34004450949224000

Names of 34004450949224000

• Cardinal: 34004450949224000 can be written as Thirty-four quadrillion, four trillion, four hundred fifty billion, nine hundred forty-nine million, two hundred twenty-four thousand.

Scientific notation

• Scientific notation: 3.4004450949224 × 10¹⁶

Factors of 34004450949224000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 130

Divisors of 34004450949224000

• Number of divisors d(n): 1120
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 97 100 112 125 133 140 152 160 175 190 194 200 224 250 266 280 304 320 350 361 380 388 400 448 475 485 500 532 560 608 665 679 700 722 760 776 800 875 950 970 1000 1064 1120 1216 1330 1358 1400 1444 1520 1552 1600 1750 1805 1843 1900 1940 2000 2128 2240 2375 2425 2527 2660 2716 2800 2888 3040 3104 3325 3395 3500 3610 3686 3800 3880 4000 4256 4750 4850 5054 5320 5432 5600 5776 6080 6208 6650 6790 6859 7000 7220 7372 7600 7760 8000 8512 9025 9215 9409 9500 9700 10108 10640 10864 11200 11552 12125 12635 12901 13300 13580 13718 14000 14440 14744 15200 15520 16625 16975 18050 18430 18818 19000 19400 20216 21280 21728 23104 24250 25270 25802 26600 27160 27436 28000 28880 29488 30400 31040 33250 33950 34295 35017 36100 36860 37636 38000 38800 40432 42560 43456 45125 46075 47045 48013 48500 50540 51604 53200 54320 54872 56000 57760 58976 63175 64505 65863 66500 67900 68590 70034 72200 73720 75272 76000 77600 80864 84875 90250 92150 94090 96026 97000 101080 103208 106400 108640 109744 115520 117952 126350 129010 131726 133000 135800 137180 140068 144400 147440 150544 152000 155200 161728 169750 171475 175085 178771 180500 184300 188180 192052 194000 202160 206416 212800 217280 219488 230375 235225 240065 245119 252700 258020 263452 266000 271600 274360 280136 288800 294880 301088 315875 322525 329315 339500 342950 350170 357542 361000 368600 376360 384104 388000 404320 412832 438976 460750 470450 480130 490238 505400 516040 526904 532000 543200 548720 560272 577600 589760 602176 631750 645050 658630 665323 679000 685900 700340 715084 722000 737200 752720 768208 776000 808640 825664 857375 875425 893855 912673 921500 940900 960260 980476 1010800 1032080 1053808 1064000 1086400 1097440 1120544 1176125 1200325 1225595 1251397 1263500 1290100 1317260 1330646 1358000 1371800 1400680 1430168 1444000 1474400 1505440 1536416 1612625 1646575 1714750 1750850 1787710 1825346 1843000 1881800 1920520 1960952 2021600 2064160 2107616 2194880 2241088 2352250 2400650 2451190 2502794 2527000 2580200 2634520 2661292 2716000 2743600 2801360 2860336 2888000 2948800 3010880 3072832 3225250 3293150 3326615 3396649 3429500 3501700 3575420 3650692 3686000 3763600 3841040 3921904 4043200 4128320 4215232 4377125 4469275 4563365 4657261 4704500 4801300 4902380 5005588 5054000 5160400 5269040 5322584 5432000 5487200 5602720 5720672 6001625 6127975 6256985 6388711 6450500 6586300 6653230 6793298 6859000 7003400 7150840 7301384 7372000 7527200 7682080 7843808 8232875 8754250 8938550 9126730 9314522 9409000 9602600 9804760 10011176 10108000 10320800 10538080 10645168 10974400 11205440 11441344 12003250 12255950 12513970 12777422 12901000 13172600 13306460 13586596 13718000 14006800 14301680 14602768 14744000 15054400 15364160 15687616 16465750 16633075 16983245 17340787 17508500 17877100 18253460 18629044 18818000 19205200 19609520 20022352 20216000 20641600 21076160 21290336 22346375 22816825 23286305 23776543 24006500 24511900 25027940 25554844 25802000 26345200 26612920 27173192 27436000 28013600 28603360 29205536 30639875 31284925 31943555 32931500 33266150 33966490 34681574 35017000 35754200 36506920 37258088 37636000 38410400 39219040 40044704 42580672 44692750 45633650 46572610 47553086 48013000 49023800 50055880 51109688 51604000 52690400 53225840 54346384 54872000 56027200 57206720 58411072 61279750 62569850 63887110 64536331 65863000 66532300 67932980 69363148 70034000 71508400 73013840 74516176 75272000 76820800 78438080 80089408 83165375 84916225 86703935 88529281 89385500 91267300 93145220 95106172 96026000 98047600 100111760 102219376 103208000 105380800 106451680 108692768 114084125 116431525 118882715 121385509 122559500 125139700 127774220 129072662 131726000 133064600 135865960 138726296 140068000 143016800 146027680 149032352 156424625 159717775 166330750 169832450 173407870 177058562 178771000 182534600 186290440 190212344 192052000 196095200 200223520 204438752 212903360 217385536 228168250 232863050 237765430 242771018 245119000 250279400 255548440 258145324 263452000 266129200 271731920 277452592 280136000 286033600 292055360 298064704 312849250 319435550 322681655 329474953 332661500 339664900 346815740 354117124 357542000 365069200 372580880 380424688 384104000 392190400 400447040 408877504 424581125 433519675 442646405 451754317 456336500 465726100 475530860 485542036 490238000 500558800 511096880 516290648 526904000 532258400 543463840 554905184 582157625 594413575 606927545 619704967 625698500 638871100 645363310 658949906 665323000 679329800 693631480 708234248 715084000 730138400 745161760 760849376 798588875 849162250 867039350 885292810 903508634 912673000 931452200 951061720 971084072 980476000 1001117600 1022193760 1032581296 1064516800 1086927680 1109810368 1164315250 1188827150 1213855090 1239409934 1251397000 1277742200 1290726620 1317899812 1330646000 1358659600 1387262960 1416468496 1430168000 1460276800 1490323520 1521698752 1597177750 1613408275 1647374765 1682056339 1698324500 1734078700 1770585620 1807017268 1825346000 1862904400 1902123440 1942168144 1960952000 2002235200 2044387520 2065162592 2167598375 2213232025 2258771585 2306324671 2328630500 2377654300 2427710180 2478819868 2502794000 2555484400 2581453240 2635799624 2661292000 2717319200 2774525920 2832936992 2972067875 3034637725 3098524835 3194355500 3226816550 3294749530 3364112678 3396649000 3468157400 3541171240 3614034536 3650692000 3725808800 3804246880 3884336288 4130325184 4335196750 4426464050 4517543170 4612649342 4657261000 4755308600 4855420360 4957639736 5005588000 5110968800 5162906480 5271599248 5322584000 5434638400 5549051840 5665873984 5944135750 6069275450 6197049670 6260024107 6388711000 6453633100 6589499060 6728225356 6793298000 6936314800 7082342480 7228069072 7301384000 7451617600 7608493760 7768672576 8067041375 8236873825 8410281695 8670393500 8852928100 9035086340 9225298684 9314522000 9510617200 9710840720 9915279472 10011176000 10221937600 10325812960 10543198496 11066160125 11293857925 11531623355 11774394373 11888271500 12138550900 12394099340 12520048214 12777422000 12907266200 13178998120 13456450712 13586596000 13872629600 14164684960 14456138144 15173188625 15492624175 16134082750 16473747650 16820563390 17340787000 17705856200 18070172680 18450597368 18629044000 19021234400 19421681440 19830558944 20651625920 21086396992 22132320250 22587715850 23063246710 23548788746 23776543000 24277101800 24788198680 25040096428 25554844000 25814532400 26357996240 26912901424 27173192000 27745259200 28329369920 28912276288 30346377250 30985248350 31300120535 31959070441 32268165500 32947495300 33641126780 34681574000 35411712400 36140345360 36901194736 37258088000 38042468800 38843362880 39661117888 41184369125 42051408475 43820168749 44264640500 45175431700 46126493420 47097577492 47553086000 48554203600 49576397360 50080192856 51109688000 51629064800 52715992480 53825802848 56469289625 57658116775 58871971865 60692754500 61970496700 62600241070 63918140882 64536331000 65894990600 67282253560 69363148000 70823424800 72280690720 73802389472 77463120875 82368738250 84102816950 87640337498 88529281000 90350863400 92252986840 94195154984 95106172000 97108407200 99152794720 100160385712 103258129600 105431984960 107651605696 112938579250 115316233550 117743943730 121385509000 123940993400 125200482140 127836281764 129072662000 131789981200 134564507120 138726296000 141646849600 144561381440 147604778944 154926241750 156500602675 159795352205 164737476500 168205633900 175280674996 177058562000 180701726800 184505973680 188390309968 190212344000 194216814400 198305589440 200320771424 210257042375 219100843745 223713493087 225877158500 230632467100 235487887460 242771018000 247881986800 250400964280 255672563528 258145324000 263579962400 269129014240 288290583875 294359859325 309852483500 313001205350 319590704410 329474953000 336411267800 350561349992 354117124000 361403453600 369011947360 376780619936 400641542848 420514084750 438201687490 447426986174 451754317000 461264934200 470975774920 485542036000 495763973600 500801928560 511345127056 516290648000 527159924800 538258028480 576581167750 588719718650 607222338379 619704967000 626002410700 639181408820 658949906000 672822535600 701122699984 708234248000 722806907200 738023894720 753561239872 782503013375 798976761025 841028169500 876403374980 894853972348 903508634000 922529868400 941951549840 971084072000 991527947200 1001603857120 1022690254112 1095504218725 1118567465435 1153162335500 1177439437300 1214444676758 1239409934000 1252004821400 1278362817640 1317899812000 1345645071200 1402245399968 1471799296625 1565006026750 1597953522050 1682056339000 1752806749960 1789707944696 1807017268000 1845059736800 1883903099680 2003207714240 2045380508224 2191008437450 2237134930870 2306324671000 2354878874600 2428889353516 2478819868000 2504009642800 2556725635280 2635799624000 2691290142400 2804490799936 2943598593250 3036111691895 3130012053500 3195907044100 3364112678000 3505613499920 3579415889392 3614034536000 3690119473600 3767806199360 3994883805125 4250556368653 4382016874900 4474269861740 4612649342000 4709757749200 4857778707032 4957639736000 5008019285600 5113451270560 5477521093625 5592837327175 5887197186500 6072223383790 6260024107000 6391814088200 6728225356000 7011226999840 7158831778784 7989767610250 8501112737306 8764033749800 8948539723480 9225298684000 9419515498400 9715557414064 10016038571200 10226902541120 10955042187250 11185674654350 11774394373000 12144446767580 12520048214000 12783628176400 13456450712000 14022453999680 14317663557568 15180558459475 15979535220500 17002225474612 17528067499600 17897079446960 18450597368000 18839030996800 19431114828128 21252781843265 21910084374500 22371349308700 23548788746000 24288893535160 25040096428000 25567256352800 27964186635875 30361116918950 31959070441000 34004450949224 35056134999200 35794158893920 38862229656256 42505563686530 43820168749000 44742698617400 47097577492000 48577787070320 50080192856000 51134512705600 55928373271750 60722233837900 63918140882000 68008901898448 70112269998400 71588317787840 75902792297375 85011127373060 87640337498000 89485397234800 94195154984000 97155574140640 106263909216325 111856746543500 121444467675800 127836281764000 136017803796896 151805584594750 170022254746120 175280674996000 178970794469600 194311148281280 212527818432650 223713493087000 242888935351600 255672563528000 272035607593792 303611169189500 340044509492240 350561349992000 357941588939200 425055636865300 447426986174000 485777870703200 531319546081625 607222338379000 680089018984480 850111273730600 894853972348000 971555741406400 1062639092163250 1214444676758000 1360178037968960 1700222547461200 1789707944696000 2125278184326500 2428889353516000 3400445094922400 4250556368653000 4857778707032000 6800890189844800 8501112737306000 17002225474612000 34004450949224000
• Sum of all divisors σ(n): 102646539041629440
• Sum of proper divisors (its aliquot sum) s(n): 68642088092405440
• 34004450949224000 is an abundant number, because the sum of its proper divisors (68642088092405440) is greater than itself. Its abundance is 34637637143181440

Bases of 34004450949224000

• Binary: 1111000110011101101111000110011100111000101011001000000₂
• Hexadecimal: 0x78CEDE339C5640
• Base-36: 9ATKL3Y9FSW

Squares and roots of 34004450949224000

• 34004450949224000 squared (34004450949224000²) is 1156302684358180994626202176000000
• 34004450949224000 cubed (34004450949224000³) is 39319437912713806979926957026745334311424000000000
• The square root of 34004450949224000 is 184402958.0815448849
• The cube root of 34004450949224000 is 323975.3161262435

Scales and comparisons

• 34,004,450,949,224,000 seconds is equal to 1,081,236,357 years, 26 weeks, 4 days, 12 hours, 53 minutes, 20 seconds.
• To count from 1 to 34,004,450,949,224,000 would take you about three billion, two hundred forty-three million, seven hundred nine thousand and seventy-two 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 34004450949224000 cubic inches would be around 26997.9 feet tall.

Recreational maths with 34004450949224000

• 34004450949224000 backwards is 00042294905440043
• 34004450949224000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34004450949224000's digits is 50
• More coming soon!