34329375491804016

Names of 34329375491804016

• Cardinal: 34329375491804016 can be written as Thirty-four quadrillion, three hundred twenty-nine trillion, three hundred seventy-five billion, four hundred ninety-one million, eight hundred four thousand and sixteen.

Scientific notation

• Scientific notation: 3.4329375491804016 × 10¹⁶

Factors of 34329375491804016

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 81059

Divisors of 34329375491804016

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 149 151 156 204 208 221 272 298 302 312 408 442 447 453 596 604 624 663 816 884 894 906 1192 1208 1326 1768 1788 1812 1823 1937 1963 2384 2416 2533 2567 2652 3536 3576 3624 3646 3874 3926 5066 5134 5304 5469 5811 5889 7152 7248 7292 7599 7701 7748 7852 10132 10268 10608 10938 11622 11778 14584 15198 15402 15496 15704 20264 20536 21876 22499 23244 23556 23699 29168 30396 30804 30991 30992 31408 32929 33371 40528 41072 43752 44998 46488 47112 47398 60792 61608 61982 65858 66742 67497 71097 78901 87504 89996 92973 92976 94224 94796 98787 100113 121584 123216 123964 131716 133484 134994 142194 157802 179992 185946 189592 197574 200226 236703 247928 263432 266968 269988 271627 275273 284388 292487 315604 359984 371892 379184 382483 395148 400452 402883 473406 495856 526864 533936 539976 543254 550546 568776 584974 631208 743784 764966 790296 800904 805766 814881 825819 877461 946812 1025713 1079952 1086508 1101092 1137552 1147449 1169948 1208649 1262416 1341317 1487568 1529932 1580592 1601808 1611532 1629762 1651638 1754922 1893624 2051426 2173016 2202184 2294898 2339896 2417298 2682634 3059864 3077139 3223064 3259524 3303276 3509844 3531151 3578549 3787248 4023951 4102852 4346032 4404368 4589796 4617659 4679641 4679792 4834596 4972279 5365268 6119728 6154278 6446128 6519048 6606552 7019688 7062302 7157098 8047902 8205704 9179592 9235318 9359282 9669192 9944558 10593453 10730536 10735647 11756249 11914051 12308556 13038096 13213104 13852977 14038923 14039376 14124604 14314196 14916837 16095804 16411408 17437121 18359184 18470636 18718564 19338384 19889116 21186906 21461072 21471294 23512498 23828102 24617112 27705954 28077846 28249208 28628392 29833674 32191608 34874242 35268747 35742153 36941272 37437128 39778232 41015677 42373812 42942588 47024996 47656204 49234224 52311363 55411908 56155692 56498416 57256784 59667348 60029567 60835333 64383216 69748484 70537494 71484306 73882544 74874256 79556464 82031354 84747624 85885176 94049992 95312408 104622726 110823816 112311384 119334696 120059134 121670666 123047031 139496968 141074988 142968612 143836523 152831237 154882663 164062708 169495248 171770352 180088701 182505999 188099984 190624816 199856233 202538867 209245452 221647632 224622768 238669392 240118268 243341332 246094062 278993936 282149976 285937224 287673046 305662474 309765326 328125416 360177402 365011998 399712466 405077734 418490904 431509569 458493711 464647989 480236536 486682664 492188124 533203801 564299952 571874448 575346092 599568699 607616601 611324948 619530652 656250832 697266509 720354804 730023996 799424932 810155468 836981808 863019138 916987422 929295978 960473072 973365328 984376248 1066407602 1150692184 1199137398 1215233202 1222649896 1239061304 1394533018 1440709608 1460047992 1598849864 1599611403 1620310936 1726038276 1775193599 1833974844 1858591956 1869874799 1968752496 2091799527 2132815204 2301384368 2398274796 2430466404 2445220891 2445299792 2478122608 2598131029 2633005271 2789066036 2881419216 2920095984 3197699728 3199222806 3240621872 3452076552 3550387198 3667949688 3717183912 3739749598 4183599054 4265630408 4796549592 4860932808 4890441782 5196262058 5266010542 5325580797 5578132072 5609624397 6398445612 6904153104 7100774396 7335662673 7335899376 7434367824 7479499196 7794393087 7899015813 8367198108 8531260816 9064464617 9593099184 9721865616 9780883564 10392524116 10532021084 10651161594 11156264144 11219248794 12796891224 14201548792 14671325346 14958998392 15588786174 15798031626 16734396216 18128929234 19561767128 20785048232 21064042168 21302323188 21431641927 21719314973 22438497588 23077516787 25593782448 27193393851 28403097584 29342650692 29917996784 30178291183 31177572348 31596063252 31787871583 33468792432 36257858468 39123534256 41570096464 42128084336 42604646376 42863283854 43438629946 44876995176 46155033574 54386787702 58685301384 60356582366 62355144696 63192126504 63575743166 64294925781 65157944919 69232550361 72515716936 85209292752 85726567708 86877259892 89753990352 90534873549 92310067148 95363614749 108773575404 117370602768 120713164732 124710289392 126384253008 127151486332 128589851562 130315889838 138465100722 145031433872 171453135416 173754519784 181069747098 184620134296 190727229498 217547150808 241426329464 254302972664 257179703124 260631779676 276930201444 278611345051 282351094649 342906270832 347509039568 362139494196 364337912759 369228354541 369240268592 381454458996 392317785379 435094301616 482852658928 508605945328 514359406248 521263559352 553860402888 557222690102 564702189298 724278988392 728675825518 738456709082 762908917992 784635570758 835834035153 847053283947 1028718812496 1042527118704 1093013738277 1107685063623 1107720805776 1114445380204 1129404378596 1176953356137 1448557976784 1457351651036 1476913418164 1525817835984 1569271141516 1671668070306 1694106567894 2186027476554 2215370127246 2228890760408 2258808757192 2353906712274 2914703302072 2953826836328 3138542283032 3236177930977 3343336140612 3388213135788 4372054953108 4430740254492 4457781520816 4517617514384 4707813424548 4736392865867 4799968609033 5829406604144 5907653672656 6277084566064 6472355861954 6686672281224 6776426271576 8744109906216 8861480508984 9415626849096 9472785731734 9599937218066 9708533792931 12944711723908 13373344562448 13552852543152 14209178597601 14399905827099 17488219812432 17722961017968 18831253698192 18945571463468 19199874436132 19417067585862 25889423447816 28418357195202 28799811654198 37891142926936 38399748872264 38834135171724 42070313102701 51778846895632 55015024826609 56836714390404 57599623308396 75782285853872 76799497744528 77668270343448 84140626205402 110030049653218 113673428780808 115199246616792 126210939308103 155336540686896 165045074479827 168281252410804 220060099306436 227346857561616 230398493233584 252421878616206 330090148959654 336562504821608 440120198612872 504843757232412 660180297919308 673125009643216 715195322745917 880240397225744 1009687514464824 1320360595838616 1430390645491834 2019375028929648 2145585968237751 2640721191677232 2860781290983668 4291171936475502 5721562581967336 8582343872951004 11443125163934672 17164687745902008 34329375491804016
• Sum of all divisors σ(n): 102534476573491200
• Sum of proper divisors (its aliquot sum) s(n): 68205101081687184
• 34329375491804016 is an abundant number, because the sum of its proper divisors (68205101081687184) is greater than itself. Its abundance is 33875725589883168

Bases of 34329375491804016

• Binary: 1111001111101100110001010010111100011001100101101110000₂
• Hexadecimal: 0x79F662978CCB70
• Base-36: 9E0QXDTM06O

Squares and roots of 34329375491804016

• 34329375491804016 squared (34329375491804016²) is 1178506021657274225411190153728256
• 34329375491804016 cubed (34329375491804016³) is 40457375736824682693205715654157517263213673476096
• The square root of 34329375491804016 is 185281881.1751543501
• The cube root of 34329375491804016 is 325003.9462773023

Scales and comparisons

• 34,329,375,491,804,016 seconds is equal to 1,091,567,952 years, 47 weeks, 1 day, 20 hours, 13 minutes, 36 seconds.
• To count from 1 to 34,329,375,491,804,016 would take you about three billion, two hundred seventy-four million, seven hundred three thousand, eight hundred fifty-eight 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 34329375491804016 cubic inches would be around 27083.7 feet tall.

Recreational maths with 34329375491804016

• 34329375491804016 backwards is 61040819457392343
• The number of decimal digits it has is: 17
• The sum of 34329375491804016's digits is 69
• More coming soon!