34068001988321280

Names of 34068001988321280

• Cardinal: 34068001988321280 can be written as Thirty-four quadrillion, sixty-eight trillion, one billion, nine hundred eighty-eight million, three hundred twenty-one thousand, two hundred eighty.

Scientific notation

• Scientific notation: 3.406800198832128 × 10¹⁶

Factors of 34068001988321280

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 7218366

Divisors of 34068001988321280

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 59 60 62 63 64 70 72 80 84 90 93 96 105 112 118 120 124 126 128 140 144 155 160 168 177 180 186 192 210 217 224 236 240 248 252 256 279 280 288 295 310 315 320 336 354 360 372 384 413 420 434 448 465 472 480 496 504 512 531 558 560 576 590 620 630 640 651 672 708 720 744 768 826 840 868 885 896 930 944 960 992 1008 1024 1062 1085 1116 1120 1152 1180 1239 1240 1260 1280 1302 1344 1395 1416 1440 1488 1536 1652 1680 1736 1770 1792 1829 1860 1888 1920 1953 1984 2016 2048 2065 2124 2170 2232 2240 2304 2360 2478 2480 2520 2560 2604 2655 2688 2790 2832 2880 2976 3072 3255 3304 3360 3472 3540 3584 3658 3717 3720 3776 3840 3906 3968 4032 4096 4130 4248 4340 4464 4480 4608 4720 4956 4960 5040 5120 5208 5310 5376 5487 5580 5664 5760 5952 6144 6195 6510 6608 6720 6944 7080 7168 7316 7434 7440 7552 7680 7812 7936 8064 8192 8260 8496 8680 8928 8960 9145 9216 9440 9765 9912 9920 10080 10240 10416 10620 10752 10974 11160 11328 11520 11904 12288 12390 12803 13020 13216 13440 13888 14160 14336 14632 14868 14880 15104 15360 15624 15872 16128 16461 16520 16992 17360 17856 17920 18290 18432 18585 18880 19530 19824 19840 20160 20480 20832 21240 21504 21948 22320 22656 23040 23808 24576 24780 25606 26040 26432 26880 27435 27776 28320 28672 29264 29736 29760 30208 30720 31248 31744 32256 32922 33040 33984 34720 35712 35840 36580 36864 37170 37760 38409 39060 39648 39680 40320 40960 41664 42480 43008 43896 44640 45312 46080 47616 49560 51212 52080 52864 53760 54870 55552 56640 57344 58528 59472 59520 60416 61440 62496 63488 64015 64512 65844 66080 67968 69440 71424 71680 73160 73728 74340 75520 76818 78120 79296 79360 80640 82305 83328 84960 86016 87792 89280 90624 92160 95232 99120 102424 104160 105728 107520 109740 111104 113280 115227 117056 118944 119040 120832 122880 124992 126976 128030 129024 131688 132160 135936 138880 142848 143360 146320 148680 151040 153636 156240 158592 158720 161280 164610 166656 169920 172032 175584 178560 181248 184320 190464 192045 198240 204848 208320 211456 215040 219480 222208 226560 230454 234112 237888 238080 241664 249984 253952 256060 258048 263376 264320 271872 277760 285696 286720 292640 297360 302080 307272 312480 317184 317440 322560 329220 333312 339840 351168 357120 362496 368640 380928 384090 396480 409696 416640 422912 430080 438960 444416 453120 460908 468224 475776 476160 483328 499968 512120 516096 526752 528640 543744 555520 571392 576135 585280 594720 604160 614544 624960 634368 634880 645120 658440 666624 679680 702336 714240 724992 761856 768180 792960 819392 833280 845824 860160 877920 888832 906240 921816 936448 951552 952320 999936 1024240 1053504 1057280 1087488 1111040 1142784 1152270 1170560 1189440 1208320 1229088 1249920 1268736 1269760 1290240 1316880 1333248 1359360 1404672 1428480 1449984 1536360 1585920 1638784 1666560 1691648 1755840 1777664 1812480 1843632 1872896 1903104 1904640 1999872 2048480 2107008 2114560 2174976 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1288892327040 1308295007232 1330469498880 1374818482176 1386230549655 1430947664160 1478645919632 1503707714880 1526344175104 1552214415360 1584263485320 1603954895872 1635368759040 1663476659586 1689881051008 1717137196992 1718523102720 1744393342976 1804449257856 1833091309568 1848307399540 1862657298432 1901116182384 1907930218880 1962442510848 2004943619840 2062227723264 2069619220480 2112351313760 2146421496240 2180491678720 2217968879448 2255561572320 2289516262656 2291364136960 2328321623040 2376395227980 2405932343808 2453053138560 2534821576512 2577784654080 2616590014464 2660938997760 2749636964352 2772461099310 2861895328320 2957291839264 3007415429760 3052688350208 3104428830720 3168526970640 3207909791744 3270737518080 3326953319172 3379762102016 3434274393984 3437046205440 3488786685952 3608898515712 3696614799080 3725314596864 3802232364768 3815860437760 3924885021696 4009887239680 4124455446528 4158691648965 4224702627520 4292842992480 4360983357440 4435937758896 4511123144640 4579032525312 4582728273920 4656643246080 4752790455960 4811864687616 4906106277120 5069643153024 5155569308160 5233180028928 5499273928704 5544922198620 5723790656640 5914583678528 6014830859520 6105376700416 6208857661440 6337053941280 6415819583488 6541475036160 6653906638344 6759524204032 6868548787968 6874092410880 7217797031424 7393229598160 7604464729536 7631720875520 7849770043392 8019774479360 8248910893056 8317383297930 8449405255040 8585685984960 8721966714880 8871875517792 9022246289280 9158065050624 9165456547840 9313286492160 9505580911920 9623729375232 9812212554240 10139286306048 10311138616320 10466360057856 11089844397240 11447581313280 11829167357056 12029661719040 12210753400832 12674107882560 12831639166976 13082950072320 13307813276688 13519048408064 13737097575936 13748184821760 14435594062848 14786459196320 15208929459072 15263441751040 15699540086784 16039548958720 16497821786112 16634766595860 16898810510080 17171371969920 17443933429760 17743751035584 18044492578560 18316130101248 18626572984320 19011161823840 19247458750464 19624425108480 20278572612096 20622277232640 22179688794480 22895162626560 23658334714112 24059323438080 24421506801664 25348215765120 26165900144640 26615626553376 27038096816128 27474195151872 27496369643520 28871188125696 29572918392640 30417858918144 30526883502080 31399080173568 32079097917440 33269533191720 33797621020160 34342743939840 35487502071168 36088985157120 36632260202496 38022323647680 38494917500928 39248850216960 40557145224192 41244554465280 44359377588960 45790325253120 47316669428224 48118646876160 50696431530240 52331800289280 53231253106752 54076193632256 54948390303744 57742376251392 59145836785280 60835717836288 61053767004160 64158195834880 66539066383440 67595242040320 68685487879680 70975004142336 72177970314240 73264520404992 76044647295360 78497700433920 81114290448384 82489108930560 88718755177920 91580650506240 94633338856448 96237293752320 101392863060480 106462506213504 108152387264512 109896780607488 115484752502784 118291673570560 121671435672576 122107534008320 133078132766880 135190484080640 137370975759360 141950008284672 144355940628480 152089294590720 156995400867840 162228580896768 177437510355840 183161301012480 189266677712896 192474587504640 202785726120960 212925012427008 219793561214976 236583347141120 243342871345152 266156265533760 270380968161280 274741951518720 283900016569344 288711881256960 304178589181440 324457161793536 354875020711680 366322602024960 378533355425792 405571452241920 425850024854016 473166694282240 486685742690304 532312531067520 540761936322560 549483903037440 567800033138688 577423762513920 608357178362880 709750041423360 757066710851584 811142904483840 851700049708032 946333388564480 973371485380608 1064625062135040 1098967806074880 1135600066277376 1216714356725760 1419500082846720 1622285808967680 1703400099416064 1892666777128960 2129250124270080 2271200132554752 2433428713451520 2839000165693440 3406800198832128 3785333554257920 4258500248540160 4866857426903040 5678000331386880 6813600397664256 8517000497080320 11356000662773760 17034000994160640 34068001988321280
• Sum of all divisors σ(n): 141681051329126400
• Sum of proper divisors (its aliquot sum) s(n): 107613049340805120
• 34068001988321280 is an abundant number, because the sum of its proper divisors (107613049340805120) is greater than itself. Its abundance is 73545047352483840

Bases of 34068001988321280

• Binary: 1111001000010001010101011010100101110001010000000000000₂
• Hexadecimal: 0x7908AAD4B8A000
• Base-36: 9BG3K1Y3NK0

Squares and roots of 34068001988321280

• 34068001988321280 squared (34068001988321280²) is 1160628759476262687501512500838400
• 34068001988321280 cubed (34068001988321280³) is 39540302885540177884456284307809948803008561152000
• The square root of 34068001988321280 is 184575193.3178488641
• The cube root of 34068001988321280 is 324177.0167315357

Scales and comparisons

• 34,068,001,988,321,280 seconds is equal to 1,083,257,083 years, 50 weeks, 6 days, 12 hours, 48 minutes.
• To count from 1 to 34,068,001,988,321,280 would take you about three billion, two hundred forty-nine million, seven hundred seventy-one thousand, two hundred fifty-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 34068001988321280 cubic inches would be around 27014.8 feet tall.

Recreational maths with 34068001988321280

• 34068001988321280 backwards is 08212388910086043
• 34068001988321280 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34068001988321280's digits is 63
• More coming soon!