40038891885801216

Names of 40038891885801216

• Cardinal: 40038891885801216 can be written as Forty quadrillion, thirty-eight trillion, eight hundred ninety-one billion, eight hundred eighty-five million, eight hundred one thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 4.0038891885801216 × 10¹⁶

Factors of 40038891885801216

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 899

Divisors of 40038891885801216

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 263 288 384 526 576 631 768 789 1052 1152 1262 1578 1893 2104 2304 2367 2524 3156 3786 4208 4734 5048 5679 6312 7572 8416 9468 10096 11358 12624 15144 16832 18936 20192 22716 25248 30288 33664 37872 40384 45432 50496 60576 67328 69169 75744 80768 90864 100992 121152 138338 151488 161536 165953 181728 201984 207507 242304 276676 302976 331906 363456 398161 415014 484608 497859 553352 605952 622521 663812 726912 796322 830028 995718 1106704 1194483 1245042 1327624 1453824 1493577 1592644 1660056 1991436 2213408 2388966 2490084 2655248 2987154 3185288 3320112 3583449 3982872 4426816 4777932 4980168 5310496 5974308 6370576 6640224 7166898 7965744 8853632 9555864 9960336 10620992 11948616 12741152 13280448 14333796 15931488 17707264 19111728 19920672 21241984 23897232 25482304 26560896 28667592 31862976 38223456 39841344 42483968 43645639 47794464 50964608 53121792 57335184 63725952 76446912 79682688 87291278 95588928 101929216 104716343 114670368 127451904 130936917 152893824 159365376 174582556 191177856 209432686 229340736 251239591 261873834 305787648 314149029 349165112 382355712 392810751 418865372 458681472 502479182 523747668 628298058 698330224 753718773 785621502 837730744 917362944 942447087 1004958364 1047495336 1256596116 1396660448 1507437546 1571243004 1675461488 1884894174 2009916728 2094990672 2261156319 2513192232 2793320896 3014875092 3142486008 3350922976 3769788348 4019833456 4189981344 4522312638 5026384464 5586641792 6029750184 6284972016 6701845952 7539576696 8039666912 8379962688 9044625276 10052768928 11173283584 12059500368 12569944032 13403691904 15079153392 16079333824 16759925376 18089250552 20105537856 24119000736 25139888064 26807383808 27540398209 30158306784 32158667648 33519850752 36178501104 40211075712 48238001472 50279776128 55080796418 60316613568 64317335296 66076012433 72357002208 80422151424 82621194627 96476002944 100559552256 110161592836 120633227136 132152024866 144714004416 165242389254 192952005888 198228037299 220323185672 241266454272 247863583881 264304049732 289428008832 330484778508 396456074598 440646371344 495727167762 528608099464 578856017664 594684111897 660969557016 792912149196 881292742688 991454335524 1057216198928 1189368223794 1321939114032 1585824298392 1762585485376 1982908671048 2114432397856 2378736447588 2643878228064 3171648596784 3525170970752 3965817342096 4228864795712 4757472895176 5287756456128 6343297193568 7050341941504 7931634684192 8457729591424 9514945790352 10575512912256 12686594387136 15863269368384 16915459182848 17377991269879 19029891580704 21151025824512 25373188774272 31726538736768 34755982539758 38059783161408 50746377548544 52133973809637 63453077473536 69511965079516 76119566322816 104267947619274 139023930159032 152239132645632 156401921428911 208535895238548 278047860318064 312803842857822 417071790477096 556095720636128 625607685715644 834143580954192 1112191441272256 1251215371431288 1668287161908384 2224382882544512 2502430742862576 3336574323816768 4448765765089024 5004861485725152 6673148647633536 10009722971450304 13346297295267072 20019445942900608 40038891885801216
• Sum of all divisors σ(n): 116066548587794896
• Sum of proper divisors (its aliquot sum) s(n): 76027656701993680
• 40038891885801216 is an abundant number, because the sum of its proper divisors (76027656701993680) is greater than itself. Its abundance is 35988764816192464

Bases of 40038891885801216

• Binary: 10001110001111110010100011111000000011011010111100000000₂
• Hexadecimal: 0x8E3F28F80DAF00
• Base-36: AY8LP079340

Squares and roots of 40038891885801216

• 40038891885801216 squared (40038891885801216²) is 1603112863442878454826706267078656
• 40038891885801216 cubed (40038891885801216³) is 64186862620126619001998597942276676663590252445696
• The square root of 40038891885801216 is 200097206.0919422633
• The cube root of 40038891885801216 is 342105.9937468921

Scales and comparisons

• 40,038,891,885,801,216 seconds is equal to 1,273,112,913 years, 28 weeks, 2 days, 2 hours, 33 minutes, 36 seconds.
• To count from 1 to 40,038,891,885,801,216 would take you about three billion, eight hundred nineteen million, three hundred thirty-eight thousand, seven hundred forty 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 40038891885801216 cubic inches would be around 28508.8 feet tall.

Recreational maths with 40038891885801216

• 40038891885801216 backwards is 61210858819883004
• 40038891885801216 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40038891885801216's digits is 72
• More coming soon!