40456742245998975

Names of 40456742245998975

• Cardinal: 40456742245998975 can be written as Forty quadrillion, four hundred fifty-six trillion, seven hundred forty-two billion, two hundred forty-five million, nine hundred ninety-eight thousand, nine hundred seventy-five.

Scientific notation

• Scientific notation: 4.0456742245998975 × 10¹⁶

Factors of 40456742245998975

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 851

Divisors of 40456742245998975

• Number of divisors d(n): 432
• Complete list of divisors:
  1 3 5 9 13 15 25 27 39 45 65 75 117 135 169 195 225 325 331 351 499 507 585 675 845 975 993 1497 1521 1655 1755 2197 2495 2535 2925 2979 4225 4303 4491 4563 4965 6487 6591 7485 7605 8275 8775 8937 10985 12475 12675 12909 13473 14895 19461 19773 21515 22455 22815 24825 32435 32955 37425 38025 38727 44685 54925 55939 58383 59319 64545 67365 74475 84331 97305 98865 107575 109561 112275 114075 116181 162175 164775 165169 167817 175149 193635 223425 249001 252993 279695 291915 296595 322725 328683 336825 421655 486525 494325 495507 503451 547805 580905 727207 747003 758979 825845 839085 875745 968175 986049 1096303 1245005 1264965 1398475 1424293 1459575 1482975 1486521 1510353 1643415 2108275 2147197 2181621 2241009 2276937 2477535 2517255 2739025 2904525 2958147 3237013 3288909 3636035 3735015 3794895 4129225 4195425 4272879 4378725 4459563 4930245 5481515 6225025 6324825 6441591 6544863 6723027 7121465 7432605 7551765 8217075 9711039 9866727 10735985 10908105 11205045 11384685 12387675 12586275 12818637 14790735 16185065 16444545 18180175 18515809 18675075 18974475 19324773 19634589 21364395 22297815 24651225 27407575 27913561 29133117 29600181 32207955 32724315 33615135 35607325 37163025 37758825 38455911 42081169 48555195 49333635 53679925 54540525 54670939 55547427 56025225 56923425 57974319 64093185 73953675 80925325 82222725 82419331 83740683 87399351 92579045 96623865 98172945 106821975 111489075 126243507 139567805 145665585 148000905 161039775 163621575 164012817 166642281 168075675 192279555 210405845 240705517 242775975 246668175 247257993 251222049 273354695 277737135 289871595 320465925 362876293 378730521 412096655 418703415 436996755 462895225 483119325 490864725 492038451 499926843 547055197 631217535 697839025 710722207 722116551 728327925 740004525 741773979 753666147 820064085 833211405 961397775 1052029225 1071451303 1088628879 1136191563 1203527585 1236289965 1256110245 1366773475 1388685675 1449357975 1476115353 1641165591 1814381465 1893652605 2060483275 2093517075 2132166621 2166349653 2184983775 2225321937 2460192255 2499634215 2735275985 3156087675 3214353909 3265886637 3553611035 3610582755 3708869895 3768330735 4100320425 4166057025 4923496773 5357256515 5443144395 5680957815 6017637925 6181449825 6280551225 6396499863 6499048959 7380576765 8205827955 9071907325 9239388691 9468263025 9643061727 9797659911 10660833105 10831748265 11126609685 12300961275 12498171075 13676379925 13928866939 14770490319 16071769545 16329433185 17768055175 18052913775 18544349475 18841653675 19189499589 24617483865 26786282575 27215721975 27280798561 27718166073 28404789075 28929185181 31982499315 32495244795 36902883825 41029139775 41786600817 46196943455 48215308635 48988299555 53304165525 54158741325 55633048425 69644334695 73852451595 80358847725 81647165925 81842395683 83154498219 95947497945 120112052983 123087419325 125359802451 136403992805 138590830365 144645925905 159912496575 162476223975 181075270207 208933004085 230984717275 241076543175 244941497775 245527187049 249463494657 348221673475 354650381293 360336158949 369262257975 376079407353 409211978415 415772491095 479737489725 543225810621 600560264915 626799012255 682019964025 692954151825 723229629525 736581561147 905376351035 1044665020425 1063951143879 1081008476847 1227635935245 1247317473285 1629677431863 1773251906465 1801680794745 1880397036765 2046059892075 2078862455475 2716129053105 3002801324575 3133995061275 3191853431637 3243025430541 3682907805735 4526881755175 4610454956809 4889032295589 5319755719395 5405042384235 6138179676225 6236587366425 8148387159315 8866259532325 9008403973725 9401985183825 9575560294911 13580645265525 13831364870427 15959267158185 16215127152705 18414539028675 23052274784045 24445161477945 26598778596975 27025211921175 40741935796575 41494094611281 47877801474555 59935914438517 69156824352135 79796335790925 81075635763525 115261373920225 122225807389725 124482283833843 179807743315551 207470473056405 239389007372775 299679572192585 345784121760675 539423229946653 622411419169215 899038716577755 1037352365282025 1498397860962925 1618269689839959 2697116149733265 3112057095846075 4495193582888775 8091348449199795 13485580748666325 40456742245998975
• Sum of all divisors σ(n): 80917221605421600
• Sum of proper divisors (its aliquot sum) s(n): 40460479359422625
• 40456742245998975 is an abundant number, because the sum of its proper divisors (40460479359422625) is greater than itself. Its abundance is 3737113423650

Bases of 40456742245998975

• Binary: 10001111101110110011000101010110010101111010000101111111₂
• Hexadecimal: 0x8FBB315657A17F
• Base-36: B2CPUT74Y9R

Squares and roots of 40456742245998975

• 40456742245998975 squared (40456742245998975²) is 1636747993159198188194395701050625
• 40456742245998975 cubed (40456742245998975³) is 66217491680897774677117878840992707766610173109375
• The square root of 40456742245998975 is 201138614.5075056815
• The cube root of 40456742245998975 is 343291.9631180251

Scales and comparisons

• 40,456,742,245,998,975 seconds is equal to 1,286,399,262 years, 26 weeks, 21 hours, 56 minutes, 15 seconds.
• To count from 1 to 40,456,742,245,998,975 would take you about three billion, eight hundred fifty-nine million, one hundred ninety-seven thousand, seven hundred eighty-seven 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 40456742245998975 cubic inches would be around 28607.7 feet tall.

Recreational maths with 40456742245998975

• 40456742245998975 backwards is 57989954224765404
• The number of decimal digits it has is: 17
• The sum of 40456742245998975's digits is 90
• More coming soon!