12338381990949300
12,338,381,990,949,300 is an even composite number composed of six prime numbers multiplied together.
12338381990949300 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 12338381990949300:
22 × 33 × 52 × 11 × 13 × 31956441313
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 31956441313)See below for interesting mathematical facts about the number 12338381990949300 from the Numbermatics database.
Names of 12338381990949300
- Cardinal: 12338381990949300 can be written as Twelve quadrillion, three hundred thirty-eight trillion, three hundred eighty-one billion, nine hundred ninety million, nine hundred forty-nine thousand, three hundred.
Scientific notation
- Scientific notation: 1.23383819909493 × 1016
Factors of 12338381990949300
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 31956441347
Divisors of 12338381990949300
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 25 26 27 30 33 36 39 44 45 50 52 54 55 60 65 66 75 78 90 99 100 108 110 117 130 132 135 143 150 156 165 180 195 198 220 225 234 260 270 275 286 297 300 325 330 351 390 396 429 450 468 495 540 550 572 585 594 650 660 675 702 715 780 825 858 900 975 990 1100 1170 1188 1287 1300 1350 1404 1430 1485 1650 1716 1755 1950 1980 2145 2340 2475 2574 2700 2860 2925 2970 3300 3510 3575 3861 3900 4290 4950 5148 5850 5940 6435 7020 7150 7425 7722 8580 8775 9900 10725 11700 12870 14300 14850 15444 17550 19305 21450 25740 29700 32175 35100 38610 42900 64350 77220 96525 128700 193050 386100 31956441313 63912882626 95869323939 127825765252 159782206565 191738647878 287607971817 319564413130 351520854443 383477295756 415433737069 479346619695 575215943634 639128826260 703041708886 798911032825 830867474138 862823915451 958693239390 1054562563329 1150431887268 1246301211207 1406083417772 1438039859085 1597822065650 1661734948276 1725647830902 1757604272215 1917386478780 2077168685345 2109125126658 2396733098475 2492602422414 2876079718170 3163687689987 3195644131300 3451295661804 3515208544430 3738903633621 4154337370690 4218250253316 4314119577255 4569771107759 4793466196950 4985204844828 5272812816645 5752159436340 6231506056035 6327375379974 7030417088860 7190199295425 7477807267242 8308674741380 8628239154510 8788021361075 9139542215518 9491063069961 9586932393900 10385843426725 10545625633290 11216710900863 12463012112070 12654750759948 13709313323277 14380398590850 14955614534484 15818438449935 17256478309020 17576042722150 18279084431036 18694518168105 18982126139922 20771686853450 21091251266580 21570597886275 22433421801726 22848855538795 24926024224140 26364064083225 27418626646554 28760797181700 31157530280175 31636876899870 35152085444300 37389036336210 37964252279844 41127939969831 41543373706900 43141195772550 44866843603452 45697711077590 47455315349805 52728128166450 54837253293108 56083554504315 62315060560350 63273753799740 68546566616385 74778072672420 79092192249675 82255879939662 86282391545100 91395422155180 93472590840525 94910630699610 105456256332900 112167109008630 114244277693975 123383819909493 124630121120700 137093133232770 158184384499350 164511759879324 186945181681050 189821261399220 205639699849155 224334218017260 228488555387950 237276576749025 246767639818986 274186266465540 280417772521575 316368768998700 342732833081925 373890363362100 411279399698310 456977110775900 474553153498050 493535279637972 560835545043150 616919099547465 685465666163850 822558799396620 949106306996100 1028198499245775 1121671090086300 1233838199094930 1370931332327700 2056396998491550 2467676398189860 3084595497737325 4112793996983100 6169190995474650 12338381990949300
- Sum of all divisors σ(n): 46600160981727360
- Sum of proper divisors (its aliquot sum) s(n): 34261778990778060
- 12338381990949300 is an abundant number, because the sum of its proper divisors (34261778990778060) is greater than itself. Its abundance is 21923396999828760
Bases of 12338381990949300
- Binary: 1010111101010110110001011010111010110001110001101101002
- Hexadecimal: 0x2BD5B16BAC71B4
- Base-36: 3DHLAFPTTX0
Squares and roots of 12338381990949300
- 12338381990949300 squared (123383819909493002) is 152235670154582012147115170490000
- 12338381990949300 cubed (123383819909493003) is 1878341851015392536331671754160851906446157000000
-
The
square root of 12338381990949300 is 111078269.6613036911 -
The
cube root of 12338381990949300 is 231074.8805607733
Scales and comparisons
How big is 12338381990949300?- 12,338,381,990,949,300 seconds is equal to 392,322,382 years, 9 weeks, 6 days, 11 hours, 15 minutes.
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To count from 1 to 12,338,381,990,949,300 would take you about one billion, one hundred seventy-six million, nine hundred sixty-seven thousand, one hundred forty-six 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 12338381990949300 cubic inches would be around 19256.2 feet tall.
Recreational maths with 12338381990949300
- 12338381990949300 backwards is 00394909918383321
- The number of decimal digits it has is: 17
- The sum of 12338381990949300's digits is 72
- More coming soon!
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