14132589669504000
14,132,589,669,504,000 is an even composite number composed of six prime numbers multiplied together.
14132589669504000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 14132589669504000:
210 × 32 × 53 × 457 × 1061 × 25301
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 457 × 1061 × 25301)See below for interesting mathematical facts about the number 14132589669504000 from the Numbermatics database.
Names of 14132589669504000
- Cardinal: 14132589669504000 can be written as Fourteen quadrillion, one hundred thirty-two trillion, five hundred eighty-nine billion, six hundred sixty-nine million, five hundred four thousand.
Scientific notation
- Scientific notation: 1.4132589669504 × 1016
Factors of 14132589669504000
Divisors of 14132589669504000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 457 480 500 512 576 600 640 720 750 768 800 900 914 960 1000 1024 1061 1125 1152 1200 1280 1371 1440 1500 1536 1600 1800 1828 1920 2000 2122 2250 2285 2304 2400 2560 2742 2880 3000 3072 3183 3200 3600 3656 3840 4000 4113 4244 4500 4570 4608 4800 5120 5305 5484 5760 6000 6366 6400 6855 7200 7312 7680 8000 8226 8488 9000 9140 9216 9549 9600 10610 10968 11425 11520 12000 12732 12800 13710 14400 14624 15360 15915 16000 16452 16976 18000 18280 19098 19200 20565 21220 21936 22850 23040 24000 25301 25464 25600 26525 27420 28800 29248 31830 32000 32904 33952 34275 36000 36560 38196 38400 41130 42440 43872 45700 46080 47745 48000 50602 50928 53050 54840 57125 57600 58496 63660 64000 65808 67904 68550 72000 73120 75903 76392 76800 79575 82260 84880 87744 91400 95490 96000 101204 101856 102825 106100 109680 114250 115200 116992 126505 127320 128000 131616 132625 135808 137100 144000 146240 151806 152784 159150 164520 169760 171375 175488 182800 190980 192000 202408 203712 205650 212200 219360 227709 228500 230400 233984 238725 253010 254640 263232 265250 271616 274200 288000 292480 303612 305568 318300 329040 339520 342750 350976 365600 379515 381960 384000 397875 404816 407424 411300 424400 438720 455418 457000 467968 477450 484877 506020 509280 514125 526464 530500 543232 548400 576000 584960 607224 611136 632525 636600 658080 679040 685500 701952 731200 759030 763920 795750 809632 814848 822600 848800 877440 910836 914000 954900 969754 1012040 1018560 1028250 1052928 1061000 1086464 1096800 1138545 1152000 1169920 1193625 1214448 1222272 1265050 1273200 1316160 1358080 1371000 1403904 1454631 1462400 1518060 1527840 1591500 1619264 1629696 1645200 1697600 1754880 1821672 1828000 1897575 1909800 1939508 2024080 2037120 2056500 2105856 2122000 2193600 2277090 2339840 2387250 2424385 2428896 2444544 2530100 2546400 2632320 2716160 2742000 2909262 2924800 3036120 3055680 3162625 3183000 3238528 3259392 3290400 3395200 3509760 3643344 3656000 3795150 3819600 3879016 4048160 4074240 4113000 4211712 4244000 4363893 4387200 4554180 4774500 4848770 4857792 4889088 5060200 5092800 5264640 5432320 5484000 5692725 5818524 5849600 6072240 6111360 6325250 6366000 6477056 6580800 6790400 7019520 7273155 7286688 7312000 7590300 7639200 7758032 8096320 8148480 8226000 8488000 8727786 8774400 9108360 9487875 9549000 9697540 9715584 9778176 10120400 10185600 10529280 10968000 11385450 11562557 11637048 11699200 12121925 12144480 12222720 12650500 12732000 12954112 13161600 13580800 14546310 14573376 14624000 15180600 15278400 15516064 16192640 16296960 16452000 16976000 17455572 17548800 18216720 18975750 19098000 19395080 19431168 20240800 20371200 21058560 21819465 21936000 22770900 23125114 23274096 24243850 24288960 24445440 25301000 25464000 25908224 26323200 26844361 27161600 28463625 29092620 29146752 29248000 30361200 30556800 31032128 32385280 32904000 33952000 34687671 34911144 35097600 36365775 36433440 37951500 38196000 38790160 38862336 40481600 40742400 43638930 43872000 45541800 46250228 46548192 48487700 48577920 48890880 50602000 50928000 52646400 53688722 56927250 57812785 58185240 58293504 58496000 60609625 60722400 61113600 62064256 64770560 65808000 67904000 69375342 69822288 72731550 72866880 75903000 76392000 77580320 77724672 80533083 80963200 81484800 87277860 87744000 91083600 92500456 93096384 96975400 97155840 101204000 101856000 104063013 105292800 107377444 109097325 113854500 115625570 116370480 116587008 121219250 121444800 122227200 124128512 129541120 131616000 134221805 135808000 138750684 139644576 145463100 145733760 151806000 152784000 155160640 161066166 161926400 173438355 174555720 175488000 181828875 182167200 185000912 186192768 193950800 194311680 202408000 203712000 208126026 214754888 218194650 227709000 231251140 232740960 233174016 241599249 242438500 242889600 244454400 248257024 263232000 268443610 277501368 279289152 289063925 290926200 291467520 303612000 305568000 310321280 322132332 323852800 346876710 349111440 363657750 364334400 370001824 372385536 387901600 388623360 402665415 404816000 407424000 416252052 429509776 436389300 455418000 462502280 465481920 483198498 484877000 485779200 496514048 520315065 526464000 536887220 545486625 555002736 558578304 578127850 581852400 582935040 607224000 611136000 620642560 644264664 647705600 671109025 693753420 698222880 727315500 728668800 740003648 744771072 775803200 805330830 809632000 832504104 859019552 867191775 872778600 910836000 925004560 930963840 966396996 969754000 971558400 1040630130 1073774440 1090973250 1110005472 1117156608 1156255700 1163704800 1165870080 1207996245 1214448000 1222272000 1241285120 1288529328 1342218050 1387506840 1396445760 1445319625 1454631000 1457337600 1480007296 1489542144 1551606400 1610661660 1619264000 1665008208 1718039104 1734383550 1745557200 1821672000 1850009120 1861927680 1932793992 1939508000 1943116800 2013327075 2081260260 2147548880 2181946500 2220010944 2234313216 2312511400 2327409600 2415992490 2428896000 2482570240 2577058656 2601575325 2684436100 2775013680 2792891520 2890639250 2909262000 2914675200 2960014592 3103212800 3221323320 3238528000 3330016416 3355545125 3436078208 3468767100 3491114400 3643344000 3700018240 3723855360 3865587984 3879016000 4026654150 4162520520 4295097760 4335958875 4363893000 4440021888 4468626432 4625022800 4654819200 4831984980 4857792000 5154117312 5203150650 5368872200 5550027360 5585783040 5781278500 5818524000 5829350400 5920029184 6039981225 6206425600 6442646640 6660032832 6711090250 6872156416 6937534200 6982228800 7286688000 7400036480 7447710720 7731175968 7758032000 8053308300 8325041040 8590195520 8671917750 8727786000 8880043776 9250045600 9309638400 9663969960 9715584000 10066635375 10308234624 10406301300 10737744400 11100054720 11171566080 11562557000 11637048000 11840058368 12079962450 12267872977 12412851200 12885293280 13007876625 13320065664 13422180500 13744312832 13875068400 13964457600 14573376000 14800072960 15462351936 15516064000 16106616600 16650082080 17180391040 17343835500 17455572000 17760087552 18500091200 18619276800 19327939920 20133270750 20616469248 20812602600 21475488800 22200109440 22343132160 23125114000 23274096000 24159924900 24535745954 25770586560 26015753250 26640131328 26844361000 27488625664 27750136800 27928915200 29146752000 29600145920 30199906125 30924703872 31032128000 32213233200 33300164160 34360782080 34687671000 34911144000 35520175104 36803618931 37000182400 37238553600 38655879840 40266541500 41232938496 41625205200 42950977600 44400218880 46250228000 46548192000 48319849800 49071491908 51541173120 52031506500 53280262656 53688722000 55500273600 55857830400 59200291840 60399812250 61339364885 61849407744 62064256000 64426466400 66600328320 68721564160 69375342000 69822288000 73607237862 74000364800 77311759680 80533083000 82465876992 83250410400 85901955200 88800437760 92500456000 93096384000 96639699600 98142983816 103082346240 104063013000 106560525312 107377444000 110410856793 111000547200 111715660800 120799624500 122678729770 123698815488 128852932800 133200656640 137443128320 138750684000 139644576000 147214475724 148000729600 154623519360 161066166000 166500820800 171803910400 177600875520 184018094655 185000912000 186192768000 193279399200 196285967632 206164692480 208126026000 214754888000 220821713586 222001094400 241599249000 245357459540 247397630976 257705865600 266401313280 277501368000 279289152000 294428951448 296001459200 306696824425 309247038720 322132332000 333001641600 343607820800 368036189310 370001824000 386558798400 392571935264 412329384960 416252052000 429509776000 441643427172 444002188800 483198498000 490714919080 515411731200 532802626560 552054283965 555002736000 558578304000 588857902896 613393648850 618494077440 644264664000 666003283200 687215641600 736072378620 740003648000 773117596800 785143870528 832504104000 859019552000 883286854344 888004377600 920090473275 966396996000 981429838160 1030823462400 1104108567930 1110005472000 1177715805792 1226787297700 1236988154880 1288529328000 1332006566400 1472144757240 1480007296000 1533484122125 1546235193600 1570287741056 1665008208000 1718039104000 1766573708688 1840180946550 1932793992000 1962859676320 2061646924800 2208217135860 2220010944000 2355431611584 2453574595400 2577058656000 2664013132800 2760271419825 2944289514480 3066968244250 3092470387200 3140575482112 3330016416000 3436078208000 3533147417376 3680361893100 3865587984000 3925719352640 4416434271720 4440021888000 4600452366375 4710863223168 4907149190800 5154117312000 5520542839650 5888579028960 6133936488500 6184940774400 6281150964224 6660032832000 7066294834752 7360723786200 7731175968000 7851438705280 8832868543440 9200904732750 9421726446336 9814298381600 10308234624000 11041085679300 11777158057920 12267872977000 12562301928448 13320065664000 13801357099125 14132589669504 14721447572400 15462351936000 15702877410560 17665737086880 18401809465500 18843452892672 19628596763200 22082171358600 23554316115840 24535745954000 27602714198250 28265179339008 29442895144800 30924703872000 31405754821120 35331474173760 36803618931000 37686905785344 39257193526400 44164342717200 47108632231680 49071491908000 55205428396500 56530358678016 58885790289600 62811509642240 70662948347520 73607237862000 78514387052800 88328685434400 94217264463360 98142983816000 110410856793000 113060717356032 117771580579200 141325896695040 147214475724000 157028774105600 176657370868800 188434528926720 196285967632000 220821713586000 235543161158400 282651793390080 294428951448000 314057548211200 353314741737600 392571935264000 441643427172000 471086322316800 565303586780160 588857902896000 706629483475200 785143870528000 883286854344000 942172644633600 1177715805792000 1413258966950400 1570287741056000 1766573708688000 2355431611584000 2826517933900800 3533147417376000 4710863223168000 7066294834752000 14132589669504000
- Sum of all divisors σ(n): 51089380844535072
- Sum of proper divisors (its aliquot sum) s(n): 36956791175031072
- 14132589669504000 is an abundant number, because the sum of its proper divisors (36956791175031072) is greater than itself. Its abundance is 22824201505527072
Bases of 14132589669504000
- Binary: 1100100011010110000011111100110000000111010100000000002
- Hexadecimal: 0x323583F301D400
- Base-36: 3V5L22CKJK0
Squares and roots of 14132589669504000
- 14132589669504000 squared (141325896695040002) is 199730090766571179947606016000000
- 14132589669504000 cubed (141325896695040003) is 2822703417456740114027028617697442136064000000000
-
The
square root of 14132589669504000 is 118880568.9316130419 -
The
cube root of 14132589669504000 is 241772.6940913519
Scales and comparisons
How big is 14132589669504000?- 14,132,589,669,504,000 seconds is equal to 449,372,636 years, 27 weeks, 8 hours.
-
To count from 1 to 14,132,589,669,504,000 would take you about one billion, three hundred forty-eight million, one hundred seventeen thousand, nine hundred nine 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 14132589669504000 cubic inches would be around 20147.7 feet tall.
Recreational maths with 14132589669504000
- 14132589669504000 backwards is 00040596698523141
- The number of decimal digits it has is: 17
- The sum of 14132589669504000's digits is 63
- More coming soon!
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The information we have on file for 14132589669504000 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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