34310918220056324

Names of 34310918220056324

• Cardinal: 34310918220056324 can be written as Thirty-four quadrillion, three hundred ten trillion, nine hundred eighteen billion, two hundred twenty million, fifty-six thousand, three hundred twenty-four.

Scientific notation

• Scientific notation: 3.4310918220056324 × 10¹⁶

Factors of 34310918220056324

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 88009950

Divisors of 34310918220056324

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 4 7 11 14 19 22 28 31 38 44 49 62 76 77 98 124 133 154 196 209 217 266 307 308 341 418 434 532 539 589 614 682 836 868 931 1078 1178 1228 1364 1463 1519 1862 2149 2156 2356 2387 2926 3038 3377 3724 4123 4298 4774 5833 5852 6076 6479 6754 8246 8596 9517 9548 10241 11666 12958 13508 15043 16492 16709 19034 20482 23332 23639 25916 28861 30086 33418 38068 40831 40964 45353 47278 57722 60172 64163 66619 66836 81662 90706 94556 104687 115444 128326 133238 163324 165473 180823 181412 209374 256652 266476 285817 317471 330946 361646 418748 449141 466333 571634 634942 661892 723292 732809 898282 932666 1143268 1265761 1269884 1465618 1796564 1865332 1989053 2531522 2931236 3143987 3978106 5063044 5129663 6287974 7956212 8860327 10259326 12575948 13923371 17720654 20518652 27846742 35441308 55693484 88009573 97463597 176019146 194927194 352038292 389854388 616067011 968105303 1232134022 1672181887 1936210606 2464268044 2728296763 3344363774 3872421212 4312469077 5456593526 6688727548 6776737121 8624938154 10913187052 11705273209 13553474242 17249876308 18394000757 19098077341 23410546418 27018938911 27106948484 30011264393 36788001514 38196154682 46821092836 47437159847 51837638497 54037877822 60022528786 73576003028 76392309364 81936912463 94874319694 103675276994 108075755644 120045057572 128758005299 133686541387 163873824926 189132572377 189748639388 207350553988 210078850751 257516010598 267373082774 297208328021 327747649852 362863469479 378265144754 420157701502 513359839309 515032021196 534746165548 570214023467 594416656042 725726938958 756530289508 837587106241 840315403004 901306037093 1026719678618 1140428046934 1188833312084 1323928006639 1451453877916 1470551955257 1675174212482 1802612074186 2053439357236 2080458296147 2280856093868 2540044286353 2647856013278 2941103910514 3350348424964 3593518875163 3605224148372 3991498164269 4160916592294 5080088572706 5295712026556 5646958232399 5863109743687 5882207821028 7187037750326 7982996328538 8321833184588 9213458168651 10160177145412 11293916464798 11726219487374 14374075500652 14563208073029 15914155018579 15965992657076 18426916337302 22587832929596 23452438974748 25154632126141 27940487149883 29126416146058 31828310037158 36853832674604 39528707626793 41041768205809 50309264252282 55880974299766 58252832292116 63656620074316 64494207180557 79057415253586 82083536411618 100618528504564 111399085130053 111761948599532 128988414361114 158114830507172 164167072823236 175055705204369 222798170260106 257976828722228 276700953387551 350111410408738 445596340520212 451459450263899 553401906775102 700222820817476 779793595910371 902918900527798 1106803813550204 1225389936430583 1559587191820742 1805837801055596 2450779872861166 3119174383641484 4901559745722332 8577729555014081 17155459110028162 34310918220056324
• Sum of all divisors σ(n): 83064365322301440
• Sum of proper divisors (its aliquot sum) s(n): 48753447102245116
• 34310918220056324 is an abundant number, because the sum of its proper divisors (48753447102245116) is greater than itself. Its abundance is 14442528882188792

Bases of 34310918220056324

• Binary: 1111001111001011001100100101100011011001000011100000100₂
• Hexadecimal: 0x79E5992C6C8704
• Base-36: 9DU7E8AKCN8

Squares and roots of 34310918220056324

• 34310918220056324 squared (34310918220056324²) is 1177239109103393024715649732392976
• 34310918220056324 cubed (34310918220056324³) is 40392154797898482411118236231024368693950021980224
• The square root of 34310918220056324 is 185232065.8526928051
• The cube root of 34310918220056324 is 324945.6894495355

Scales and comparisons

• 34,310,918,220,056,324 seconds is equal to 1,090,981,068 years, 39 weeks, 3 days, 10 hours, 18 minutes, 44 seconds.
• To count from 1 to 34,310,918,220,056,324 would take you about three billion, two hundred seventy-two million, nine hundred forty-three thousand, two hundred six 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 34310918220056324 cubic inches would be around 27078.8 feet tall.

Recreational maths with 34310918220056324

• 34310918220056324 backwards is 42365002281901343
• The number of decimal digits it has is: 17
• The sum of 34310918220056324's digits is 53
• More coming soon!