137906756320948736

Names of 137906756320948736

• Cardinal: 137906756320948736 can be written as One hundred thirty-seven quadrillion, nine hundred six trillion, seven hundred fifty-six billion, three hundred twenty million, nine hundred forty-eight thousand, seven hundred thirty-six.

Scientific notation

• Scientific notation: 1.37906756320948736 × 10¹⁷

Factors of 137906756320948736

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1200

Divisors of 137906756320948736

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1187 1331 1408 1936 2374 2662 2816 3872 4748 5324 5632 7744 9496 10648 13057 14641 15488 18992 21296 26114 29282 30976 37984 42592 52228 58564 61952 75968 85184 104456 117128 143627 151936 161051 170368 208912 234256 287254 303872 322102 340736 417824 468512 574508 607744 644204 681472 835648 937024 1149016 1288408 1408969 1579897 1671296 1874048 2298032 2576816 2817938 3159794 3342592 3748096 4596064 5153632 5635876 6319588 6685184 7496192 9192128 10307264 11271752 12639176 15498659 17378867 18384256 20614528 22543504 25278352 30997318 34757734 36768512 41229056 45087008 50556704 61994636 69515468 73537024 82458112 90174016 101113408 123989272 139030936 170485249 180348032 191167537 202226816 247978544 278061872 340970498 360696064 382335074 404453632 495957088 556123744 681940996 721392128 764670148 808907264 991914176 1112247488 1363881992 1529340296 1672446203 1875337739 1983828352 2224494976 2727763984 3058680592 3344892406 3750675478 3967656704 4448989952 5455527968 6117361184 6689784812 7501350956 7935313408 8897979904 10911055936 12234722368 13379569624 15002701912 18396908233 20628715129 21822111872 24469444736 26759139248 30005403824 36793816466 41257430258 43644223744 48938889472 53518278496 60010807648 73587632932 82514860516 87288447488 97877778944 107036556992 120021615296 147175265864 165029721032 202365990563 214073113984 226915866419 240043230592 294350531728 330059442064 404731981126 428146227968 453831732838 480086461184 588701063456 660118884128 809463962252 856292455936 907663465676 960172922368 1177402126912 1320237768256 1618927924504 1815326931352 2226025896193 2354804253824 2640475536512 3237855849008 3630653862704 4452051792386 4709608507648 5280951073024 6475711698016 7261307725408 8904103584772 9419217015296 10561902146048 12951423396032 14522615450816 17808207169544 24486284858123 25902846792064 29045230901632 35616414339088 48972569716246 51805693584128 58090461803264 71232828678176 97945139432492 103611387168256 116180923606528 142465657356352 195890278864984 269349133439353 284931314712704 391780557729968 538698266878706 569862629425408 783561115459936 1077396533757412 1139725258850816 1567122230919872 2154793067514824 3134244461839744 4309586135029648 6268488923679488 8619172270059296 12536977847358976 17238344540118592 34476689080237184 68953378160474368 137906756320948736
• Sum of all divisors σ(n): 303353972350339680
• Sum of proper divisors (its aliquot sum) s(n): 165447216029390944
• 137906756320948736 is an abundant number, because the sum of its proper divisors (165447216029390944) is greater than itself. Its abundance is 27540459708442208

Bases of 137906756320948736

• Binary: 111101001111100010111011011010110101000101111001000000000₂
• Hexadecimal: 0x1E9F176D6A2F200
• Base-36: 11PVV58YK6WW

Squares and roots of 137906756320948736

• 137906756320948736 squared (137906756320948736²) is 19018273438965534151128923139997696
• 137906756320948736 cubed (137906756320948736³) is 2622748400792591631727764861380076957657587574112256
• The square root of 137906756320948736 is 371357989.4400398329
• The cube root of 137906756320948736 is 516648.5099719863

Scales and comparisons

• 137,906,756,320,948,736 seconds is equal to 4,385,008,277 years, 20 weeks, 5 days, 22 hours, 38 minutes, 56 seconds.
• To count from 1 to 137,906,756,320,948,736 would take you about thirteen billion, one hundred fifty-five million, twenty-four thousand, eight hundred thirty-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 137906756320948736 cubic inches would be around 43054 feet tall.

Recreational maths with 137906756320948736

• 137906756320948736 backwards is 637849023657609731
• The number of decimal digits it has is: 18
• The sum of 137906756320948736's digits is 86
• More coming soon!