13312826304000
13,312,826,304,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13312826304000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
13312826304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13312826304000:
29 × 3 × 53 × 29 × 97 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 97 × 157 × 157)See below for interesting mathematical facts about the number 13312826304000 from the Numbermatics database.
Names of 13312826304000
- Cardinal: 13312826304000 can be written as Thirteen trillion, three hundred twelve billion, eight hundred twenty-six million, three hundred four thousand.
Scientific notation
- Scientific notation: 1.3312826304 × 1013
Factors of 13312826304000
Divisors of 13312826304000
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 97 100 116 120 125 128 145 150 157 160 174 192 194 200 232 240 250 256 290 291 300 314 320 348 375 384 388 400 435 464 471 480 485 500 512 580 582 600 628 640 696 725 750 768 776 785 800 870 928 942 960 970 1000 1160 1164 1200 1256 1280 1392 1450 1455 1500 1536 1552 1570 1600 1740 1856 1884 1920 1940 2000 2175 2320 2328 2355 2400 2425 2512 2560 2784 2813 2900 2910 3000 3104 3140 3200 3480 3625 3712 3768 3840 3880 3925 4000 4350 4553 4640 4656 4710 4800 4850 5024 5568 5626 5800 5820 6000 6208 6280 6400 6960 7250 7275 7424 7536 7680 7760 7850 8000 8439 8700 9106 9280 9312 9420 9600 9700 10048 10875 11136 11252 11600 11640 11775 12000 12125 12416 12560 12800 13659 13920 14065 14500 14550 14848 15072 15229 15520 15700 16000 16878 17400 18212 18560 18624 18840 19200 19400 19625 20096 21750 22272 22504 22765 23200 23280 23550 24000 24250 24649 24832 25120 27318 27840 28130 29000 29100 30144 30458 31040 31400 32000 33756 34800 36375 36424 37120 37248 37680 38400 38800 39250 40192 42195 43500 44544 45008 45530 45687 46400 46560 47100 48000 48500 49298 49664 50240 54636 55680 56260 58000 58200 58875 60288 60916 62080 62800 64000 67512 68295 69600 70325 72750 72848 73947 74240 74496 75360 76145 77600 78500 80384 84390 87000 90016 91060 91374 92800 93120 94200 96000 97000 98596 100480 109272 111360 112520 113825 116000 116400 117750 120576 121832 123245 124160 125600 135024 136590 139200 140650 145500 145696 147894 148992 150720 152290 155200 157000 168780 174000 180032 182120 182748 185600 186240 188400 192000 194000 197192 200960 210975 218544 222720 225040 227650 228435 232000 232800 235500 241152 243664 246490 248320 251200 270048 273180 278400 281300 291000 291392 295788 301440 304580 310400 314000 337560 341475 348000 351625 360064 364240 365496 369735 371200 372480 376800 380725 388000 394384 401920 421950 437088 441641 450080 455300 456870 464000 465600 471000 487328 492980 502400 540096 546360 556800 562600 569125 582000 582784 591576 602880 609160 616225 620800 628000 675120 682950 696000 703250 714821 720128 728480 730992 739470 744960 753600 761450 776000 788768 843900 874176 883282 900160 910600 913740 928000 931200 942000 974656 985960 1004800 1054875 1080192 1092720 1113600 1125200 1138250 1142175 1164000 1165568 1183152 1205760 1218320 1232450 1241600 1256000 1324923 1350240 1365900 1392000 1406500 1429642 1440256 1456960 1461984 1478940 1507200 1522900 1552000 1577536 1687800 1707375 1748352 1766564 1800320 1821200 1827480 1848675 1856000 1862400 1884000 1903625 1949312 1971920 2009600 2109750 2144463 2160384 2185440 2208205 2250400 2276500 2284350 2328000 2331136 2366304 2390953 2436640 2464900 2512000 2649846 2700480 2731800 2784000 2813000 2859284 2913920 2923968 2957880 3014400 3045800 3081125 3104000 3155072 3375600 3414750 3496704 3533128 3574105 3600640 3642400 3654960 3697350 3724800 3768000 3807250 3898624 3943840 4219500 4288926 4320768 4370880 4416410 4500800 4553000 4568700 4656000 4732608 4781906 4873280 4929800 5024000 5299692 5400960 5463600 5568000 5626000 5710875 5718568 5827840 5847936 5915760 6028800 6091600 6162250 6208000 6310144 6624615 6751200 6829500 6993408 7066256 7148210 7172859 7201280 7284800 7309920 7394700 7536000 7614500 7797248 7887680 8439000 8577852 8741760 8832820 9001600 9106000 9137400 9243375 9312000 9465216 9563812 9746560 9859600 10048000 10599384 10722315 10801920 10927200 11041025 11252000 11421750 11437136 11655680 11695872 11831520 11954765 12183200 12324500 12620288 13249230 13502400 13659000 14132512 14296420 14345718 14569600 14619840 14789400 15072000 15229000 15775360 16878000 17155704 17483520 17665640 17870525 18003200 18212000 18274800 18486750 18624000 18930432 19127624 19493120 19719200 21198768 21444630 21603840 21854400 22082050 22504000 22843500 22874272 23391744 23663040 23909530 24366400 24649000 26498460 27004800 27318000 28265024 28592840 28691436 29139200 29239680 29578800 30144000 30458000 31550720 33123075 33756000 34311408 34967040 35331280 35741050 35864295 36006400 36424000 36549600 36973500 37860864 38255248 38986240 39438400 42397536 42889260 43708800 44164100 45008000 45687000 45748544 47326080 47819060 48732800 49298000 52996920 53611575 54009600 54636000 55205125 56530048 57185680 57382872 58278400 58479360 59157600 59773825 60916000 63101440 66246150 67512000 68622816 69337637 70662560 71482100 71728590 72848000 73099200 73947000 76510496 78876800 84795072 85778520 87417600 88328200 89352625 90016000 91374000 91497088 94652160 95638120 97465600 98596000 105993840 107223150 108019200 109272000 110410250 113060096 114371360 114765744 116958720 118315200 119547650 121832000 132492300 135024000 137245632 138675274 141325120 142964200 143457180 145696000 146198400 147894000 153020992 157753600 165615375 169590144 171557040 174835200 176656400 178705250 179321475 180032000 182748000 182994176 189304320 191276240 194931200 197192000 208012911 211987680 214446300 218544000 220820500 226120192 228742720 229531488 236630400 239095300 243664000 264984600 268057875 270048000 274491264 277350548 282650240 285928400 286914360 291392000 292396800 295788000 298869125 306041984 315507200 331230750 339180288 343114080 346688185 353312800 357410500 358642950 365496000 365988352 382552480 394384000 416025822 423975360 428892600 437088000 441641000 457485440 459062976 473260800 478190600 487328000 529969200 536115750 540096000 548982528 554701096 565300480 571856800 573828720 584793600 591576000 597738250 612083968 662461500 678360576 686228160 693376370 706625600 714821000 717285900 730992000 765104960 788768000 832051644 847950720 857785200 874176000 883282000 896607375 914970880 918125952 946521600 956381200 974656000 1040064555 1059938400 1072231500 1097965056 1109402192 1130600960 1143713600 1147657440 1183152000 1195476500 1224167936 1324923000 1372456320 1386752740 1413251200 1429642000 1434571800 1461984000 1530209920 1577536000 1664103288 1695901440 1715570400 1733440925 1766564000 1793214750 1829941760 1836251904 1912762400 2080129110 2119876800 2144463000 2218804384 2287427200 2295314880 2366304000 2390953000 2649846000 2744912640 2773505480 2826502400 2859284000 2869143600 2923968000 3060419840 3328206576 3391802880 3431140800 3466881850 3533128000 3586429500 3672503808 3825524800 4160258220 4239753600 4288926000 4437608768 4574854400 4590629760 4732608000 4781906000 5200322775 5299692000 5489825280 5547010960 5653004800 5718568000 5738287200 6120839680 6656413152 6862281600 6933763700 7066256000 7172859000 7651049600 8320516440 8479507200 8577852000 8667204625 8875217536 9149708800 9181259520 9563812000 10400645550 10599384000 11094021920 11437136000 11476574400 13312826304 13724563200 13867527400 14132512000 14345718000 15302099200 16641032880 16959014400 17155704000 17334409250 17750435072 18362519040 19127624000 20801291100 21198768000 22188043840 22874272000 22953148800 26001613875 26625652608 27449126400 27735054800 28265024000 28691436000 30604198400 33282065760 34311408000 34668818500 35500870144 38255248000 41602582200 42397536000 44376087680 45748544000 45906297600 52003227750 53251305216 55470109600 57382872000 66564131520 68622816000 69337637000 76510496000 83205164400 84795072000 88752175360 91812595200 104006455500 106502610432 110940219200 114765744000 133128263040 137245632000 138675274000 153020992000 166410328800 177504350720 208012911000 221880438400 229531488000 266256526080 277350548000 332820657600 416025822000 443760876800 459062976000 532513052160 554701096000 665641315200 832051644000 887521753600 1109402192000 1331282630400 1664103288000 2218804384000 2662565260800 3328206576000 4437608768000 6656413152000 13312826304000
- Sum of all divisors σ(n): 46556658308160
- Sum of proper divisors (its aliquot sum) s(n): 33243832004160
- 13312826304000 is an abundant number, because the sum of its proper divisors (33243832004160) is greater than itself. Its abundance is 19931005700160
Bases of 13312826304000
- Binary: 110000011011101000100100100001100110000000002
- Hexadecimal: 0xC1BA2486600
- Base-36: 4PVTT1YIO
Squares and roots of 13312826304000
- 13312826304000 squared (133128263040002) is 177231344200474300416000000
- 13312826304000 cubed (133128263040003) is 2359450100965352115854122942464000000000
-
The
square root of 13312826304000 is 3648674.5955209543 -
The
cube root of 13312826304000 is 23700.4589061739
Scales and comparisons
How big is 13312826304000?- 13,312,826,304,000 seconds is equal to 423,306 years, 36 weeks, 1 day, 18 hours, 40 minutes.
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To count from 1 to 13,312,826,304,000 would take you about one million, fifty-eight thousand, two hundred sixty-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 13312826304000 cubic inches would be around 1975 feet tall.
Recreational maths with 13312826304000
- 13312826304000 backwards is 00040362821331
- The number of decimal digits it has is: 14
- The sum of 13312826304000's digits is 33
- More coming soon!
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The information we have on file for 13312826304000 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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