34134756803056000

Names of 34134756803056000

• Cardinal: 34134756803056000 can be written as Thirty-four quadrillion, one hundred thirty-four trillion, seven hundred fifty-six billion, eight hundred three million, fifty-six thousand.

Scientific notation

• Scientific notation: 3.4134756803056 × 10¹⁶

Factors of 34134756803056000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 5198

Divisors of 34134756803056000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 40 50 52 53 56 64 65 68 70 80 85 91 100 104 106 112 119 125 128 130 136 140 160 170 175 182 200 208 212 221 224 238 250 260 265 272 280 320 325 340 350 364 371 400 416 424 425 442 448 455 476 500 520 530 544 560 595 640 650 680 689 700 728 742 800 832 848 850 875 884 896 901 910 952 1000 1040 1060 1088 1105 1120 1190 1300 1325 1360 1378 1400 1456 1484 1547 1600 1625 1664 1696 1700 1750 1768 1802 1820 1855 1904 2000 2080 2120 2125 2176 2210 2240 2275 2380 2600 2650 2720 2756 2800 2912 2968 2975 3094 3200 3250 3392 3400 3445 3500 3536 3604 3640 3710 3808 4000 4160 4240 4250 4420 4480 4505 4550 4760 4823 5101 5200 5300 5440 5512 5525 5600 5824 5936 5950 6188 6307 6500 6625 6784 6800 6890 7000 7072 7208 7280 7420 7616 7735 8000 8320 8480 8500 8840 9010 9100 9275 9520 9646 10202 10400 10600 10880 11024 11050 11200 11375 11648 11713 11872 11900 12376 12614 13000 13250 13600 13780 14000 14144 14416 14560 14840 14875 15232 15470 16000 16960 17000 17225 17680 18020 18200 18550 19040 19292 20404 20800 21200 22048 22100 22400 22525 22750 23426 23744 23800 24115 24752 25228 25505 26000 26500 27200 27560 27625 28000 28288 28832 29120 29680 29750 30940 31535 33920 34000 34450 35360 35707 36040 36400 37100 38080 38584 38675 40808 41600 42400 44096 44200 45050 45500 46375 46852 47488 47600 48230 49504 50456 51010 52000 53000 54400 55120 55250 56000 57664 58240 58565 59360 59500 61880 63070 66313 68000 68900 70720 71414 72080 72800 74200 76160 77168 77350 81616 81991 84800 86125 86717 88192 88400 90100 91000 92750 93704 95200 96460 99008 100912 102020 104000 106000 110240 110500 112000 112625 115328 117130 118720 119000 120575 123760 126140 127525 132626 136000 137800 141440 142828 144160 145600 148400 154336 154700 157675 163232 163982 169600 172250 173434 176800 178535 180200 182000 185500 187408 190400 192920 193375 198016 201824 204040 208000 212000 220480 221000 225250 234260 237440 238000 241150 247520 252280 255050 265252 270353 272000 275600 285656 288320 291200 292825 296800 308672 309400 315350 326464 327964 331565 344500 346868 353600 357070 360400 364000 371000 374816 380800 385840 386750 403648 408080 409955 424000 433585 440960 442000 450500 464191 468520 476000 482300 495040 504560 510100 530504 540706 551200 571312 576640 585650 593600 602875 607019 617344 618800 630700 637625 652928 655928 663130 689000 693736 707200 714140 720800 728000 742000 749632 771680 773500 788375 807296 816160 819910 848000 867170 884000 892675 901000 928382 937040 952000 964600 990080 1009120 1020200 1061008 1081412 1102400 1127321 1142624 1171300 1187200 1205750 1214038 1237600 1261400 1275250 1311856 1326260 1351765 1378000 1387472 1428280 1441600 1456000 1464125 1484000 1499264 1543360 1547000 1576750 1632320 1639820 1657825 1734340 1768000 1785350 1802000 1856764 1874080 1892471 1904000 1929200 2018240 2040400 2049775 2122016 2162824 2167925 2204800 2254642 2285248 2320955 2342600 2411500 2428076 2475200 2522800 2550500 2623712 2652520 2703530 2756000 2774944 2856560 2883200 2928250 2968000 3035095 3086720 3094000 3153500 3264640 3279640 3315650 3468680 3514589 3536000 3570700 3604000 3713528 3748160 3784942 3858400 4036480 4080800 4099550 4244032 4325648 4335850 4463375 4509284 4570496 4596001 4641910 4685200 4823000 4856152 4950400 5045600 5101000 5247424 5305040 5407060 5512000 5549888 5636605 5713120 5856500 5936000 6070190 6188000 6307000 6559280 6631300 6758825 6937360 7029178 7141400 7208000 7427056 7496320 7569884 7716800 7891247 8161600 8199100 8289125 8488064 8651296 8671700 8926750 9018568 9192002 9283820 9370400 9462355 9646000 9712304 10091200 10202000 10248875 10494848 10610080 10814120 10839625 11024000 11099776 11273210 11426240 11604775 11713000 12140380 12376000 12614000 13118560 13262600 13517650 13874720 14058356 14282800 14416000 14854112 15139768 15175475 15433600 15782494 16323200 16398200 16578250 17302592 17343400 17572945 17853500 18037136 18384004 18567640 18740800 18924710 19292000 19424608 20182400 20404000 20497750 21220160 21628240 21679250 22546420 22852480 22980005 23209550 23426000 24280760 24602123 24752000 25228000 26020201 26237120 26525200 27035300 27749440 28116712 28183025 28565600 29708224 30279536 30350950 31564988 32172007 32796400 33156500 33794125 34605184 34686800 35145890 35707000 36074272 36768008 37135280 37481600 37849420 38584000 38849216 39456235 40808000 40995500 42440320 43256480 43358500 45092840 45960010 46419100 46852000 47311775 48561520 49204246 50456000 52040402 52474240 53050400 54070600 55498880 56233424 56366050 57131200 58023875 59416448 59748013 60559072 60701900 63129976 64344014 65592800 66313000 67588250 69373600 70291780 71414000 72148544 73536016 74270560 75698840 75877375 77168000 77698432 78912470 81616000 81991000 86512960 86717000 87864725 90185680 91920020 92838200 93704000 94623550 97123040 98408492 100912000 104080804 106100800 108141200 112466848 112732100 114262400 114900025 116047750 119496026 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615053075 631299760 643440140 650505025 655928000 676525226 693736000 702917800 721485440 728565628 735360160 742705600 756988400 787267936 789124700 804300175 832646432 836472182 865129600 878647250 884686834 901856800 910707035 919200200 928382000 946235500 955968208 971230400 984084920 986405875 1010079616 1029504224 1040808040 1061008000 1081412000 1124668480 1127321000 1149000250 1194960260 1211181440 1214038000 1230106150 1262599520 1286880280 1301010050 1311856000 1353050452 1379070653 1387472000 1405835600 1457131256 1470720320 1485411200 1493700325 1513976800 1574535872 1578249400 1608600350 1665292864 1672944364 1691313065 1757294500 1769373668 1803713600 1821414070 1838400400 1856764000 1892471000 1911936416 1942460800 1968169840 1972811750 2059008448 2081616080 2091180455 2162824000 2211717085 2249336960 2254642000 2298000500 2367838291 2389920520 2428076000 2460212300 2525199040 2573760560 2602020100 2706100904 2758141306 2811671200 2914262512 2941440640 2987400650 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52279511375 53534219648 54122018080 55162826120 55292927125 56233424000 56619957376 57504644210 58285250240 59195957275 59748013000 61928078380 63129976000 64344014000 66917774560 67652522600 68953532650 70774946720 71711673956 72856562800 73536016000 75770825312 77227956568 77410097975 78726793600 80506501894 83264643200 83647218200 84565653250 88260521792 88468683400 89639592445 91070703500 92007430736 93776804404 94713531640 95596820800 96534945710 98408492000 99084925408 102950422400 104080804000 104559022750 108244036160 110325652240 110585854250 115009288420 116570500480 117221005505 118391914550 119496026000 123856156760 125495429423 126259952000 128688028000 133835549120 135305045200 137907065300 141549893440 143423347912 143761610525 145713125600 151541650624 154455913136 154820195950 161013003788 164109407707 167294436400 169131306500 172383831625 176521043584 176937366800 179279184890 182141407000 184014861472 187553608808 189427063280 191193641600 193069891420 196816984000 198169850816 201266254735 208161608000 209118045500 216488072320 220651304480 221171708500 230018576840 234442011010 236783829100 238992052000 241337364275 247712313520 250990858846 257376056000 267671098240 270610090400 275814130600 283099786880 286846695824 287523221050 291426251200 295979786375 303083301248 304774614313 308911826272 309640391900 322026007576 328218815414 334588872800 338262613000 344767663250 353874733600 358558369780 364282814000 368029722944 375107217616 378854126560 386139782840 387050489875 393633968000 396339701632 402532509470 416323216000 418236091000 441302608960 442343417000 448197962225 460037153680 468884022020 473567658200 477984104000 482674728550 495424627040 501981717692 514752112000 541220180800 551628261200 573693391648 575046442100 582852502400 586105027525 591959572750 609549228626 617823652544 619280783800 627477147115 644052015152 656437630828 669177745600 676525226000 689535326500 707749467200 717116739560 718808052625 728565628000 736059445888 750214435232 757708253120 772279565680 774100979750 805065018940 820547038535 836472182000 882605217920 884686834000 896395924450 920074307360 937768044040 947135316400 955968208000 965349457100 990849254080 1003963435384 1006331273675 1082440361600 1103256522400 1147386783296 1150092884200 1172210055050 1183919145500 1206686821375 1219098457252 1235647305088 1238561567600 1254954294230 1288104030304 1312875261656 1338355491200 1353050452000 1379070653000 1415498934400 1434233479120 1437616105250 1457131256000 1500428870464 1515416506240 1523873071565 1544559131360 1548201959500 1610130037880 1641094077070 1672944364000 1769373668000 1792791848900 1840148614720 1875536088080 1894270632800 1930698914200 1981698508160 2007926870768 2012662547350 2133422300191 2206513044800 2240989811125 2294773566592 2300185768400 2344420110100 2367838291000 2413373642750 2438196914504 2477123135200 2509908588460 2576208060608 2625750523312 2706100904000 2758141306000 2868466958240 2875232210500 2914262512000 2930525137625 3000857740928 3047746143130 3089118262720 3096403919000 3137385735575 3220260075760 3282188154140 3345888728000 3538747336000 3585583697800 3680297229440 3751072176160 3788541265600 3861397828400 4015853741536 4025325094700 4102735192675 4266844600382 4413026089600 4481979622250 4600371536800 4688840220200 4735676582000 4826747285500 4876393829008 4954246270400 5019817176920 5031656368375 5152416121216 5251501046624 5412201808000 5516282612000 5736933916480 5750464421000 5861050275250 6095492286260 6178236525440 6192807838000 6274771471150 6440520151520 6564376308280 6691777456000 7077494672000 7171167395600 7502144352320 7577082531200 7619365357825 7722795656800 8031707483072 8050650189400 8205470385350 8533689200764 8963959244500 9200743073600 9377680440400 9471353164000 9653494571000 9752787658016 9908492540800 10039634353840 10063312736750 10503002093248 10667111500955 11032565224000 11473867832960 11500928842000 11722100550500 12190984572520 12385615676000 12549542942300 12881040303040 13128752616560 14342334791200 15004288704640 15238730715650 15445591313600 15686928677875 16063414966144 16101300378800 16410940770700 17067378401528 17927918489000 18401486147200 18755360880800 18942706328000 19306989142000 19505575316032 20079268707680 20126625473500 20513675963375 21006004186496 21334223001910 22065130448000 23001857684000 23444201101000 24381969145040 24771231352000 25099085884600 25762080606080 26257505233120 28684669582400 30477461431300 30891182627200 31373857355750 32202600757600 32821881541400 34134756803056 35855836978000 37510721761600 37885412656000 38096826789125 38613978284000 39011150632064 40158537415360 40253250947000 41027351926750 42668446003820 46003715368000 46888402202000 48763938290080 49542462704000 50198171769200 52515010466240 53335557504775 57369339164800 60954922862600 62747714711500 64405201515200 65643763082800 68269513606112 71711673956000 75021443523200 76193653578250 77227956568000 80317074830720 80506501894000 82054703853500 85336892007640 92007430736000 93776804404000 97527876580160 100396343538400 105030020932480 106671115009550 121909845725200 125495429423000 128810403030400 131287526165600 136539027212224 143423347912000 152387307156500 154455913136000 161013003788000 164109407707000 170673784015280 187553608808000 195055753160320 200792687076800 213342230019100 243819691450400 250990858846000 262575052331200 266677787523875 273078054424448 286846695824000 304774614313000 322026007576000 328218815414000 341347568030560 375107217616000 401585374153600 426684460038200 487639382900800 501981717692000 525150104662400 533355575047750 609549228626000 644052015152000 656437630828000 682695136061120 853368920076400 975278765801600 1003963435384000 1066711150095500 1219098457252000 1312875261656000 1365390272122240 1706737840152800 2007926870768000 2133422300191000 2438196914504000 2625750523312000 3413475680305600 4266844600382000 4876393829008000 6826951360611200 8533689200764000 17067378401528000 34134756803056000
• Sum of all divisors σ(n): 112705435342805760
• Sum of proper divisors (its aliquot sum) s(n): 78570678539749760
• 34134756803056000 is an abundant number, because the sum of its proper divisors (78570678539749760) is greater than itself. Its abundance is 44435921736693760

Bases of 34134756803056000

• Binary: 1111001010001010110000101100101101111011001000110000000₂
• Hexadecimal: 0x79456165BD9180
• Base-36: 9C3RESJ8I9S

Squares and roots of 34134756803056000

• 34134756803056000 squared (34134756803056000²) is 1165181622003777873570939136000000
• 34134756803056000 cubed (34134756803056000³) is 39773191298489281432408700136594914799616000000000
• The square root of 34134756803056000 is 184755938.4784586565
• The cube root of 34134756803056000 is 324388.6156545593

Scales and comparisons

• 34,134,756,803,056,000 seconds is equal to 1,085,379,680 years, 31 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 34,134,756,803,056,000 would take you about three billion, two hundred fifty-six million, one hundred thirty-nine thousand and forty-one 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 34134756803056000 cubic inches would be around 27032.4 feet tall.

Recreational maths with 34134756803056000

• 34134756803056000 backwards is 00065030865743143
• The number of decimal digits it has is: 17
• The sum of 34134756803056000's digits is 55
• More coming soon!