34009396642331712

Names of 34009396642331712

• Cardinal: 34009396642331712 can be written as Thirty-four quadrillion, nine trillion, three hundred ninety-six billion, six hundred forty-two million, three hundred thirty-one thousand, seven hundred twelve.

Scientific notation

• Scientific notation: 3.4009396642331712 × 10¹⁶

Factors of 34009396642331712

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 591133321

Divisors of 34009396642331712

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 112 114 126 133 144 152 168 171 192 224 228 252 266 288 304 336 342 399 448 456 504 532 576 608 672 684 751 798 912 1008 1064 1197 1216 1344 1368 1502 1596 1824 2016 2128 2253 2394 2736 3004 3192 3648 4032 4256 4506 4788 5257 5472 6008 6384 6759 8512 9012 9576 10514 10944 12016 12768 13518 14269 15771 18024 19152 21028 24032 25536 27036 28538 31542 36048 38304 42056 42807 47313 48064 54072 57076 63084 72096 76608 84112 85614 94626 99883 108144 114152 126168 128421 144192 168224 171228 189252 199766 216288 228304 252336 256842 299649 336448 342456 378504 399532 432576 456608 504672 513684 599298 684912 757008 799064 898947 913216 1009344 1027368 1198596 1369824 1514016 1598128 1797894 2054736 2397192 2739648 3028032 3196256 3595788 4109472 4794384 6392512 7191576 8218944 9588768 14383152 19177536 28766304 57532608 591132539 1182265078 1773397617 2364530156 3546795234 4137927773 4729060312 5320192851 7093590468 8275855546 9458120624 10640385702 11231518241 12413783319 14187180936 16551711092 18916241248 21280771404 22463036482 24827566638 28374361872 33103422184 33694554723 37241349957 37832482496 42561542808 44926072964 49655133276 56748723744 66206844368 67389109446 74482699914 78620627687 85123085616 89852145928 99310266552 101083664169 113497447488 132413688736 134778218892 148965399828 157241255374 170246171232 179704291856 198620533104 202167328338 235861883061 264827377472 269556437784 297930799656 314482510748 340492342464 359408583712 397241066208 404334656676 443940536789 471723766122 539112875568 595861599312 628965021496 707585649183 718817167424 794482132416 808669313352 887881073578 943447532244 1078225751136 1191723198624 1257930042992 1331821610367 1415171298366 1617338626704 1775762147156 1886895064488 2156451502272 2383446397248 2515860085984 2663643220734 2830342596732 3107583757523 3234677253408 3551524294312 3773790128976 3995464831101 5031720171968 5327286441468 5660685193464 6215167515046 6469354506816 7103048588624 7547580257952 7990929662202 8434870198991 9322751272569 10654572882936 11321370386928 12430335030092 14206097177248 15095160515904 15981859324404 16869740397982 18645502545138 21309145765872 22642740773856 24860670060184 25304610596973 27968253817707 28412194354496 31963718648808 33739480795964 37291005090276 42618291531744 45285481547712 49721340120368 50609221193946 55936507635414 59044091392937 63927437297616 67478961591928 74582010180552 75913831790919 85236583063488 99442680240736 101218442387892 111873015270828 118088182785874 127854874595232 134957923183856 149164020361104 151827663581838 177132274178811 198885360481472 202436884775784 223746030541656 236176365571748 255709749190464 269915846367712 298328040722208 303655327163676 354264548357622 404873769551568 447492061083312 472352731143496 531396822536433 539831692735424 596656081444416 607310654327352 708529096715244 809747539103136 894984122166624 944705462286992 1062793645072866 1214621308654704 1417058193430488 1619495078206272 1789968244333248 1889410924573984 2125587290145732 2429242617309408 2834116386860976 3778821849147968 4251174580291464 4858485234618816 5668232773721952 8502349160582928 11336465547443904 17004698321165856 34009396642331712
• Sum of all divisors σ(n): 117427485968332800
• Sum of proper divisors (its aliquot sum) s(n): 83418089326001088
• 34009396642331712 is an abundant number, because the sum of its proper divisors (83418089326001088) is greater than itself. Its abundance is 49408692683669376

Bases of 34009396642331712

• Binary: 1111000110100110101110110110101111001000011110001000000₂
• Hexadecimal: 0x78D35DB5E43C40
• Base-36: 9AVBP4O8SW0

Squares and roots of 34009396642331712

• 34009396642331712 squared (34009396642331712²) is 1156639059975443526121932240850944
• 34009396642331712 cubed (34009396642331712³) is 39336596562718556715614455957484588483607196336128
• The square root of 34009396642331712 is 184416367.6096341291
• The cube root of 34009396642331712 is 323991.0219605249

Scales and comparisons

• 34,009,396,642,331,712 seconds is equal to 1,081,393,615 years, 13 weeks, 1 day, 21 hours, 55 minutes, 12 seconds.
• To count from 1 to 34,009,396,642,331,712 would take you about three billion, two hundred forty-four million, one hundred eighty thousand, eight hundred forty-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 34009396642331712 cubic inches would be around 26999.3 feet tall.

Recreational maths with 34009396642331712

• 34009396642331712 backwards is 21713324669390043
• 34009396642331712 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34009396642331712's digits is 63
• More coming soon!