13953138113427456

Names of 13953138113427456

• Cardinal: 13953138113427456 can be written as Thirteen quadrillion, nine hundred fifty-three trillion, one hundred thirty-eight billion, one hundred thirteen million, four hundred twenty-seven thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 1.3953138113427456 × 10¹⁶

Factors of 13953138113427456

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 57

Divisors of 13953138113427456

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 512 529 552 667 696 736 768 928 1024 1058 1104 1334 1392 1472 1536 1587 1856 2001 2048 2116 2208 2668 2784 2944 3072 3174 3712 4002 4232 4416 5336 5568 5888 6144 6348 7424 8004 8464 8832 10672 11136 11776 12167 12696 14848 15341 16008 16928 17664 21344 22272 23552 24334 25392 29696 30682 32016 33856 35328 36501 42688 44544 46023 47104 48668 50784 59392 61364 64032 67712 70656 73002 85376 89088 92046 97336 101568 122728 128064 135424 141312 146004 170752 178176 184092 194672 203136 245456 256128 270848 279841 292008 341504 352843 368184 389344 406272 490912 512256 541696 559682 584016 683008 705686 736368 778688 812544 839523 981824 1024512 1058529 1083392 1119364 1168032 1366016 1411372 1472736 1557376 1625088 1679046 1963648 2049024 2117058 2238728 2336064 2822744 2945472 3114752 3250176 3358092 3927296 4098048 4234116 4477456 4672128 5645488 5890944 6229504 6436343 6716184 7854592 8115389 8468232 8954912 9344256 11290976 11781888 12459008 12872686 13432368 15709184 16230778 16936464 17909824 18688512 19309029 22581952 23563776 24346167 24918016 25745372 26864736 31418368 32461556 33872928 35819648 37377024 38618058 45163904 47127552 48692334 51490744 53729472 64923112 67745856 71639296 74754048 77236116 90327808 94255104 97384668 102981488 107458944 129846224 135491712 143278592 148035889 154472232 180655616 186653947 194769336 205962976 214917888 259692448 270983424 286557184 296071778 308944464 361311232 373307894 389538672 411925952 429835776 444107667 519384896 541966848 559961841 573114368 592143556 617888928 722622464 746615788 779077344 823851904 859671552 888215334 1038769792 1083933696 1119923682 1184287112 1235777856 1493231576 1558154688 1647703808 1719343104 1776430668 2077539584 2167867392 2239847364 2368574224 2471555712 2986463152 3116309376 3295407616 3404825447 3552861336 4155079168 4293040781 4479694728 4737148448 4943111424 5972926304 6232618752 6590815232 6809650894 7105722672 8310158336 8586081562 8959389456 9474296896 9886222848 10214476341 11945852608 12465237504 12879122343 13181630464 13619301788 14211445344 16620316672 17172163124 17918778912 18948593792 19772445696 20428952682 23891705216 24930475008 25758244686 27238603576 28422890688 34344326248 35837557824 37897187584 39544891392 40857905364 47783410432 49860950016 51516489372 54477207152 56845781376 68688652496 71675115648 75794375168 78310985281 81715810728 95566820864 98739937963 103032978744 108954414304 113691562752 137377304992 143350231296 151588750336 156621970562 163431621456 191133641728 197479875926 206065957488 217908828608 227383125504 234932955843 274754609984 286700462592 296219813889 303177500672 313243941124 326863242912 382267283456 394959751852 412131914976 435817657216 454766251008 469865911686 549509219968 573400925184 592439627778 626487882248 653726485824 789919503704 824263829952 871635314432 909532502016 939731823372 1099018439936 1146801850368 1184879255556 1252975764496 1307452971648 1579839007408 1648527659904 1743270628864 1879463646744 2198036879872 2271018573149 2369758511112 2505951528992 2614905943296 3159678014816 3297055319808 3486541257728 3758927293488 4396073759744 4542037146298 4739517022224 5011903057984 5229811886592 6319356029632 6594110639616 6813055719447 6973082515456 7517854586976 8792147519488 9084074292596 9479034044448 10023806115968 10459623773184 12638712059264 13188221279232 13626111438894 15035709173952 18168148585192 18958068088896 20047612231936 20919247546368 25277424118528 26376442558464 27252222877788 30071418347904 36336297170384 37916136177792 40095224463872 50554848237056 54504445755576 60142836695808 72672594340768 75832272355584 80190448927744 101109696474112 109008891511152 120285673391616 145345188681536 151664544711168 160380897855488 202219392948224 218017783022304 240571346783232 290690377363072 303329089422336 436035566044608 481142693566464 581380754726144 606658178844672 872071132089216 1162761509452288 1744142264178432 2325523018904576 3488284528356864 4651046037809152 6976569056713728 13953138113427456
• Sum of all divisors σ(n): 40231200811019400
• Sum of proper divisors (its aliquot sum) s(n): 26278062697591944
• 13953138113427456 is an abundant number, because the sum of its proper divisors (26278062697591944) is greater than itself. Its abundance is 12324924584164488

Bases of 13953138113427456

• Binary: 110001100100100100111000100000110000001011100000000000₂
• Hexadecimal: 0x31924E20C0B800
• Base-36: 3TDZ35PDUDC

Squares and roots of 13953138113427456

• 13953138113427456 squared (13953138113427456²) is 194690063212381905979643774631936
• 13953138113427456 cubed (13953138113427456³) is 2716537341314286621496662073982483357905836834816
• The square root of 13953138113427456 is 118123402.0566096631
• The cube root of 13953138113427456 is 240745.0119737751

Scales and comparisons

• 13,953,138,113,427,456 seconds is equal to 443,666,632 years, 6 weeks, 14 hours, 17 minutes, 36 seconds.
• To count from 1 to 13,953,138,113,427,456 would take you about one billion, three hundred thirty million, nine hundred ninety-nine thousand, eight hundred ninety-six 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 13953138113427456 cubic inches would be around 20062.1 feet tall.

Recreational maths with 13953138113427456

• 13953138113427456 backwards is 65472431183135931
• The number of decimal digits it has is: 17
• The sum of 13953138113427456's digits is 66
• More coming soon!