40015148015345100
40,015,148,015,345,100 is an even composite number composed of six prime numbers multiplied together.
40015148015345100 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 40015148015345100:
22 × 3 × 52 × 13 × 571 × 17968991879
(2 × 2 × 3 × 5 × 5 × 13 × 571 × 17968991879)See below for interesting mathematical facts about the number 40015148015345100 from the Numbermatics database.
Names of 40015148015345100
- Cardinal: 40015148015345100 can be written as Forty quadrillion, fifteen trillion, one hundred forty-eight billion, fifteen million, three hundred forty-five thousand, one hundred.
Scientific notation
- Scientific notation: 4.00151480153451 × 1016
Factors of 40015148015345100
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 8
- Sum of prime factors: 17968992473
Divisors of 40015148015345100
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 571 650 780 975 1142 1300 1713 1950 2284 2855 3426 3900 5710 6852 7423 8565 11420 14275 14846 17130 22269 28550 29692 34260 37115 42825 44538 57100 74230 85650 89076 111345 148460 171300 185575 222690 371150 445380 556725 742300 1113450 2226900 17968991879 35937983758 53906975637 71875967516 89844959395 107813951274 179689918790 215627902548 233596894427 269534878185 359379837580 449224796975 467193788854 539069756370 700790683281 898449593950 934387577708 1078139512740 1167984472135 1347674390925 1401581366562 1796899187900 2335968944270 2695348781850 2803162733124 3503953416405 4671937888540 5390697563700 5839922360675 7007906832810 10260294362909 11679844721350 14015813665620 17519767082025 20520588725818 23359689442700 30780883088727 35039534164050 41041177451636 51301471814545 61561766177454 70079068328100 102602943629090 123123532354908 133383826717817 153904415443635 205205887258180 256507359072725 266767653435634 307808830887270 400151480153451 513014718145450 533535306871268 615617661774540 666919133589085 769522077218175 800302960306902 1026029436290900 1333838267178170 1539044154436350 1600605920613804 2000757400767255 2667676534356340 3078088308872700 3334595667945425 4001514801534510 6669191335890850 8003029603069020 10003787003836275 13338382671781700 20007574007672550 40015148015345100
- Sum of all divisors σ(n): 124901456294334720
- Sum of proper divisors (its aliquot sum) s(n): 84886308278989620
- 40015148015345100 is an abundant number, because the sum of its proper divisors (84886308278989620) is greater than itself. Its abundance is 44871160263644520
Bases of 40015148015345100
- Binary: 100011100010100110010000101010110001011011011101110011002
- Hexadecimal: 0x8E2990AB16DDCC
- Base-36: AY06P7ZTXHO
Squares and roots of 40015148015345100
- 40015148015345100 squared (400151480153451002) is 1601212070689976895385072094010000
- 40015148015345100 cubed (400151480153451003) is 64072738012616646931358941289853533269792851000000
-
The
square root of 40015148015345100 is 200037866.4536919619 -
The
cube root of 40015148015345100 is 342038.3551232977
Scales and comparisons
How big is 40015148015345100?- 40,015,148,015,345,100 seconds is equal to 1,272,357,931 years, 47 weeks, 1 day, 15 hours, 25 minutes.
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To count from 1 to 40,015,148,015,345,100 would take you about three billion, eight hundred seventeen million, seventy-three thousand, seven hundred ninety-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 40015148015345100 cubic inches would be around 28503.2 feet tall.
Recreational maths with 40015148015345100
- 40015148015345100 backwards is 00154351084151004
- The number of decimal digits it has is: 17
- The sum of 40015148015345100's digits is 42
- More coming soon!
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