13742310984380416

Names of 13742310984380416

• Cardinal: 13742310984380416 can be written as Thirteen quadrillion, seven hundred forty-two trillion, three hundred ten billion, nine hundred eighty-four million, three hundred eighty thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.3742310984380416 × 10¹⁶

Factors of 13742310984380416

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 842

Divisors of 13742310984380416

• Number of divisors d(n): 156
• Complete list of divisors:
  1 2 4 8 16 32 64 89 128 178 256 356 512 712 751 1024 1424 1502 2048 2848 3004 4096 5696 6008 7921 11392 12016 15842 22784 24032 31684 45568 48064 63368 66839 91136 96128 126736 133678 182272 192256 253472 267356 364544 384512 506944 534712 564001 769024 1013888 1069424 1128002 1538048 2027776 2138848 2256004 3076096 4055552 4277696 4512008 5948671 8111104 8555392 9024016 11897342 16222208 17110784 18048032 23794684 32444416 34221568 36096064 47589368 50196089 68443136 72192128 95178736 100392178 136886272 144384256 190357472 200784356 273772544 288768512 380714944 401568712 423564751 577537024 761429888 803137424 847129502 1155074048 1522859776 1606274848 1694259004 2310148096 3045719552 3212549696 3388518008 4467451921 6091439104 6425099392 6777036016 8934903842 12182878208 12850198784 13554072032 17869807684 24365756416 25700397568 27108144064 35739615368 37697262839 51400795136 54216288128 71479230736 75394525678 102801590272 108432576256 142958461472 150789051356 205603180544 216865152512 285916922944 301578102712 433730305024 571833845888 603156205424 867460610048 1143667691776 1206312410848 1734921220096 2287335383552 2412624821696 3355056392671 4574670767104 4825249643392 6710112785342 9149341534208 9650499286784 13420225570684 18298683068416 19300998573568 26840451141368 38601997147136 53680902282736 77203994294272 107361804565472 154407988588544 214723609130944 429447218261888 858894436523776 1717788873047552 3435577746095104 6871155492190208 13742310984380416
• Sum of all divisors σ(n): 27830572630551904
• Sum of proper divisors (its aliquot sum) s(n): 14088261646171488
• 13742310984380416 is an abundant number, because the sum of its proper divisors (14088261646171488) is greater than itself. Its abundance is 345950661791072

Bases of 13742310984380416

• Binary: 110000110100101000111100011100100111011111000000000000₂
• Hexadecimal: 0x30D28F1C9DF000
• Base-36: 3RB8QIG581S

Squares and roots of 13742310984380416

• 13742310984380416 squared (13742310984380416²) is 188851111191422638206723404333056
• 13742310984380416 cubed (13742310984380416³) is 2595250699738334631929509336352077553669867831296
• The square root of 13742310984380416 is 117227603.3380381619
• The cube root of 13742310984380416 is 239526.3284028509

Scales and comparisons

• 13,742,310,984,380,416 seconds is equal to 436,962,981 years, 28 weeks, 2 days, 4 hours, 20 minutes, 16 seconds.
• To count from 1 to 13,742,310,984,380,416 would take you about one billion, three hundred ten million, eight hundred eighty-eight thousand, nine hundred forty-four 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 13742310984380416 cubic inches would be around 19960.5 feet tall.

Recreational maths with 13742310984380416

• 13742310984380416 backwards is 61408348901324731
• 13742310984380416 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13742310984380416's digits is 64
• More coming soon!