340128311198101504

Names of 340128311198101504

• Cardinal: 340128311198101504 can be written as Three hundred forty quadrillion, one hundred twenty-eight trillion, three hundred eleven billion, one hundred ninety-eight million, one hundred one thousand, five hundred four.

Scientific notation

• Scientific notation: 3.40128311198101504 × 10¹⁷

Factors of 340128311198101504

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 622

Divisors of 340128311198101504

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 607 676 832 1024 1214 1352 1664 2048 2197 2428 2704 3328 4096 4394 4856 5408 6656 7891 8788 9712 10816 13312 15782 17576 19424 21632 26624 28561 31564 35152 38848 43264 53248 57122 63128 70304 77696 86528 102583 114244 126256 140608 155392 173056 205166 228488 252512 281216 310784 346112 368449 371293 410332 456976 505024 562432 621568 692224 736898 742586 820664 913952 1010048 1124864 1243136 1333579 1473796 1485172 1641328 1827904 2020096 2249728 2486272 2667158 2947592 2970344 3282656 3655808 4040192 4499456 4789837 5334316 5895184 5940688 6565312 7311616 8080384 8998912 9579674 10668632 11790368 11881376 13130624 14623232 16160768 17336527 19159348 21337264 23580736 23762752 26261248 29246464 32321536 34673054 38318696 42674528 47161472 47525504 52522496 58492928 62267881 69346108 76637392 85349056 94322944 95051008 105044992 116985856 124535762 138692216 153274784 170698112 188645888 190102016 210089984 223648543 225374851 249071524 277384432 306549568 341396224 377291776 380204032 420179968 447297086 450749702 498143048 554768864 613099136 682792448 754583552 760408064 809482453 894594172 901499404 996286096 1109537728 1226198272 1365584896 1509167104 1520816128 1618964906 1789188344 1802998808 1992572192 2219075456 2452396544 2731169792 2907431059 3237929812 3578376688 3605997616 3985144384 4438150912 4904793088 5462339584 5814862118 6475859624 7156753376 7211995232 7970288768 8876301824 9809586176 10523271889 11629724236 12951719248 14313506752 14423990464 15940577536 17752603648 19619172352 21046543778 23259448472 25903438496 28627013504 28847980928 31881155072 35505207296 37796603767 42093087556 46518896944 51806876992 57254027008 57695961856 63762310144 71010414592 75593207534 84186175112 93037793888 103613753984 114508054016 115391923712 127524620288 136802534557 151186415068 168372350224 186075587776 207227507968 229016108032 230783847424 255049240576 273605069114 302372830136 336744700448 372151175552 414455015936 458032216064 461567694848 491355848971 547210138228 604745660272 673489400896 744302351104 828910031872 916064432128 923135389696 982711697942 1094420276456 1209491320544 1346978801792 1488604702208 1657820063744 1965423395884 2188840552912 2418982641088 2693957603584 2977209404416 3315640127488 3930846791768 4377681105824 4837965282176 5387915207168 5954418808832 6387626036623 7861693583536 8755362211648 9675930564352 10775830414336 11908837617664 12775252073246 15723387167072 17510724423296 19351861128704 21551660828672 25550504146492 31446774334144 35021448846592 38703722257408 43103321657344 51101008292984 62893548668288 70042897693184 77407444514816 83039138476099 102202016585968 125787097336576 140085795386368 154814889029632 166078276952198 204404033171936 251574194673152 280171590772736 332156553904396 408808066343872 503148389346304 560343181545472 664313107808792 817616132687744 1006296778692608 1328626215617584 1635232265375488 2012593557385216 2657252431235168 3270464530750976 5314504862470336 6540929061501952 10629009724940672 13081858123003904 21258019449881344 26163716246007808 42516038899762688 85032077799525376 170064155599050752 340128311198101504
• Sum of all divisors σ(n): 738070494153014400
• Sum of proper divisors (its aliquot sum) s(n): 397942182954912896
• 340128311198101504 is an abundant number, because the sum of its proper divisors (397942182954912896) is greater than itself. Its abundance is 57813871756811392

Bases of 340128311198101504

• Binary: 10010111000011000001110010110011111000001000011000000000000₂
• Hexadecimal: 0x4B860E59F043000
• Base-36: 2L11F92ILGCG

Squares and roots of 340128311198101504

• 340128311198101504 squared (340128311198101504²) is 115687268078472580963403693887062016
• 340128311198101504 cubed (340128311198101504³) is 39348515118652916222889859524579468972517567510872064
• The square root of 340128311198101504 is 583205205.0505906655
• The cube root of 340128311198101504 is 698040.9928758397

Scales and comparisons

• 340,128,311,198,101,504 seconds is equal to 10,815,028,210 years, 8 weeks, 13 hours, 5 minutes, 4 seconds.
• To count from 1 to 340,128,311,198,101,504 would take you about thirty-two billion, four hundred forty-five million, eighty-four thousand, six hundred thirty 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 340128311198101504 cubic inches would be around 58170.1 feet tall.

Recreational maths with 340128311198101504

• 340128311198101504 backwards is 405101891113821043
• 340128311198101504 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 340128311198101504's digits is 52
• More coming soon!