,133,691,840 is an even composite number composed of six prime numbers multiplied together.
31828736133691840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 31828736133691840:
26 × 5 × 7 × 17 × 19 × 43991508367
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 19 × 43991508367)See below for interesting mathematical facts about the number 31828736133691840 from the Numbermatics database.
Names of 31828736133691840
- Cardinal: 31828736133691840 can be written as Thirty-one quadrillion, eight hundred twenty-eight trillion, seven hundred thirty-six billion, one hundred thirty-three million, six hundred ninety-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 3.182873613369184 × 1016
Factors of 31828736133691840
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 43991508417
Divisors of 31828736133691840
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 28 32 34 35 38 40 56 64 68 70 76 80 85 95 112 119 133 136 140 152 160 170 190 224 238 266 272 280 304 320 323 340 380 448 476 532 544 560 595 608 646 665 680 760 952 1064 1088 1120 1190 1216 1292 1330 1360 1520 1615 1904 2128 2240 2261 2380 2584 2660 2720 3040 3230 3808 4256 4522 4760 5168 5320 5440 6080 6460 7616 8512 9044 9520 10336 10640 11305 12920 18088 19040 20672 21280 22610 25840 36176 38080 42560 45220 51680 72352 90440 103360 144704 180880 361760 723520 43991508367 87983016734 175966033468 219957541835 307940558569 351932066936 439915083670 615881117138 703864133872 747855642239 835838658973 879830167340 1231762234276 1407728267744 1495711284478 1539702792845 1671677317946 1759660334680 2463524468552 2815456535488 2991422568956 3079405585690 3343354635892 3519320669360 3739278211195 4179193294865 4927048937104 5234989495673 5850870612811 5982845137912 6158811171380 6686709271784 7038641338720 7478556422390 8358386589730 9854097874208 10469978991346 11701741225622 11965690275824 12317622342760 13373418543568 14077282677440 14209257202541 14957112844780 16716773179460 19708195748416 20939957982692 23403482451244 23931380551648 24635244685520 26174947478365 26746837087136 28418514405082 29254353064055 29914225689560 33433546358920 41879915965384 46806964902488 47862761103296 49270489371040 52349894956730 53493674174272 56837028810164 58508706128110 59828451379120 66867092717840 71046286012705 83759831930768 93613929804976 98540978742080 99464800417787 104699789913460 113674057620328 117017412256220 119656902758240 133734185435680 142092572025410 167519663861536 187227859609952 198929600835574 209399579826920 227348115240656 234034824512440 239313805516480 267468370871360 284185144050820 335039327723072 374455719219904 397859201671148 418799159653840 454696230481312 468069649024880 497324002088935 568370288101640 795718403342296 837598319307680 909392460962624 936139298049760 994648004177870 1136740576203280 1591436806684592 1675196638615360 1872278596099520 1989296008355740 2273481152406560 3182873613369184 3978592016711480 4546962304813120 6365747226738368 7957184033422960 15914368066845920 31828736133691840
- Sum of all divisors σ(n): 96542004604078080
- Sum of proper divisors (its aliquot sum) s(n): 64713268470386240
- 31828736133691840 is an abundant number, because the sum of its proper divisors (64713268470386240) is greater than itself. Its abundance is 32884532336694400
Bases of 31828736133691840
- Binary: 11100010001010000010001000111101110010111111001110000002
- Hexadecimal: 0x7114111EE5F9C0
- Base-36: 8PECFISDWHS
Squares and roots of 31828736133691840
- 31828736133691840 squared (318287361336918402) is 1013068443868180579301988082585600
- 31828736133691840 cubed (318287361336918403) is 32244688185250122765603822054911962220540821504000
-
The
square root of 31828736133691840 is 178406098.9251540135 -
The
cube root of 31828736133691840 is 316912.8126966083
Scales and comparisons
How big is 31828736133691840?- 31,828,736,133,691,840 seconds is equal to 1,012,055,356 years, 15 weeks, 6 days, 12 hours, 10 minutes, 40 seconds.
-
To count from 1 to 31,828,736,133,691,840 would take you about three billion, thirty-six million, one hundred sixty-six thousand and sixty-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 31828736133691840 cubic inches would be around 26409.4 feet tall.
Recreational maths with 31828736133691840
- 31828736133691840 backwards is 04819633163782813
- The number of decimal digits it has is: 17
- The sum of 31828736133691840's digits is 73
- More coming soon!
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