13542341120064000
13,542,341,120,064,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13542341120064000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1560 divisors.
13542341120064000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, five hundred sixty divisors.
Prime factorization of 13542341120064000:
29 × 312 × 53 × 6312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 631 × 631)See below for interesting mathematical facts about the number 13542341120064000 from the Numbermatics database.
Names of 13542341120064000
- Cardinal: 13542341120064000 can be written as Thirteen quadrillion, five hundred forty-two trillion, three hundred forty-one billion, one hundred twenty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3542341120064 × 1016
Factors of 13542341120064000
Divisors of 13542341120064000
- Number of divisors d(n): 1560
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 576 600 631 640 648 675 720 729 750 768 800 810 864 900 960 972 1000 1080 1125 1152 1200 1215 1262 1280 1296 1350 1440 1458 1500 1536 1600 1620 1728 1800 1893 1920 1944 2000 2025 2160 2187 2250 2304 2400 2430 2524 2560 2592 2700 2880 2916 3000 3155 3200 3240 3375 3456 3600 3645 3786 3840 3888 4000 4050 4320 4374 4500 4608 4800 4860 5048 5184 5400 5679 5760 5832 6000 6075 6310 6400 6480 6561 6750 6912 7200 7290 7572 7680 7776 8000 8100 8640 8748 9000 9465 9600 9720 10096 10125 10368 10800 10935 11358 11520 11664 12000 12150 12620 12800 12960 13122 13500 13824 14400 14580 15144 15552 15775 16000 16200 17037 17280 17496 18000 18225 18930 19200 19440 19683 20192 20250 20736 21600 21870 22716 23040 23328 24000 24300 25240 25920 26244 27000 28395 28800 29160 30288 30375 31104 31550 32000 32400 32805 34074 34560 34992 36000 36450 37860 38400 38880 39366 40384 40500 41472 43200 43740 45432 46656 47325 48000 48600 50480 51111 51840 52488 54000 54675 56790 57600 58320 59049 60576 60750 62208 63100 64000 64800 65610 68148 69120 69984 72000 72900 75720 77760 78732 78875 80768 81000 85185 86400 87480 90864 91125 93312 94650 96000 97200 98415 100960 102222 103680 104976 108000 109350 113580 115200 116640 118098 121152 121500 124416 126200 129600 131220 136296 139968 141975 144000 145800 151440 153333 155520 157464 157750 161536 162000 164025 170370 172800 174960 177147 181728 182250 186624 189300 192000 194400 196830 201920 204444 207360 209952 216000 218700 227160 233280 236196 236625 242304 243000 252400 255555 259200 262440 272592 273375 279936 283950 288000 291600 295245 302880 306666 311040 314928 315500 323072 324000 328050 340740 345600 349920 354294 363456 364500 373248 378600 388800 393660 398161 403840 408888 419904 425925 432000 437400 454320 459999 466560 472392 473250 484608 486000 492075 504800 511110 518400 524880 531441 545184 546750 559872 567900 576000 583200 590490 605760 613332 622080 629856 631000 648000 656100 681480 699840 708588 709875 726912 729000 757200 766665 777600 787320 796322 807680 817776 820125 839808 851850 864000 874800 885735 908640 919998 933120 944784 946500 969216 972000 984150 1009600 1022220 1036800 1049760 1062882 1090368 1093500 1119744 1135800 1166400 1180980 1194483 1211520 1226664 1259712 1262000 1277775 1296000 1312200 1362960 1379997 1399680 1417176 1419750 1453824 1458000 1476225 1514400 1533330 1555200 1574640 1592644 1615360 1635552 1640250 1679616 1703700 1728000 1749600 1771470 1817280 1839996 1866240 1889568 1893000 1944000 1968300 1990805 2019200 2044440 2099520 2125764 2129625 2180736 2187000 2271600 2299995 2332800 2361960 2388966 2423040 2453328 2460375 2519424 2524000 2555550 2592000 2624400 2657205 2725920 2759994 2799360 2834352 2839500 2907648 2916000 2952450 3028800 3066660 3110400 3149280 3185288 3271104 3280500 3359232 3407400 3499200 3542940 3583449 3634560 3679992 3779136 3786000 3833325 3888000 3936600 3981610 4038400 4088880 4139991 4199040 4251528 4259250 4361472 4374000 4428675 4543200 4599990 4665600 4723920 4777932 4846080 4906656 4920750 5038848 5048000 5111100 5184000 5248800 5314410 5451840 5519988 5598720 5668704 5679000 5832000 5904900 5972415 6057600 6133320 6298560 6370576 6388875 6542208 6561000 6814800 6899985 6998400 7085880 7166898 7269120 7359984 7381125 7558272 7572000 7666650 7776000 7873200 7963220 8076800 8177760 8279982 8398080 8503056 8518500 8722944 8748000 8857350 9086400 9199980 9331200 9447840 9555864 9813312 9841500 9954025 10077696 10096000 10222200 10497600 10628820 10750347 10903680 11039976 11337408 11358000 11499975 11664000 11809800 11944830 12115200 12266640 12419973 12597120 12741152 12777750 13084416 13122000 13286025 13629600 13799970 13996800 14171760 14333796 14538240 14719968 14762250 15116544 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806276025 817776000 827998200 850305600 860027760 870778107 883198080 894238056 895862250 917362944 919998000 931497975 944784000 955586400 967531230 981331200 993597840 1019292160 1032033312 1034997750 1059837696 1062882000 1075034700 1090368000 1103997600 1117797570 1133740800 1146703680 1161037476 1177597440 1192317408 1194483000 1226664000 1241997300 1259712000 1274115200 1290041640 1324797120 1341357084 1343793375 1360488960 1376044416 1379997000 1417176000 1433379600 1451296845 1471996800 1490396760 1528938240 1548049968 1552496625 1589756544 1592644000 1612552050 1635552000 1655996400 1676696355 1700611200 1720055520 1741556214 1766396160 1788476112 1791724500 1834725888 1839996000 1862995950 1889568000 1911172800 1935062460 1962662400 1987195680 2064066624 2069995500 2119675392 2125764000 2150069400 2207995200 2235595140 2267481600 2293407360 2322074952 2384634816 2388966000 2418828075 2453328000 2483994600 2548230400 2580083280 2612334321 2649594240 2682714168 2687586750 2752088832 2759994000 2794493925 2834352000 2866759200 2902593690 2943993600 2980793520 3057876480 3096099936 3104993250 3179513088 3185288000 3225104100 3271104000 3311992800 3353392710 3401222400 3440111040 3483112428 3532792320 3576952224 3583449000 3679992000 3725991900 3779136000 3822345600 3870124920 3974391360 4031380125 4128133248 4139991000 4251528000 4300138800 4353890535 4415990400 4471190280 4586814720 4644149904 4657489875 4769269632 4777932000 4837656150 4906656000 4967989200 5096460800 5160166560 5224668642 5299188480 5365428336 5375173500 5504177664 5519988000 5588987850 5668704000 5733518400 5805187380 5887987200 5961587040 6192199872 6209986500 6359026176 6370576000 6450208200 6623985600 6706785420 6802444800 6880222080 6966224856 7153904448 7166898000 7256484225 7359984000 7451983800 7644691200 7740249840 7837002963 7948782720 8062760250 8256266496 8279982000 8383481775 8503056000 8600277600 8707781070 8831980800 8942380560 9173629440 9288299808 9314979750 9538539264 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34012224000 34401110400 34831124280 35769522240 36282421125 37153199232 37259919000 38223456000 38701249200 39185014815 39743913600 41281332480 41797349136 41917408875 42923426688 43001388000 43538905350 44159904000 44711902800 45868147200 46441499040 47022017778 47692696320 48376561500 49537598976 49679892000 51601665600 52246686420 52991884800 53654283360 55729798848 55889878500 57231235584 57335184000 58051873800 59615870400 61921998720 62696023704 64502082000 65308358025 66239856000 67067854200 68802220800 69662248560 70533026667 71539044480 72564842250 74306398464 74519838000 76446912000 77402498400 78370029630 79487827200 82562664960 83594698272 83834817750 85846853376 86002776000 87077810700 88319808000 89423805600 92882998080 94044035556 95385392640 96753123000 99359784000 103203331200 104493372840 107308566720 108847263375 111459597696 111779757000 114670368000 116103747600 117555044445 119231740800 123843997440 125392047408 129004164000 130616716050 132479712000 134135708400 137604441600 139324497120 141066053334 143078088960 145129684500 148612796928 149039676000 154804996800 156740059260 158975654400 167189396544 167669635500 171693706752 172005552000 174155621400 178847611200 185765996160 188088071112 193506246000 195925074075 198719568000 206406662400 208986745680 211599080001 214617133440 217694526750 222919195392 223559514000 229340736000 232207495200 235110088890 238463481600 247687994880 250784094816 258008328000 261233432100 264959424000 268271416800 278648994240 282132106668 286156177920 290259369000 298079352000 309609993600 313480118520 326541790125 334378793088 335339271000 344011104000 348311242800 352665133335 357695222400 371531992320 376176142224 387012492000 391850148150 397439136000 412813324800 417973491360 423198160002 429234266880 435389053500 445838390784 447119028000 464414990400 470220177780 476926963200 501568189632 516016656000 522466864200 536542833600 557297988480 564264213336 580518738000 587775222225 596158704000 619219987200 626960237040 653083580250 668757586176 670678542000 688022208000 696622485600 705330266670 715390444800 743063984640 752352284448 774024984000 783700296300 794878272000 835946982720 846396320004 858468533760 870778107000 894238056000 928829980800 940440355560 979625370375 1003136379264 1032033312000 1044933728400 1057995400005 1073085667200 1114595976960 1128528426672 1161037476000 1175550444450 1192317408000 1238439974400 1253920474080 1306167160500 1337515172352 1341357084000 1393244971200 1410660533340 1430780889600 1504704568896 1548049968000 1567400592600 1671893965440 1692792640008 1741556214000 1763325666675 1788476112000 1857659961600 1880880711120 1959250740750 2006272758528 2064066624000 2089867456800 2115990800010 2146171334400 2229191953920 2257056853344 2322074952000 2351100888900 2384634816000 2507840948160 2612334321000 2682714168000 2786489942400 2821321066680 2938876111125 3009409137792 3096099936000 3134801185200 3343787930880 3385585280016 3483112428000 3526651333350 3576952224000 3715319923200 3761761422240 3918501481500 4012545517056 4179734913600 4231981600020 4292342668800 4514113706688 4644149904000 4702201777800 5015681896320 5224668642000 5289977000025 5365428336000 5572979884800 5642642133360 5877752222250 6018818275584 6192199872000 6269602370400 6687575861760 6771170560032 6966224856000 7053302666700 7153904448000 7523522844480 7837002963000 8359469827200 8463963200040 8816628333375 9028227413376 9288299808000 9404403555600 10031363792640 10449337284000 10579954000050 10730856672000 11145959769600 11285284266720 11755504444500 12037636551168 12539204740800 13542341120064 13932449712000 14106605333400 15047045688960 15674005926000 16718939654400 16927926400080 17633256666750 18056454826752 18576599616000 18808807111200 20062727585280 20898674568000 21159908000100 21461713344000 22570568533440 23511008889000 25078409481600 26449885000125 27084682240128 27864899424000 28213210666800 30094091377920 31348011852000 33437879308800 33855852800160 35266513333500 36112909653504 37617614222400 41797349136000 42319816000200 45141137066880 47022017778000 50156818963200 52899770000250 54169364480256 55729798848000 56426421333600 60188182755840 62696023704000 67711705600320 70533026667000 75235228444800 83594698272000 84639632000400 90282274133760 94044035556000 100313637926400 105799540000500 108338728960512 112852842667200 125392047408000 135423411200640 141066053334000 150470456889600 167189396544000 169279264000800 180564548267520 188088071112000 211599080001000 225705685334400 250784094816000 270846822401280 282132106668000 300940913779200 338558528001600 376176142224000 423198160002000 451411370668800 501568189632000 541693644802560 564264213336000 677117056003200 752352284448000 846396320004000 902822741337600 1128528426672000 1354234112006400 1504704568896000 1692792640008000 2257056853344000 2708468224012800 3385585280016000 4514113706688000 6771170560032000 13542341120064000
- Sum of all divisors σ(n): 50733380550290724
- Sum of proper divisors (its aliquot sum) s(n): 37191039430226724
- 13542341120064000 is an abundant number, because the sum of its proper divisors (37191039430226724) is greater than itself. Its abundance is 23648698310162724
Bases of 13542341120064000
- Binary: 1100000001110010101111111111111110001101111010000000002
- Hexadecimal: 0x301CAFFFE37A00
- Base-36: 3PCCXMI0000
Squares and roots of 13542341120064000
- 13542341120064000 squared (135423411200640002) is 183395003012176274063364096000000
- 13542341120064000 cubed (135423411200640003) is 2483597690506055897129464364332482822144000000000
-
The
square root of 13542341120064000 is 116371564.9119835459 -
The
cube root of 13542341120064000 is 238358.8325838139
Scales and comparisons
How big is 13542341120064000?- 13,542,341,120,064,000 seconds is equal to 430,604,558 years, 21 weeks, 1 day.
-
To count from 1 to 13,542,341,120,064,000 would take you about one billion, two hundred ninety-one million, eight hundred thirteen thousand, six hundred seventy-five 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 13542341120064000 cubic inches would be around 19863.2 feet tall.
Recreational maths with 13542341120064000
- 13542341120064000 backwards is 00046002114324531
- 13542341120064000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13542341120064000's digits is 36
- More coming soon!
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"Number 13542341120064000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13542341120064000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13542341120064000/
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The information we have on file for 13542341120064000 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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