12804831600816128

Names of 12804831600816128

• Cardinal: 12804831600816128 can be written as Twelve quadrillion, eight hundred four trillion, eight hundred thirty-one billion, six hundred million, eight hundred sixteen thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.2804831600816128 × 10¹⁶

Factors of 12804831600816128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 7078

Divisors of 12804831600816128

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 8 16 19 23 32 38 46 64 76 92 128 151 152 184 256 302 304 368 437 512 604 608 736 874 1024 1208 1216 1472 1748 2048 2416 2432 2869 2944 3473 3496 4096 4832 4864 5738 5888 6883 6946 6992 9664 9728 11476 11776 13766 13892 13984 19328 19456 22952 23552 27532 27784 27968 38656 38912 45904 47104 55064 55568 55936 65987 77312 77824 91808 94208 110128 111136 111872 130777 131974 154624 158309 183616 220256 222272 223744 261554 263948 309248 316618 367232 440512 444544 447488 523108 527896 618496 633236 734464 881024 889088 894976 1039333 1046216 1055792 1266472 1468928 1762048 1778176 1789952 2078666 2092432 2111584 2532944 2937856 3007871 3524096 3556352 4157332 4184864 4223168 5065888 5875712 6015742 7048192 7112704 8314664 8369728 8446336 10131776 11751424 12031484 14096384 14225408 16629328 16739456 16892672 19747327 20263552 23904659 24062968 28192768 33258656 33478912 33785344 39494654 40527104 47375689 47809318 48125936 66517312 66957824 67570688 78989308 81054208 94751378 95618636 96251872 133034624 133915648 135141376 157978616 162108416 189502756 191237272 192503744 266069248 267831296 270282752 315957232 324216832 379005512 382474544 385007488 454188521 532138496 535662592 631914464 648433664 758011024 764949088 770014976 900138091 908377042 1064276992 1089640847 1263828928 1516022048 1529898176 1540029952 1800276182 1816754084 2128553984 2179281694 2527657856 3032044096 3059796352 3080059904 3600552364 3633508168 4257107968 4358563388 5055315712 6064088192 6119592704 6160119808 7153729039 7201104728 7267016336 8717126776 10110631424 12128176384 12239185408 12320239616 14307458078 14402209456 14534032672 17434253552 20221262848 20703176093 24256352768 24478370816 28614916156 28804418912 29068065344 34868507104 40442525696 41406352186 48512705536 48956741632 57229832312 57608837824 58136130688 69737014208 80885051392 82812704372 97025411072 97913483264 114459664624 115217675648 116272261376 135920851741 139474028416 164535767897 165625408744 194050822144 228919329248 230435351296 232544522752 271841703482 278948056832 329071535794 331250817488 457838658496 460870702592 465089045504 543683406964 557896113664 658143071588 662501634976 915677316992 921741405184 930178091008 1087366813928 1115792227328 1316286143176 1325003269952 1831354633984 1843482810368 1860356182016 2174733627856 2231584454656 2632572286352 2650006539904 3126179590043 3662709267968 3686965620736 4349467255712 4463168909312 5265144572704 5300013079808 6252359180086 7325418535936 8698934511424 10530289145408 10600026159616 12504718360172 14650837071872 17397869022848 21060578290816 21200052319232 25009436720344 29301674143744 34795738045696 42121156581632 42400104638464 50018873440688 69591476091392 84242313163264 84800209276928 100037746881376 139182952182784 168484626326528 200075493762752 278365904365568 336969252653056 400150987525504 556731808731136 673938505306112 800301975051008 1600603950102016 3201207900204032 6402415800408064 12804831600816128
• Sum of all divisors σ(n): 28316553421121280
• Sum of proper divisors (its aliquot sum) s(n): 15511721820305152
• 12804831600816128 is an abundant number, because the sum of its proper divisors (15511721820305152) is greater than itself. Its abundance is 2706890219489024

Bases of 12804831600816128

• Binary: 101101011111011110110100101110111110011011000000000000₂
• Hexadecimal: 0x2D7DED2EF9B000
• Base-36: 3I2XMFG660W

Squares and roots of 12804831600816128

• 12804831600816128 squared (12804831600816128²) is 163963712325259323208755664912384
• 12804831600816128 cubed (12804831600816128³) is 2099527724969605436630677175680821217828014129152
• The square root of 12804831600816128 is 113158435.8358497637
• The cube root of 12804831600816128 is 233950.8480346873

Scales and comparisons

• 12,804,831,600,816,128 seconds is equal to 407,154,036 years, 49 weeks, 6 days, 21 hours, 22 minutes, 8 seconds.
• To count from 1 to 12,804,831,600,816,128 would take you about one billion, two hundred twenty-one million, four hundred sixty-two thousand, one hundred ten 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 12804831600816128 cubic inches would be around 19495.9 feet tall.

Recreational maths with 12804831600816128

• 12804831600816128 backwards is 82161800613840821
• The number of decimal digits it has is: 17
• The sum of 12804831600816128's digits is 59
• More coming soon!