104977813297408000

Names of 104977813297408000

• Cardinal: 104977813297408000 can be written as One hundred four quadrillion, nine hundred seventy-seven trillion, eight hundred thirteen billion, two hundred ninety-seven million, four hundred eight thousand.

Scientific notation

• Scientific notation: 1.04977813297408 × 10¹⁷

Factors of 104977813297408000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 35227

Divisors of 104977813297408000

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 337 400 500 512 640 674 800 1000 1024 1280 1348 1600 1685 2000 2048 2560 2696 3200 3370 4000 5120 5392 6400 6740 8000 8425 10240 10784 12800 13480 16000 16850 21568 25600 26960 32000 33700 34883 42125 43136 51200 53920 64000 67400 69766 84250 86272 107840 128000 134800 139532 168500 172544 174415 215680 256000 269600 279064 337000 345088 348830 431360 539200 558128 674000 690176 697660 862720 872075 1078400 1116256 1348000 1395320 1725440 1744150 2156800 2232512 2696000 2790640 3450880 3488300 4313600 4360375 4465024 5392000 5581280 6976600 8627200 8720750 8930048 10784000 11162560 11755571 13953200 17254400 17441500 17860096 21568000 22325120 23511142 27906400 34883000 35720192 43136000 44650240 47022284 55812800 58777855 69766000 71440384 86272000 89300480 94044568 111625600 117555710 139532000 178600960 188089136 223251200 235111420 279064000 293889275 357201920 376178272 446502400 470222840 558128000 587778550 752356544 893004800 940445680 1116256000 1175557100 1216823689 1469446375 1504713088 1786009600 1880891360 2232512000 2351114200 2433647378 2938892750 3009426176 3761782720 4465024000 4702228400 4867294756 5877785500 6018852352 6084118445 7523565440 8930048000 9404456800 9734589512 11755571000 12037704704 12168236890 15047130880 18808913600 19469179024 23511142000 24075409408 24336473780 30094261760 30420592225 37617827200 38938358048 47022284000 48672947560 60188523520 60841184450 75235654400 77876716096 94044568000 97345895120 120377047040 121682368900 150471308800 152102961125 155753432192 188089136000 194691790240 243364737800 300942617600 304205922250 311506864384 376178272000 389383580480 410069583193 486729475600 601885235200 608411844500 623013728768 752356544000 778767160960 820139166386 973458951200 1216823689000 1246027457536 1504713088000 1557534321920 1640278332772 1946917902400 2050347915965 2433647378000 2492054915072 3009426176000 3115068643840 3280556665544 3893835804800 4100695831930 4867294756000 6230137287680 6561113331088 7787671609600 8201391663860 9734589512000 10251739579825 12460274575360 13122226662176 15575343219200 16402783327720 19469179024000 20503479159650 26244453324352 31150686438400 32805566655440 38938358048000 41006958319300 51258697899125 52488906648704 62301372876800 65611133310880 77876716096000 82013916638600 102517395798250 104977813297408 131222266621760 155753432192000 164027833277200 205034791596500 209955626594816 262444533243520 311506864384000 328055666554400 410069583193000 419911253189632 524889066487040 656111333108800 820139166386000 839822506379264 1049778132974080 1312222666217600 1640278332772000 2099556265948160 2624445332435200 3280556665544000 4199112531896320 5248890664870400 6561113331088000 10497781329740800 13122226662176000 20995562659481600 26244453324352000 52488906648704000 104977813297408000
• Sum of all divisors σ(n): 262745514638104680
• Sum of proper divisors (its aliquot sum) s(n): 157767701340696680
• 104977813297408000 is an abundant number, because the sum of its proper divisors (157767701340696680) is greater than itself. Its abundance is 52789888043288680

Bases of 104977813297408000

• Binary: 101110100111101001100001111010110111000111010100000000000₂
• Hexadecimal: 0x174F4C3D6E3A800
• Base-36: SPNJ1NQGIKG

Squares and roots of 104977813297408000

• 104977813297408000 squared (104977813297408000²) is 11020341284705451905859518464000000
• 104977813297408000 cubed (104977813297408000³) is 1156891329859526351055493174001706899341312000000000
• The square root of 104977813297408000 is 324002798.2863851749
• The cube root of 104977813297408000 is 471736.1670962703

Scales and comparisons

• 104,977,813,297,408,000 seconds is equal to 3,337,969,745 years, 8 weeks, 2 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 104,977,813,297,408,000 would take you about ten billion, thirteen million, nine hundred nine thousand, two hundred thirty-five 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 104977813297408000 cubic inches would be around 39311.3 feet tall.

Recreational maths with 104977813297408000

• 104977813297408000 backwards is 000804792318779401
• The number of decimal digits it has is: 18
• The sum of 104977813297408000's digits is 70
• More coming soon!