40948687985072805

Names of 40948687985072805

• Cardinal: 40948687985072805 can be written as Forty quadrillion, nine hundred forty-eight trillion, six hundred eighty-seven billion, nine hundred eighty-five million, seventy-two thousand, eight hundred five.

Scientific notation

• Scientific notation: 4.0948687985072805 × 10¹⁶

Factors of 40948687985072805

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 166

Divisors of 40948687985072805

• Number of divisors d(n): 450
• Complete list of divisors:
  1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 151 189 243 245 315 343 405 441 453 567 729 735 755 945 1029 1057 1215 1323 1359 1701 1715 2187 2205 2265 2401 2835 3087 3171 3645 3969 4077 5103 5145 5285 6561 6615 6795 7203 7399 8505 9261 9513 10935 11907 12005 12231 15309 15435 15855 19845 20385 21609 22197 22801 25515 27783 28539 32805 35721 36015 36693 36995 45927 46305 47565 51793 59535 61155 64827 66591 68403 76545 83349 85617 107163 108045 110079 110985 114005 138915 142695 155379 159607 178605 183465 194481 199773 205209 229635 250047 256851 258965 321489 324135 330237 332955 342015 362551 416745 428085 466137 478821 535815 550395 583443 599319 615627 750141 770553 776895 798035 972405 990711 998865 1026045 1087653 1117249 1250235 1284255 1398411 1436463 1607445 1651185 1750329 1797957 1812755 1846881 2250423 2311659 2330685 2394105 2917215 2996595 3078135 3262959 3351747 3442951 3750705 3852765 4195233 4309389 4953555 5250987 5393871 5438265 5540643 5586245 6934977 6992055 7182315 7820743 8751645 8989785 9234405 9788877 10055241 10328853 11252115 11558295 12585699 12928167 15752961 16181613 16314795 16621929 16758735 17214755 20976165 21546945 23462229 24100657 26254935 26969355 27703215 29366631 30165723 30986559 34674885 37757097 38784501 39103715 48544839 48944385 49865787 50276205 51644265 54745201 62928495 64640835 70386687 72301971 78764805 80908065 83109645 88099893 90497169 92959677 113271291 116353503 117311145 120503285 146833155 149597361 150828615 154932795 164235603 168704599 188785485 193922505 211160061 216905913 242724195 249328935 264299679 271491507 273726005 278879031 339813873 349060509 351933435 361509855 440499465 452485845 464798385 492706809 506113797 519885601 566356455 581767515 633480183 650717739 747986805 792899037 814474521 821178015 836637093 843522995 1047181527 1055800305 1084529565 1180932193 1321498395 1357457535 1394395155 1478120427 1518341391 1559656803 1699069365 1745302545 1900440549 1952153217 2378697111 2443423563 2463534045 2509911279 2530568985 2599428005 3167400915 3253588695 3542796579 3639199207 3964495185 4072372605 4183185465 4434361281 4555024173 4678970409 5235907635 5701321647 5856459651 5904660965 7330270689 7390602135 7529733837 7591706955 7798284015 8266525351 9502202745 9760766085 10628389737 10917597621 11893485555 12217117815 12549556395 13303083843 13665072519 14036911227 17103964941 17569378953 17713982895 18195996035 22171806405 22589201511 22775120865 23394852045 24799576053 25474394449 28506608235 29282298255 31885169211 32752792863 36651353445 37648669185 39909251529 40995217557 41332626755 42110733681 51311894823 52708136859 53141948685 54587988105 66515419215 68325362595 70184556135 74398728159 76423183347 85519824705 87846894765 95655507633 98258378589 112946007555 119727754587 122985652671 123997880265 126332201043 127371972245 158124410577 159425846055 163763964315 178320761143 199546257645 204976087785 210553668405 223196184477 229269550041 256559474115 263540684295 286966522899 294775135767 359183263761 368956958013 371993640795 378996603129 382115916735 478277538165 491291892945 534962283429 598638772935 614928263355 631661005215 669588553431 687808650123 790622052885 860899568697 884325407301 891603805715 1106870874039 1115980922385 1136989809387 1146347750205 1248245328001 1434832614495 1473875678835 1604886850287 1795916318805 1844784790065 1894983015645 2008765660293 2063425950369 2582698706091 2652976221903 2674811417145 3347942767155 3410969428161 3439043250615 3744735984003 4304497843485 4421627036505 4814660550861 5534354370195 5684949046935 6026296980879 6190277851107 6241226640005 7748096118273 7958928665709 8024434251435 10043828301465 10317129751845 11234207952009 12913493530455 13264881109515 14443981652583 17054847140805 18078890942637 18570833553321 18723679920015 23876785997127 24073302754305 30131484904395 30951389255535 33702623856027 38740480591365 39794643328545 43331944957749 54236672827911 55712500659963 56171039760045 72219908262915 90394454713185 92854167766605 101107871568081 119383929985635 129995834873247 167137501979889 168513119280135 216659724788745 271183364139555 278562503299815 303323614704243 389987504619741 505539357840405 649979174366235 835687509899445 909970844112729 1169962513859223 1516618073521215 1949937523098705 2729912532338187 4549854220563645 5849812569296115 8189737597014561 13649562661690935 40948687985072805
• Sum of all divisors σ(n): 86555978112808230
• Sum of proper divisors (its aliquot sum) s(n): 45607290127735425
• 40948687985072805 is an abundant number, because the sum of its proper divisors (45607290127735425) is greater than itself. Its abundance is 4658602142662620

Bases of 40948687985072805

• Binary: 10010001011110101001110101100001010111100101101010100101₂
• Hexadecimal: 0x917A9D615E5AA5
• Base-36: B773JKAIPB9

Squares and roots of 40948687985072805

• 40948687985072805 squared (40948687985072805²) is 1676795047698845898682501150568025
• 40948687985072805 cubed (40948687985072805³) is 68662557223135312013194376669667140738946730060125
• The square root of 40948687985072805 is 202357821.6552866657
• The cube root of 40948687985072805 is 344677.8144138923

Scales and comparisons

• 40,948,687,985,072,805 seconds is equal to 1,302,041,615 years, 16 weeks, 3 days, 9 hours, 6 minutes, 45 seconds.
• To count from 1 to 40,948,687,985,072,805 would take you about three billion, nine hundred six million, one hundred twenty-four thousand, eight hundred forty-five 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 40948687985072805 cubic inches would be around 28723.2 feet tall.

Recreational maths with 40948687985072805

• 40948687985072805 backwards is 50827058978684904
• The number of decimal digits it has is: 17
• The sum of 40948687985072805's digits is 90
• More coming soon!