34007123136

Names of 34007123136

• Cardinal: 34007123136 can be written as Thirty-four billion, seven million, one hundred twenty-three thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 3.4007123136 × 10¹⁰

Factors of 34007123136

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 10037

Divisors of 34007123136

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 151 168 192 204 224 238 272 302 336 357 408 448 453 476 544 604 672 714 816 906 952 1057 1088 1208 1344 1428 1632 1812 1904 2114 2416 2567 2856 3171 3264 3624 3808 4228 4832 5134 5712 6342 7248 7616 7701 8456 9664 9857 10268 11424 12684 14496 15402 16912 17969 19714 20536 22848 25368 28992 29571 30804 33824 35938 39428 41072 50736 53907 59142 61608 67648 68999 71876 78856 82144 101472 107814 118284 123216 137998 143752 157712 164288 167569 202944 206997 215628 236568 246432 275996 287504 315424 335138 413994 431256 473136 492864 502707 551992 575008 630848 670276 827988 862512 946272 1005414 1103984 1150016 1172983 1340552 1488407 1655976 1725024 1892544 2010828 2207968 2345966 2681104 2976814 3311952 3450048 3518949 4021656 4415936 4465221 4691932 5362208 5953628 6623904 7037898 8043312 8930442 9383864 10418849 10724416 11907256 13247808 14075796 16086624 17860884 18767728 20837698 23814512 25302919 28151592 31256547 32173248 35721768 37535456 41675396 47629024 50605838 56303184 62513094 71443536 75070912 75908757 83350792 95258048 101211676 112606368 125026188 142887072 151817514 166701584 177120433 202423352 225212736 250052376 285774144 303635028 333403168 354240866 404846704 500104752 531361299 607270056 666806336 708481732 809693408 1000209504 1062722598 1214540112 1416963464 1619386816 2000419008 2125445196 2429080224 2833926928 4250890392 4858160448 5667853856 8501780784 11335707712 17003561568 34007123136
• Sum of all divisors σ(n): 109612127232
• Sum of proper divisors (its aliquot sum) s(n): 75605004096
• 34007123136 is an abundant number, because the sum of its proper divisors (75605004096) is greater than itself. Its abundance is 41597880960

Bases of 34007123136

• Binary: 11111101010111110111000010011000000₂
• Hexadecimal: 0x7EAFB84C0
• Base-36: FMEYO5C

Squares and roots of 34007123136

• 34007123136 squared (34007123136²) is 1156484423987066474496
• 34007123136 cubed (34007123136³) is 39328708211394201669602875539456
• The square root of 34007123136 is 184410.2034487247
• The cube root of 34007123136 is 3239.8380226903

Scales and comparisons

• 34,007,123,136 seconds is equal to 1,081 years, 16 weeks, 4 days, 23 hours, 5 minutes, 36 seconds.
• To count from 1 to 34,007,123,136 would take you about two thousand, one 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 34007123136 cubic inches would be around 270 feet tall.

Recreational maths with 34007123136

• 34007123136 backwards is 63132170043
• The number of decimal digits it has is: 11
• The sum of 34007123136's digits is 30
• More coming soon!