34357836217590468

Names of 34357836217590468

• Cardinal: 34357836217590468 can be written as Thirty-four quadrillion, three hundred fifty-seven trillion, eight hundred thirty-six billion, two hundred seventeen million, five hundred ninety thousand, four hundred sixty-eight.

Scientific notation

• Scientific notation: 3.4357836217590468 × 10¹⁶

Factors of 34357836217590468

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 954

Divisors of 34357836217590468

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 907 961 1023 1089 1116 1331 1364 1452 1814 1922 2046 2178 2662 2721 2883 3069 3628 3751 3844 3993 4092 4356 5324 5442 5766 6138 7502 7986 8163 8649 9977 10571 10884 11253 11532 11979 12276 15004 15972 16326 17298 19954 21142 22506 23958 28117 29931 31713 32652 33759 34596 39908 41261 42284 45012 47916 56234 59862 63426 67518 82522 84351 89793 95139 109747 112468 116281 119724 123783 126852 135036 165044 168702 179586 190278 219494 232562 247566 253053 309287 329241 337404 348843 359172 371349 380556 438988 465124 495132 506106 618574 658482 697686 742698 822649 871627 927861 987723 1012212 1046529 1207217 1237148 1279091 1316964 1395372 1485396 1645298 1743254 1855722 1975446 2093058 2414434 2467947 2558182 2614881 2783583 3290596 3402157 3486508 3621651 3711444 3837273 3950892 4186116 4828868 4935894 5116364 5229762 5567166 6804314 7243302 7403841 7674546 7844643 9049139 9587897 9871788 10206471 10459524 10864953 11134332 11511819 13608628 14486604 14807682 15349092 15689286 18098278 19175794 20412942 21729906 23023638 25502119 27147417 28763691 29615364 30619413 31378572 36196556 37423727 38351588 40825884 43459812 46047276 51004238 54294834 57527382 61238826 74847454 76506357 81442251 86291073 99540529 102008476 105466867 108589668 112271181 115054764 122477652 149694908 153012714 162884502 172582146 199081058 210933734 224542362 229519071 280523309 298621587 306025428 316400601 325769004 336813543 345164292 398162116 421867468 449084724 459038142 561046618 597243174 632801202 673627086 746142643 790565689 841569927 895864761 918076284 949201803 1094945819 1122093236 1160135537 1194486348 1265602404 1347254172 1492285286 1581131378 1683139854 1791729522 1898403606 2189891638 2238427929 2320271074 2371697067 2524709781 2984570572 3085756399 3162262756 3284837457 3366279708 3480406611 3583459044 3796807212 4379783276 4476855858 4640542148 4743394134 5049419562 6171512798 6569674914 6715283787 6960813222 7115091201 8207569073 8696222579 8953711716 9257269197 9486788268 9854512371 10098839124 10441219833 12343025596 13139349828 13430567574 13921626444 14230182402 16415138146 17392445158 18514538394 19709024742 20882439666 23130421933 24622707219 26088667737 26861135148 27771807591 28460364804 32830276292 33943320389 34784890316 37029076788 39418049484 41764879332 46260843866 49245414438 52177335474 55543615182 67886640778 69391265799 73868121657 78266003211 90283259803 92521687732 95658448369 98490828876 101829961167 104354670948 111087230364 135773281556 138782531598 147736243314 156532006422 180566519606 191316896738 203659922334 208173797397 254434641263 270849779409 277565063196 286975345107 295472486628 305489883501 313064012844 361133039212 382633793476 407319844668 416347594794 508869282526 541699558818 573950690214 610979767002 717043079923 763303923789 812549338227 832695189588 860926035321 993115857833 1017738565052 1052242932059 1083399117636 1147901380428 1221959534004 1434086159846 1526607847578 1625098676454 1721852070642 1986231715666 2104485864118 2151129239769 2289911771367 2798781053893 2868172319692 2979347573499 3053215695156 3156728796177 3250197352908 3443704141284 3972463431332 4208971728236 4302258479538 4579823542734 5597562107786 5958695146998 6313457592354 6453387719307 7887473879153 8396343161679 8604516959076 8938042720497 9159647085468 9470186388531 11195124215572 11917390293996 12626915184708 12906775438614 15774947758306 16792686323358 17876085440994 18940372777062 23662421637459 25189029485037 25813550877228 30786591592823 31549895516612 33585372646716 35752170881988 37880745554124 47324843274918 50378058970074 61573183185646 70987264912377 86762212670683 92359774778469 94649686549836 100756117940148 123146366371292 141974529824754 173524425341366 184719549556938 260286638012049 277079324335407 283949059649508 347048850682732 369439099113876 520573276024098 554158648670814 780859914036147 954384339377513 1041146552048196 1108317297341628 1561719828072294 1908768678755026 2863153018132539 3123439656144588 3817537357510052 5726306036265078 8589459054397617 11452612072530156 17178918108795234 34357836217590468
• Sum of all divisors σ(n): 98817228253598400
• Sum of proper divisors (its aliquot sum) s(n): 64459392036007932
• 34357836217590468 is an abundant number, because the sum of its proper divisors (64459392036007932) is greater than itself. Its abundance is 30101555818417464

Bases of 34357836217590468

• Binary: 1111010000100000100010100011111000000000010001011000100₂
• Hexadecimal: 0x7A10451F0022C4
• Base-36: 9EAU426WRT0

Squares and roots of 34357836217590468

• 34357836217590468 squared (34357836217590468²) is 1180460909554771276760107764459024
• 34357836217590468 cubed (34357836217590468³) is 40558082591750706310162747656799147511136798983232
• The square root of 34357836217590468 is 185358669.1190635087
• The cube root of 34357836217590468 is 325093.7361734387

Scales and comparisons

• 34,357,836,217,590,468 seconds is equal to 1,092,472,915 years, 49 weeks, 4 days, 7 hours, 7 minutes, 48 seconds.
• To count from 1 to 34,357,836,217,590,468 would take you about three billion, two hundred seventy-seven million, four hundred eighteen thousand, seven 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 34357836217590468 cubic inches would be around 27091.1 feet tall.

Recreational maths with 34357836217590468

• 34357836217590468 backwards is 86409571263875343
• The number of decimal digits it has is: 17
• The sum of 34357836217590468's digits is 81
• More coming soon!