137347690656

Names of 137347690656

• Cardinal: 137347690656 can be written as One hundred thirty-seven billion, three hundred forty-seven million, six hundred ninety thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 1.37347690656 × 10¹¹

Factors of 137347690656

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 1924

Divisors of 137347690656

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 19 22 24 29 32 33 38 44 48 57 58 66 76 87 88 96 114 116 132 137 152 174 176 209 228 232 264 274 304 319 348 352 411 418 456 464 528 548 551 608 627 638 696 822 836 912 928 957 1056 1096 1102 1254 1276 1392 1507 1644 1653 1672 1723 1824 1914 2192 2204 2508 2552 2603 2784 3014 3288 3306 3344 3446 3828 3973 4384 4408 4521 5016 5104 5169 5206 6028 6061 6576 6612 6688 6892 7656 7809 7946 8816 9042 10032 10208 10338 10412 11919 12056 12122 13152 13224 13784 15312 15618 15892 17632 18084 18183 18953 20064 20676 20824 23838 24112 24244 26448 27568 28633 30624 31236 31784 32737 36168 36366 37906 41352 41648 43703 47676 48224 48488 49967 52896 55136 56859 57266 62472 63568 65474 72336 72732 75487 75812 82704 83296 85899 87406 95352 96976 98211 99934 113718 114532 124944 127136 130948 131109 144672 145464 149901 150974 151624 165408 171798 174812 190704 193952 196422 199868 226461 227436 229064 236051 249888 261896 262218 290928 299802 301948 303248 343596 349624 360107 381408 392844 399736 452922 454872 458128 472102 523792 524436 549637 581856 599604 603896 606496 687192 699248 708153 720214 785688 799472 830357 905844 909744 916256 944204 949373 1047584 1048872 1080321 1099274 1199208 1207792 1374384 1398496 1416306 1440428 1571376 1598944 1648911 1660714 1811688 1819488 1888408 1898746 2097744 2160642 2198548 2398416 2415584 2491071 2596561 2748768 2832612 2848119 2880856 3142752 3297822 3321428 3623376 3776816 3797492 4195488 4321284 4397096 4484969 4796832 4982142 5193122 5665224 5696238 5761712 6595644 6642856 6845479 7246752 7553632 7594984 7789683 8642568 8794192 8969938 9964284 10386244 10443103 11330448 11392476 11523424 13191288 13285712 13454907 13690958 15189968 15579366 17285136 17588384 17939876 19928568 20536437 20772488 20886206 22660896 22784952 26382576 26571424 26909814 27381916 30379936 31158732 31329309 34570272 35879752 39857136 41072874 41544976 41772412 45569904 49334659 52765152 53819628 54763832 62317464 62658618 71759504 75300269 79714272 82145748 83089952 83544824 91139808 98669318 107639256 109527664 124634928 125317236 130064101 143519008 148003977 150600538 164291496 167089648 197338636 215278512 219055328 225900807 249269856 250634472 260128202 296007954 301201076 328582992 334179296 390192303 394677272 430557024 451801614 501268944 520256404 592015908 602402152 657165984 780384606 789354544 903603228 1002537888 1040512808 1184031816 1204804304 1430705111 1560769212 1578709088 1807206456 2081025616 2368063632 2409608608 2861410222 3121538424 3614412912 4162051232 4292115333 4736127264 5722820444 6243076848 7228825824 8584230666 11445640888 12486153696 17168461332 22891281776 34336922664 45782563552 68673845328 137347690656
• Sum of all divisors σ(n): 431667532800
• Sum of proper divisors (its aliquot sum) s(n): 294319842144
• 137347690656 is an abundant number, because the sum of its proper divisors (294319842144) is greater than itself. Its abundance is 156972151488

Bases of 137347690656

• Binary: 1111111111010100011110111000010100000₂
• Hexadecimal: 0x1FFA8F70A0
• Base-36: 1R3H9ODC

Squares and roots of 137347690656

• 137347690656 squared (137347690656²) is 18864388128536269710336
• 137347690656 cubed (137347690656³) is 2590980145092918338251411653820416
• The square root of 137347690656 is 370604.4935723257
• The cube root of 137347690656 is 5159.4941046003

Scales and comparisons

• 137,347,690,656 seconds is equal to 4,367 years, 12 weeks, 8 hours, 17 minutes, 36 seconds.
• To count from 1 to 137,347,690,656 would take you about eight thousand, seven hundred thirty-four 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 137347690656 cubic inches would be around 430 feet tall.

Recreational maths with 137347690656

• 137347690656 backwards is 656096743731
• 137347690656 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137347690656's digits is 57
• More coming soon!