134711315808021120

Names of 134711315808021120

• Cardinal: 134711315808021120 can be written as One hundred thirty-four quadrillion, seven hundred eleven trillion, three hundred fifteen billion, eight hundred eight million, twenty-one thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3471131580802112 × 10¹⁷

Factors of 134711315808021120

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2296

Divisors of 134711315808021120

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 56 60 64 70 74 80 84 96 105 111 112 120 128 140 148 160 168 185 192 210 222 224 240 259 263 280 296 320 336 370 384 420 444 448 480 518 526 555 560 592 640 672 740 777 789 840 888 896 960 1036 1052 1110 1120 1184 1295 1315 1344 1480 1554 1578 1680 1776 1841 1920 1979 2072 2104 2220 2240 2368 2590 2630 2688 2960 3108 3156 3360 3552 3682 3885 3945 3958 4144 4208 4440 4480 4736 5180 5260 5523 5920 5937 6216 6312 6720 7104 7364 7770 7890 7916 8288 8416 8880 9205 9731 9895 10360 10520 11046 11840 11874 12432 12624 13440 13853 14208 14728 15540 15780 15832 16576 16832 17760 18410 19462 19790 20720 21040 22092 23680 23748 24864 25248 27615 27706 29193 29456 29685 31080 31560 31664 33152 33664 35520 36820 38924 39580 41440 41559 42080 44184 47496 48655 49728 50496 55230 55412 58386 58912 59370 62160 63120 63328 68117 69169 69265 71040 73223 73640 77848 79160 82880 83118 84160 88368 94992 97310 99456 100992 110460 110824 116772 117824 118740 124320 126240 126656 136234 138338 138530 145965 146446 147280 155696 158320 165760 166236 168320 176736 189984 194620 204351 207507 207795 219669 220920 221648 233544 235648 237480 248640 252480 253312 272468 276676 277060 291930 292892 294560 311392 316640 332472 340585 345845 353472 366115 379968 389240 408702 415014 415590 439338 441840 443296 467088 474960 484183 497280 504960 512561 520477 544936 553352 554120 583860 585784 589120 622784 633280 664944 681170 691690 706944 732230 759936 778480 817404 830028 831180 878676 883680 886592 934176 949920 968366 1021755 1025122 1037535 1040954 1089872 1098345 1106704 1108240 1167720 1171568 1178240 1245568 1266560 1329888 1362340 1383380 1452549 1464460 1537683 1556960 1561431 1634808 1660056 1662360 1757352 1767360 1773184 1868352 1899840 1936732 2043510 2050244 2075070 2081908 2179744 2196690 2213408 2216480 2335440 2343136 2420915 2559253 2562805 2602385 2659776 2724680 2766760 2905098 2928920 3075366 3113920 3122862 3269616 3320112 3324720 3514704 3534720 3643339 3736704 3799680 3873464 3916441 4087020 4100488 4150140 4163816 4359488 4393380 4426816 4432960 4670880 4686272 4841830 5118506 5125610 5204770 5319552 5449360 5533520 5810196 5857840 6150732 6227840 6245724 6539232 6640224 6649440 7029408 7262745 7286678 7677759 7688415 7746928 7807155 7832882 8174040 8200976 8300280 8327632 8718976 8786760 8853632 8865920 9341760 9372544 9683660 10237012 10251220 10409540 10898720 10930017 11067040 11620392 11715680 11749323 12301464 12491448 12796265 13078464 13280448 13298880 14058816 14525490 14573356 15355518 15376830 15493856 15614310 15665764 16348080 16401952 16600560 16655264 17573520 17914771 18216695 18683520 19257649 19367320 19582205 20474024 20502440 20819080 21797440 21860034 22134080 23240784 23431360 23498646 24602928 24982896 25592530 26156928 26560896 26597760 27415087 28117632 29050980 29146712 30711036 30753660 30987712 31228620 31331528 32696160 32803904 33201120 33310528 35147040 35829542 36433390 38388795 38515298 38734640 39164410 40948048 41004880 41638160 43594880 43720068 44268160 46481568 46862720 46997292 49205856 49965792 51185060 53744313 54650085 54830174 57772947 58101960 58293424 58746615 61422072 61507320 61975424 62457240 62663056 65392320 65607808 66402240 66621056 70294080 71659084 72866780 76777590 77030596 77469280 78328820 81896096 82009760 82245261 83276320 87440136 89573855 92963136 93994584 96288245 98411712 99931584 102370120 107488626 109300170 109660348 115545894 116203920 116586848 117493230 122844144 123014640 124914480 125326112 130784640 132804480 134803543 136885451 137075435 140588160 143318168 144908317 145733560 153555180 154061192 154938560 156657640 163792192 164019520 164490522 166552640 174880272 179147710 185926272 187989168 192576490 196823424 199863168 204740240 214977252 218600340 219320696 231091788 232407840 233173696 234986460 245688288 246029280 249828960 250652224 268721565 269607086 273770902 274150870 286636336 288864735 289816634 291467120 307110360 308122384 309877120 313315280 327584384 328039040 328981044 333105280 349760544 358295420 375978336 385152980 404410629 409480480 410656353 411226305 429954504 434724951 437200680 438641392 462183576 464815680 466347392 469972920 491376576 492058560 499657920 501304448 537443130 539214172 547541804 548301740 573272672 577729470 579633268 582934240 614220720 616244768 626630560 657962088 674017715 684427255 699521088 716590840 724541585 751956672 770305960 808821258 818960960 821312706 822452610 859909008 869449902 874401360 877282784 924367152 929631360 939945840 958198157 982753152 984117120 999315840 1014358219 1030023983 1074886260 1078428344 1095083608 1096603480 1146545344 1155458940 1159266536 1165868480 1228441440 1232489536 1253261120 1315924176 1348035430 1368854510 1399042176 1433181680 1449083170 1503913344 1540611920 1617642516 1637921920 1642625412 1644905220 1719818016 1738899804 1748802720 1754565568 1848734304 1879891680 1916396314 2022053145 2028716438 2053281765 2060047966 2149772520 2156856688 2173624755 2190167216 2193206960 2293090688 2310917880 2318533072 2331736960 2456882880 2464979072 2506522240 2631848352 2696070860 2737709020 2866363360 2874594471 2898166340 3043074657 3081223840 3090071949 3235285032 3285250824 3289810440 3439636032 3477799608 3497605440 3509131136 3697468608 3759783360 3832792628 4044106290 4057432876 4106563530 4120095932 4299545040 4313713376 4347249510 4380334432 4386413920 4621835760 4637066144 4790990785 4913765760 5064761687 5071791095 5150119915 5263696704 5392141720 5475418040 5732726720 5749188942 5796332680 6086149314 6162447680 6180143898 6470570064 6570501648 6579620880 6879272064 6955599216 6995210880 7210167881 7394937216 7519566720 7665585256 8088212580 8114865752 8213127060 8240191864 8599090080 8627426752 8694499020 8760668864 8772827840 9243671520 9274132288 9581981570 10129523374 10143582190 10300239830 10527393408 10784283440 10950836080 11465453440 11498377884 11592665360 12172298628 12324895360 12360287796 12941140128 13141003296 13159241760 13911198432 14372972355 14420335762 15194285061 15215373285 15331170512 15450359745 16176425160 16229731504 16426254120 16480383728 17198180160 17254853504 17388998040 17521337728 17545655680 18487343040 18548264576 19163963140 20259046748 20287164380 20600479660 21568566880 21630503643 21901672160 22996755768 23185330720 24344597256 24720575592 25323808435 25882280256 26282006592 26318483520 27822396864 28745944710 28840671524 30388570122 30430746570 30662341024 30900719490 32352850320 32459463008 32852508240 32960767456 34396360320 34777996080 35453331809 36050839405 36974686080 38110887371 38327926280 40518093496 40574328760 41200959320 43137133760 43261007286 43803344320 45993511536 46370661440 48689194512 49441151184 50647616870 51764560512 52564013184 52636967040 55644793728 57491889420 57681343048 60777140244 60861493140 61324682048 61801438980 64705700640 64918926016 65705016480 65921534912 69555992160 70906663618 72101678810 75971425305 76221774742 76655852560 81036186992 81148657520 82401918640 86274267520 86522014572 87606688640 91987023072 92741322880 97378389024 98882302368 101295233740 106359995427 108152518215 114332662113 114983778840 115362686096 121554280488 121722986280 122649364096 123602877960 129411401280 129837852032 131410032960 131843069824 139111984320 141813327236 144203357620 151942850610 152443549484 153311705120 162072373984 162297315040 164803837280 173044029144 177266659045 183974046144 190554436855 194756778048 197764604736 202590467480 212719990854 216305036430 228665324226 229967557680 230725372192 243108560976 243445972560 247205755920 258822802560 262820065920 266776211597 270896307529 278223968640 283626654472 288406715240 303885701220 304887098968 306623410240 324144747968 324594630080 329607674560 346088058288 354533318090 367948092288 381108873710 389513556096 395529209472 405180934960 425439981708 432610072860 457330648452 459935115360 461450744384 486217121952 486891945120 494411511840 531799977135 533552423194 541792615058 567253308944 571663310565 576813430480 607771402440 609774197936 613246820480 648289495936 649189260160 659215349120 692176116576 709066636180 762217747420 800328634791 810361869920 812688922587 850879963416 865220145720 914661296904 919870230720 922901488768 972434243904 973783890240 988823023680 1063599954270 1067104846388 1083585230116 1134506617888 1143326621130 1153626860960 1215542804880 1219548395872 1333881057985 1354481537645 1384352233152 1418133272360 1524435494840 1600657269582 1620723739840 1625377845174 1701759926832 1730440291440 1829322593808 1839740461440 1896274152703 1944868487808 1947567780480 1977646047360 2127199908540 2134209692776 2167170460232 2269013235776 2286653242260 2307253721920 2431085609760 2439096791744 2667762115970 2708963075290 2768704466304 2836266544720 3048870989680 3201314539164 3241447479680 3250755690348 3403519853664 3460880582880 3658645187616 3792548305406 4001643173955 4063444612935 4254399817080 4268419385552 4334340920464 4538026471552 4573306484520 4614507443840 4862171219520 4878193583488 5335524231940 5417926150580 5672533089440 5688822458109 6097741979360 6402629078328 6501511380696 6807039707328 6921761165760 7317290375232 7585096610812 8003286347910 8126889225870 8508799634160 8536838771104 8668681840928 9146612969040 9481370763515 9724342439040 10023163378573 10671048463880 10835852301160 11345066178880 11377644916218 12195483958720 12805258156656 13003022761392 13614079414656 13843522331520 14634580750464 15170193221624 16006572695820 16253778451740 17017599268320 17073677542208 17337363681856 18293225938080 18962741527030 20046326757146 21342096927760 21671704602320 22690132357760 22755289832436 24390967917440 25610516313312 26006045522784 28444112290545 30069490135719 30340386443248 32013145391640 32507556903480 34035198536640 34147355084416 34674727363712 36586451876160 37925483054060 40092653514292 42684193855520 43343409204640 45510579664872 50115816892865 51221032626624 52012091045568 56888224581090 60138980271438 60680772886496 64026290783280 65015113806960 68070397073280 70162143650011 73172903752320 75850966108120 80185307028584 85368387711040 86686818409280 91021159329744 100231633785730 102442065253248 104024182091136 113776449162180 120277960542876 121361545772992 128052581566560 130030227613920 140324287300022 150347450678595 151701932216240 160370614057168 170736775422080 173373636818560 182042318659488 200463267571460 210486430950033 227552898324360 240555921085752 242723091545984 256105163133120 260060455227840 280648574600044 300694901357190 303403864432480 320741228114336 350810718250055 364084637318976 400926535142920 420972861900066 455105796648720 481111842171504 512210326266240 520120910455680 561297149200088 601389802714380 606807728864960 641482456228672 701621436500110 728169274637952 801853070285840 841945723800132 910211593297440 962223684343008 1052432154750165 1122594298400176 1202779605428760 1213615457729920 1282964912457344 1403242873000220 1603706140571680 1683891447600264 1820423186594880 1924447368686016 2104864309500330 2245188596800352 2405559210857520 2806485746000440 3207412281143360 3367782895200528 3640846373189760 3848894737372032 4209728619000660 4490377193600704 4811118421715040 5612971492000880 6414824562286720 6735565790401056 8419457238001320 8980754387201408 9622236843430080 11225942984001760 13471131580802112 16838914476002640 19244473686860160 22451885968003520 26942263161604224 33677828952005280 44903771936007040 67355657904010560 134711315808021120
• Sum of all divisors σ(n): 506176561553120640
• Sum of proper divisors (its aliquot sum) s(n): 371465245745099520
• 134711315808021120 is an abundant number, because the sum of its proper divisors (371465245745099520) is greater than itself. Its abundance is 236753929937078400

Bases of 134711315808021120

• Binary: 111011110100101110011101001011101111101100110101010000000₂
• Hexadecimal: 0x1DE973A5DF66A80
• Base-36: 10UF6C54ZQTC

Squares and roots of 134711315808021120

• 134711315808021120 squared (134711315808021120²) is 18147138606728400898843730366054400
• 134711315808021120 cubed (134711315808021120³) is 2444624919862921994734342927209337300893286268928000
• The square root of 134711315808021120 is 367030401.7489847121
• The cube root of 134711315808021120 is 512626.8615496247

Scales and comparisons

• 134,711,315,808,021,120 seconds is equal to 4,283,403,153 years, 12 weeks, 2 days, 32 minutes.
• To count from 1 to 134,711,315,808,021,120 would take you about twelve billion, eight hundred fifty million, two hundred nine thousand, four hundred fifty-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 134711315808021120 cubic inches would be around 42718.9 feet tall.

Recreational maths with 134711315808021120

• 134711315808021120 backwards is 021120808513117431
• 134711315808021120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 134711315808021120's digits is 48
• More coming soon!