137689742207300608

Names of 137689742207300608

• Cardinal: 137689742207300608 can be written as One hundred thirty-seven quadrillion, six hundred eighty-nine trillion, seven hundred forty-two billion, two hundred seven million, three hundred thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.37689742207300608 × 10¹⁷

Factors of 137689742207300608

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 8513

Divisors of 137689742207300608

• Number of divisors d(n): 198
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 104 128 208 256 397 416 512 794 832 1024 1588 1664 3176 3328 5161 6352 6656 8101 10322 12704 13312 16202 20644 25408 32404 41288 50816 64808 82576 101632 105313 129616 157609 165152 203264 210626 259232 315218 330304 406528 421252 518464 630436 660608 842504 1036928 1260872 1321216 1685008 2048917 2073856 2521744 2642432 3216097 3370016 4097834 4147712 5043488 5284864 6432194 6740032 8195668 8295424 10086976 12864388 13480064 16391336 20173952 25728776 26960128 32782672 40347904 41809261 51457552 53920256 65565344 65626201 80695808 83618522 102915104 107840512 131130688 131252402 161391616 167237044 205830208 262261376 262504804 334474088 411660416 524522752 525009608 668948176 823320832 853140613 1049045504 1050019216 1276790509 1337896352 1646641664 1706281226 2098091008 2100038432 2553581018 2675792704 3293283328 3412562452 4200076864 5107162036 5351585408 6825124904 8400153728 10214324072 10703170816 13650249808 16598276617 16800307456 20428648144 21406341632 26053601797 27300499616 33196553234 33600614912 40857296288 42812683264 52107203594 54600999232 66393106468 67201229824 81714592576 104214407188 109201998464 132786212936 163429185152 208428814376 218403996928 265572425872 326858370304 338696823361 416857628752 436807993856 531144851744 653716740608 677393646722 833715257504 873615987712 1062289703488 1307433481216 1354787293444 1667430515008 2124579406976 2709574586888 3334861030016 4249158813952 5419149173776 6669722060032 8498317627904 10343279913409 10838298347552 13339444120064 16996635255808 20686559826818 21676596695104 26678888240128 41373119653636 43353193390208 82746239307272 86706386780416 134462638874317 165492478614544 173412773560832 268925277748634 330984957229088 346825547121664 537850555497268 661969914458176 1075701110994536 1323939828916352 2151402221989072 2647879657832704 4302804443978144 5295759315665408 8605608887956288 10591518631330816 17211217775912576 34422435551825152 68844871103650304 137689742207300608
• Sum of all divisors σ(n): 297202927784079618
• Sum of proper divisors (its aliquot sum) s(n): 159513185576779010
• 137689742207300608 is an abundant number, because the sum of its proper divisors (159513185576779010) is greater than itself. Its abundance is 21823443369478402

Bases of 137689742207300608

• Binary: 111101001001011000001011101001101011110110011010000000000₂
• Hexadecimal: 0x1E92C174D7B3400
• Base-36: 11NQXUCAFLDS

Squares and roots of 137689742207300608

• 137689742207300608 squared (137689742207300608²) is 18958465109112898506899814077169664
• 137689742207300608 cubed (137689742207300608³) is 2610386173519858188153110821256082779670918266355712
• The square root of 137689742207300608 is 371065684.4917091063
• The cube root of 137689742207300608 is 516377.3632815127

Scales and comparisons

• 137,689,742,207,300,608 seconds is equal to 4,378,107,899 years, 44 weeks, 3 days, 11 hours, 3 minutes, 28 seconds.
• To count from 1 to 137,689,742,207,300,608 would take you about thirteen billion, one hundred thirty-four million, three hundred twenty-three thousand, six hundred ninety-nine 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 137689742207300608 cubic inches would be around 43031.4 feet tall.

Recreational maths with 137689742207300608

• 137689742207300608 backwards is 806003702247986731
• The number of decimal digits it has is: 18
• The sum of 137689742207300608's digits is 73
• More coming soon!