40986008677488960
40,986,008,677,488,960 is an even composite number composed of five prime numbers multiplied together.
40986008677488960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 40986008677488960:
26 × 33 × 5 × 1453 × 3264797663
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 1453 × 3264797663)See below for interesting mathematical facts about the number 40986008677488960 from the Numbermatics database.
Names of 40986008677488960
- Cardinal: 40986008677488960 can be written as Forty quadrillion, nine hundred eighty-six trillion, eight billion, six hundred seventy-seven million, four hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.098600867748896 × 1016
Factors of 40986008677488960
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 3264799126
Divisors of 40986008677488960
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1453 1728 2160 2880 2906 4320 4359 5812 7265 8640 8718 11624 13077 14530 17436 21795 23248 26154 29060 34872 39231 43590 46496 52308 58120 65385 69744 78462 87180 92992 104616 116240 130770 139488 156924 174360 196155 209232 232480 261540 278976 313848 348720 392310 418464 464960 523080 627696 697440 784620 836928 1046160 1255392 1394880 1569240 2092320 2510784 3138480 4184640 6276960 12553920 3264797663 6529595326 9794392989 13059190652 16323988315 19588785978 26118381304 29383178967 32647976630 39177571956 48971964945 52236762608 58766357934 65295953260 78355143912 88149536901 97943929890 104473525216 117532715868 130591906520 146915894835 156710287824 176299073802 195887859780 208947050432 235065431736 261183813040 293831789670 313420575648 352598147604 391775719560 440747684505 470130863472 522367626080 587663579340 626841151296 705196295208 783551439120 881495369010 940261726944 1044735252160 1175327158680 1410392590416 1567102878240 1762990738020 1880523453888 2350654317360 2820785180832 3134205756480 3525981476040 4701308634720 4743751004339 5641570361664 7051962952080 9402617269440 9487502008678 14103925904160 14231253013017 18975004017356 23718755021695 28207851808320 28462506026034 37950008034712 42693759039051 47437510043390 56925012052068 71156265065085 75900016069424 85387518078102 94875020086780 113850024104136 128081277117153 142312530130170 151800032138848 170775036156204 189750040173560 213468795195255 227700048208272 256162554234306 284625060260340 303600064277696 341550072312408 379500080347120 426937590390510 455400096416544 512325108468612 569250120520680 640406385585765 683100144624816 759000160694240 853875180781020 910800192833088 1024650216937224 1138500241041360 1280812771171530 1366200289249632 1518000321388480 1707750361562040 2049300433874448 2277000482082720 2561625542343060 2732400578499264 3415500723124080 4098600867748896 4554000964165440 5123251084686120 6831001446248160 8197201735497792 10246502169372240 13662002892496320 20493004338744480 40986008677488960
- Sum of all divisors σ(n): 144689041689338880
- Sum of proper divisors (its aliquot sum) s(n): 103703033011849920
- 40986008677488960 is an abundant number, because the sum of its proper divisors (103703033011849920) is greater than itself. Its abundance is 62717024334360960
Bases of 40986008677488960
- Binary: 100100011001110010001110110001111111101110011001010000002
- Hexadecimal: 0x919C8EC7FB9940
- Base-36: B7KBSGB6XC0
Squares and roots of 40986008677488960
- 40986008677488960 squared (409860086774889602) is 1679852907311200327934650921881600
- 40986008677488960 cubed (409860086774889603) is 68850465835961914257573732685552233681406427136000
-
The
square root of 40986008677488960 is 202450015.2568257033 -
The
cube root of 40986008677488960 is 344782.4959013221
Scales and comparisons
How big is 40986008677488960?- 40,986,008,677,488,960 seconds is equal to 1,303,228,297 years, 46 weeks, 3 days, 21 hours, 36 minutes.
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To count from 1 to 40,986,008,677,488,960 would take you about three billion, nine hundred nine million, six hundred eighty-four thousand, eight hundred ninety-three 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 40986008677488960 cubic inches would be around 28731.9 feet tall.
Recreational maths with 40986008677488960
- 40986008677488960 backwards is 06988477680068904
- 40986008677488960 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40986008677488960's digits is 90
- More coming soon!
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