13705866201949768

Names of 13705866201949768

• Cardinal: 13705866201949768 can be written as Thirteen quadrillion, seven hundred five trillion, eight hundred sixty-six billion, two hundred one million, nine hundred forty-nine thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.3705866201949768 × 10¹⁶

Factors of 13705866201949768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 236426

Divisors of 13705866201949768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 11 14 17 22 28 31 34 44 49 56 62 68 77 88 98 119 124 136 154 187 196 217 238 248 308 341 374 392 434 476 527 539 616 682 748 833 868 952 1054 1078 1309 1364 1496 1519 1666 1736 2108 2156 2387 2618 2728 3038 3332 3689 4216 4312 4774 5236 5797 6076 6664 7378 9163 9548 10472 11594 12152 14756 16709 18326 19096 23188 25823 29101 29512 33418 36652 40579 46376 51646 58202 66836 73304 81158 103292 116404 133672 162316 203707 206584 207257 232808 284053 320111 324632 407414 414514 494717 568106 640222 814828 829028 902131 989434 1136212 1280444 1425949 1450799 1629656 1658056 1804262 1978868 2240777 2272424 2279827 2560888 2851898 2901598 3463019 3523369 3608524 3957736 4481554 4559654 5441887 5703796 5803196 6314917 6424967 6926038 7046738 7217048 8963108 9119308 9923441 10155593 10883774 11407592 11606392 12629834 12849934 13852076 14093476 15336227 15685439 15958789 17926216 18238616 19846882 20311186 21767548 24241133 24663583 25259668 25699868 27704152 28186952 30672454 31370878 31917578 38093209 38757059 39693764 40622372 43535096 44204419 44974769 48482266 49327166 50519336 51399736 61344908 62741756 63835156 69464087 70674637 76186418 77514118 79387528 81244744 88408838 89949538 96964532 98654332 107353589 109224439 111711523 122689816 125483512 127670312 138928174 141349274 152372836 155028236 168698497 172645081 176817676 179899076 193929064 197308664 214707178 218448878 223423046 266652463 271299413 277856348 282698548 304745672 310056472 314823383 337396994 345290162 353635352 359798152 429414356 436897756 446846092 486248609 494722459 533304926 542598826 555712696 565397096 629646766 674793988 690580324 751475123 764571073 858828712 873795512 893692184 972497218 989444918 1066609852 1085197652 1180889479 1201468829 1259293532 1349587976 1381160648 1502950246 1529142146 1899095891 1944994436 1978889836 2133219704 2170395304 2361778958 2402937658 2518587064 3005900492 3058284292 3463057213 3798191782 3889988872 3957779672 4723557916 4805875316 5351997511 6011800984 6031385957 6116568584 6926114426 7596383564 8266226353 8410281803 9447115832 9611750632 10703995022 12062771914 13852228852 15192767128 16532452706 16820563606 21407990044 24125543828 27704457704 33064905412 33641127212 42219701699 42815980088 48251087656 58871972621 66129810824 66345245527 67282254424 84439403398 102533561269 117743945242 132690491054 168878806796 186972964667 205067122538 235487890484 265380982108 295537911893 337757613592 373945929334 410134245076 464416718689 470975780968 530761964216 591075823786 717734928883 747891858668 820268490152 928833437378 1127869173959 1182151647572 1308810752669 1435469857766 1495783717336 1857666874756 2056702611337 2255738347918 2364303295144 2617621505338 2870939715532 3178540399339 3250917030823 3715333749512 4113405222674 4511476695836 5024144502181 5235243010676 5741879431064 6357080798678 6501834061646 7895084217713 8226810445348 9022953391672 9161675268683 10048289004362 10470486021352 12714161597356 13003668123292 14396918279359 15790168435426 16453620890696 18323350537366 20096578008724 22249782795373 25428323194712 26007336246584 28793836558718 31580336870852 34963944392729 36646701074732 40193156017448 44499565590746 55265589523991 57587673117436 63160673741704 69927888785458 73293402149464 88999131181492 100778427955513 110531179047982 115175346234872 139855777570916 155748479567611 177998262362984 201556855911026 221062358095964 244747610749103 279711555141832 311496959135222 403113711822052 442124716191928 489495221498206 622993918270444 806227423644104 978990442996412 1245987836540888 1713233275243721 1957980885992824 3426466550487442 6852933100974884 13705866201949768
• Sum of all divisors σ(n): 35645440298204160
• Sum of proper divisors (its aliquot sum) s(n): 21939574096254392
• 13705866201949768 is an abundant number, because the sum of its proper divisors (21939574096254392) is greater than itself. Its abundance is 8233707894304624

Bases of 13705866201949768

• Binary: 110000101100010110100110100110010011100110011001001000₂
• Hexadecimal: 0x30B169A64E6648
• Base-36: 3QYBO0DNUBS

Squares and roots of 13705866201949768

• 13705866201949768 squared (13705866201949768²) is 187850768345748958661884795253824
• 13705866201949768 cubed (13705866201949768³) is 2574657496880295983105078299195572575821257912832
• The square root of 13705866201949768 is 117072055.5980365795
• The cube root of 13705866201949768 is 239314.3986620139

Scales and comparisons

• 13,705,866,201,949,768 seconds is equal to 435,804,150 years, 10 weeks, 17 hours, 9 minutes, 28 seconds.
• To count from 1 to 13,705,866,201,949,768 would take you about one billion, three hundred seven million, four hundred twelve thousand, four hundred fifty 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 13705866201949768 cubic inches would be around 19942.9 feet tall.

Recreational maths with 13705866201949768

• 13705866201949768 backwards is 86794910266850731
• The number of decimal digits it has is: 17
• The sum of 13705866201949768's digits is 82
• More coming soon!