13528637291200
13,528,637,291,200 is an even composite number composed of seven prime numbers multiplied together.
13528637291200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13528637291200:
26 × 52 × 17 × 41 × 61 × 71 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 41 × 61 × 71 × 2801)See below for interesting mathematical facts about the number 13528637291200 from the Numbermatics database.
Names of 13528637291200
- Cardinal: 13528637291200 can be written as Thirteen trillion, five hundred twenty-eight billion, six hundred thirty-seven million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.35286372912 × 1013
Factors of 13528637291200
Divisors of 13528637291200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 41 50 61 64 68 71 80 82 85 100 122 136 142 160 164 170 200 205 244 272 284 305 320 328 340 355 400 410 425 488 544 568 610 656 680 697 710 800 820 850 976 1025 1037 1088 1136 1207 1220 1312 1360 1394 1420 1525 1600 1640 1700 1775 1952 2050 2074 2272 2414 2440 2501 2624 2720 2788 2801 2840 2911 3050 3280 3400 3485 3550 3904 4100 4148 4331 4544 4828 4880 5002 5185 5440 5576 5602 5680 5822 6035 6100 6560 6800 6970 7100 8200 8296 8662 9656 9760 10004 10370 11152 11204 11360 11644 12070 12200 12505 13120 13600 13940 14005 14200 14555 16400 16592 17324 17425 19312 19520 20008 20740 21655 22304 22408 22720 23288 24140 24400 25010 25925 27200 27880 28010 28400 29110 30175 32800 33184 34648 34850 38624 40016 41480 42517 43310 44608 44816 46576 47617 48280 48800 49487 50020 51850 55760 56020 56800 58220 60350 62525 65600 66368 69296 69700 70025 72775 73627 77248 80032 82960 85034 86620 89632 93152 95234 96560 97600 98974 100040 103700 108275 111520 112040 113600 114841 116440 120700 125050 138592 139400 140050 145550 147254 160064 165920 170068 170861 173240 177571 179264 186304 190468 193120 197948 198871 200080 207400 212585 216550 223040 224080 229682 232880 238085 241400 247435 250100 277184 278800 280100 291100 294508 331840 340136 341722 346480 355142 368135 380936 386240 395896 397742 400160 414800 425170 433100 448160 459364 465760 476170 482800 494870 500200 557600 560200 574205 582200 589016 680272 683444 692960 710284 736270 761872 791792 795484 800320 829600 850340 854305 866200 887855 896320 918728 931520 952340 965600 989740 994355 1000400 1062925 1115200 1120400 1148410 1164400 1178032 1190425 1237175 1360544 1366888 1385920 1420568 1472540 1523744 1583584 1590968 1659200 1700680 1708610 1732400 1775710 1837456 1840675 1904680 1931200 1952297 1979480 1988710 2000800 2125850 2240800 2296820 2328800 2356064 2380850 2474350 2721088 2733776 2841136 2871025 2904637 2945080 3018707 3047488 3167168 3181936 3380807 3401360 3417220 3464800 3551420 3674912 3681350 3809360 3904594 3958960 3977420 4001600 4251700 4271525 4439275 4481600 4593640 4657600 4712128 4761700 4948700 4971775 5467552 5682272 5742050 5809274 5890160 6037414 6363872 6761614 6802720 6834440 6929600 7005301 7102840 7349824 7362700 7618720 7809188 7917920 7954840 8153711 8503400 8543050 8878550 9187280 9523400 9761485 9897400 9943550 10935104 11364544 11484100 11618548 11780320 12074828 12131131 12727744 13523228 13605440 13668880 14010602 14205680 14523185 14725400 15093535 15237440 15618376 15835840 15909680 16307422 16904035 17006800 17086100 17757100 18374560 19046800 19522970 19794800 19887100 22968200 23237096 23560640 24149656 24262262 27046456 27337760 28021204 28411360 29046370 29450800 30187070 31236752 31819360 32614844 33808070 34013600 34172200 35026505 35514200 36749120 38093600 39045940 39589600 39774200 40768555 45936400 46474192 48299312 48524524 48807425 54092912 54675520 56042408 56822720 58092740 58901600 60374140 60655655 62473504 63638720 65229688 67616140 68027200 68344400 70053010 71028400 72615925 75467675 76187200 78091880 79179200 79548400 81537110 84520175 91872800 92948384 96598624 97049048 97614850 108185824 112084816 116185480 117803200 119090117 120748280 121311310 124947008 130459376 135232280 136688800 138613087 140106020 142056800 145231850 150935350 156183760 159096800 163074220 169040350 175132525 183745600 185896768 193197248 194098096 195229700 203842775 206229227 216371648 224169632 232370960 238180234 241496560 242622620 260918752 270464560 273377600 277226174 280212040 284113600 290463700 301870700 303278275 312367520 318193600 326148440 338080700 350265050 388196192 390459400 407685550 412458454 448339264 464741920 476360468 482993120 485245240 497376371 521837504 540929120 554452348 560424080 580927400 595450585 603741400 606556550 624735040 652296880 676161400 693065435 700530100 776392384 780918800 815371100 824916908 929483840 952720936 965986240 970490480 994752742 1031146135 1081858240 1108904696 1120848160 1161854800 1190901170 1207482800 1213113100 1304593760 1352322800 1386130870 1401060200 1561837600 1630742200 1649833816 1905441872 1940980960 1989505484 2062292270 2217809392 2241696320 2323709600 2381802340 2414965600 2426226200 2486881855 2609187520 2704645600 2772261740 2802120400 2977252925 3123675200 3261484400 3299667632 3465327175 3810883744 3881961920 3979010968 4124584540 4435618784 4647419200 4763604680 4829931200 4852452400 4973763710 5155730675 5409291200 5544523480 5604240800 5954505850 6522968800 6599335264 6930654350 7621767488 7958021936 8249169080 8455398307 8871237568 9527209360 9704904800 9947527420 10311461350 11089046960 11208481600 11909011700 12434409275 13045937600 13198670528 13861308700 15916043872 16498338160 16910796614 19054418720 19409809600 19895054840 20622922700 22178093920 23818023400 24868818550 27722617400 31832087744 32996676320 33821593228 38108837440 39790109680 41245845400 42276991535 44356187840 47636046800 49737637100 55445234800 65993352640 67643186456 79580219360 82491690800 84553983070 95272093600 99475274200 110890469600 135286372912 159160438720 164983381600 169107966140 190544187200 198950548400 211384957675 221780939200 270572745824 329966763200 338215932280 397901096800 422769915350 541145491648 676431864560 795802193600 845539830700 1352863729120 1691079661400 2705727458240 3382159322800 6764318645600 13528637291200
- Sum of all divisors σ(n): 37228841951616
- Sum of proper divisors (its aliquot sum) s(n): 23700204660416
- 13528637291200 is an abundant number, because the sum of its proper divisors (23700204660416) is greater than itself. Its abundance is 10171567369216
Bases of 13528637291200
- Binary: 110001001101111000011001111010111010110000002
- Hexadecimal: 0xC4DE19EBAC0
- Base-36: 4SMYXCDZ4
Squares and roots of 13528637291200
- 13528637291200 squared (135286372912002) is 183024026956847273597440000
- 13528637291200 cubed (135286372912003) is 2476065676273998078773375960854528000000
-
The
square root of 13528637291200 is 3678129.5914091991 -
The
cube root of 13528637291200 is 23827.8405055711
Scales and comparisons
How big is 13528637291200?- 13,528,637,291,200 seconds is equal to 430,168 years, 42 weeks, 4 days, 3 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,528,637,291,200 would take you about one million, seventy-five thousand, four hundred twenty-two 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 13528637291200 cubic inches would be around 1985.7 feet tall.
Recreational maths with 13528637291200
- 13528637291200 backwards is 00219273682531
- The number of decimal digits it has is: 14
- The sum of 13528637291200's digits is 49
- More coming soon!
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