40688133031854080

Names of 40688133031854080

• Cardinal: 40688133031854080 can be written as Forty quadrillion, six hundred eighty-eight trillion, one hundred thirty-three billion, thirty-one million, eight hundred fifty-four thousand and eighty.

Scientific notation

• Scientific notation: 4.068813303185408 × 10¹⁶

Factors of 40688133031854080

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 531

Divisors of 40688133031854080

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 32 40 64 80 128 157 160 256 314 320 367 512 628 640 734 785 1024 1256 1280 1468 1570 1835 2048 2512 2560 2936 3140 3670 4096 5024 5120 5872 6280 7340 8192 10048 10240 11744 12560 14680 16384 20096 20480 23488 25120 29360 32768 40192 40960 46976 50240 57619 58720 65536 80384 81920 93952 100480 115238 117440 131072 134689 160768 163840 187904 200960 230476 234880 262144 269378 288095 321536 327680 375808 401920 460952 469760 524288 538756 576190 643072 655360 673445 751616 803840 921904 939520 1048576 1077512 1152380 1286144 1310720 1346890 1503232 1607680 1843808 1879040 2155024 2304760 2572288 2621440 2693780 3006464 3215360 3687616 3758080 4310048 4609520 5144576 5242880 5387560 6012928 6430720 7375232 7516160 8620096 9219040 10289152 10775120 12025856 12861440 14750464 15032320 17240192 18438080 20578304 21146173 21550240 24051712 25722880 29500928 30064640 34480384 36876160 41156608 42292346 43100480 48103424 49430863 51445760 59001856 60129280 68960768 73752320 82313216 84584692 86200960 96206848 98861726 102891520 105730865 118003712 120258560 137921536 147504640 164626432 169169384 172401920 192413696 197723452 205783040 211461730 236007424 240517120 247154315 275843072 295009280 338338768 344803840 384827392 395446904 411566080 422923460 472014848 481034240 494308630 551686144 590018560 676677536 689607680 790893808 823132160 845846920 944029696 962068480 988617260 1103372288 1180037120 1353355072 1379215360 1581787616 1691693840 1888059392 1924136960 1977234520 2206744576 2360074240 2706710144 2758430720 3163575232 3383387680 3776118784 3954469040 4413489152 4720148480 5413420288 5516861440 6327150464 6766775360 7552237568 7760645491 7908938080 8826978304 9440296960 10826840576 11033722880 12654300928 13533550720 15104475136 15521290982 15817876160 17653956608 18880593920 21653681152 22067445760 25308601856 27067101440 30208950272 31042581964 31635752320 35307913216 37761187840 38803227455 43307362304 44134891520 50617203712 54134202880 60417900544 62085163928 63271504640 70615826432 75522375680 77606454910 86614724608 88269783040 101234407424 108268405760 124170327856 126543009280 141231652864 151044751360 155212909820 173229449216 176539566080 202468814848 216536811520 248340655712 253086018560 302089502720 310425819640 346458898432 353079132160 404937629696 433073623040 496681311424 506172037120 620851639280 692917796864 706158264320 809875259392 866147246080 993362622848 1012344074240 1241703278560 1385835593728 1619750518784 1732294492160 1986725245696 2024688148480 2483406557120 2771671187456 3239501037568 3464588984320 3973450491392 4049376296960 4966813114240 5543342374912 6479002075136 6929177968640 7946900982784 8098752593920 9933626228480 11086684749824 12958004150272 13858355937280 15893801965568 16197505187840 19867252456960 22173369499648 25916008300544 27716711874560 31787603931136 32395010375680 39734504913920 51832016601088 55433423749120 63575207862272 64790020751360 79469009827840 110866847498240 127150415724544 129580041502720 158938019655680 254300831449088 259160083005440 317876039311360 508601662898176 635752078622720 1017203325796352 1271504157245440 2034406651592704 2543008314490880 4068813303185408 5086016628981760 8137626606370816 10172033257963520 20344066515927040 40688133031854080
• Sum of all divisors σ(n): 98541963321836160
• Sum of proper divisors (its aliquot sum) s(n): 57853830289982080
• 40688133031854080 is an abundant number, because the sum of its proper divisors (57853830289982080) is greater than itself. Its abundance is 17165697258128000

Bases of 40688133031854080

• Binary: 10010000100011011010010000110011111100000000000000000000₂
• Hexadecimal: 0x908DA433F00000
• Base-36: B4MQM9QPAM8

Squares and roots of 40688133031854080

• 40688133031854080 squared (40688133031854080²) is 1655524169617855088279962412646400
• 40688133031854080 cubed (40688133031854080³) is 67360187650861046347602577291234590260631437312000
• The square root of 40688133031854080 is 201712996.6855236623
• The cube root of 40688133031854080 is 343945.2010461727

Scales and comparisons

• 40,688,133,031,854,080 seconds is equal to 1,293,756,773 years, 39 weeks, 1 day, 11 hours, 1 minute, 20 seconds.
• To count from 1 to 40,688,133,031,854,080 would take you about three billion, eight hundred eighty-one million, two hundred seventy thousand, three hundred twenty-one 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 40688133031854080 cubic inches would be around 28662.1 feet tall.

Recreational maths with 40688133031854080

• 40688133031854080 backwards is 08045813033188604
• The number of decimal digits it has is: 17
• The sum of 40688133031854080's digits is 62
• More coming soon!