34144765626048

Names of 34144765626048

• Cardinal: 34144765626048 can be written as Thirty-four trillion, one hundred forty-four billion, seven hundred sixty-five million, six hundred twenty-six thousand and forty-eight.

Scientific notation

• Scientific notation: 3.4144765626048 × 10¹³

Factors of 34144765626048

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 714

Divisors of 34144765626048

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 132 147 154 168 176 192 196 224 231 264 294 308 336 352 392 448 462 528 539 588 616 672 691 704 784 924 1056 1078 1176 1232 1344 1382 1568 1617 1848 2073 2112 2156 2352 2464 2764 3136 3234 3696 4146 4312 4704 4837 4928 5528 6468 7392 7601 8292 8624 9408 9674 11056 12936 14511 14784 15202 16584 17248 19348 22112 22803 25872 29022 30404 33168 33859 34496 38696 44224 45606 51744 53207 58044 60808 66336 67718 77392 91212 101577 103488 106414 116088 121616 132672 135436 154784 159621 182424 203154 212828 232176 243232 270872 309568 319242 364848 372449 406308 425656 464352 477481 486464 541744 638484 729696 744898 812616 851312 928704 954962 1083488 1117347 1276968 1432443 1459392 1489796 1625232 1702624 1909924 2166976 2234694 2553936 2864886 2979592 3250464 3342367 3405248 3819848 4469388 5107872 5252291 5729772 5959184 6500928 6684734 7639696 8938776 10027101 10215744 10504582 11459544 11918368 13369468 15279392 15756873 17877552 20054202 21009164 22919088 23396569 23836736 26738936 30558784 31513746 35755104 36766037 40108404 42018328 45838176 46793138 53477872 63027492 70189707 71510208 73532074 80216808 84036656 91676352 93586276 106955744 110298111 126054984 140379414 147064148 160433616 168073312 187172552 213911488 220596222 252109968 257362259 280758828 294128296 320867232 329939371 336146624 374345104 441192444 504219936 514724518 561517656 588256592 641734464 659878742 748690208 772086777 882384888 989818113 1008439872 1029449036 1123035312 1176513184 1319757484 1497380416 1544173554 1764769776 1979636226 2058898072 2246070624 2309575597 2353026368 2639514968 3088347108 3529539552 3629333081 3959272452 4117796144 4492141248 4619151194 5279029936 6176694216 6928726791 7059079104 7258666162 7918544904 8235592288 9238302388 10558059872 10887999243 12353388432 13857453582 14517332324 15837089808 16167029179 16471184576 18476604776 21116119744 21775998486 24706776864 25405331567 27714907164 29034664648 31674179616 32334058358 36953209552 43551996972 48501087537 49413553728 50810663134 55429814328 58069329296 63348359232 64668116716 73906419104 76215994701 87103993944 97002175074 101621326268 110859628656 116138658592 129336233432 147812838208 152431989402 174207987888 177837320969 194004350148 203242652536 221719257312 232277317184 258672466864 304863978804 348415975776 355674641938 388008700296 406485305072 443438514624 517344933728 533511962907 609727957608 696831951552 711349283876 776017400592 812970610144 1034689867456 1067023925814 1219455915216 1422698567752 1552034801184 1625941220288 2134047851628 2438911830432 2845397135504 3104069602368 4268095703256 4877823660864 5690794271008 8536191406512 11381588542016 17072382813024 34144765626048
• Sum of all divisors σ(n): 114810844848768
• Sum of proper divisors (its aliquot sum) s(n): 80666079222720
• 34144765626048 is an abundant number, because the sum of its proper divisors (80666079222720) is greater than itself. Its abundance is 46521313596672

Bases of 34144765626048

• Binary: 111110000110111110010101000000100011011000000₂
• Hexadecimal: 0x1F0DF2A046C0
• Base-36: C3PVZV16O

Squares and roots of 34144765626048

• 34144765626048 squared (34144765626048²) is 1165865019657749069376098304
• 34144765626048 cubed (34144765626048³) is 39808187847821686229510062591746151022592
• The square root of 34144765626048 is 5843352.2592813109
• The cube root of 34144765626048 is 32442.0317759771

Scales and comparisons

• 34,144,765,626,048 seconds is equal to 1,085,697 years, 48 weeks, 2 days, 14 hours, 20 minutes, 48 seconds.
• To count from 1 to 34,144,765,626,048 would take you about two million, seven hundred fourteen thousand, two 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 34144765626048 cubic inches would be around 2703.5 feet tall.

Recreational maths with 34144765626048

• 34144765626048 backwards is 84062656744143
• The number of decimal digits it has is: 14
• The sum of 34144765626048's digits is 60
• More coming soon!