137417796768

Names of 137417796768

• Cardinal: 137417796768 can be written as One hundred thirty-seven billion, four hundred seventeen million, seven hundred ninety-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37417796768 × 10¹¹

Factors of 137417796768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 35

Divisors of 137417796768

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 343 368 392 483 529 552 588 644 672 686 736 784 966 1029 1058 1104 1127 1176 1288 1372 1568 1587 1932 2058 2116 2208 2254 2352 2401 2576 2744 3174 3381 3703 3864 4116 4232 4508 4704 4802 5152 5488 6348 6762 7203 7406 7728 7889 8232 8464 9016 9604 10976 11109 12167 12696 13524 14406 14812 15456 15778 16464 16807 16928 18032 19208 22218 23667 24334 25392 25921 27048 28812 29624 31556 32928 33614 36064 36501 38416 44436 47334 48668 50421 50784 51842 54096 55223 57624 59248 63112 67228 73002 76832 77763 85169 88872 94668 97336 100842 103684 108192 110446 115248 117649 118496 126224 134456 146004 155526 165669 170338 177744 181447 189336 194672 201684 207368 220892 230496 235298 252448 255507 268912 292008 311052 331338 340676 352947 355488 362894 378672 386561 389344 403368 414736 441784 470596 511014 537824 544341 584016 596183 622104 662676 681352 705894 725788 757344 773122 806736 829472 883568 941192 1022028 1088682 1159683 1168032 1192366 1244208 1270129 1325352 1362704 1411788 1451576 1546244 1613472 1767136 1788549 1882384 2044056 2177364 2319366 2384732 2488416 2540258 2650704 2705927 2725408 2823576 2903152 3092488 3577098 3764768 3810387 4088112 4173281 4354728 4638732 4769464 5080516 5301408 5411854 5647152 5806304 6184976 7154196 7620774 8117781 8176224 8346562 8709456 8890903 9277464 9538928 10161032 10823708 11294304 12369952 12519843 14308392 15241548 16235562 16693124 17418912 17781806 18554928 19077856 20322064 21647416 25039686 26672709 28616784 29212967 30483096 32471124 33386248 35563612 37109856 40644128 43294832 50079372 53345418 57233568 58425934 60966192 62236321 64942248 66772496 71127224 86589664 87638901 100158744 106690836 116851868 121932384 124472642 129884496 133544992 142254448 175277802 186708963 200317488 204490769 213381672 233703736 248945284 259768992 284508896 350555604 373417926 400634976 408981538 426763344 467407472 497890568 613472307 701111208 746835852 817963076 853526688 934814944 995781136 1226944614 1402222416 1431435383 1493671704 1635926152 1991562272 2453889228 2804444832 2862870766 2987343408 3271852304 4294306149 4907778456 5725741532 5974686816 6543704608 8588612298 9815556912 11451483064 17177224596 19631113824 22902966128 34354449192 45805932256 68708898384 137417796768
• Sum of all divisors σ(n): 439969078080
• Sum of proper divisors (its aliquot sum) s(n): 302551281312
• 137417796768 is an abundant number, because the sum of its proper divisors (302551281312) is greater than itself. Its abundance is 165133484544

Bases of 137417796768

• Binary: 1111111111110101111010010110010100000₂
• Hexadecimal: 0x1FFEBD2CA0
• Base-36: 1R4N0ALC

Squares and roots of 137417796768

• 137417796768 squared (137417796768²) is 18883650868571351245824
• 137417796768 cubed (137417796768³) is 2594949697295204624005786040696832
• The square root of 137417796768 is 370699.0649677983
• The cube root of 137417796768 is 5160.3718054305

Scales and comparisons

• 137,417,796,768 seconds is equal to 4,369 years, 23 weeks, 6 days, 18 hours, 12 minutes, 48 seconds.
• To count from 1 to 137,417,796,768 would take you about eight thousand, seven hundred thirty-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 137417796768 cubic inches would be around 430 feet tall.

Recreational maths with 137417796768

• 137417796768 backwards is 867697714731
• The number of decimal digits it has is: 12
• The sum of 137417796768's digits is 66
• More coming soon!