34106400384

Names of 34106400384

• Cardinal: 34106400384 can be written as Thirty-four billion, one hundred six million, four hundred thousand, three hundred eighty-four.

Scientific notation

• Scientific notation: 3.4106400384 × 10¹⁰

Factors of 34106400384

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 300

Divisors of 34106400384

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 41 42 48 56 62 64 67 82 84 93 96 112 123 124 128 134 149 164 168 186 192 201 217 224 246 248 268 287 298 328 336 372 384 402 434 447 448 469 492 496 536 574 596 651 656 672 744 804 861 868 894 896 938 984 992 1043 1072 1148 1192 1271 1302 1312 1344 1407 1488 1608 1722 1736 1788 1876 1968 1984 2077 2086 2144 2296 2384 2542 2604 2624 2688 2747 2814 2976 3129 3216 3444 3472 3576 3752 3813 3936 3968 4154 4172 4288 4592 4619 4768 5084 5208 5248 5494 5628 5952 6109 6231 6258 6432 6888 6944 7152 7504 7626 7872 8241 8308 8344 8576 8897 9184 9238 9536 9983 10168 10416 10988 11256 11904 12218 12462 12516 12864 13776 13857 13888 14304 14539 15008 15252 15744 16482 16616 16688 17794 18327 18368 18476 19072 19229 19966 20336 20832 21976 22512 24436 24924 25032 25728 26691 27552 27714 27776 28608 29078 29949 30016 30504 32333 32964 33232 33376 35588 36654 36736 36952 38458 39932 40672 41664 42763 43617 43952 45024 48872 49848 50064 53382 55104 55428 57216 57687 58156 59898 60032 61008 64666 65928 66464 66752 69881 71176 73308 73904 76916 79864 81344 83328 85157 85526 87234 87904 90048 96999 97744 99696 100128 106764 110208 110856 115374 116312 119796 122016 128289 129332 131856 132928 133504 139762 142352 146616 147808 153832 159728 162688 170314 171052 174468 175808 180096 189379 193998 195488 199392 200256 209643 213528 221712 230748 232624 239592 244032 255471 256578 258664 263712 265856 279524 284704 293232 295616 307664 309473 319456 340628 342104 348936 351616 378758 387996 390976 398784 400512 409303 419286 427056 443424 461496 465248 479184 488064 510942 513156 517328 527424 559048 568137 569408 586464 591232 596099 615328 618946 638912 681256 684208 697872 757516 775992 781952 797568 818606 838572 854112 886848 922992 928419 930496 958368 1021884 1026312 1034656 1054848 1118096 1136274 1138816 1172928 1192198 1227909 1230656 1237892 1277824 1325653 1362512 1368416 1395744 1515032 1551984 1637212 1677144 1708224 1773696 1788297 1845984 1856838 1860992 1916736 2043768 2052624 2069312 2166311 2236192 2272548 2345856 2384396 2455818 2461312 2475784 2651306 2725024 2736832 2791488 2865121 3030064 3103968 3274424 3354288 3416448 3576594 3691968 3713676 3833472 3976959 4087536 4105248 4138624 4332622 4472384 4545096 4768792 4911636 4951568 5302612 5450048 5473664 5582976 5730242 6060128 6207936 6498933 6548848 6708576 7153188 7383936 7427352 7953918 8175072 8210496 8595363 8665244 8944768 9090192 9537584 9823272 9903136 10605224 10900096 11460484 12120256 12415872 12688393 12997866 13097696 13417152 14306376 14854704 15907836 16350144 16420992 17190726 17330488 18180384 19075168 19646544 19806272 21210448 22920968 24240512 25376786 25995732 26195392 26834304 28612752 29709408 31815672 32700288 34381452 34660976 36360768 38065179 38150336 39293088 39612544 42420896 45841936 50753572 51991464 52390784 57225504 59418816 63631344 68762904 69321952 72721536 76130358 76300672 78586176 84841792 88818751 91683872 101507144 103982928 114451008 118837632 127262688 137525808 138643904 152260716 157172352 169683584 177637502 183367744 203014288 207965856 228902016 254525376 266456253 275051616 277287808 304521432 355275004 366735488 406028576 415931712 509050752 532912506 550103232 609042864 710550008 812057152 831863424 1065825012 1100206464 1218085728 1421100016 1624114304 2131650024 2436171456 2842200032 4263300048 4872342912 5684400064 8526600096 11368800128 17053200192 34106400384
• Sum of all divisors σ(n): 111863808000
• Sum of proper divisors (its aliquot sum) s(n): 77757407616
• 34106400384 is an abundant number, because the sum of its proper divisors (77757407616) is greater than itself. Its abundance is 43651007232

Bases of 34106400384

• Binary: 11111110000111001100101111010000000₂
• Hexadecimal: 0x7F0E65E80
• Base-36: FO22IYO

Squares and roots of 34106400384

• 34106400384 squared (34106400384²) is 1163246547153715347456
• 34106400384 cubed (34106400384³) is 39674152482530151233500011823104
• The square root of 34106400384 is 184679.1823243757
• The cube root of 34106400384 is 3242.9876541895

Scales and comparisons

• 34,106,400,384 seconds is equal to 1,084 years, 24 weeks, 6 days, 6 minutes, 24 seconds.
• To count from 1 to 34,106,400,384 would take you about two thousand, one hundred sixty-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 34106400384 cubic inches would be around 270.2 feet tall.

Recreational maths with 34106400384

• 34106400384 backwards is 48300460143
• The number of decimal digits it has is: 11
• The sum of 34106400384's digits is 33
• More coming soon!