34768311959808

Names of 34768311959808

• Cardinal: 34768311959808 can be written as Thirty-four trillion, seven hundred sixty-eight billion, three hundred eleven million, nine hundred fifty-nine thousand, eight hundred eight.

Scientific notation

• Scientific notation: 3.4768311959808 × 10¹³

Factors of 34768311959808

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 396

Divisors of 34768311959808

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 127 128 144 168 192 224 252 254 256 257 288 336 381 384 448 504 508 514 576 672 762 768 771 889 896 1008 1016 1028 1143 1152 1344 1524 1542 1778 1792 1799 2016 2032 2056 2286 2304 2313 2667 2688 3048 3084 3556 3598 4032 4064 4112 4572 4626 5334 5376 5397 6096 6168 7112 7196 8001 8064 8128 8224 9144 9252 10668 10794 12192 12336 14224 14392 16002 16128 16191 16256 16448 18288 18504 21336 21588 24384 24672 28448 28784 32004 32382 32512 32639 32896 36576 37008 42672 43176 48768 49344 56896 57568 64008 64764 65278 65792 66049 73152 74016 85344 86352 97536 97917 98688 113792 115136 128016 129528 130556 132098 146304 148032 170688 172704 195834 197376 198147 227584 228473 230272 256032 259056 261112 264196 292608 293751 296064 341376 345408 391668 396294 456946 460544 462343 512064 518112 522224 528392 587502 592128 594441 682752 685419 690816 783336 792588 913892 924686 1024128 1036224 1044448 1056784 1175004 1188882 1370838 1381632 1387029 1566672 1585176 1827784 1849372 2048256 2056257 2072448 2088896 2113568 2350008 2377764 2741676 2774058 3133344 3170352 3655568 3698744 4112514 4144896 4161087 4177792 4227136 4700016 4755528 5483352 5548116 6266688 6340704 7311136 7397488 8225028 8322174 8355584 8388223 8454272 9400032 9511056 10966704 11096232 12533376 12681408 14622272 14794976 16450056 16644348 16776446 16908544 16974593 18800064 19022112 21933408 22192464 25066752 25164669 25362816 29244544 29589952 32900112 33288696 33552892 33949186 37600128 38044224 43866816 44384928 50329338 50725632 50923779 58489088 58717561 59179904 65800224 66577392 67105784 67898372 75200256 75494007 76088448 87733632 88769856 100658676 101847558 117435122 118359808 118822151 131600448 133154784 134211568 135796744 150988014 152176896 152771337 175467264 176152683 177539712 201317352 203695116 234870244 237644302 263200896 266309568 268423136 271593488 301976028 305542674 352305366 355079424 356466453 402634704 407390232 469740488 475288604 526401792 528458049 532619136 536846272 543186976 603952056 611085348 704610732 712932906 805269408 814780464 939480976 950577208 1056916098 1065238272 1069399359 1073692544 1086373952 1207904112 1222170696 1409221464 1425865812 1610538816 1629560928 1878961952 1901154416 2113832196 2138798718 2147385088 2155773311 2172747904 2415808224 2444341392 2818442928 2851731624 3221077632 3259121856 3757923904 3802308832 4227664392 4277597436 4311546622 4345495808 4831616448 4888682784 5636885856 5703463248 6442155264 6467319933 6518243712 7515847808 7604617664 8455328784 8555194872 8623093244 9663232896 9777365568 11273771712 11406926496 12934639866 13036487424 15031695616 15090413177 15209235328 16910657568 17110389744 17246186488 19326465792 19401959799 19554731136 22547543424 22813852992 25869279732 30180826354 30418470656 33821315136 34220779488 34492372976 38803919598 39109462272 45095086848 45271239531 45627705984 51738559464 60361652708 67642630272 68441558976 68984745952 77607839196 90542479062 91255411968 103477118928 120723305416 135285260544 135813718593 136883117952 137969491904 155215678392 181084958124 206954237856 241446610832 271627437186 273766235904 275938983808 310431356784 362169916248 413908475712 482893221664 543254874372 551877967616 620862713568 724339832496 827816951424 965786443328 1086509748744 1241725427136 1448679664992 1655633902848 1931572886656 2173019497488 2483450854272 2897359329984 3863145773312 4346038994976 4966901708544 5794718659968 8692077989952 11589437319936 17384155979904 34768311959808
• Sum of all divisors σ(n): 115919563468800
• Sum of proper divisors (its aliquot sum) s(n): 81151251508992
• 34768311959808 is an abundant number, because the sum of its proper divisors (81151251508992) is greater than itself. Its abundance is 46382939549184

Bases of 34768311959808

• Binary: 111111001111100100000111000100100000100000000₂
• Hexadecimal: 0x1F9F20E24100
• Base-36: CBOCB8ZK0

Squares and roots of 34768311959808

• 34768311959808 squared (34768311959808²) is 1208835516534528009807396864
• 34768311959808 cubed (34768311959808³) is 42029170346968111537166884305194673242112
• The square root of 34768311959808 is 5896466.0568689785
• The cube root of 34768311959808 is 32638.3254453763

Scales and comparisons

• 34,768,311,959,808 seconds is equal to 1,105,524 years, 40 weeks, 2 days, 1 hour, 16 minutes, 48 seconds.
• To count from 1 to 34,768,311,959,808 would take you about two million, seven hundred sixty-three thousand, eight hundred eleven 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 34768311959808 cubic inches would be around 2719.9 feet tall.

Recreational maths with 34768311959808

• 34768311959808 backwards is 80895911386743
• 34768311959808 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34768311959808's digits is 72
• More coming soon!