34939966939971072

Names of 34939966939971072

• Cardinal: 34939966939971072 can be written as Thirty-four quadrillion, nine hundred thirty-nine trillion, nine hundred sixty-six billion, nine hundred thirty-nine million, nine hundred seventy-one thousand and seventy-two.

Scientific notation

• Scientific notation: 3.4939966939971072 × 10¹⁶

Factors of 34939966939971072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 24737014

Divisors of 34939966939971072

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 343 383 384 392 448 512 588 672 686 766 768 784 896 1029 1149 1176 1344 1372 1532 1536 1568 1792 2058 2298 2352 2401 2681 2688 2744 3064 3136 3584 4116 4596 4704 4802 5362 5376 5488 6128 6272 7203 8043 8232 9192 9408 9604 10724 10752 10976 12256 12544 14406 16086 16464 18384 18767 18816 19208 21448 21952 24512 25088 28812 32172 32928 36768 37534 37632 38416 42896 43904 49024 56301 57624 64344 65856 73536 75068 75264 76832 85792 87808 98048 112602 115248 128688 131369 131712 147072 150136 153664 171584 175616 196096 225204 230496 257376 262738 263424 294144 300272 307328 343168 394107 450408 460992 514752 525476 526848 588288 600544 614656 686336 788214 900816 919583 921984 1029504 1050952 1201088 1229312 1372672 1576428 1801632 1839166 1843968 2059008 2101904 2402176 2758749 3152856 3603264 3678332 3687936 4118016 4203808 4804352 5517498 6305712 7206528 7356664 8407616 9608704 11034996 12611424 14413056 14713328 16815232 22069992 24736619 25222848 28826112 29426656 33630464 44139984 49473238 50445696 58853312 67260928 74209857 88279968 98946476 100891392 117706624 148419714 173156333 176559936 197892952 201782784 235413248 296839428 346312666 353119872 395785904 470826496 519468999 593678856 692625332 706239744 791571808 1038937998 1187357712 1212094331 1385250664 1412479488 1583143616 2077875996 2374715424 2424188662 2770501328 3166287232 3636282993 4155751992 4749430848 4848377324 5541002656 6332574464 7272565986 8311503984 8484660317 9474125077 9498861696 9696754648 11082005312 12665148928 14545131972 16623007968 16969320634 18948250154 18997723392 19393509296 22164010624 25453980951 28422375231 29090263944 33246015936 33938641268 37896500308 37995446784 38787018592 44328021248 50907961902 56844750462 58180527888 59392622219 66318875539 66492031872 67877282536 75793000616 77574037184 88656042496 101815923804 113689500924 116361055776 118785244438 132637751078 132984063744 135754565072 151586001232 155148074368 178177866657 198956626617 203631847608 227379001848 232722111552 237570488876 265275502156 265968127488 271509130144 303172002464 310296148736 356355733314 397913253234 407263695216 454758003696 464232128773 465444223104 475140977752 530551004312 543018260288 606344004928 620592297472 712711466628 795826506468 814527390432 909516007392 928464257546 930888446208 950281955504 1061102008624 1086036520576 1212688009856 1392696386319 1425422933256 1591653012936 1629054780864 1819032014784 1856928515092 1861776892416 1900563911008 2122204017248 2172073041152 2425376019712 2785392772638 2850845866512 3183306025872 3249624901411 3258109561728 3638064029568 3713857030184 3801127822016 4244408034496 4344146082304 4850752039424 5570785545276 5701691733024 6366612051744 6499249802822 6516219123456 7276128059136 7427714060368 7602255644032 8488816068992 9748874704233 11141571090552 11403383466048 12733224103488 12998499605644 13032438246912 14552256118272 14855428120736 15204511288064 16977632137984 19497749408466 22283142181104 22747374309877 22806766932096 25466448206976 25996999211288 29710856241472 30409022576128 33955264275968 38995498816932 44566284362208 45494748619754 45613533864192 50932896413952 51993998422576 59421712482944 68242122929631 77990997633864 89132568724416 90989497239508 91227067728384 101865792827904 103987996845152 118843424965888 136484245859262 155981995267728 178265137448832 181978994479016 207975993690304 237686849931776 272968491718524 311963990535456 356530274897664 363957988958032 415951987380608 545936983437048 623927981070912 713060549795328 727915977916064 831903974761216 1091873966874096 1247855962141824 1455831955832128 1663807949522432 2183747933748192 2495711924283648 2911663911664256 4367495867496384 4991423848567296 5823327823328512 8734991734992768 11646655646657024 17469983469985536 34939966939971072
• Sum of all divisors σ(n): 108873031511439360
• Sum of proper divisors (its aliquot sum) s(n): 73933064571468288
• 34939966939971072 is an abundant number, because the sum of its proper divisors (73933064571468288) is greater than itself. Its abundance is 38993097631497216

Bases of 34939966939971072

• Binary: 1111100001000011011011011111101111010111011111000000000₂
• Hexadecimal: 0x7C21B6FDEBBE00
• Base-36: 9K16N80UGAO

Squares and roots of 34939966939971072

• 34939966939971072 squared (34939966939971072²) is 1220801289766271476872720196829184
• 34939966939971072 cubed (34939966939971072³) is 42654756704707570389287459563799007737323085365248
• The square root of 34939966939971072 is 186922355.3777639299
• The cube root of 34939966939971072 is 326919.5029219667

Scales and comparisons

• 34,939,966,939,971,072 seconds is equal to 1,110,982,872 years, 14 weeks, 2 days, 22 hours, 11 minutes, 12 seconds.
• To count from 1 to 34,939,966,939,971,072 would take you about three billion, three hundred thirty-two million, nine hundred forty-eight thousand, six hundred sixteen 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 34939966939971072 cubic inches would be around 27243.3 feet tall.

Recreational maths with 34939966939971072

• 34939966939971072 backwards is 27017993966993943
• 34939966939971072 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34939966939971072's digits is 96
• More coming soon!