13106213419118688

Names of 13106213419118688

• Cardinal: 13106213419118688 can be written as Thirteen quadrillion, one hundred six trillion, two hundred thirteen billion, four hundred nineteen million, one hundred eighteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3106213419118688 × 10¹⁶

Factors of 13106213419118688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1281667

Divisors of 13106213419118688

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 881 1056 1584 1762 2643 3168 3524 3677 5286 7048 7354 7929 9691 10572 11031 14096 14708 15858 19382 21144 22062 28192 29073 29416 31716 33093 38764 40447 42288 44124 58146 58832 63432 66186 77528 80894 84576 87219 88248 116292 117664 121341 126864 132372 155056 161788 174438 176496 232584 242682 253728 264744 310112 323576 348876 352992 364023 465168 485364 529488 647152 697752 728046 930336 970728 1058976 1277093 1294304 1395504 1456092 1941456 2554186 2791008 2912184 3239437 3831279 3882912 5108372 5824368 6478874 7662558 9718311 10216744 11493837 11648736 12957748 14048023 15325116 19436622 20433488 22987674 25915496 28096046 29154933 30650232 35633807 38873244 40866976 42144069 45975348 51830992 56192092 58309866 61300464 71267614 77746488 84288138 91950696 103661984 106901421 112384184 116619732 122600928 126432207 142535228 155492976 168576276 183901392 213802842 224768368 233239464 252864414 285070456 310985952 320704263 337152552 367802784 427605684 449536736 466478928 505728828 570140912 641408526 674305104 855211368 932957856 1011457656 1125118933 1140281824 1282817052 1348610208 1710422736 2022915312 2250237866 2565634104 3375356799 3420845472 4045830624 4500475732 4695870961 5131268208 6750713598 9000951464 9391741922 10126070397 10262536416 12376308263 13501427196 14087612883 18001902928 18783483844 20252140794 24752616526 27002854392 28175225766 36003805856 37128924789 37566967688 40504281588 42262838649 49505233052 51654580571 54005708784 56350451532 74257849578 75133935376 81008563176 84525677298 99010466104 103309161142 108011417568 111386774367 112700903064 148515699156 150267870752 154963741713 162017126352 169051354596 198020932208 206618322284 222773548734 225401806128 297031398312 309927483426 324034252704 338102709192 396041864416 413236644568 445547097468 450803612256 464891225139 594062796624 619854966852 676205418384 826473289136 891094194936 929782450278 1188125593248 1239709933704 1352410836768 1652946578272 1782188389872 1859564900556 2479419867408 3564376779744 3719129801112 4137062316641 4958839734816 7438259602224 8274124633282 12411186949923 14876519204448 16548249266564 24822373899846 33096498533128 37233560849769 45507685483051 49644747799692 66192997066256 74467121699538 91015370966102 99289495599384 132385994132512 136523056449153 148934243399076 182030741932204 198578991198768 273046112898306 297868486798152 364061483864408 397157982397536 409569169347459 546092225796612 595736973596304 728122967728816 819138338694918 1092184451593224 1191473947192608 1456245935457632 1638276677389836 2184368903186448 3276553354779672 4368737806372896 6553106709559344 13106213419118688
• Sum of all divisors σ(n): 40716301569888672
• Sum of proper divisors (its aliquot sum) s(n): 27610088150769984
• 13106213419118688 is an abundant number, because the sum of its proper divisors (27610088150769984) is greater than itself. Its abundance is 14503874731651296

Bases of 13106213419118688

• Binary: 101110100100000000100000011011001100100111000001100000₂
• Hexadecimal: 0x2E90081B327060
• Base-36: 3L1RJBPC9K0

Squares and roots of 13106213419118688

• 13106213419118688 squared (13106213419118688²) is 171772830187486770077562630841344
• 13106213419118688 cubed (13106213419118688³) is 2251291372043234765544811452912731746324433436672
• The square root of 13106213419118688 is 114482371.6522272611
• The cube root of 13106213419118688 is 235772.1000825181

Scales and comparisons

• 13,106,213,419,118,688 seconds is equal to 416,737,046 years, 28 weeks, 3 days, 12 hours, 4 minutes, 48 seconds.
• To count from 1 to 13,106,213,419,118,688 would take you about one billion, two hundred fifty million, two hundred eleven thousand, one hundred thirty-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 13106213419118688 cubic inches would be around 19647.7 feet tall.

Recreational maths with 13106213419118688

• 13106213419118688 backwards is 88681191431260131
• The number of decimal digits it has is: 17
• The sum of 13106213419118688's digits is 63
• More coming soon!