34123199134302208

Names of 34123199134302208

• Cardinal: 34123199134302208 can be written as Thirty-four quadrillion, one hundred twenty-three trillion, one hundred ninety-nine billion, one hundred thirty-four million, three hundred two thousand, two hundred eight.

Scientific notation

• Scientific notation: 3.4123199134302208 × 10¹⁶

Factors of 34123199134302208

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 190

Divisors of 34123199134302208

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 181 196 224 256 343 362 392 448 512 686 724 784 896 1024 1267 1372 1448 1568 1792 2048 2534 2744 2896 3136 3584 4096 5068 5488 5792 6272 7168 8192 8869 10136 10976 11584 12544 14336 16384 17738 20272 21952 23168 25088 28672 32761 32768 35476 40544 43904 46336 50176 57344 62083 65522 65536 70952 81088 87808 92672 100352 114688 124166 131044 131072 141904 162176 175616 185344 200704 229327 229376 248332 262088 262144 283808 324352 351232 370688 401408 458654 458752 496664 524176 524288 567616 648704 702464 741376 802816 917308 917504 993328 1048352 1048576 1135232 1297408 1404928 1482752 1605289 1605632 1834616 1835008 1986656 2096704 2097152 2270464 2594816 2809856 2965504 3210578 3211264 3669232 3670016 3973312 4193408 4194304 4540928 5189632 5619712 5929741 5931008 6421156 6422528 7338464 7340032 7946624 8386816 8388608 9081856 10379264 11237023 11239424 11859482 11862016 12842312 12845056 14676928 14680064 15893248 16773632 16777216 18163712 20758528 22474046 22478848 23718964 23724032 25684624 25690112 29353856 29360128 31786496 33547264 36327424 41508187 41517056 44948092 44957696 47437928 47448064 51369248 51380224 58707712 58720256 63572992 67094528 72654848 83016374 83034112 89896184 89915392 94875856 94896128 102738496 102760448 117415424 117440512 127145984 134189056 145309696 166032748 166068224 179792368 179830784 189751712 189792256 205476992 205520896 234830848 254291968 268378112 290557309 290619392 332065496 332136448 359584736 359661568 379503424 379584512 410953984 411041792 469661696 508583936 536756224 581114618 581238784 664130992 664272896 719169472 719323136 759006848 759169024 821907968 822083584 939323392 1017167872 1073512448 1162229236 1162477568 1328261984 1328545792 1438338944 1438646272 1518013696 1518338048 1643815936 1878646784 2033901163 2034335744 2147024896 2324458472 2324955136 2656523968 2657091584 2876677888 2877292544 3036027392 3036676096 3287631872 3757293568 4067802326 4068671488 4294049792 4648916944 4649910272 5313047936 5314183168 5753355776 5754585088 6072054784 6575263744 7514587136 8135604652 8137342976 8588099584 9297833888 9299820544 10626095872 10628366336 11506711552 12144109568 13150527488 15029174272 16271209304 16274685952 17176199168 18595667776 18599641088 21252191744 21256732672 23013423104 24288219136 26301054976 30058348544 32542418608 32549371904 34352398336 37191335552 37199282176 42504383488 46026846208 48576438272 52602109952 60116697088 65084837216 65098743808 68704796672 74382671104 74398564352 85008766976 92053692416 97152876544 105204219904 120233394176 130169674432 130197487616 137409593344 148765342208 148797128704 170017533952 184107384832 194305753088 210408439808 240466788352 260339348864 260394975232 274819186688 297530684416 340035067904 368214769664 388611506176 420816879616 480933576704 520678697728 520789950464 549638373376 595061368832 680070135808 736429539328 777223012352 841633759232 961867153408 1041357395456 1041579900928 1190122737664 1360140271616 1472859078656 1554446024704 1683267518464 1923734306816 2082714790912 2380245475328 2720280543232 2945718157312 3108892049408 3366535036928 3847468613632 4165429581824 4760490950656 5440561086464 5891436314624 6217784098816 6733070073856 8330859163648 9520981901312 10881122172928 11782872629248 12435568197632 13466140147712 16661718327296 19041963802624 21762244345856 23565745258496 24871136395264 26932280295424 33323436654592 38083927605248 43524488691712 47131490516992 49742272790528 66646873309184 76167855210496 87048977383424 94262981033984 99484545581056 133293746618368 152335710420992 174097954766848 188525962067968 266587493236736 304671420841984 348195909533696 533174986473472 609342841683968 696391819067392 1066349972946944 1218685683367936 2132699945893888 2437371366735872 4265399891787776 4874742733471744 8530799783575552 17061599567151104 34123199134302208
• Sum of all divisors σ(n): 80029787541121600
• Sum of proper divisors (its aliquot sum) s(n): 45906588406819392
• 34123199134302208 is an abundant number, because the sum of its proper divisors (45906588406819392) is greater than itself. Its abundance is 11783389272517184

Bases of 34123199134302208

• Binary: 1111001001110101101111001101011000000000000000000000000₂
• Hexadecimal: 0x793ADE6B000000
• Base-36: 9BZNX9TO4XS

Squares and roots of 34123199134302208

• 34123199134302208 squared (34123199134302208²) is 1164392719159242957483867073675264
• 34123199134302208 cubed (34123199134302208³) is 39732804626402473289780768243102167222622630182912
• The square root of 34123199134302208 is 184724657.6239950919
• 34123199134302208 is a perfect cube number. Its cube root is 324352

Scales and comparisons

• 34,123,199,134,302,208 seconds is equal to 1,085,012,182 years, 25 weeks, 1 day, 19 hours, 3 minutes, 28 seconds.
• To count from 1 to 34,123,199,134,302,208 would take you about three billion, two hundred fifty-five million, thirty-six thousand, five hundred forty-seven 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 34123199134302208 cubic inches would be around 27029.3 feet tall.

Recreational maths with 34123199134302208

• 34123199134302208 backwards is 80220343199132143
• The number of decimal digits it has is: 17
• The sum of 34123199134302208's digits is 55
• More coming soon!