31997517396738048

Names of 31997517396738048

• Cardinal: 31997517396738048 can be written as Thirty-one quadrillion, nine hundred ninety-seven trillion, five hundred seventeen billion, three hundred ninety-six million, seven hundred thirty-eight thousand and forty-eight.

Scientific notation

• Scientific notation: 3.1997517396738048 × 10¹⁶

Factors of 31997517396738048

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 3312

Divisors of 31997517396738048

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3307 3456 4096 4608 6144 6614 6912 8192 9216 9921 12288 13228 13824 16384 18432 19842 24576 26456 27648 29763 32768 36864 39684 49152 52912 55296 59526 73728 79368 89289 98304 105824 110592 119052 147456 158736 178578 211648 221184 238104 294912 317472 357156 423296 442368 476208 634944 714312 846592 884736 952416 1269888 1428624 1693184 1904832 2539776 2857248 3386368 3809664 5079552 5714496 6772736 7619328 10159104 10936249 11428992 13545472 15238656 20318208 21872498 22857984 27090944 30477312 32808747 40636416 43744996 45715968 54181888 60954624 65617494 81272832 87489992 91431936 98426241 108363776 121909248 131234988 162545664 174979984 182863872 196852482 243818496 262469976 295278723 325091328 349959968 365727744 393704964 487636992 524939952 590557446 699919936 731455488 787409928 975273984 1049879904 1181114892 1399839872 1462910976 1574819856 2099759808 2362229784 2799679744 2925821952 3149639712 4199519616 4724459568 5599359488 6299279424 8399039232 9448919136 11198718976 12598558848 16798078464 18897838272 22397437952 25197117696 33596156928 37795676544 44794875904 50394235392 67192313856 75591353088 89589751808 100788470784 134384627712 151182706176 179179503616 201576941568 268769255424 302365412352 358359007232 403153883136 537538510848 604730824704 806307766272 1075077021696 1209461649408 1612615532544 2418923298816 3225231065088 4837846597632 9675693195264
• Sum of all divisors σ(n): 32016518658262584
• Sum of proper divisors (its aliquot sum) s(n): 19001261524536
• 31997517396738048 is a deficient number, because the sum of its proper divisors (19001261524536) is less than itself. Its deficiency is 31978516135213512

Bases of 31997517396738048

• Binary: 1110001101011011001001010010010001000001000000000000000₂
• Hexadecimal: 0x71AD9292208000
• Base-36: 8R268KALMO0

Squares and roots of 31997517396738048

• 31997517396738048 squared (31997517396738048²) is 1023841119554554028254710730850304
• 31997517396738048 cubed (31997517396738048³) is 32760374034442602180706981620775808857370989166592
• The square root of 31997517396738048 is 178878498.9783234065
• 31997517396738048 is a perfect cube number. Its cube root is 317472

Scales and comparisons

• 31,997,517,396,738,048 seconds is equal to 1,017,422,078 years, 20 weeks, 4 days, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 31,997,517,396,738,048 would take you about three billion, fifty-two million, two hundred sixty-six 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 31997517396738048 cubic inches would be around 26456 feet tall.

Recreational maths with 31997517396738048

• 31997517396738048 backwards is 84083769371579913
• The number of decimal digits it has is: 17
• The sum of 31997517396738048's digits is 90
• More coming soon!