681684037009408000

Names of 681684037009408000

• Cardinal: 681684037009408000 can be written as Six hundred eighty-one quadrillion, six hundred eighty-four trillion, thirty-seven billion, nine million, four hundred eight thousand.

Scientific notation

• Scientific notation: 6.81684037009408 × 10¹⁷

Factors of 681684037009408000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 31
• Sum of prime factors: 367

Divisors of 681684037009408000

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 251 256 320 400 436 500 502 512 545 640 800 872 1000 1004 1024 1090 1255 1280 1600 1744 2000 2008 2048 2180 2510 2560 2725 3200 3488 4000 4016 4096 4360 5020 5120 5450 6275 6400 6976 8000 8032 8192 8720 10040 10240 10900 11881 12550 12800 13625 13952 16000 16064 16384 17440 20080 20480 21800 23762 25100 25600 27250 27359 27904 31375 32000 32128 32768 34880 40160 40960 43600 47524 50200 51200 54500 54718 55808 59405 62750 64000 64256 65536 69760 80320 81920 87200 95048 100400 102400 109000 109436 111616 118810 125500 128000 128512 131072 136795 139520 160640 163840 174400 190096 200800 204800 218000 218872 223232 237620 251000 256000 257024 262144 273590 279040 297025 321280 327680 348800 380192 401600 409600 436000 437744 446464 475240 502000 512000 514048 524288 547180 558080 594050 642560 655360 683975 697600 760384 803200 819200 872000 875488 892928 950480 1004000 1024000 1028096 1048576 1094360 1116160 1188100 1285120 1295029 1310720 1367950 1395200 1485125 1520768 1606400 1638400 1744000 1750976 1785856 1900960 2008000 2048000 2056192 2097152 2188720 2232320 2376200 2570240 2590058 2621440 2735900 2790400 2970250 2982131 3041536 3212800 3276800 3419875 3488000 3501952 3571712 3801920 4016000 4096000 4112384 4194304 4377440 4464640 4752400 5140480 5180116 5242880 5471800 5580800 5940500 5964262 6083072 6425600 6475145 6553600 6839750 6976000 7003904 7143424 7603840 8032000 8192000 8224768 8388608 8754880 8929280 9504800 10280960 10360232 10485760 10943600 11161600 11881000 11928524 12166144 12851200 12950290 13107200 13679500 13952000 14007808 14286848 14910655 15207680 16064000 16384000 16449536 16777216 17509760 17858560 19009600 20561920 20720464 20971520 21887200 22323200 23762000 23857048 24332288 25702400 25900580 26214400 27359000 27904000 28015616 28573696 29821310 30415360 32128000 32375725 32768000 32899072 35019520 35717120 38019200 41123840 41440928 41943040 43774400 44646400 47524000 47714096 48664576 51404800 51801160 52428800 54718000 55808000 56031232 57147392 59642620 60830720 64256000 64751450 65536000 65798144 70039040 71434240 74553275 76038400 82247680 82881856 83886080 87548800 89292800 95048000 95428192 97329152 102809600 103602320 104857600 109436000 111616000 112062464 114294784 119285240 121661440 128512000 129502900 131072000 131596288 140078080 142868480 149106550 152076800 161878625 164495360 165763712 175097600 178585600 190096000 190856384 194658304 205619200 207204640 209715200 218872000 223232000 224124928 228589568 238570480 243322880 257024000 259005800 262144000 263192576 280156160 285736960 298213100 304153600 323757250 325052279 328990720 331527424 350195200 357171200 372766375 380192000 381712768 389316608 411238400 414409280 419430400 437744000 446464000 448249856 457179136 477140960 486645760 514048000 518011600 524288000 526385152 560312320 571473920 596426200 608307200 647514500 650104558 657981440 663054848 700390400 714342400 745532750 760384000 763425536 778633216 822476800 828818560 875488000 892928000 896499712 914358272 954281920 973291520 1028096000 1036023200 1048576000 1052770304 1120624640 1142947840 1192852400 1216614400 1295029000 1300209116 1315962880 1326109696 1400780800 1428684800 1491065500 1520768000 1526851072 1557266432 1625261395 1644953600 1657637120 1750976000 1785856000 1792999424 1828716544 1908563840 1946583040 2056192000 2072046400 2097152000 2105540608 2241249280 2285895680 2385704800 2433228800 2590058000 2600418232 2631925760 2652219392 2801561600 2857369600 2982131000 3041536000 3053702144 3114532864 3250522790 3289907200 3315274240 3501952000 3571712000 3585998848 3817127680 3893166080 4112384000 4144092800 4211081216 4482498560 4571791360 4771409600 4866457600 5180116000 5200836464 5263851520 5304438784 5603123200 5714739200 5964262000 6083072000 6107404288 6229065728 6501045580 6579814400 6630548480 7003904000 7143424000 7171997696 7634255360 7786332160 8126306975 8224768000 8288185600 8964997120 9143582720 9542819200 9732915200 10360232000 10401672928 10527703040 10608877568 11206246400 11429478400 11928524000 12166144000 12214808576 12458131456 13002091160 13159628800 13261096960 14007808000 14286848000 14343995392 15268510720 15572664320 16252613950 16449536000 16576371200 17929994240 19085638400 19465830400 20720464000 20803345856 21055406080 21217755136 22412492800 22858956800 23857048000 24332288000 24429617152 24916262912 26004182320 26319257600 26522193920 28015616000 28573696000 28687990784 30537021440 31145328640 32505227900 32899072000 33152742400 35859988480 38171276800 38931660800 40631534875 41440928000 41606691712 42435510272 44824985600 45717913600 47714096000 48664576000 48859234304 49832525824 52008364640 52638515200 53044387840 56031232000 57147392000 57375981568 61074042880 62290657280 65010455800 65798144000 66305484800 71719976960 76342553600 77863321600 81263069750 82881856000 83213383424 84871020544 89649971200 95428192000 97329152000 97718468608 99665051648 104016729280 105277030400 106088775680 112062464000 114294784000 114751963136 122148085760 124581314560 130020911600 131596288000 132610969600 143439953920 152685107200 155726643200 162526139500 165763712000 166426766848 169742041088 179299942400 190856384000 194658304000 195436937216 199330103296 208033458560 212177551360 224124928000 228589568000 229503926272 244296171520 249162629120 260041823200 263192576000 265221939200 286879907840 305370214400 311453286400 325052279000 331527424000 332853533696 339484082176 358599884800 381712768000 389316608000 390873874432 416066917120 424355102720 448249856000 459007852544 488592343040 498325258240 520083646400 526385152000 530443878400 573759815680 610740428800 622906572800 650104558000 663054848000 665707067392 678968164352 717199769600 763425536000 778633216000 781747748864 832133834240 848710205440 896499712000 977184686080 996650516480 1040167292800 1060887756800 1147519631360 1221480857600 1245813145600 1300209116000 1326109696000 1331414134784 1357936328704 1434399539200 1526851072000 1557266432000 1563495497728 1664267668480 1697420410880 1792999424000 1954369372160 2080334585600 2121775513600 2295039262720 2442961715200 2491626291200 2600418232000 2652219392000 2662828269568 2715872657408 2868799078400 3053702144000 3114532864000 3126990995456 3328535336960 3394840821760 3585998848000 3908738744320 4160669171200 4243551027200 4885923430400 4983252582400 5200836464000 5304438784000 5325656539136 5431745314816 5737598156800 6107404288000 6229065728000 6253981990912 6657070673920 6789681643520 7171997696000 7817477488640 8321338342400 8487102054400 9771846860800 10401672928000 10608877568000 10651313078272 10863490629632 11475196313600 12214808576000 12458131456000 12507963981824 13314141347840 13579363287040 14343995392000 15634954977280 16642676684800 16974204108800 19543693721600 20803345856000 21217755136000 21302626156544 21726981259264 24429617152000 24916262912000 25015927963648 26628282695680 27158726574080 28687990784000 31269909954560 33285353369600 33948408217600 39087387443200 41606691712000 42435510272000 42605252313088 48859234304000 50031855927296 53256565391360 54317453148160 57375981568000 62539819909120 66570706739200 67896816435200 78174774886400 83213383424000 84871020544000 85210504626176 97718468608000 106513130782720 108634906296320 125079639818240 133141413478400 135793632870400 156349549772800 166426766848000 169742041088000 170421009252352 195436937216000 213026261565440 250159279636480 266282826956800 271587265740800 312699099545600 332853533696000 339484082176000 340842018504704 390873874432000 426052523130880 532565653913600 543174531481600 625398199091200 665707067392000 678968164352000 681684037009408 781747748864000 852105046261760 1065131307827200 1250796398182400 1331414134784000 1357936328704000 1363368074018816 1563495497728000 1704210092523520 2130262615654400 2662828269568000 2715872657408000 2726736148037632 3126990995456000 3408420185047040 4260525231308800 5325656539136000 5453472296075264 6253981990912000 6816840370094080 8521050462617600 10651313078272000 13633680740188160 17042100925235200 21302626156544000 27267361480376320 34084201850470400 42605252313088000 68168403700940800 85210504626176000 136336807401881600 170421009252352000 340842018504704000 681684037009408000
• Sum of all divisors σ(n): 1724079353289733440
• Sum of proper divisors (its aliquot sum) s(n): 1042395316280325440
• 681684037009408000 is an abundant number, because the sum of its proper divisors (1042395316280325440) is greater than itself. Its abundance is 360711279270917440

Bases of 681684037009408000

• Binary: 100101110101110101000000010100011011000000000000000000000000₂
• Hexadecimal: 0x975D4051B000000
• Base-36: 56G4TNCZ52PS

Squares and roots of 681684037009408000

• 681684037009408000 squared (681684037009408000²) is 464693126313443935840280510464000000
• 681684037009408000 cubed (681684037009408000³) is 316773886315871222489128286133905622210445312000000000
• The square root of 681684037009408000 is 825641591.1334699713
• The cube root of 681684037009408000 is 880091.2599094991

Scales and comparisons

• 681,684,037,009,408,000 seconds is equal to 21,675,443,789 years, 37 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 681,684,037,009,408,000 would take you about sixty-five billion, twenty-six million, three hundred thirty-one thousand, three hundred sixty-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 681684037009408000 cubic inches would be around 73340.9 feet tall.

Recreational maths with 681684037009408000

• 681684037009408000 backwards is 000804900730486186
• 681684037009408000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 681684037009408000's digits is 64
• More coming soon!