40,000
| ||||
---|---|---|---|---|
Cardinal | forty thousand | |||
Ordinal | 40000th (forty thousandth) | |||
Factorization | 26 × 54 | |||
Divisors | 35 total | |||
Greek numeral | ||||
Roman numeral | XL | |||
Binary | 10011100010000002 | |||
Ternary | 20002121113 | |||
Senary | 5051046 | |||
Octal | 1161008 | |||
Duodecimal | 1B19412 | |||
Hexadecimal | 9C4016 |
40,000 (forty thousand) is the natural number that comes after 39,999 and before 40,001. It is the square of 200.
Selected numbers in the range 40001–49999
[edit]40001 to 40999
[edit]- 40320 = smallest factorial (8!) that is not a highly composite number
- 40425 = square pyramidal number
- 40585 = largest factorion[1]
- 40678 = pentagonal pyramidal number
- 40755 = Triangular number, Pentagonal number, Hexagonal number, 390-gonal, 4077-gonal, and 13586-gonal number.[2][3][4]
- 40804 = palindromic square
41000 to 41999
[edit]- 41041 = Carmichael number[5]
- 41472 = 3-smooth number, number of reduced trees with 24 nodes[6]
- 41586 = Large Schröder number
- 41616 = triangular square number[7]
- 41835 = Motzkin number[8]
- 41841 = 1/41841 = 0.0000239 is a repeating decimal with period 7
42000 to 42999
[edit]- 42680 = octahedral number[9]
- 42875 = 353
- 42925 = square pyramidal number
43000 to 43999
[edit]- 43261 = Markov number[10]
- 43380 = number of nets of a dodecahedron
- 43390 = number of primes .[11]
- 43560 = pentagonal pyramidal number
- 43691 = Wagstaff prime[12]
- 43777 = smallest member of a prime sextuplet
44000 to 44999
[edit]- 44044 = palindrome of 79 after 6 iterations of the "reverse and add" iterative process[13]
- 44100 = sum of the cubes of the first 20 positive integers 44,100 Hz is a common sampling frequency in digital audio (and is the standard for compact discs).
- 44444 = repdigit
- 44583 = number of partitions of 41[14]
- 44721 = smallest positive integer such that the expression 1/n − 1/n + 2 ≤ 10−9
- 44724 = maximum number of days in which a human being has been verified to live (Jeanne Calment).[15]
- 44944 = palindromic square
45000 to 45999
[edit]- 45360 = highly composite number;[16] smallest number with exactly 100 factors (including one and itself)
46000 to 46999
[edit]- 46080 = double factorial of 12
- 46233 = sum of the first eight factorials
- 46249 = 2nd number that can be written as in 3 ways[17]
- 46368 = Fibonacci number[18]
- 46656 = 2162 = 363 = 66, 3-smooth number
- 46657 = Carmichael number[5]
- 46972 = number of prime knots with 14 crossings
47000 to 47999
[edit]- 47058 = primary pseudoperfect number[19]
- 47160 = 10-th derivative of xx at x=1[20]
- 47321/33461 ≈ √2
48000 to 48999
[edit]- 48629 = number of trees with 17 unlabeled nodes[21]
- 48734 = number of 22-bead necklaces (turning over is allowed) where complements are equivalent[22]
49000 to 49999
[edit]- 49151 = Woodall number[23]
- 49152 = 3-smooth number
- 49726 = pentagonal pyramidal number
- 49940 = number of 21-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[24]
Primes
[edit]There are 930 prime numbers between 40000 and 50000.
References
[edit]- ^ "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ a b "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A001110 : Square triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ Sloane, N. J. A. (ed.). "Sequence A007053 (Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Reversal-Addition Palindrome Test on 79".
- ^ Sloane, N. J. A. (ed.). "Sequence A000041 (a(n) is the number of partitions of n (the partition numbers))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Amzallag, William (22 September 2016). The Promise of Immortality. Varegus Publishing. ISBN 978-2-9558558-1-2. Retrieved September 22, 2016.
{{cite book}}
:|website=
ignored (help) - ^ Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A359013 (Numbers k that can be written as the sum of a perfect square and a factorial in exactly 3 distinct ways)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A054377 (Primary pseudoperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A005727 (n-th derivative of x^x at x=1. Also called Lehmer-Comtet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.