13582134008934400
13,582,134,008,934,400 is an even composite number composed of six prime numbers multiplied together.
13582134008934400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 13582134008934400:
212 × 52 × 72 × 132 × 1072 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 13 × 13 × 107 × 107 × 1399)See below for interesting mathematical facts about the number 13582134008934400 from the Numbermatics database.
Names of 13582134008934400
- Cardinal: 13582134008934400 can be written as Thirteen quadrillion, five hundred eighty-two trillion, one hundred thirty-four billion, eight million, nine hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.35821340089344 × 1016
Factors of 13582134008934400
Divisors of 13582134008934400
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 107 112 128 130 140 160 169 175 182 196 200 208 214 224 245 256 260 280 320 325 338 350 364 392 400 416 428 448 455 490 512 520 535 560 637 640 650 676 700 728 749 784 800 832 845 856 896 910 980 1024 1040 1070 1120 1183 1225 1274 1280 1300 1352 1391 1399 1400 1456 1498 1568 1600 1664 1690 1712 1792 1820 1960 2048 2080 2140 2240 2275 2366 2450 2548 2560 2600 2675 2704 2782 2798 2800 2912 2996 3136 3185 3200 3328 3380 3424 3584 3640 3745 3920 4096 4160 4225 4280 4480 4550 4732 4900 5096 5120 5200 5243 5350 5408 5564 5596 5600 5824 5915 5992 6272 6370 6400 6656 6760 6848 6955 6995 7168 7280 7490 7840 8281 8320 8450 8560 8960 9100 9464 9737 9793 9800 10192 10240 10400 10486 10700 10816 11128 11192 11200 11449 11648 11830 11984 12544 12740 12800 13312 13520 13696 13910 13990 14336 14560 14980 15680 15925 16562 16640 16900 17120 17920 18083 18187 18200 18725 18928 19474 19586 19600 20384 20480 20800 20972 21400 21632 22256 22384 22400 22898 23296 23660 23968 25088 25480 25600 26215 26624 27040 27392 27820 27980 28672 29120 29575 29960 31360 31850 33124 33280 33800 34240 34775 34975 35840 36166 36374 36400 37450 37856 38948 39172 39200 40768 41405 41600 41944 42800 43264 44512 44768 44800 45796 46592 47320 47936 48685 48965 50176 50960 51200 52430 53248 54080 54784 55640 55960 57245 58240 59150 59920 62720 63700 66248 66560 67600 68159 68480 68551 69550 69950 71680 72332 72748 72800 74900 75712 77896 78344 78400 80143 81536 82810 83200 83888 85600 86528 89024 89536 89600 90415 90935 91592 93184 94640 95872 97370 97930 100352 101920 102400 104860 108160 109568 111280 111920 114490 116480 118300 119840 125440 126581 127309 127400 131075 132496 133120 135200 136318 136960 137102 139100 139900 143360 144664 145496 145600 148837 149693 149800 151424 155792 156688 156800 160286 163072 165620 166400 167776 171200 173056 178048 179072 179200 180830 181870 183184 186368 189280 191744 194740 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13859320417280 14925421987840 15158631706400 15866978982400 16073531371520 16324680299200 16977667511168 17324150521600 18133690265600 18656777484800 19403048584192 20091914214400 20895590782976 21222084388960 21322031411200 24253810730240 25387166371840 26119488478720 26527605486200 27718640834560 29850843975680 30317263412800 31733957964800 32649360598400 33955335022336 34648301043200 37313554969600 38806097168384 40183828428800 41791181565952 42444168777920 48507621460480 52238976957440 53055210972400 55437281669120 60634526825600 63467915929600 65298721196800 67910670044672 69296602086400 74627109939200 77612194336768 80367656857600 84888337555840 97015242920960 104477953914880 106110421944800 121269053651200 126935831859200 130597442393600 135821340089344 138593204172800 149254219878400 169776675111680 194030485841920 208955907829760 212220843889600 242538107302400 261194884787200 271642680178688 277186408345600 339553350223360 388060971683840 424441687779200 485076214604800 522389769574400 543285360357376 679106700446720 848883375558400 970152429209600 1044779539148800 1358213400893440 1697766751116800 1940304858419200 2716426801786880 3395533502233600 6791067004467200 13582134008934400
- Sum of all divisors σ(n): 42854626477189800
- Sum of proper divisors (its aliquot sum) s(n): 29272492468255400
- 13582134008934400 is an abundant number, because the sum of its proper divisors (29272492468255400) is greater than itself. Its abundance is 15690358459321000
Bases of 13582134008934400
- Binary: 1100000100000011100001000000001110010011110000000000002
- Hexadecimal: 0x3040E100E4F000
- Base-36: 3PQGQ84M0HS
Squares and roots of 13582134008934400
- 13582134008934400 squared (135821340089344002) is 184474364236652436099023503360000
- 13582134008934400 cubed (135821340089344003) is 2505555536275188858359322016868085828419584000000
-
The
square root of 13582134008934400 is 116542412.9187927875 -
The
cube root of 13582134008934400 is 238592.0692485607
Scales and comparisons
How big is 13582134008934400?- 13,582,134,008,934,400 seconds is equal to 431,869,849 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,582,134,008,934,400 would take you about one billion, two hundred ninety-five million, six hundred nine thousand, five hundred forty-seven 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 13582134008934400 cubic inches would be around 19882.7 feet tall.
Recreational maths with 13582134008934400
- 13582134008934400 backwards is 00443980043128531
- The number of decimal digits it has is: 17
- The sum of 13582134008934400's digits is 55
- More coming soon!
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The information we have on file for 13582134008934400 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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