40,000

"40k" redirects here. For the tabletop game, see Warhammer 40,000. For the isotope 40K, see Potassium-40.

Natural number

| <- 39999 | 40000 | 40001 ->

|
|

* List of numbers
* Integers

← 0 10k 20k 30k 40k 50k 60k 70k 80k 90k →

Cardinal| forty thousand
Ordinal| 40000th
(forty thousandth)
Factorization| 26 × 54
Divisors| 35 total
Greek numeral|  M δ {\displaystyle {\stackrel {\delta }{\mathrm {M} }}}
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  ≤ 2 19 {\displaystyle \leq 2^{19}} .[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  a 2 + b ! {\displaystyle a^{2}+b!} 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]

1. ^ "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
2. ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. ^ Sloane, N. J. A. (ed.). "Sequence A000326 (Pentagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. ^ Sloane, N. J. A. (ed.). "Sequence A000384 (Hexagonal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. ^ a b "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
6. ^ Sloane, N. J. A. (ed.). "Sequence A000014 (Number of series-reduced trees with n nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
7. ^ "Sloane's A001110 : Square triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
8. ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
9. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
10. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
11. ^ Sloane, N. J. A. (ed.). "Sequence A007053 (Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
12. ^ Sloane, N. J. A. (ed.). "Sequence A000979 (Wagstaff primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
13. ^ "Reversal-Addition Palindrome Test on 79".
14. ^ 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.
15. ^ Amzallag, William. "The Promise of Immortality". books/google.com. Varegus Publishing. Retrieved September 22, 2016.
16. ^ Sloane, N. J. A. (ed.). "Sequence A002182 (Highly composite numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
17. ^ 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.
18. ^ Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
19. ^ Sloane, N. J. A. (ed.). "Sequence A054377 (Primary pseudoperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
20. ^ 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.
21. ^ Sloane, N. J. A. (ed.). "Sequence A000055 (Number of trees with n unlabeled nodes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
22. ^ 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.
23. ^ Sloane, N. J. A. (ed.). "Sequence A003261 (Woodall numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
24. ^ 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.

* v
* t
* e

Integers

* -1
* 0
* 1
* 2
* 3
* 4
* 5
* 6
* 7
* 8
* 9

* 10
* 11
* 12
* 13
* 14
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* 40
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100s

* 100
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* 110
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200s

* 200
* 201
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* 204
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* 206
* 207
* 208
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* 210
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* 212
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* 240
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300s

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400s

* 400
* 401
* 402
* 403
* 404
* 405
* 406
* 407
* 408
* 409

* 410
* 411
* 412
* 413
* 414
* 415
* 416
* 417
* 418
* 419

* 420
* 421
* 422
* 423
* 424
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* 426
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* 428
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* 430
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* 433
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* 435
* 436
* 437
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* 440
* 441
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* 443
* 444
* 445
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* 447
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* 450
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* 453
* 454
* 455
* 456
* 457
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* 460
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* 462
* 463
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* 470
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* 480
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500s

* 500
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* 560
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* 570
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* 580
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* 590
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600s

* 600
* 601
* 602
* 603
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* 605
* 606
* 607
* 608
* 609

* 610
* 611
* 612
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* 614
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* 619

* 620
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* 630
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* 640
* 641
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* 660
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* 670
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* 680
* 681
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* 690
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* 697
* 698
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700s

* 700
* 701
* 702
* 703
* 704
* 705
* 706
* 707
* 708
* 709

* 710
* 711
* 712
* 713
* 714
* 715
* 716
* 717
* 718
* 719

* 720
* 721
* 722
* 723
* 724
* 725
* 726
* 727
* 728
* 729

* 730
* 731
* 732
* 733
* 734
* 735
* 736
* 737
* 738
* 739

* 740
* 741
* 742
* 743
* 744
* 745
* 746
* 747
* 748
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* 750
* 751
* 752
* 753
* 754
* 755
* 756
* 757
* 758
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* 760
* 761
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* 764
* 765
* 766
* 767
* 768
* 769

* 770
* 771
* 772
* 773
* 774
* 775
* 776
* 777
* 778
* 779

* 780
* 781
* 782
* 783
* 784
* 785
* 786
* 787
* 788
* 789

* 790
* 791
* 792
* 793
* 794
* 795
* 796
* 797
* 798
* 799

800s

* 800
* 801
* 802
* 803
* 804
* 805
* 806
* 807
* 808
* 809

* 810
* 811
* 812
* 813
* 814
* 815
* 816
* 817
* 818
* 819

* 820
* 821
* 822
* 823
* 824
* 825
* 826
* 827
* 828
* 829

* 830
* 831
* 832
* 833
* 834
* 835
* 836
* 837
* 838
* 839

* 840
* 841
* 842
* 843
* 844
* 845
* 846
* 847
* 848
* 849

* 850
* 851
* 852
* 853
* 854
* 855
* 856
* 857
* 858
* 859

* 860
* 861
* 862
* 863
* 864
* 865
* 866
* 867
* 868
* 869

* 870
* 871
* 872
* 873
* 874
* 875
* 876
* 877
* 878
* 879

* 880
* 881
* 882
* 883
* 884
* 885
* 886
* 887
* 888
* 889

* 890
* 891
* 892
* 893
* 894
* 895
* 896
* 897
* 898
* 899

900s

* 900
* 901
* 902
* 903
* 904
* 905
* 906
* 907
* 908
* 909

* 910
* 911
* 912
* 913
* 914
* 915
* 916
* 917
* 918
* 919

* 920
* 921
* 922
* 923
* 924
* 925
* 926
* 927
* 928
* 929

* 930
* 931
* 932
* 933
* 934
* 935
* 936
* 937
* 938
* 939

* 940
* 941
* 942
* 943
* 944
* 945
* 946
* 947
* 948
* 949

* 950
* 951
* 952
* 953
* 954
* 955
* 956
* 957
* 958
* 959

* 960
* 961
* 962
* 963
* 964
* 965
* 966
* 967
* 968
* 969

* 970
* 971
* 972
* 973
* 974
* 975
* 976
* 977
* 978
* 979

* 980
* 981
* 982
* 983
* 984
* 985
* 986
* 987
* 988
* 989

* 990
* 991
* 992
* 993
* 994
* 995
* 996
* 997
* 998
* 999

≥1000

* 1000
* 2000
* 3000
* 4000
* 5000
* 6000
* 7000
* 8000
* 9000

* 10,000
* 20,000
* 30,000
* 40,000
* 50,000
* 60,000
* 70,000
* 80,000
* 90,000

* 100,000
* 1,000,000
* 10,000,000
* 100,000,000
* 1,000,000,000

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