134842327580016640
134,842,327,580,016,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 134842327580016640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
134842327580016640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 134842327580016640:
219 × 5 × 172 × 192 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 17 × 19 × 19 × 79 × 79 × 79)See below for interesting mathematical facts about the number 134842327580016640 from the Numbermatics database.
Names of 134842327580016640
- Cardinal: 134842327580016640 can be written as One hundred thirty-four quadrillion, eight hundred forty-two trillion, three hundred twenty-seven billion, five hundred eighty million, sixteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3484232758001664 × 1017
Factors of 134842327580016640
Divisors of 134842327580016640
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 79 80 85 95 128 136 152 158 160 170 190 256 272 289 304 316 320 323 340 361 380 395 512 544 578 608 632 640 646 680 722 760 790 1024 1088 1156 1216 1264 1280 1292 1343 1360 1444 1445 1501 1520 1580 1615 1805 2048 2176 2312 2432 2528 2560 2584 2686 2720 2888 2890 3002 3040 3160 3230 3610 4096 4352 4624 4864 5056 5120 5168 5372 5440 5491 5776 5780 6004 6080 6137 6241 6320 6460 6715 7220 7505 8192 8704 9248 9728 10112 10240 10336 10744 10880 10982 11552 11560 12008 12160 12274 12482 12640 12920 13430 14440 15010 16384 17408 18496 19456 20224 20480 20672 21488 21760 21964 22831 23104 23120 24016 24320 24548 24964 25280 25517 25840 26860 27455 28519 28880 30020 30685 31205 32768 34816 36992 38912 40448 40960 41344 42976 43520 43928 45662 46208 46240 48032 48640 49096 49928 50560 51034 51680 53720 54910 57038 57760 60040 61370 62410 65536 69632 73984 77824 80896 81920 82688 85952 87040 87856 91324 92416 92480 96064 97280 98192 99856 101120 102068 103360 104329 106097 107440 109820 114076 114155 115520 118579 120080 122740 124820 127585 131072 139264 142595 147968 155648 161792 163840 165376 171904 174080 175712 182648 184832 184960 192128 194560 196384 199712 202240 204136 206720 208658 212194 214880 219640 228152 228310 231040 237158 240160 245480 249640 255170 262144 278528 285190 295936 311296 323584 327680 330752 343808 348160 351424 365296 369664 369920 384256 389120 392768 399424 404480 408272 413440 417316 424388 429760 433789 439280 456304 456620 462080 474316 480320 484823 490960 493039 499280 510340 521645 524288 530485 557056 570380 591872 592895 622592 647168 655360 661504 687616 696320 702848 730592 739328 739840 768512 778240 785536 798848 808960 816544 826880 834632 848776 859520 867578 878560 912608 913240 924160 948632 960640 969646 981920 986078 998560 1020680 1043290 1060970 1114112 1140760 1183744 1185790 1245184 1294336 1310720 1323008 1375232 1392640 1405696 1461184 1478656 1479680 1537024 1556480 1571072 1597696 1617920 1633088 1653760 1669264 1697552 1719040 1735156 1757120 1803649 1825216 1826480 1848320 1897264 1921280 1939292 1963840 1972156 1997120 2015843 2041360 2086580 2121940 2168945 2228224 2253001 2281520 2367488 2371580 2424115 2465195 2490368 2588672 2621440 2646016 2750464 2785280 2811392 2922368 2957312 2959360 3074048 3112960 3142144 3195392 3235840 3266176 3307520 3338528 3395104 3438080 3470312 3514240 3607298 3650432 3652960 3696640 3794528 3842560 3878584 3927680 3944312 3994240 4031686 4082720 4173160 4243880 4337890 4456448 4506002 4563040 4734976 4743160 4848230 4930390 4980736 5177344 5292032 5500928 5570560 5622784 5844736 5914624 5918720 6148096 6225920 6284288 6390784 6471680 6532352 6615040 6677056 6790208 6876160 6940624 7028480 7214596 7300864 7305920 7393280 7589056 7685120 7757168 7855360 7888624 7988480 8063372 8165440 8241991 8346320 8381663 8487760 8675780 8912896 9012004 9018245 9126080 9367741 9469952 9486320 9696460 9860780 9961472 10079215 10354688 10584064 11001856 11141120 11245568 11265005 11689472 11829248 11837440 12296192 12451840 12568576 12781568 12943360 13064704 13230080 13354112 13580416 13752320 13881248 14056960 14429192 14601728 14611840 14786560 15178112 15370240 15514336 15710720 15777248 15976960 16126744 16330880 16483982 16692640 16763326 16975520 17351560 18024008 18036490 18252160 18735482 18939904 18972640 19392920 19721560 20158430 20709376 21168128 22003712 22282240 22491136 22530010 23378944 23658496 23674880 24592384 24903680 25137152 25563136 25886720 26129408 26460160 26708224 27160832 27504640 27762496 28113920 28858384 29203456 29223680 29573120 30356224 30740480 31028672 31421440 31554496 31953920 32253488 32661760 32967964 33385280 33526652 33951040 34269331 34703120 36048016 36072980 36504320 37470964 37879808 37945280 38301017 38785840 39443120 40316860 41209955 41418752 41908315 42336256 44007424 44564480 44982272 45060020 46757888 46838705 47316992 47349760 49184768 49807360 50274304 51126272 51773440 52258816 52920320 53416448 54321664 55009280 55524992 56227840 57716768 58406912 58447360 59146240 60712448 61480960 62057344 62842880 63108992 63907840 64506976 65323520 65935928 66770560 67053304 67902080 68538662 69406240 72096032 72145960 73008640 74941928 75759616 75890560 76602034 77571680 78886240 80633720 82419910 83816630 84672512 88014848 89964544 90120040 93515776 93677410 94633984 94699520 98369536 100548608 102252544 103546880 104517632 105840640 106832896 108643328 110018560 111049984 112455680 115433536 116813824 116894720 118292480 121424896 122961920 124114688 125685760 126217984 127815680 129013952 130647040 131871856 133541120 134106608 135804160 137077324 138812480 142488271 144192064 144291920 146017280 149883856 151519232 151781120 153204068 155143360 157772480 159251597 161267440 164839820 167633260 169345024 171346655 176029696 177987079 179929088 180240080 187031552 187354820 189267968 189399040 191505085 196739072 201097216 204505088 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34331291648 34765864960 35091794944 35535994880 36476997376 36913168384 36938731520 37380423680 38370267136 38855966720 39220241408 39716700160 40389754880 40768408832 41284464640 41671506496 42198993920 42914114560 43316434384 43864743680 45564692224 45596246720 46141460480 47962833920 48412485488 49025301760 50960511040 51438265831 52089383120 54145542980 54698442752 55625383936 56857591808 56955865280 59101970432 59850096640 60515606860 62169546752 63546720256 64623607808 66055143424 66891284480 67518390272 68373053440 68662583296 69531729920 70183589888 71071989760 72953994752 73826336768 73877463040 74760847360 76740534272 77711933440 78440482816 79433400320 80779509760 81536817664 82568929280 83343012992 84397987840 85828229120 86632868768 87729487360 91129384448 91192493440 92282920960 95925667840 96824970976 98050603520 101921022080 102876531662 104178766240 108291085960 113715183616 113911730560 118203940864 121031213720 127093440512 129247215616 132110286848 135036780544 136746106880 137325166592 139063459840 140367179776 142143979520 145907989504 147652673536 147754926080 153481068544 155423866880 156880965632 158866800640 161559019520 163073635328 165137858560 166686025984 168795975680 171656458240 173265737536 175458974720 182258768896 182384986880 184565841920 191851335680 193649941952 196101207040 203842044160 205753063324 208357532480 216582171920 227430367232 227823461120 236407881728 242062427440 254186881024 257191329155 258494431232 264220573696 270073561088 273492213760 274650333184 278126919680 280734359552 284287959040 291815979008 295305347072 295509852160 306962137088 310847733760 313761931264 317733601280 323118039040 326147270656 330275717120 333372051968 337591951360 343312916480 346531475072 350917949440 364517537792 364769973760 369131683840 383702671360 387299883904 392202414080 407684088320 411506126648 416715064960 433164343840 455646922240 472815763456 484124854880 514382658310 528441147392 540147122176 549300666368 561468719104 568575918080 583631958016 590610694144 591019704320 613924274176 627523862528 635467202560 646236078080 652294541312 660551434240 666744103936 675183902720 686625832960 693062950144 701835898880 729035075584 729539947520 738263367680 767405342720 774599767808 784404828160 815368176640 823012253296 833430129920 866328687680 911293844480 945631526912 968249709760 1028765316620 1056882294784 1080294244352 1098601332736 1122937438208 1137151836160 1167263916032 1181221388288 1182039408640 1227848548352 1255047725056 1270934405120 1292472156160 1304589082624 1321102868480 1333488207872 1350367805440 1373251665920 1386125900288 1403671797760 1458070151168 1459079895040 1476526735360 1534810685440 1549199535616 1568809656320 1630736353280 1646024506592 1666860259840 1732657375360 1822587688960 1936499419520 2057530633240 2160588488704 2197202665472 2245874876416 2334527832064 2364078817280 2455697096704 2510095450112 2609178165248 2642205736960 2666976415744 2700735610880 2746503331840 2772251800576 2807343595520 2916140302336 2918159790080 2953053470720 3069621370880 3098399071232 3137619312640 3261472706560 3292049013184 3333720519680 3465314750720 3645175377920 3872998839040 4115061266480 4321176977408 4394405330944 4491749752832 4669055664128 4728157634560 4911394193408 5020190900224 5218356330496 5284411473920 5333952831488 5401471221760 5493006663680 5544503601152 5614687191040 5832280604672 5836319580160 5906106941440 6139242741760 6196798142464 6275238625280 6522945413120 6584098026368 6667441039360 6930629501440 7290350755840 7745997678080 8230122532960 8983499505664 9338111328256 10040381800448 10436712660992 10667905662976 10802942443520 10986013327360 11089007202304 11229374382080 11664561209344 11672639160320 12278485483520 12393596284928 12550477250560 13045890826240 13168196052736 13334882078720 13861259002880 14580701511680 15491995356160 16460245065920 17966999011328 18676222656512 20080763600896 20873425321984 21335811325952 21605884887040 21972026654720 22178014404608 22458748764160 23329122418688 23345278320640 24556970967040 24787192569856 25100954501120 26091781652480 26336392105472 26669764157440 27722518005760 29161403023360 30983990712320 32920490131840 37352445313024 41746850643968 42671622651904 44356028809216 44917497528320 46658244837376 46690556641280 49574385139712 50201909002240 52183563304960 52672784210944 53339528314880 55445036011520 58322806046720 61967981424640 65840980263680 74704890626048 83493701287936 85343245303808 88712057618432 89834995056640 93316489674752 93381113282560 99148770279424 100403818004480 104367126609920 105345568421888 106679056629760 110890072023040 116645612093440 123935962849280 131681960527360 170686490607616 177424115236864 186762226565120 198297540558848 208734253219840 210691136843776 213358113259520 221780144046080 233291224186880 247871925698560 263363921054720 341372981215232 354848230473728 373524453130240 396595081117696 417468506439680 421382273687552 426716226519040 443560288092160 466582448373760 495743851397120 526727842109440 709696460947456 793190162235392 842764547375104 853432453038080 887120576184320 991487702794240 1053455684218880 1419392921894912 1586380324470784 1685529094750208 1706864906076160 1774241152368640 1982975405588480 2106911368437760 3371058189500416 3548482304737280 3965950811176960 4213822736875520 6742116379000832 7096964609474560 7931901622353920 8427645473751040 13484232758001664 16855290947502080 26968465516003328 33710581895004160 67421163790008320 134842327580016640
- Sum of all divisors σ(n): 367475045174424000
- Sum of proper divisors (its aliquot sum) s(n): 232632717594407360
- 134842327580016640 is an abundant number, because the sum of its proper divisors (232632717594407360) is greater than itself. Its abundance is 97790390014390720
Bases of 134842327580016640
- Binary: 1110111110000111001100001111011000001100000000000000000002
- Hexadecimal: 0x1DF0E61EC180000
- Base-36: 10VPM64BEY9S
Squares and roots of 134842327580016640
- 134842327580016640 squared (1348423275800166402) is 18182453307196516209061862676889600
- 134842327580016640 cubed (1348423275800166403) is 2451764325057349566120131201591841928090111442944000
-
The
square root of 134842327580016640 is 367208833.7445283191 -
The
cube root of 134842327580016640 is 512792.9906109689
Scales and comparisons
How big is 134842327580016640?- 134,842,327,580,016,640 seconds is equal to 4,287,568,922 years, 17 weeks, 4 days, 16 hours, 10 minutes, 40 seconds.
-
To count from 1 to 134,842,327,580,016,640 would take you about twelve billion, eight hundred sixty-two million, seven hundred six thousand, seven hundred sixty-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 134842327580016640 cubic inches would be around 42732.7 feet tall.
Recreational maths with 134842327580016640
- 134842327580016640 backwards is 046610085723248431
- 134842327580016640 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 134842327580016640's digits is 64
- More coming soon!
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"Number 134842327580016640 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 134842327580016640 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/134842327580016640/
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The information we have on file for 134842327580016640 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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