13007494145606400
13,007,494,145,606,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13007494145606400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
13007494145606400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13007494145606400:
28 × 32 × 52 × 11 × 37 × 421 × 757 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 37 × 421 × 757 × 1741)See below for interesting mathematical facts about the number 13007494145606400 from the Numbermatics database.
Names of 13007494145606400
- Cardinal: 13007494145606400 can be written as Thirteen quadrillion, seven trillion, four hundred ninety-four billion, one hundred forty-five million, six hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.30074941456064 × 1016
Factors of 13007494145606400
Divisors of 13007494145606400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 37 40 44 45 48 50 55 60 64 66 72 74 75 80 88 90 96 99 100 110 111 120 128 132 144 148 150 160 165 176 180 185 192 198 200 220 222 225 240 256 264 275 288 296 300 320 330 333 352 360 370 384 396 400 407 421 440 444 450 480 495 528 550 555 576 592 600 640 660 666 704 720 740 757 768 792 800 814 825 842 880 888 900 925 960 990 1056 1100 1110 1152 1184 1200 1221 1263 1280 1320 1332 1408 1440 1480 1514 1584 1600 1628 1650 1665 1684 1741 1760 1776 1800 1850 1920 1980 2035 2105 2112 2200 2220 2271 2304 2368 2400 2442 2475 2526 2640 2664 2775 2816 2880 2960 3028 3168 3200 3256 3300 3330 3368 3482 3520 3552 3600 3663 3700 3785 3789 3840 3960 4070 4210 4224 4400 4440 4542 4631 4736 4800 4884 4950 5052 5223 5280 5328 5550 5760 5920 6056 6105 6315 6336 6400 6512 6600 6660 6736 6813 6964 7040 7104 7200 7326 7400 7570 7578 7920 8140 8325 8327 8420 8448 8705 8800 8880 9084 9262 9472 9600 9768 9900 10104 10175 10446 10525 10560 10656 11100 11355 11520 11840 12112 12210 12630 12672 13024 13200 13320 13472 13626 13893 13928 14080 14208 14400 14652 14800 15140 15156 15577 15669 15840 16280 16650 16654 16840 17410 17600 17760 18168 18315 18524 18925 18945 19151 19200 19536 19800 20208 20350 20892 21050 21120 21312 22200 22710 23155 23680 24224 24420 24981 25260 25344 26048 26115 26400 26640 26944 27252 27786 27856 28009 28416 28800 29304 29600 30280 30312 30525 31154 31338 31575 31680 32560 33300 33308 33680 34065 34820 35200 35520 36336 36630 37048 37850 37890 38302 39072 39600 40416 40700 41635 41679 41784 42100 42240 42624 43525 44400 45420 46310 46731 47360 48448 48840 49962 50520 52096 52230 52800 53280 53888 54504 55572 55712 56018 56775 57453 57600 58608 59200 60560 60624 61050 62308 62676 63150 63360 64417 65120 66600 66616 67360 68130 69465 69640 70400 71040 72672 73260 74096 74943 75700 75780 76604 77885 78144 78345 79200 80832 81400 83270 83358 83568 84027 84200 85248 87050 88800 90840 91575 92620 93462 94725 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249042583680 249683164650 257472172320 260347747200 266328708960 268483614300 274651481115 278348294400 280878733440 286382521920 292961579856 298851100416 305168312350 307942569735 308966606784 311303229600 312087481600 312417296640 319594450752 321840215400 328472074384 332910886200 339603523200 343296229760 343659026304 351098416800 355104945280 357978152400 366201974820 369531083682 373563875520 381843362560 386208258480 390521620800 390615439808 399493063440 410590092980 411955475712 415070972800 417522441600 426125934336 429120287200 429573782880 439442369784 443881181600 451649102278 457752468525 464404089600 466954844400 468131222400 477304203200 482760323100 488269299760 492708111576 498085167360 499366329300 513237616225 514944344640 520695494400 532657417920 536967228600 549302962230 561757466880 572765043840 585923159712 610336624700 615885139470 617933213568 622606459200 639188901504 643680430800 656944148768 665821772400 677473653417 679207046400 686592459520 687318052608 702196833600 710209890560 715956304800 732403949640 739062167364 747127751040 772416516960 781043241600 781230879616 798986126880 821180185960 830141945600 835044883200 858240574400 859147565760 878884739568 887762363200 903298204556 915504937050 923827709205 933909688800 936262444800 954608406400 965520646200 976538599520 985416223152 998732658600 1026475232450 1029888689280 1065314835840 1073934457200 1098605924460 1129122755695 1145530087680 1171846319424 1220673249400 1231770278940 1235866427136 1245212918400 1278377803008 1287360861600 1313888297536 1331643544800 1354947306834 1373257405575 1404393667200 1431912609600 1464807899280 1478124334728 1494255502080 1539712848675 1544833033920 1562086483200 1562461759232 1597972253760 1642360371920 1716481148800 1718295131520 1757769479136 1775524726400 1806596409112 1831009874100 1847655418410 1867819377600 1909216812800 1931041292400 1953077199040 1970832446304 1997465317200 2032420960251 2052950464900 2059777378560 2130629671680 2147868914400 2197211848920 2258245511390 2343692638848 2441346498800 2463540557880 2490425836800 2574721723200 2627776595072 2663287089600 2709894613668 2746514811150 2808787334400 2863825219200 2929615798560 2956248669456 3079425697350 3089666067840 3195944507520 3284720743840 3387368267085 3432962297600 3436590263040 3515538958272 3551049452800 3613192818224 3662019748200 3695310836820 3735638755200 3862082584800 3906154398080 3941664892608 3994930634400 4064841920502 4105900929800 4295737828800 4394423697840 4516491022780 4619138546025 4687385277696 4882692997600 4927081115760 5149443446400 5255553190144 5326574179200 5419789227336 5493029622300 5645613778475 5727650438400 5859231597120 5912497338912 6158851394700 6179332135680 6391889015040 6569441487680 6774736534170 7031077916544 7226385636448 7324039496400 7390621673640 7471277510400 7724165169600 7812308796160 7883329785216 7989861268800 8129683841004 8211801859600 8591475657600 8788847395680 9032982045560 9238277092050 9765385995200 9854162231520 10162104801255 10298886892800 10653148358400 10839578454672 10986059244600 11291227556950 11718463194240 11824994677824 12317702789400 13138882975360 13549473068340 14062155833088 14452771272896 14648078992800 14781243347280 15448330339200 15766659570432 15979722537600 16259367682008 16423603719200 16936841335425 17182951315200 17577694791360 18065964091120 18476554184100 19530771990400 19708324463040 20324209602510 21679156909344 21972118489200 22582455113900 23436926388480 23649989355648 24635405578800 26277765950720 27098946136680 28905542545792 29296157985600 29562486694560 30896660678400 31959445075200 32518735364016 32847207438400 33873682670850 35155389582720 36131928182240 36953108368200 39061543980800 39416648926080 40648419205020 43358313818688 43944236978400 45164910227800 47299978711296 49270811157600 50810524006275 54197892273360 57811085091584 58592315971200 59124973389120 65037470728032 65694414876800 67747365341700 70310779165440 72263856364480 73906216736400 78833297852160 81296838410040 86716627637376 87888473956800 90329820455600 98541622315200 101621048012550 108395784546720 117184631942400 118249946778240 130074941456064 131388829753600 135494730683400 144527712728960 147812433472800 162593676820080 173433255274752 175776947913600 180659640911200 197083244630400 203242096025100 216791569093440 236499893556480 260149882912128 270989461366800 289055425457920 295624866945600 325187353640160 351553895827200 361319281822400 394166489260800 406484192050200 433583138186880 520299765824256 541978922733600 591249733891200 650374707280320 722638563644800 812968384100400 867166276373760 1083957845467200 1182499467782400 1300749414560640 1445277127289600 1625936768200800 2167915690934400 2601498829121280 3251873536401600 4335831381868800 6503747072803200 13007494145606400
- Sum of all divisors σ(n): 52326368605108416
- Sum of proper divisors (its aliquot sum) s(n): 39318874459502016
- 13007494145606400 is an abundant number, because the sum of its proper divisors (39318874459502016) is greater than itself. Its abundance is 26311380313895616
Bases of 13007494145606400
- Binary: 1011100011011000111111001110111111011110000011000000002
- Hexadecimal: 0x2E363F3BF78300
- Base-36: 3K2RSBEQWW0
Squares and roots of 13007494145606400
- 13007494145606400 squared (130074941456064002) is 169194903947984769924423720960000
- 13007494145606400 cubed (130074941456064003) is 2200801722569849069095171607368484323590144000000
-
The
square root of 13007494145606400 is 114050401.7774878337 -
The
cube root of 13007494145606400 is 235178.6427709155
Scales and comparisons
How big is 13007494145606400?- 13,007,494,145,606,400 seconds is equal to 413,598,079 years, 3 days, 8 hours.
-
To count from 1 to 13,007,494,145,606,400 would take you about one billion, two hundred forty million, seven hundred ninety-four thousand, two hundred thirty-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 13007494145606400 cubic inches would be around 19598.2 feet tall.
Recreational maths with 13007494145606400
- 13007494145606400 backwards is 00460654149470031
- The number of decimal digits it has is: 17
- The sum of 13007494145606400's digits is 54
- More coming soon!
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"Number 13007494145606400 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13007494145606400 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13007494145606400/
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The information we have on file for 13007494145606400 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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