34200342008217

Names of 34200342008217

• Cardinal: 34200342008217 can be written as Thirty-four trillion, two hundred billion, three hundred forty-two million, eight thousand, two hundred seventeen.

Scientific notation

• Scientific notation: 3.4200342008217 × 10¹³

Factors of 34200342008217

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 643

Divisors of 34200342008217

• Number of divisors d(n): 480
• Complete list of divisors:
  1 3 7 9 11 21 33 49 61 63 73 77 79 99 147 183 219 231 237 343 409 427 441 511 539 549 553 657 671 693 711 803 869 1029 1227 1281 1533 1617 1659 2013 2401 2409 2607 2863 2989 3087 3577 3681 3773 3843 3871 4453 4499 4599 4697 4819 4851 4977 5621 5767 6039 6083 7203 7227 7821 8589 8967 10731 11319 11613 13359 13497 14091 14457 16863 17301 18249 20041 20923 21609 24949 25039 25767 26411 26901 27097 29857 31171 31493 32193 32311 32879 33733 33957 34839 39347 40077 40369 40491 42273 42581 43371 48983 50589 51903 53009 54747 60123 62769 63437 74847 75117 79233 81291 89571 93513 94479 96933 98637 101199 118041 121107 127743 140287 146461 146949 159027 174643 175273 180369 188307 189679 190311 208999 218197 220451 224541 225351 226177 230153 236131 237699 243873 268713 274439 275429 280539 282583 283437 290799 295911 298067 303597 328427 342881 351787 354123 355421 363321 371063 383229 420861 439383 440847 444059 477081 523929 525819 569037 570933 626997 654591 661353 678531 690459 708393 823317 826287 847749 894201 982009 985281 1028643 1055361 1066263 1113189 1222501 1262583 1318149 1332177 1462993 1527379 1543157 1571787 1577457 1583239 1611071 1652917 1707111 1821277 1880991 1921073 1928003 1963773 1970971 1978081 1984059 2035593 2071377 2086469 2125179 2298989 2358703 2400167 2462509 2469951 2478861 2487947 2543247 2597441 2682603 2946027 2955843 3085929 3108413 3166083 3198789 3339567 3667503 3869657 3996531 4388979 4582137 4629471 4749717 4833213 4958751 5463831 5763219 5784009 5912913 5934243 6259407 6896967 7076109 7200501 7387527 7463841 7792323 8557507 8838081 9325239 10240951 10691653 10802099 11002509 11082673 11570419 11608971 12748939 13166937 13447511 13746411 13796797 13846567 13888413 14249151 14499639 14876253 16092923 16391493 16510921 16801169 17237563 17289657 17352027 17415629 17738739 17802729 18182087 18778221 20034047 20690901 21228327 21601503 21680681 21758891 22162581 22391523 23376969 25672521 25945733 27087599 27975717 30722853 32074959 32406297 33248019 34711257 34826913 38246817 40342533 41390391 41539701 48278769 49532763 50403507 51712689 52246887 54546261 59902549 60102141 65042043 65276673 71686657 77017563 77578711 77837199 81262797 89242573 92168559 94132577 96224877 96577579 97218891 99744057 104133771 112650461 114740451 115576447 117608183 120662941 121027599 121909403 124171173 124619103 127274609 140238329 143880883 144836307 148598289 151210521 151764767 152312237 155138067 156740661 163638783 179707647 180306423 181620131 189613193 195126129 195830019 215059971 232736133 233511597 243788391 267727719 282397731 289732737 337951383 346729341 352824549 361988823 365728209 381823827 420714987 431642649 455294301 456936711 539122941 544860393 568839579 624698011 645179913 658928039 676043053 698208399 788553227 803183157 809035129 844640587 847193193 853365821 869198211 981668303 1007166181 1013854149 1040188023 1058473647 1062353369 1085966469 1097184627 1145471481 1262144961 1271340917 1294927947 1327292351 1365882903 1370810133 1582689713 1634581179 1706518737 1874094033 1976784117 2028129159 2365659681 2427105387 2533921761 2560097463 2945004909 3021498543 3187060107 3814022751 3981877053 4372886077 4732301371 4748069139 5622282099 5663245903 5930352351 6084387477 6871678121 7050163267 7096979043 7281316161 7436473583 7601765283 7680292389 8835014727 8899386419 9064495629 9291046457 9561180321 11078827991 11442068253 11945631159 13118658231 14196904113 14244207417 16989737709 20615034363 21150489801 22309420749 26698159257 27873139371 33236483973 39355974693 42590712339 48101746847 49351142869 50969213127 52055315081 61845103089 62295704933 63451469403 66928262247 77551795937 80094477771 83619418113 99709451919 144305240541 148053428607 156165945243 186887114799 232655387811 345458000083 432915721623 444160285821 468497835729 542862571559 560661344397 697966163433 1036374000249 1628587714677 3109122000747 3800038000913 4885763144031 11400114002739 34200342008217
• Sum of all divisors σ(n): 65755935398400
• Sum of proper divisors (its aliquot sum) s(n): 31555593390183
• 34200342008217 is a deficient number, because the sum of its proper divisors (31555593390183) is less than itself. Its deficiency is 2644748618034

Bases of 34200342008217

• Binary: 111110001101011100011001111001001000110011001₂
• Hexadecimal: 0x1F1AE33C9199
• Base-36: C4FF4LS49

Squares and roots of 34200342008217

• 34200342008217 squared (34200342008217²) is 1169663393479012420495519089
• 34200342008217 cubed (34200342008217³) is 40002888091473918707411607370540118354313
• The square root of 34200342008217 is 5848105.8478978473
• The cube root of 34200342008217 is 32459.6238663205

Scales and comparisons

• 34,200,342,008,217 seconds is equal to 1,087,465 years, 4 weeks, 3 days, 18 hours, 16 minutes, 57 seconds.
• To count from 1 to 34,200,342,008,217 would take you about two million, seven hundred eighteen thousand, six hundred sixty-two 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 34200342008217 cubic inches would be around 2705 feet tall.

Recreational maths with 34200342008217

• 34200342008217 backwards is 71280024300243
• The number of decimal digits it has is: 14
• The sum of 34200342008217's digits is 36
• More coming soon!