34123410842688

Names of 34123410842688

• Cardinal: 34123410842688 can be written as Thirty-four trillion, one hundred twenty-three billion, four hundred ten million, eight hundred forty-two thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 3.4123410842688 × 10¹³

Factors of 34123410842688

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 8613

Divisors of 34123410842688

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 89 96 129 144 172 178 192 258 267 288 344 356 387 516 534 576 688 712 774 801 1032 1068 1376 1424 1548 1602 2064 2136 2663 2752 2848 3096 3204 3827 4128 4272 5326 5696 5813 6192 6408 7654 7989 8256 8544 10652 11481 11626 12384 12816 15308 15978 17088 17439 21304 22962 23252 23967 24768 25632 30616 31956 34443 34878 42608 45924 46504 47934 51264 52317 61232 63912 68886 69756 85216 91848 93008 95868 104634 114509 122464 127824 137772 139512 170432 183696 186016 191736 209268 229018 237007 244928 249959 255648 275544 279024 343527 367392 372032 383472 418536 458036 474014 499918 511296 517357 551088 558048 687054 711021 734784 749877 766944 837072 916072 948028 999836 1030581 1034714 1102176 1116096 1374108 1422042 1499754 1533888 1552071 1674144 1832144 1896056 1999672 2061162 2069428 2133063 2204352 2249631 2748216 2844084 2999508 3104142 3348288 3664288 3792112 3999344 4122324 4138856 4266126 4499262 4656213 5496432 5688168 5999016 6208284 7328576 7584224 7998688 8244648 8277712 8532252 8998524 9312426 10191301 10992864 11376336 11998032 12416568 15168448 15480019 15997376 16489296 16555424 17064504 17997048 18624852 20382602 21985728 22246351 22752672 23996064 24833136 30573903 30960038 32978592 33110848 34129008 35994096 37249704 40765204 44492702 45505344 46440057 47992128 49666272 61147806 61920076 65957184 66739053 68258016 71988192 74499408 81530408 88985404 91721709 92880114 99332544 122295612 123840152 133478106 136516032 139320171 143976384 148998816 163060816 177970808 183443418 185760228 200217159 244591224 247680304 266956212 278640342 297997632 326121632 355941616 366886836 371520456 400434318 489182448 495360608 533912424 557280684 652243264 665640817 711883232 733773672 743040912 800868636 978364896 990721216 1067824848 1114561368 1331281634 1377721691 1423766464 1467547344 1486081824 1601737272 1956729792 1996922451 2135649696 2229122736 2662563268 2755443382 2935094688 2972163648 3203474544 3993844902 4133165073 4271299392 4458245472 5325126536 5510886764 5870189376 5990767353 6406949088 7987689804 8266330146 8916490944 10650253072 11021773528 11981534706 12399495219 12813898176 15975379608 16532660292 21300506144 22043547056 23963069412 24798990438 31950759216 33065320584 42601012288 44087094112 47926138824 49597980876 59242032713 63901518432 66130641168 88174188224 95852277648 99195961752 118484065426 127803036864 132261282336 177726098139 191704555296 198391923504 236968130852 264522564672 355452196278 383409110592 396783847008 473936261704 533178294417 710904392556 793567694016 947872523408 1066356588834 1421808785112 1895745046816 2132713177668 2843617570224 3791490093632 4265426355336 5687235140448 8530852710672 11374470280896 17061705421344 34123410842688
• Sum of all divisors σ(n): 101263167308160
• Sum of proper divisors (its aliquot sum) s(n): 67139756465472
• 34123410842688 is an abundant number, because the sum of its proper divisors (67139756465472) is greater than itself. Its abundance is 33016345622784

Bases of 34123410842688

• Binary: 111110000100011111001110010000010010001000000₂
• Hexadecimal: 0x1F08F9C82440
• Base-36: C3G2TRWW0

Squares and roots of 34123410842688

• 34123410842688 squared (34123410842688²) is 1164407167538876962283065344
• 34123410842688 cubed (34123410842688³) is 39733544166099736722540724382494808604672
• The square root of 34123410842688 is 5841524.7018811793
• The cube root of 34123410842688 is 32435.2670784081

Scales and comparisons

• 34,123,410,842,688 seconds is equal to 1,085,018 years, 47 weeks, 3 days, 18 hours, 4 minutes, 48 seconds.
• To count from 1 to 34,123,410,842,688 would take you about two million, seven hundred twelve thousand, five hundred forty-seven 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 34123410842688 cubic inches would be around 2702.9 feet tall.

Recreational maths with 34123410842688

• 34123410842688 backwards is 88624801432143
• The number of decimal digits it has is: 14
• The sum of 34123410842688's digits is 54
• More coming soon!