13495348506816000
13,495,348,506,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13495348506816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13495348506816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13495348506816000:
29 × 32 × 53 × 11 × 43 × 1093 × 45319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 43 × 1093 × 45319)See below for interesting mathematical facts about the number 13495348506816000 from the Numbermatics database.
Names of 13495348506816000
- Cardinal: 13495348506816000 can be written as Thirteen quadrillion, four hundred ninety-five trillion, three hundred forty-eight billion, five hundred six million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3495348506816 × 1016
Factors of 13495348506816000
Divisors of 13495348506816000
- Number of divisors d(n): 1920
-
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 40 43 44 45 48 50 55 60 64 66 72 75 80 86 88 90 96 99 100 110 120 125 128 129 132 144 150 160 165 172 176 180 192 198 200 215 220 225 240 250 256 258 264 275 288 300 320 330 344 352 360 375 384 387 396 400 430 440 450 473 480 495 500 512 516 528 550 576 600 640 645 660 688 704 720 750 768 774 792 800 825 860 880 900 946 960 990 1000 1032 1056 1075 1093 1100 1125 1152 1200 1280 1290 1320 1375 1376 1408 1419 1440 1500 1536 1548 1584 1600 1650 1720 1760 1800 1892 1920 1935 1980 2000 2064 2112 2150 2186 2200 2250 2304 2365 2400 2475 2560 2580 2640 2750 2752 2816 2838 2880 3000 3096 3168 3200 3225 3279 3300 3440 3520 3600 3784 3840 3870 3960 4000 4125 4128 4224 4257 4300 4372 4400 4500 4608 4730 4800 4950 5160 5280 5375 5465 5500 5504 5632 5676 5760 6000 6192 6336 6400 6450 6558 6600 6880 7040 7095 7200 7568 7680 7740 7920 8000 8250 8256 8448 8514 8600 8744 8800 9000 9460 9600 9675 9837 9900 10320 10560 10750 10930 11000 11008 11352 11520 11825 12000 12023 12375 12384 12672 12800 12900 13116 13200 13760 14080 14190 14400 15136 15480 15840 16000 16125 16395 16500 16512 16896 17028 17200 17488 17600 18000 18920 19200 19350 19674 19800 20640 21120 21285 21500 21860 22000 22016 22704 23040 23650 24000 24046 24750 24768 25344 25800 26232 26400 27325 27520 28160 28380 28800 30272 30960 31680 32000 32250 32790 33000 33024 34056 34400 34976 35200 35475 36000 36069 37840 38400 38700 39348 39600 41280 42240 42570 43000 43720 44000 45319 45408 46999 47300 48000 48092 48375 49185 49500 49536 50688 51600 52464 52800 54650 55040 56760 57600 59125 60115 60544 61920 63360 64000 64500 65580 66000 66048 68112 68800 69952 70400 70950 72000 72138 75680 77400 78696 79200 81975 82560 84480 85140 86000 87440 88000 90638 90816 93998 94600 96000 96184 96750 98370 99000 99072 103200 104928 105600 106425 108207 109300 110080 113520 115200 118250 120230 121088 123840 126720 129000 131160 132000 135957 136224 136625 137600 139904 140800 140997 141900 144000 144276 151360 154800 157392 158400 163950 165120 170280 172000 174880 176000 177375 180345 181276 181632 187996 189200 192000 192368 193500 196740 198000 198144 206400 209856 211200 212850 216414 218600 226595 227040 234995 236500 240460 242176 245925 247680 253440 258000 262320 264000 271914 272448 273250 275200 279808 281994 283800 288000 288552 300575 302720 309600 314784 316800 327900 330240 340560 344000 349760 352000 354750 360690 362552 363264 375992 378400 384736 387000 393480 396000 407871 409875 412800 419712 422400 422991 425700 432828 437200 453190 454080 469990 473000 480920 491850 495360 498509 516000 516989 524640 528000 532125 541035 543828 544896 546500 550400 559616 563988 567600 576000 577104 601150 605440 619200 629568 633600 655800 679785 681120 688000 699520 704000 704985 709500 721380 725104 726528 751984 756800 769472 774000 786960 792000 815742 819750 825600 839424 845982 851400 865656 874400 901725 906380 908160 939980 946000 961840 983700 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4508625 4511904 4531900 4540800 4616832 4652901 4699900 4809200 4918500 4953600 4985090 5036544 5169890 5246400 5410350 5438280 5448960 5639880 5664875 5676000 5771040 5800832 5846151 5874875 5982108 6011500 6015872 6054400 6155776 6192000 6203868 6295680 6336000 6525936 6558000 6767856 6797850 6811200 6925248 6995200 7049850 7213800 7251040 7477635 7519840 7568000 7694720 7754835 7794868 7869600 7976144 8157420 8256000 8271824 8394240 8459820 8514000 8656560 8701248 8744000 8973162 9017250 9023808 9063800 9081600 9233664 9305802 9399800 9618400 9743585 9837000 9970180 10196775 10339780 10492800 10574775 10820700 10876560 10897920 11279760 11329750 11352000 11542080 11601664 11692302 11749750 11964216 12023000 12031744 12384000 12407736 12462725 12591360 12924725 13051872 13116000 13525875 13535712 13595700 13622400 13850496 13990400 14099700 14427600 14502080 14955270 15039680 15136000 15389440 15509670 15589736 15739200 15952288 16314840 16543648 16919640 16994625 17028000 17313120 17402496 17488000 17538453 17624625 17946324 18034500 18047616 18127600 18163200 18467328 18611604 18799600 19236800 19487170 19674000 19940360 20393550 20679560 20985600 21149550 21435887 21641400 21753120 22432905 22559520 22659500 22704000 23084160 23203328 23264505 23384604 23499500 23928432 24046000 24063488 24768000 24815472 24925450 25182720 25849450 26103744 26232000 27051750 27071424 27191400 27244800 27700992 28199400 28855200 29004160 29230755 29910540 30079360 30272000 30778880 31019340 31179472 31478400 31904576 32629680 33087296 33839280 33989250 34056000 34626240 34804992 34976000 35076906 35249250 35892648 36069000 36095232 36255200 37223208 37388175 37599200 38473600 38774175 38974340 39348000 39880720 40787100 41359120 41971200 42299100 42871774 43282800 43506240 44865810 45119040 45319000 45408000 46168320 46529010 46769208 46999000 47856864 48092000 48717925 49533667 49630944 49850900 50983875 51698900 52207488 52464000 52873875 54103500 54142848 54382800 54489600 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351441367365 356642402400 374153664000 374870791856 380418562560 383390582580 385845966000 392306642640 396269336000 408652752750 408949954752 411569030400 418460418816 421729640838 425989536200 435896269600 445803003000 468588489820 475523203200 479238228225 490383303300 493882836480 511187443440 514461288000 523075523520 532486920250 544870337000 545266606336 561230496000 562306187784 570627843840 585735612275 594404004000 612979129125 613424932128 617353545600 627690628224 634030937600 638984304300 653844404400 681583257920 685948384000 697434031360 702882734730 713284804800 749741583712 766781165160 771691932000 784613285280 792538672000 798730380375 817305505500 817899909504 823138060800 836920837632 843459281676 851979072400 871792539200 891606006000 937176979640 951046406400 958476456450 980766606600 1022374886880 1028922576000 1046151047040 1054324102095 1064973840500 1089740674000 1090533212672 1122460992000 1124612375568 1141255687680 1171471224550 1188808008000 1225958258250 1226849864256 1234707091200 1255381256448 1277968608600 1307688808800 1363166515840 1371896768000 1394868062720 1405765469460 1426569609600 1499483167424 1533562330320 1543383864000 1569226570560 1585077344000 1597460760750 1634611011000 1635799819008 1686918563352 1703958144800 1743585078400 1757206836825 1783212012000 1874353959280 1902092812800 1916952912900 1961533213200 2044749773760 2057845152000 2092302094080 2108648204190 2129947681000 2179481348000 2249224751136 2342942449100 2377616016000 2396191141125 2451916516500 2453699728512 2469414182400 2510762512896 2555937217200 2615377617600 2726333031680 2811530938920 2853139219200 2928678061375 2998966334848 3067124660640 3086767728000 3138453141120 3170154688000 3194921521500 3269222022000 3271599638016 3373837126704 3407916289600 3487170156800 3514413673650 3566424024000 3748707918560 3833905825800 3923066426400 4089499547520 4115690304000 4184604188160 4217296408380 4259895362000 4358962696000 4498449502272 4685884898200 4755232032000 4792382282250 4903833033000 4907399457024 5111874434400 5230755235200 5271620510475 5452666063360 5623061877840 5706278438400 5857356122750 5997932669696 6134249321280 6173535456000 6276906282240 6389843043000 6538444044000 6747674253408 6815832579200 6974340313600 7028827347300 7132848048000 7497415837120 7667811651600 7846132852800 8178999095040 8434592816760 8519790724000 8717925392000 8786034184125 8996899004544 9371769796400 9510464064000 9584764564500 9807666066000 9814798914048 10223748868800 10461510470400 10543241020950 11246123755680 11714712245500 11995865339392 12268498642560 12347070912000 12553812564480 12779686086000 13076888088000 13495348506816 13631665158400 14057654694600 14265696096000 14994831674240 15335623303200 15692265705600 16357998190080 16869185633520 17039581448000 17435850784000 17572068368250 17993798009088 18743539592800 19169529129000 19615332132000 20447497737600 20923020940800 21086482041900 22492247511360 23429424491000 24536997285120 25559372172000 26153776176000 26358102552375 26990697013632 27263330316800 28115309389200 28531392192000 29989663348480 30671246606400 31384531411200 33738371267040 34079162896000 34871701568000 35144136736500 35987596018176 37487079185600 38339058258000 39230664264000 40894995475200 42172964083800 44984495022720 46858848982000 49073994570240 51118744344000 52307552352000 52716205104750 53981394027264 56230618778400 59979326696960 61342493212800 62769062822400 67476742534080 68158325792000 70288273473000 74974158371200 76678116516000 78461328528000 81789990950400 84345928167600 89968990045440 93717697964000 102237488688000 104615104704000 105432410209500 107962788054528 112461237556800 122684986425600 134953485068160 136316651584000 140576546946000 149948316742400 153356233032000 156922657056000 168691856335200 179937980090880 187435395928000 204474977376000 210864820419000 224922475113600 245369972851200 269906970136320 281153093892000 299896633484800 306712466064000 313845314112000 337383712670400 374870791856000 408949954752000 421729640838000 449844950227200 539813940272640 562306187784000 613424932128000 674767425340800 749741583712000 843459281676000 899689900454400 1124612375568000 1226849864256000 1349534850681600 1499483167424000 1686918563352000 2249224751136000 2699069701363200 3373837126704000 4498449502272000 6747674253408000 13495348506816000
- Sum of all divisors σ(n): 54310616179522560
- Sum of proper divisors (its aliquot sum) s(n): 40815267672706560
- 13495348506816000 is an abundant number, because the sum of its proper divisors (40815267672706560) is greater than itself. Its abundance is 27319919165890560
Bases of 13495348506816000
- Binary: 1011111111000111110010101011011101111001101110000000002
- Hexadecimal: 0x2FF1F2ADDE6E00
- Base-36: 3OVP9ILDVK0
Squares and roots of 13495348506816000
- 13495348506816000 squared (134953485068160002) is 182124431320420840798457856000000
- 13495348506816000 cubed (134953485068160003) is 2457832672274754537118195480165104746496000000000
-
The
square root of 13495348506816000 is 116169481.8221033471 -
The
cube root of 13495348506816000 is 238082.8073012447
Scales and comparisons
How big is 13495348506816000?- 13,495,348,506,816,000 seconds is equal to 429,110,338 years, 34 weeks, 3 days, 8 hours.
-
To count from 1 to 13,495,348,506,816,000 would take you about one billion, two hundred eighty-seven million, three hundred thirty-one thousand and fifteen 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 13495348506816000 cubic inches would be around 19840.2 feet tall.
Recreational maths with 13495348506816000
- 13495348506816000 backwards is 00061860584359431
- The number of decimal digits it has is: 17
- The sum of 13495348506816000's digits is 63
- More coming soon!
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MLA style:
"Number 13495348506816000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13495348506816000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13495348506816000/
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Numbermatics. 2024. "Number 13495348506816000 - Facts about the integer". https://numbermatics.com/n/13495348506816000/
The information we have on file for 13495348506816000 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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