345703433893974016

Names of 345703433893974016

• Cardinal: 345703433893974016 can be written as Three hundred forty-five quadrillion, seven hundred three trillion, four hundred thirty-three billion, eight hundred ninety-three million, nine hundred seventy-four thousand and sixteen.

Scientific notation

• Scientific notation: 3.45703433893974016 × 10¹⁷

Factors of 345703433893974016

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 442

Divisors of 345703433893974016

• Number of divisors d(n): 325
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 433 448 512 686 784 866 896 1024 1372 1568 1732 1792 2048 2401 2744 3031 3136 3464 3584 4096 4802 5488 6062 6272 6928 7168 9604 10976 12124 12544 13856 14336 19208 21217 21952 24248 25088 27712 28672 38416 42434 43904 48496 50176 55424 76832 84868 87808 96992 100352 110848 148519 153664 169736 175616 187489 193984 200704 221696 297038 307328 339472 351232 374978 387968 443392 594076 614656 678944 702464 749956 775936 886784 1039633 1188152 1229312 1312423 1357888 1404928 1499912 1551872 1773568 2079266 2376304 2458624 2624846 2715776 2999824 3103744 4158532 4752608 4917248 5249692 5431552 5999648 6207488 8317064 9186961 9505216 9834496 10499384 10863104 11999296 12414976 16634128 18373922 19010432 20998768 21726208 23998592 33268256 36747844 38020864 41997536 43452416 47997184 64308727 66536512 73495688 76041728 81182737 83995072 86904832 95994368 128617454 133073024 146991376 152083456 162365474 167990144 191988736 257234908 266146048 293982752 304166912 324730948 335980288 383977472 450161089 514469816 532292096 568279159 587965504 608333824 649461896 671960576 767954944 900322178 1028939632 1064584192 1136558318 1175931008 1298923792 1343921152 1800644356 2057879264 2129168384 2273116636 2351862016 2597847584 2687842304 3601288712 3977954113 4115758528 4258336768 4546233272 4703724032 5195695168 5375684608 7202577424 7955908226 8231517056 9092466544 9407448064 10391390336 14405154848 15911816452 16463034112 18184933088 18814896128 20782780672 27845678791 28810309696 31823632904 32926068224 35152125121 36369866176 37629792256 41565561344 55691357582 57620619392 63647265808 65852136448 70304250242 72739732352 83131122688 111382715164 115241238784 127294531616 131704272896 140608500484 145479464704 166262245376 194919751537 222765430328 230482477568 246064875847 254589063232 263408545792 281217000968 290958929408 332524490752 389839503074 445530860656 460964955136 492129751694 509178126464 562434001936 581917858816 779679006148 891061721312 921929910272 984259503388 1018356252928 1124868003872 1163835717632 1559358012296 1722454130929 1782123442624 1843859820544 1968519006776 2036712505856 2249736007744 2327671435264 3118716024592 3444908261858 3564246885248 3937038013552 4073425011712 4499472015488 6237432049184 6889816523716 7128493770496 7874076027104 8146850023424 8998944030976 12057178916503 12474864098368 13779633047432 14256987540992 15748152054208 16293700046848 17997888061952 24114357833006 24949728196736 27559266094864 28513975081984 31496304108416 35995776123904 48228715666012 49899456393472 55118532189728 57027950163968 62992608216832 71991552247808 84400252415521 96457431332024 99798912786944 110237064379456 114055900327936 125985216433664 143983104495616 168800504831042 192914862664048 199597825573888 220474128758912 251970432867328 337601009662084 385829725328096 399195651147776 440948257517824 503940865734656 675202019324168 771659450656192 798391302295552 881896515035648 1007881731469312 1350404038648336 1543318901312384 1763793030071296 2700808077296672 3086637802624768 3527586060142592 5401616154593344 6173275605249536 7055172120285184 10803232309186688 12346551210499072 21606464618373376 24693102420998144 43212929236746752 49386204841996288 86425858473493504 172851716946987008 345703433893974016
• Sum of all divisors σ(n): 808361776602020971
• Sum of proper divisors (its aliquot sum) s(n): 462658342708046955
• 345703433893974016 is an abundant number, because the sum of its proper divisors (462658342708046955) is greater than itself. Its abundance is 116954908814072939

Bases of 345703433893974016

• Binary: 10011001100001011110111000100000110111000100001000000000000₂
• Hexadecimal: 0x4CC2F7106E21000
• Base-36: 2MJXN12UBDOG

Squares and roots of 345703433893974016

• 345703433893974016 squared (345703433893974016²) is 119510864206085262487183397283168256
• 345703433893974016 cubed (345703433893974016³) is 41315316143680101962470112685475629413580263020036096
• 345703433893974016 is a perfect square number. Its square root is 587965504
• The cube root of 345703433893974016 is 701834.2600352697

Scales and comparisons

• 345,703,433,893,974,016 seconds is equal to 10,992,299,866 years, 46 weeks, 4 days, 15 hours, 16 seconds.
• To count from 1 to 345,703,433,893,974,016 would take you about thirty-two billion, nine hundred seventy-six million, eight hundred ninety-nine thousand, six hundred 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 345703433893974016 cubic inches would be around 58486.2 feet tall.

Recreational maths with 345703433893974016

• 345703433893974016 backwards is 610479398334307543
• The number of decimal digits it has is: 18
• The sum of 345703433893974016's digits is 79
• More coming soon!