345121727101676494848

Names of 345121727101676494848

• Cardinal: 345121727101676494848 can be written as Three hundred forty-five quintillion, one hundred twenty-one quadrillion, seven hundred twenty-seven trillion, one hundred one billion, six hundred seventy-six million, four hundred ninety-four thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 3.45121727101676494848 × 10²⁰

Factors of 345121727101676494848

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 414

Divisors of 345121727101676494848

• Number of divisors d(n): 294
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 409 512 576 768 818 1024 1152 1227 1536 1636 2048 2304 2454 3072 3272 3681 4096 4608 4908 6144 6544 7362 8192 9216 9816 12288 13088 14724 18432 19632 24576 26176 29448 36864 39264 52352 58896 73728 78528 104704 117792 157056 167281 209408 235584 314112 334562 418816 471168 501843 628224 669124 837632 942336 1003686 1256448 1338248 1505529 1675264 1884672 2007372 2512896 2676496 3011058 3350528 3769344 4014744 5025792 5352992 6022116 7538688 8029488 10051584 10705984 12044232 15077376 16058976 21411968 24088464 30154752 32117952 42823936 48176928 64235904 68417929 85647872 96353856 128471808 136835858 171295744 192707712 205253787 256943616 273671716 342591488 385415424 410507574 513887232 547343432 615761361 685182976 770830848 821015148 1027774464 1094686864 1231522722 1370365952 1541661696 1642030296 2055548928 2189373728 2463045444 3083323392 3284060592 4111097856 4378747456 4926090888 6166646784 6568121184 8757494912 9852181776 12333293568 13136242368 17514989824 19704363552 26272484736 27982932961 35029979648 39408727104 52544969472 55965865922 70059959296 78817454208 83948798883 105089938944 111931731844 140119918592 157634908416 167897597766 210179877888 223863463688 251846396649 280239837184 315269816832 335795195532 420359755776 447726927376 503692793298 560479674368 630539633664 671590391064 840719511552 895453854752 1007385586596 1261079267328 1343180782128 1681439023104 1790907709504 2014771173192 2522158534656 2686361564256 3581815419008 4029542346384 5044317069312 5372723128512 7163630838016 8059084692768 10745446257024 11445019581049 14327261676032 16118169385536 21490892514048 22890039162098 28654523352064 32236338771072 34335058743147 42981785028096 45780078324196 57309046704128 64472677542144 68670117486294 85963570056192 91560156648392 103005176229441 114618093408256 128945355084288 137340234972588 171927140112384 183120313296784 206010352458882 229236186816512 257890710168576 274680469945176 343854280224768 366240626593568 412020704917764 515781420337152 549360939890352 687708560449536 732481253187136 824041409835528 1031562840674304 1098721879780704 1464962506374272 1648082819671056 2063125681348608 2197443759561408 2929925012748544 3296165639342112 4394887519122816 4681013008649041 5859850025497088 6592331278684224 8789775038245632 9362026017298082 11719700050994176 13184662557368448 14043039025947123 17579550076491264 18724052034596164 23439400101988352 26369325114736896 28086078051894246 35159100152982528 37448104069192328 42129117077841369 46878800203976704 52738650229473792 56172156103788492 70318200305965056 74896208138384656 84258234155682738 93757600407953408 105477300458947584 112344312207576984 140636400611930112 149792416276769312 168516468311365476 210954600917895168 224688624415153968 281272801223860224 299584832553538624 337032936622730952 421909201835790336 449377248830307936 599169665107077248 674065873245461904 843818403671580672 898754497660615872 1198339330214154496 1348131746490923808 1797508995321231744 2396678660428308992 2696263492981847616 3595017990642463488 4793357320856617984 5392526985963695232 7190035981284926976 9586714641713235968 10785053971927390464 14380071962569853952 19173429283426471936 21570107943854780928 28760143925139707904 38346858566852943872 43140215887709561856 57520287850279415808 86280431775419123712 115040575700558831616 172560863550838247424 345121727101676494848
• Sum of all divisors σ(n): 999400992778792200909
• Sum of proper divisors (its aliquot sum) s(n): 654279265677115706061
• 345121727101676494848 is an abundant number, because the sum of its proper divisors (654279265677115706061) is greater than itself. Its abundance is 309157538575439211213

Bases of 345121727101676494848

• Binary: 100101011010110000110101011100100010000000100101110110010000000000000₂
• Hexadecimal: 0x12B586AE4404BB2000
• Base-36: 20U2MPVFR2GOW0

Squares and roots of 345121727101676494848

• 345121727101676494848 squared (345121727101676494848²) is 119109006517644064004834834596575370543104
• 345121727101676494848 cubed (345121727101676494848³) is 41107106042734161628188769560614811474450608242077604817928192
• The square root of 345121727101676494848 is 18577452115.4456618033
• The cube root of 345121727101676494848 is 7014403.8586345351
• Being both a perfect square and a perfect cube, 345121727101676494848 is also a perfect sixth number.

Scales and comparisons

• 345,121,727,101,676,494,848 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 345,121,727,101,676,494,848 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 345121727101676494848 cubic inches would be around 584533.7 feet tall.

Recreational maths with 345121727101676494848

• 345121727101676494848 backwards is 848494676101727121543
• The number of decimal digits it has is: 21
• The sum of 345121727101676494848's digits is 90
• More coming soon!